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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">IJPDS</journal-id>
<journal-title-group>
<journal-title>International Journal of Population Data Science</journal-title>
<abbrev-journal-title>IJPDS</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2399-4908</issn>
<publisher>
<publisher-name>Swansea University</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.23889/ijpds.v9i1.2400</article-id>
<article-id pub-id-type="publisher-id">6:9:14</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Population Data Science</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Evaluating the &#x201C;right@home&#x201D; randomized trial of nurse home visiting using linked administrative data at school transition</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Price</surname><given-names initials="A">Anna</given-names></name><xref ref-type="aff" rid="affil-1">1</xref><xref ref-type="aff" rid="affil-2">2</xref><xref ref-type="aff" rid="affil-3">3</xref><xref ref-type="corresp" rid="correspondingAurthor">*</xref></contrib>
<contrib contrib-type="author"><name><surname>Zhang</surname><given-names initials="J">Jiaxin</given-names></name><xref ref-type="aff" rid="affil-3">3</xref><xref ref-type="aff" rid="affil-4">4</xref></contrib>
<contrib contrib-type="author"><name><surname>Goldfeld</surname><given-names initials="S">Sharon</given-names></name><xref ref-type="aff" rid="affil-1">1</xref><xref ref-type="aff" rid="affil-2">2</xref><xref ref-type="aff" rid="affil-3">3</xref></contrib>
<contrib contrib-type="author"><name><surname>Carlin</surname><given-names initials="J">John</given-names></name><xref ref-type="aff" rid="affil-3">3</xref><xref ref-type="aff" rid="affil-4">4</xref></contrib>
<contrib contrib-type="author"><name><surname>Mensah</surname><given-names initials="F">Fiona</given-names></name><xref ref-type="aff" rid="affil-2">2</xref><xref ref-type="aff" rid="affil-4">3</xref></contrib>
<aff id="affil-1"><label>1</label><institution>Centre for Community Child Health, The Royal Children&#x2019;s Hospital, Parkville, VIC 3052, Australia</institution></aff>
<aff id="affil-2"><label>2</label><institution>Population Health, Murdoch Children&#x2019;s Research Institute, Parkville, VIC 3052, Australia</institution></aff>
<aff id="affil-3"><label>3</label><institution>Department of Paediatrics, University of Melbourne, Parkville, VIC 3052, Australia</institution></aff>
<aff id="affil-4"><label>4</label><institution>Clinical Epidemiology and Biostatistics Unit, Murdoch Children&#x2019;s Research Institute, The Royal Children&#x2019;s Hospital, Parkville, VIC 3052, Australia</institution></aff>
</contrib-group>
<author-notes>
<corresp id="correspondingAurthor"><label>*</label>Corresponding author: Anna Price <email>anna.price@mcri.edu.au</email>
</corresp>
<fn fn-type="conflict">
<label>Statement on conflicts of interest</label>
<p>The &#x201C;right@home&#x201D; sustained nurse home visiting trial is a research collaboration between the Australian Research Alliance for Children and Youth (ARACY); the Translational Research and Social Innovation (TReSI) Group at Western Sydney University; and the Centre for Community Child Health (CCCH), which is a department of The Royal Children&#x2019;s Hospital and a research group of Murdoch Children&#x2019;s Research Institute. Ownership of the right@home implementation and support license, which is purchased by Australian state governments for roll out for fidelity support, is shared between institutes.</p>
</fn>
</author-notes>
<pub-date date-type="pub" publication-format="electronic"><day>16</day><month>05</month><year>2024</year></pub-date>
<pub-date date-type="collection" publication-format="electronic"><year>2024</year></pub-date>
<volume>9</volume>
<issue>1</issue>
<elocation-id>2400</elocation-id>
<permissions>
<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/">
<license-p>This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.</license-p>
</license>
</permissions>
<self-uri xlink:href="https://ijpds.org/article/view/2400">This article is available from the IJPDS website at: https://ijpds.org/article/view/2400</self-uri>
<abstract>
<title>Abstract</title>
<sec>
<title>Introduction</title>
<p>Nurse home visiting (NHV) is designed to redress child and maternal health inequities, but long-term evaluation is hampered by sample attrition. Evaluation using administrative data has the potential to overcome attrition through provision of a more complete outcome profile. Australia&#x2019;s &#x201C;right@home&#x201D; trial is the only long-running evaluation of NHV designed for a population with universal healthcare.</p>
</sec>
<sec>
<title>Objectives</title>
<p>To investigate the effects of the NHV program on children&#x2019;s health and development outcomes and service use, compared with usual care (comparator), using linked administrative data at school transition.</p>
</sec>
<sec>
<title>Methods</title>
<p>A screening survey identified pregnant women experiencing adversity from antenatal clinics across two states (Victoria, Tasmania). 722 were randomized: 363 to the right@home program (25 visits promoting parenting and home learning environment) and 359 to usual care. At children&#x2019;s first birthdays, 198/237 (83.5%) Tasmanian and 420/485 (86.6%) Victorian parents consented to data linkage with the Tasmanian Kindergarten Development Check (KDC, 4 years) and Victorian School Entrant Health Questionnaire (SEHQ, 5-6 years), respectively. Jurisdictional differences meant measures could not be harmonized, and variables varied in their interpretability. Following best-practice methods for managing missing data, outcomes were compared between groups (intention-to-treat) using regression models adjusted for stratification factors, baseline variables, and nurse/site cluster.</p>
</sec>
<sec>
<title>Results</title>
<p>Linked data were obtained for n = 134/237 (56.5%) Tasmanian and n = 252/485 (52.0%) Victorian children. These children had substantially higher prevalence of negative life events and poorer health and development outcomes, and used similar or more services than children state-wide. Compared with usual care, the NHV program increased KDC achievement and SEHQ health service use. There was less evidence for program impacts on SEHQ outcomes.</p>
</sec>
<sec>
<title>Conclusions</title>
<p>Benefits of NHV were evident at school transition for child development outcomes and service use. This adds further evidence for NHV being an important component of universal health services that deliver support responsive to families&#x2019; needs.</p>
</sec>
<sec>
<title>Registration</title>
<p>ISRCTN89962120</p>
</sec>
</abstract>
<kwd-group>
<kwd>child development</kwd>
<kwd>child health</kwd>
<kwd>disadvantage</kwd>
<kwd>linked administrative data</kwd>
<kwd>nurse home visiting</kwd>
<kwd>randomized controlled trial</kwd>
<kwd>school transition</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec>
<title>Introduction</title>
<p>The first 1000 days of life from conception to 2 years lay the foundation for ongoing health and development [<xref ref-type="bibr" rid="ref-1">1</xref>]. Socioeconomic adversity in the family environment (commonly termed disadvantage), such as poor parental mental health and poverty, can diminish women&#x2019;s and children&#x2019;s lifelong opportunities, spanning cognitive development, educational attainment, employment, and societal participation [<xref ref-type="bibr" rid="ref-1">1</xref>&#x2013;<xref ref-type="bibr" rid="ref-3">3</xref>]. Nurse home visiting (NHV) is a model of service delivery that supports women experiencing adversity to overcome common barriers to service access [<xref ref-type="bibr" rid="ref-4">4</xref>]. NHV provides intensive and sustained support from a nurse in the home from pregnancy or a child&#x2019;s birth until children typically turn two years old [<xref ref-type="bibr" rid="ref-4">4</xref>, <xref ref-type="bibr" rid="ref-5">5</xref>]. Overcoming barriers to service access and providing effective interventions in the home is important because morbidity and mortality increase as adversity increases, yet access to timely, high-quality interventions decreases [<xref ref-type="bibr" rid="ref-6">6</xref>, <xref ref-type="bibr" rid="ref-7">7</xref>]. This phenomenon is known as the inverse care law [<xref ref-type="bibr" rid="ref-5">5</xref>]. NHV is one the few public health programs with evidence for benefits to maternal and child outcomes and reductions in inequities [<xref ref-type="bibr" rid="ref-8">8</xref>]. However, long-term follow-up of NHV programs is challenging due to the resource-intensive nature of engaging and retaining families experiencing adversity, and the effects that attrition has on representativeness and statistical precision [<xref ref-type="bibr" rid="ref-9">9</xref>, <xref ref-type="bibr" rid="ref-10">10</xref>]. Linkage with administrative data has the potential to overcome these challenges by enabling a more complete outcome profile.</p>
<p>Almost all previous randomized controlled trials (RCTs) of NHV programs have ended follow-up by the time children turn 3 years old [<xref ref-type="bibr" rid="ref-11">11</xref>]. This is problematic because benefits of NHV for children become increasingly evident as children grow older, requiring long-term follow-up [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-13">13</xref>]. Of six trials to evaluate NHV programs to school entry age (5&#x2013;7 years), Australia&#x2019;s &#x201C;right@home&#x201D; program is the only one designed for a high-income country with universal healthcare [<xref ref-type="bibr" rid="ref-4">4</xref>, <xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-14">14</xref>]. Annual follow-up with participating women and children since completing program delivery at 2 years has demonstrated program benefits across domains including parenting, the home environment, maternal mental health and wellbeing from 2-6 years, and benefits to children&#x2019;s behavior at 5-6 years, and their learning, reading, and social skills at 6 years [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-15">15</xref>&#x2013;<xref ref-type="bibr" rid="ref-17">17</xref>]. The other five long-running RCTs of NHV trialed Nurse Family Partnership (NFP) or an adaptation of it, which was designed for young and single women in the United States (US). Three trials were evaluated by the model developer in the US; one was tested in the United Kingdom (UK; &#x201C;Building Blocks&#x201D;) [<xref ref-type="bibr" rid="ref-18">18</xref>]; and one was adapted to Germany&#x2019;s health system with delivery by midwives (&#x201C;Pro Kind&#x201D;) [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-19">19</xref>]. Despite differences in content, dose, populations, and settings, the trials have reported benefits across domains including children&#x2019;s learning and behavior, although specific effects are mixed between studies [<xref ref-type="bibr" rid="ref-12">12</xref>].</p>
<p>When the Australian right@home protocol was originally developed and funded in 2012, the trial&#x2019;s primary endpoint was specified at the children&#x2019;s second birthdays [<xref ref-type="bibr" rid="ref-14">14</xref>]. To overcome the limitations of this short-term follow-up, at the 1-year-old follow-up wave, participating women were invited to consent to future data linkage with their child&#x2019;s school transition data. Administrative data are an important resource for research, yet may have limited usefulness since neither the data nor their collection are usually designed for research purposes [<xref ref-type="bibr" rid="ref-20">20</xref>]. Improving the quality of administrative data research is also difficult because the challenges are rarely published [<xref ref-type="bibr" rid="ref-20">20</xref>]. Of the long-running NHV RCTs, only the UK Building Blocks trial was evaluated using administrative data (the other published trials collected data directly), and the authors found no evidence of effects on the primary outcome of child maltreatment [<xref ref-type="bibr" rid="ref-18">18</xref>]. There were secondary benefits to school readiness and reading, but not school attendance, or science or mathematics levels. In instances such as this, where the program was not originally designed for the population, and the data collection was not designed for the research, it is challenging to distinguish potential program effects from the design elements [<xref ref-type="bibr" rid="ref-20">20</xref>, <xref ref-type="bibr" rid="ref-21">21</xref>].</p>
<p>In Australia, right@home was designed to improve the learning and development of children raised in adversity by school entry, and delivered and tested across two states, Tasmania and Victoria [<xref ref-type="bibr" rid="ref-4">4</xref>, <xref ref-type="bibr" rid="ref-14">14</xref>]. In Tasmania, the Kindergarten Development Check (KDC) is completed by educators for every child in government-funded kindergartens in the year before school entry (age 4 years; note, kindergarten is preschool education). The KDC comprises 21 items across five domains: speech, language, listening and speaking, cognitive development, personal and social behavior, gross motor, and fine motor. In Victoria, the School Entrant Health Questionnaire (SEHQ) [<xref ref-type="bibr" rid="ref-22">22</xref>] is sent home with all children in the first year of school (&#x201C;Grade Prep&#x201D;, ages 5&#x2013;6 years) for completion by a caregiver, and returned for scoring by school nurses. The SEHQ comprises five sections with questions covering health, speech and language, behavior and emotional wellbeing (collectively termed &#x201C;health and development&#x201D; throughout) plus service use, and family issues and stressors. The KDC and SEHQ differ in terms of child age, respondents, and measures. However, the domains (except the SEHQ family issues and stressors) broadly align with the outcomes specified by the right@home program logic [<xref ref-type="bibr" rid="ref-14">14</xref>, <xref ref-type="bibr" rid="ref-21">21</xref>]. As such, we aimed to use the linked administrative data to investigate the effects of the right@home NHV program compared with usual care on children&#x2019;s health and development outcomes and service use at the period of transition to primary education.</p>
</sec>
<sec>
<title>Methods</title>
<sec>
<title>Design and setting</title>
<p>RCT of a NHV program delivered from pregnancy to children&#x2019;s second birthdays, embedded in and compared with Australia&#x2019;s existing universal Child and Family Health Nursing services (usual care). Published protocol <uri>https://doi.org/10.1136/bmjopen-2016-013307</uri> [<xref ref-type="bibr" rid="ref-14">14</xref>]. This paper presents analysis of linked administrative data obtained in 2019-22, reported according to the Consolidated Standards of Reporting Trials (CONSORT) statement.</p>
</sec>
<sec>
<title>Participants</title>
<p>Researchers recruited pregnant women attending antenatal clinics of 10 public maternity hospitals across Tasmania and Victoria, 30 April 2013 to 29 August 2014. Both states are multicultural and seek to provide healthcare and health promotion with culturally and linguistically diverse families including Aboriginal and Torres Strait Islander communities [<xref ref-type="bibr" rid="ref-23">23</xref>, <xref ref-type="bibr" rid="ref-24">24</xref>]. Trial enrolment was offered to all eligible and consenting women. The trial did not recruit participants according to cultural background nor was able to modify the provision of the program at this stage. Eligible women: (i) had due dates before 1 October 2014, (ii) were less than 37 weeks gestation, (iii) had sufficient English for face-to-face interviews, (iv) lived within travel boundaries specified by participating areas; and (v) had 2 or more of 10 risk factors identified at screening (young woman during pregnancy; not living with another adult; no support in pregnancy; poor health; a long-term illness, health problem, or disability that limits daily activities; currently smokes; stress, anxiety or difficulty coping; low education; no person in the household currently earning an income; and never having had a job before). Women were excluded if they: (i) were enrolled in an existing Tasmanian NHV program for 15-19-year-olds, (ii) did not comprehend the recruitment invitation (e.g., intellectual disability), (iii) had no mechanism for contact, or (iv) experienced a critical event (e.g., termination of pregnancy, stillbirth, child death).</p>
</sec>
<sec>
<title>Procedure and consent</title>
<p>Following screening, eligible women provided informed consent and completed a home-based baseline interview. Women were randomized to control or intervention groups with a 1:1 allocation following a computer-generated schedule stratified by site and parity (first-time parent). Managerial staff, participants and intervention teams were aware of allocation. Researchers who conducted annual follow-ups were blinded to randomization. At the 1-year interview, the 637/722 (88.2%) participating parents were invited to consent to future data linkage with their child&#x2019;s school transition data. <xref ref-type="fig" rid="fig-1">Figure 1</xref> shows that when the linked data were requested from the state education departments, n = 198/237 (83.5%) Tasmanian and n = 420/485 (86.6%) Victorian children had consent for linkage and women had not withdrawn from the original cohort of n = 722.</p>
<fig id="fig-1"><label>Figure 1: Participant flow (CONSORT)</label>
<graphic xlink:href="ijpds-06-2400-g001.tif"/>
<attrib>SEHQ: Victorian School Entrant Health Questionnaire. KDC: Tasmanian Kindergarten Development Check. Not matched: Data linkage was not possible if (1) the SEHQ/KDC assessment was not completed, (2) the child was no longer enrolled in a Victorian or Tasmanian primary school, or (3) the child&#x2019;s name and/or date of birth did not match study information; however, these reasons were not enumerated by the education departments.</attrib>
<attrib>Note, Victorian communities&#x2019; experience of the COVID-19 pandemic reduced SEHQ completion rates, which were 66% of eligible enrolments in 2020 compared with an average of around 80% in pre-2020 years, and 75% in 2021; however, the response proportions for the domains were similar between years.</attrib>
</fig>
</sec>
<sec>
<title>Program development</title>
<p>Conducted in partnership with the Tasmanian and Victorian state governments, the right@home NHV program was developed from reviews of the evidence for factors that promote children&#x2019;s neurodevelopment, effective interventions for home-based parenting programs, and processes for working with families experiencing adversity [<xref ref-type="bibr" rid="ref-4">4</xref>]. The resulting intervention was structured using the Maternal Early Childhood Sustained Home-visiting (MECSH) framework and training [<xref ref-type="bibr" rid="ref-25">25</xref>], augmented by five evidence-based strategies for content (infant/child sleep, safety, nutrition, regulation, bonding/relationship) and two delivery approaches (video feedback and motivational interviewing) [<xref ref-type="bibr" rid="ref-4">4</xref>, <xref ref-type="bibr" rid="ref-14">14</xref>]. When the intervention ended, nurses supported families to connect with the local community-based services. Implementation was enabled using detailed fidelity monitoring [<xref ref-type="bibr" rid="ref-26">26</xref>]. An Expert Reference Group incorporated stakeholders and experts to advise on the design, implementation, and interpretation of the trial; no formal data monitoring committee was implemented. The trial is registered at ISRCTN89962120 (status: complete). Funding was obtained to extend direct follow-up (annual interviews and assessments) until child age 6 years and are previously published [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-15">15</xref>&#x2013;<xref ref-type="bibr" rid="ref-17">17</xref>].</p>
</sec>
<sec>
<title>Intervention delivery</title>
<p>Women randomized to the intervention group were offered 25 nurse home visits (mean 23.2 home visits [SD 7.4] received), commencing antenatally and delivered mostly by the same nurse (of 18) trained in the right@home NHV model [<xref ref-type="bibr" rid="ref-17">17</xref>, <xref ref-type="bibr" rid="ref-26">26</xref>]. Nurses were Child and Family Health Nurses who, during the period of implementation, required nursing and midwifery qualifications. Most intervention women (75.6%) also received one or more home visits by a social care practitioner (mean 1.7, range 0-15), who provided case management as needed (e.g. connecting families to services such as emergency relief and legal aid) [<xref ref-type="bibr" rid="ref-17">17</xref>, <xref ref-type="bibr" rid="ref-26">26</xref>].</p>
</sec>
<sec>
<title>Usual Child and Family Health service (comparator)</title>
<p>Women in the control group received up to six (Tasmania) or nine (Victoria) free consultations to age 2 years (mean 7.6 consultations [SD 4.3] received) [<xref ref-type="bibr" rid="ref-17">17</xref>]. After an initial home visit, subsequent appointments were conducted in local clinics. The Victorian service also included flexibility to offer additional home-based appointments in the first year postpartum depending on family need.</p>
</sec>
<sec>
<title>Measures and procedure</title>
<p>The items and scoring for the Tasmanian Kindergarten Development Check (KDC) [<xref ref-type="bibr" rid="ref-27">27</xref>] and Victorian School Entrant Health Questionnaire (SEHQ) [<xref ref-type="bibr" rid="ref-28">28</xref>] are described in <xref ref-type="supplementary-material" rid="sup-a">Supplementary Table 1</xref>. The KDC was developed for the Tasmanian Government in 1994 to identify Kindergarten students who were not achieving expected development outcomes. Subsequent revisions over time were made in line with the state government&#x2019;s curriculum framework, although the item sources were not specified. The version completed by educators for children in the current study comprised 21 items across five sub-domains [<xref ref-type="bibr" rid="ref-27">27</xref>]. The publicly available KDC information states: &#x201C;<italic>The Check provides information to support teachers&#x2019; educational planning and referral to allied health professionals when required</italic>&#x201D; [<xref ref-type="bibr" rid="ref-29">29</xref>].</p>
<p>The Victorian SEHQ has been distributed since 1997, and also undergone revisions over time. The publicly available information states: &#x201C;<italic>The SEHQ is an annual survey that records parents&#x2019; concerns and observations about their child&#x2019;s health and wellbeing during their child&#x2019;s first year at school. The questionnaire is completed by parents and guardians of Prep children in Victorian primary schools through the Victorian Primary School Nursing Program across the year. The information collected in the SEHQ is a starting point for nurses to carry out further assessment of the child and family and determine appropriate intervention and/or referral as required. Analysis of the SEHQ data is also used to inform planning and service delivery</italic>&#x201D; [<xref ref-type="bibr" rid="ref-22">22</xref>]. In the version completed by caregivers of children in this study, the Strengths and Difficulties Questionnaire (SDQ) and the Parental Evaluation of Development Status (PEDS) were included as measures children&#x2019;s behavior, emotional wellbeing, health and development (<xref ref-type="supplementary-material" rid="sup-a">Supplementary Table 1</xref>). Children&#x2019;s speech and language, health service use, and family issues and stressors, were assessed with a range of categorical items that were originally selected through literature reviews, piloting and revision, although the sources were not specified [<xref ref-type="bibr" rid="ref-28">28</xref>].</p>
</sec>
<sec>
<title>Data linkage</title>
<p>The procedures for obtaining linked data were similar between jurisdictions. They involved completing online applications to the state education departments for access to the data, which, once approved, were followed by securely sharing copies of the participant consent forms and a summary of identifying data (name, date of birth, school if known). The education departments then identified and provided the participating student data. Consistent with the literature on using population data linkage for research, the methods for data capture, processing and linkage were opaque [<xref ref-type="bibr" rid="ref-20">20</xref>]. In correspondence with the departments, the lead author learned that this was likely because many individuals and departments are responsible for the many steps (e.g. survey distribution, collection, scoring, data entry, cleaning, linkage) and information is not always available or shared between them.</p>
<p>The Tasmanian children in right@home turned four years old and began kindergarten in 2018-20. The Victorian children in right@home turned five years old and began school in 2019-21. Both departments publish annual reports summarizing the measures [<xref ref-type="bibr" rid="ref-22">22</xref>, <xref ref-type="bibr" rid="ref-29">29</xref>]. The published data (termed &#x201C;state-wide&#x201D; throughout) are presented from 2020 for comparison as this was the closest year with data available. The Tasmanian KDC was intended for completion by educators of the 70% of students enrolled in a government kindergarten program; however, neither the denominators nor numerators are published. The Victorian SEHQ was completed by n <italic>=</italic> 53,967 (66%) of eligible enrolments in 2020, which was a lower response fraction than earlier years (around 80%) due to the COVID-19 pandemic. Demographics and outcomes of responding parents were similar across the years. Neither state&#x2019;s descriptive data were weighted to approximate population characteristics and data on representativeness were not published.</p>
<p>Given the complex nature of the right@home NHV intervention, multifactorial outcomes are required to evaluate the program across the breadth of intended effects [<xref ref-type="bibr" rid="ref-30">30</xref>]. To comprehensively evaluate the balance of evidence for treatment effects, we examined the direction and magnitude of estimated effects, including uncertainty and variability, for the multiple health and development and health service outcomes [<xref ref-type="bibr" rid="ref-31">31</xref>]. This approach follows the rationale for our previous stages of the trial evaluation [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-15">15</xref>&#x2013;<xref ref-type="bibr" rid="ref-17">17</xref>]. The KDC and SEHQ cannot be harmonized so they were analyzed and reported separately.</p>
</sec>
<sec>
<title>Statistical analyses</title>
<sec>
<title>Sample size</title>
<p>The initial RCT sample size was calculated to detect a minimum effect size of 0.3 SDs in the continuous parent responsivity outcome at 2 years [<xref ref-type="bibr" rid="ref-14">14</xref>]. A target sample size of 714 participants was estimated to provide 80% power, with 5% significance level, accounting for clustering by nurse provider, and 40% attrition. A final sample size of 722 participants was achieved.</p>
</sec>
<sec>
<title>Descriptive analysis</title>
<p>Frequencies and proportions were used to describe baseline characteristics between trial groups by retention (data linked versus lost to follow-up), and to compare the right@home usual care cohort with state-wide proportions for the Tasmanian KDC and Victorian SEHQ in 2020. These comparisons were undertaken to understand whether, consistent with the literature, children born to women experiencing adversity during pregnancy would experience more negative life events and poorer outcomes in early childhood.</p>
</sec>
<sec>
<title>Primary analyses</title>
<p>Following best practice and consistent with previous stages of the trial evaluation [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-32">32</xref>], inverse probability weighting was used to address missing data for the Tasmanian cohort (for which the data that were linked was complete), and multiple imputation and inverse probability weighting were used to address missing data for the Victorian cohort (for which linked data included item level missing data), with the aim of estimating intention-to-treat effects [<xref ref-type="bibr" rid="ref-33">33</xref>]. Details are provided in the <xref ref-type="supplementary-material" rid="sup-a">Supplementary Material</xref>. Treatment effects were estimated as odds ratios (OR) using logistic regression methods. Multivariable models were used to adjust for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage [<xref ref-type="bibr" rid="ref-34">34</xref>], maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. Maternal language other than English was also included for child language outcomes. All regression analyses accounted for effects of nurse clustering using robust variance estimation. Summary plots are presented to illustrate the estimated treatment benefits across the range of outcomes [<xref ref-type="bibr" rid="ref-35">35</xref>]. Data were analyzed using R version 4.2.1.</p>
</sec>
<sec>
<title>Secondary/sensitivity analyses</title>
<p>Available case analyses, where all participant data for a given outcome are available, were conducted to evaluate the sensitivity of the findings to sample attrition and missing data.</p>
</sec>
</sec>
</sec>
<sec>
<title>Results</title>
<sec>
<title>Participant characteristics</title>
<p><xref ref-type="fig" rid="fig-1">Figure 1</xref> presents the participant flow (CONSORT). Of the 722 women enrolled in the right@home trial, data were successfully linked (matched) for n = 134/237 (56.5%) Tasmanian and n = 252/485 (52.0%) Victorian children. Data linkage was not possible if the KDC/SEHQ assessment was not completed, the child was no longer enrolled in an eligible primary school, or the child&#x2019;s name or date of birth did not match study information; however, reasons were not enumerated by the education departments. The proportion of women who consented and had matched data was higher for the intervention (n = 212/363, 58.4%) than the usual care group (n = 174/359, 48.5%). This is likely due to having more contact with the intervention women in the first two years of the trial.</p>
<p><xref ref-type="table" rid="table-1">Table 1</xref> presents the enrolment (baseline) characteristics for each trial group, by participating families with linked data and lost to follow-up. More families with either parent born in a non-English-speaking country, or with no more than high school education, were lost to follow-up. At randomization, the usual care group had slightly higher proportions of female babies and 3 or more risk factors at screening, and these differences were evident in the follow-up frequencies. Otherwise, the distributions of participant characteristics by follow-up status and trial group were similar.</p>
<table-wrap id="table-1">
<label>Table 1: Baseline characteristics according to provision of linked data at school transition with number of participants (%) unless stated 8.710.7</label>
<table frame="hsides" rules="groups">
<col width="18%"/>
<col width="12%"/>
<col width="10%"/>
<col width="12%"/>
<col width="01%"/>
<col width="10%"/>
<col width="12%"/>
<col width="01%"/>
<col width="12%"/>
<col width="10%"/>
<tbody>
<tr>
<td rowspan="2" valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt">Baseline characteristics (pregnancy)</td>
<td colspan="3" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Randomized</bold> <break/><bold>(N = 722)</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td colspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Linked data provided</bold> <break/><bold>(N = 386)</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td colspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Lost to follow-up</bold> <break/><bold>(N = 336)</bold></td>
</tr>
<tr>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Program group</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Usual care group</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Missing %</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Program group</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Usual care group</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Program group</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Usual care group</bold></td>
</tr>
<tr>
<td valign="middle" align="left">n</td>
<td valign="middle" align="center">363</td>
<td valign="middle" align="center">359</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">212</td>
<td valign="middle" align="center">174</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">151</td>
<td valign="middle" align="center">185</td>
</tr>
<tr>
<td valign="middle" align="left">Maternal age (years), mean (SD)<sup>a</sup></td>
<td valign="middle" align="center">27.46 (6.09)</td>
<td valign="middle" align="center">27.83 (6.37)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">27.51 (5.89)</td>
<td valign="middle" align="center">28.12 (6.55)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">27.40 (6.38)</td>
<td valign="middle" align="center">27.56 (6.19)</td>
</tr>
<tr>
<td valign="middle" align="left">Education status</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">10.5</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Did not complete high school</td>
<td valign="middle" align="center">80 (24.8)</td>
<td valign="middle" align="center">82 (25.3)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">46 (24.3)</td>
<td valign="middle" align="center">39 (24.4)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">34 (25.6)</td>
<td valign="middle" align="center">43 (26.2)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Completed high school</td>
<td valign="middle" align="center">32 (9.9)</td>
<td valign="middle" align="center">19 (5.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">14 (7.4)</td>
<td valign="middle" align="center">8 (5.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">18 (13.5)</td>
<td valign="middle" align="center">11 (6.7)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Completed vocational training</td>
<td valign="middle" align="center">176 (54.7)</td>
<td valign="middle" align="center">188 (58.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">108 (57.1)</td>
<td valign="middle" align="center">99 (61.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">68 (51.1)</td>
<td valign="middle" align="center">89 (54.3)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Completed degree or higher</td>
<td valign="middle" align="center">34 (10.6)</td>
<td valign="middle" align="center">35 (10.8)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">21 (11.1)</td>
<td valign="middle" align="center">14 (8.8)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">13 (9.8)</td>
<td valign="middle" align="center">21 (12.8)</td>
</tr>
<tr>
<td valign="middle" align="left">Employed in paid work</td>
<td valign="middle" align="center">124 (34.2)</td>
<td valign="middle" align="center">120 (33.4)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">72 (34.0)</td>
<td valign="middle" align="center">61 (35.1)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">52 (34.4)</td>
<td valign="middle" align="center">59 (31.9)</td>
</tr>
<tr>
<td valign="middle" align="left">Partnered</td>
<td valign="middle" align="center">256 (70.5)</td>
<td valign="middle" align="center">260 (72.4)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">148 (69.8)</td>
<td valign="middle" align="center">123 (70.7)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">108 (71.5)</td>
<td valign="middle" align="center">137 (74.1)</td>
</tr>
<tr>
<td valign="middle" align="left">Either parent born in a non-English speaking country</td>
<td valign="middle" align="center">81 (22.6)</td>
<td valign="middle" align="center">90 (25.4)</td>
<td valign="middle" align="center">1.1</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">34 (16.2)</td>
<td valign="middle" align="center">37 (21.4)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">47 (31.5)</td>
<td valign="middle" align="center">53 (29.1)</td>
</tr>
<tr>
<td colspan="10" valign="middle" align="left">Poor Mental health</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;DASS Depression, &#x003E;85th percentile score</td>
<td valign="middle" align="center">64 (17.6)</td>
<td valign="middle" align="center">57 (15.9)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">40 (18.9)</td>
<td valign="middle" align="center">20 (11.5)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">24 (15.9)</td>
<td valign="middle" align="center">37 (20.0)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;DASS Anxiety, &#x003E;85th percentile score</td>
<td valign="middle" align="center">157 (43.3)</td>
<td valign="middle" align="center">149 (41.5)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">94 (44.3)</td>
<td valign="middle" align="center">68 (39.1)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">63 (41.7)</td>
<td valign="middle" align="center">81 (43.8)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;DASS Stress, &#x003E;85th percentile score</td>
<td valign="middle" align="center">73 (20.1)</td>
<td valign="middle" align="center">68 (18.9)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">41 (19.3)</td>
<td valign="middle" align="center">29 (16.7)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">32 (21.2)</td>
<td valign="middle" align="center">39 (21.1)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Above 85th centile for any DASS subscale</td>
<td valign="middle" align="center">173 (47.7)</td>
<td valign="middle" align="center">164 (45.7)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">102 (48.1)</td>
<td valign="middle" align="center">73 (42.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">71 (47.0)</td>
<td valign="middle" align="center">91 (49.2)</td>
</tr>
<tr>
<td valign="middle" align="left">AQoL global utility score (mean (SD))</td>
<td valign="middle" align="center">0.64 (0.18)</td>
<td valign="middle" align="center">0.64 (0.18)</td>
<td valign="middle" align="center">0.1</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">0.63 (0.19)</td>
<td valign="middle" align="center">0.66 (0.17)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">0.66 (0.18)</td>
<td valign="middle" align="center">0.63 (0.19)</td>
</tr>
<tr>
<td valign="middle" align="left">3 or more risk factors at screening (of 10)</td>
<td valign="middle" align="center">211 (58.1)</td>
<td valign="middle" align="center">236 (65.7)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">122 (57.5)</td>
<td valign="middle" align="center">115 (66.1)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">89 (58.9)</td>
<td valign="middle" align="center">121 (65.4)</td>
</tr>
<tr>
<td valign="middle" align="left">Self-reported general health</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">1.4</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Poor</td>
<td valign="middle" align="center">10 (2.8)</td>
<td valign="middle" align="center">10 (2.8)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">7 (3.3)</td>
<td valign="middle" align="center">2 (1.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">3 (2.0)</td>
<td valign="middle" align="center">8 (4.4)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Fair</td>
<td valign="middle" align="center">44 (12.2)</td>
<td valign="middle" align="center">51 (14.5)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">27 (12.9)</td>
<td valign="middle" align="center">17 (9.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">17 (11.3)</td>
<td valign="middle" align="center">34 (18.8)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Good</td>
<td valign="middle" align="center">151 (41.9)</td>
<td valign="middle" align="center">136 (38.6)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">92 (43.8)</td>
<td valign="middle" align="center">67 (39.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">59 (39.3)</td>
<td valign="middle" align="center">69 (38.1)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Very good</td>
<td valign="middle" align="center">118 (32.8)</td>
<td valign="middle" align="center">119 (33.8)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">64 (30.5)</td>
<td valign="middle" align="center">66 (38.6)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">54 (36.0)</td>
<td valign="middle" align="center">53 (29.3)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Excellent</td>
<td valign="middle" align="center">37 (10.3)</td>
<td valign="middle" align="center">36 (10.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">20 (9.5)</td>
<td valign="middle" align="center">19 (11.1)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">17 (11.3)</td>
<td valign="middle" align="center">17 (9.4)</td>
</tr>
<tr>
<td valign="middle" align="left">Smokes</td>
<td valign="middle" align="center">119 (32.8)</td>
<td valign="middle" align="center">118 (32.9)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">73 (34.4)</td>
<td valign="middle" align="center">54 (31.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">46 (30.5)</td>
<td valign="middle" align="center">64 (34.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Parity: second child or more</td>
<td valign="middle" align="center">228 (62.8)</td>
<td valign="middle" align="center">228 (63.5)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">130 (61.3)</td>
<td valign="middle" align="center">113 (64.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">98 (64.9)</td>
<td valign="middle" align="center">115 (62.2)</td>
</tr>
<tr>
<td valign="middle" align="left">Baby&#x2019;s sex: female</td>
<td valign="middle" align="center">191 (54.4)</td>
<td valign="middle" align="center">154 (44.6)</td>
<td valign="middle" align="center">3.6</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">120 (56.6)</td>
<td valign="middle" align="center">84 (48.3)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">71 (51.1)</td>
<td valign="middle" align="center">70 (40.9)</td>
</tr>
<tr>
<td valign="middle" align="left">Self-efficacy<sup>b</sup></td>
<td valign="middle" align="center">244 (67.6)</td>
<td valign="middle" align="center">247 (68.8)</td>
<td valign="middle" align="center">0.3</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">142 (67.3)</td>
<td valign="middle" align="center">120 (69.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">102 (68.0)</td>
<td valign="middle" align="center">127 (68.6)</td>
</tr>
<tr>
<td valign="middle" align="left">SEIFA Index of Social Disadvantage Score</td>
<td valign="middle" align="center">947.95 (62.84)</td>
<td valign="middle" align="center">952.40 (66.34)</td>
<td valign="middle" align="center">3.2</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">945.97 (62.59)</td>
<td valign="middle" align="center">951.10 (64.47)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">950.81 (63.30)</td>
<td valign="middle" align="center">953.63 (68.22)</td>
</tr>
<tr>
<td valign="middle" align="left">Language other than English spoken at home</td>
<td valign="middle" align="center">33 (9.1)</td>
<td valign="middle" align="center">40 (11.2)</td>
<td valign="middle" align="center">0.3</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">17 (8.0)</td>
<td valign="middle" align="center">16 (9.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">16 (10.6)</td>
<td valign="middle" align="center">24 (13.0)</td>
</tr>
<tr>
<td valign="middle" align="left">Household main source of income</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Full time employment</td>
<td valign="middle" align="center">166 (45.7)</td>
<td valign="middle" align="center">168 (46.8)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">100 (47.2)</td>
<td valign="middle" align="center">79 (45.4)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">66 (43.7)</td>
<td valign="middle" align="center">89 (48.1)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Part time employment</td>
<td valign="middle" align="center">29 (8.0)</td>
<td valign="middle" align="center">34 (9.5)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">13 (6.1)</td>
<td valign="middle" align="center">16 (9.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">16 (10.6)</td>
<td valign="middle" align="center">18 (9.7)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Benefit/Pension</td>
<td valign="middle" align="center">159 (43.8)</td>
<td valign="middle" align="center">150 (41.8)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">93 (43.9)</td>
<td valign="middle" align="center">75 (43.1)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">66 (43.7)</td>
<td valign="middle" align="center">75 (40.5)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Other</td>
<td valign="middle" align="center">9 (2.5)</td>
<td valign="middle" align="center">7 (1.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">6 (2.8)</td>
<td valign="middle" align="center">4 (2.3)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">3 (2.0)</td>
<td valign="middle" align="center">3 (1.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Household type of accommodation</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">0.3</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Fully owned</td>
<td valign="middle" align="center">11 (3.0)</td>
<td valign="middle" align="center">18 (5.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">6 (2.8)</td>
<td valign="middle" align="center">8 (4.6)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">5 (3.3)</td>
<td valign="middle" align="center">10 (5.4)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Being purchased</td>
<td valign="middle" align="center">86 (23.8)</td>
<td valign="middle" align="center">83 (23.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">56 (26.5)</td>
<td valign="middle" align="center">38 (22.0)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">30 (19.9)</td>
<td valign="middle" align="center">45 (24.3)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Rent public</td>
<td valign="middle" align="center">92 (25.4)</td>
<td valign="middle" align="center">92 (25.7)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">49 (23.2)</td>
<td valign="middle" align="center">46 (26.6)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">43 (28.5)</td>
<td valign="middle" align="center">46 (24.9)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Rent private</td>
<td valign="middle" align="center">161 (44.5)</td>
<td valign="middle" align="center">157 (43.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">95 (45.0)</td>
<td valign="middle" align="center">76 (43.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">66 (43.7)</td>
<td valign="middle" align="center">81 (43.8)</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Other</td>
<td valign="middle" align="center">12 (3.3)</td>
<td valign="middle" align="center">8 (2.2)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">5 (2.4)</td>
<td valign="middle" align="center">5 (2.9)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">7 (4.6)</td>
<td valign="middle" align="center">3 (1.6)</td>
</tr>
<tr>
<td valign="middle" align="left">Having housing problems</td>
<td valign="middle" align="center">58 (16.7)</td>
<td valign="middle" align="center">62 (18.0)</td>
<td valign="middle" align="center">4.3</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">35 (17.2)</td>
<td valign="middle" align="center">32 (19.4)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">23 (16.0)</td>
<td valign="middle" align="center">30 (16.8)</td>
</tr>
<tr>
<td valign="middle" align="left">Being threatened with eviction</td>
<td valign="middle" align="center">10 (2.9)</td>
<td valign="middle" align="center">8 (2.3)</td>
<td valign="middle" align="center">4.3</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">6 (3.0)</td>
<td valign="middle" align="center">4 (2.4)</td>
<td valign="middle" align="center"></td>
<td valign="middle" align="center">4 (2.8)</td>
<td valign="middle" align="center">4 (2.2)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>AQoL: Assessment Quality of Life; DASS: Depression, Anxiety, Stress Scale; NHV: Nurse home visiting; SD: Standard Deviation; SEIFA: Socioeconomic Indexes for Areas (national mean of 1000, higher scores indicate greater advantage).</p>
<p><sup>a</sup>Outcome is continuous (mean, SD).</p>
<p><sup>b</sup>3 items assessing mother&#x2019;s self-efficacy, drawn from the UK Millennium Cohort.<sup>36</sup> Each item reflected the presence versus absence of self-efficacy and were used to form a single dichotomous item reflecting &#x2018;any lack of self-efficacy&#x2019; versus &#x2018;no lack of self-efficacy&#x2019;.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>Comparison of right@home participants with the state-wide population</title>
<p><xref ref-type="table" rid="table-2">Table 2</xref> shows that the usual care cohort (Victorian SEHQ) experienced at least 2.5 times the proportions of parent divorce/separation, serious illness of parent, and parent change of job than the state population, and 3&#x2013;4 times the proportions of historical adversities including parent substance use or mental illness, parent or child abuse, and other family violence.</p>
<table-wrap id="table-2">
<label>Table 2: Proportions children experiencing family issues and stressors (Victoria), state-wide in 2020, and for the right@home Usual Care group, using multiply imputed data</label>
<table frame="hsides" rules="groups">
<col width="60%"/>
<col width="20%"/>
<col width="20%"/>
<tbody>
<tr>
<td rowspan="2" valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Victoria school entrant health Questionnaire (SEHQ) family issues and stressors</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>2020 State-wide comparison</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>right@home usual care group</bold></td>
</tr>
<tr>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>% (n/53,967)<sup>a</sup></bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Estimated % (n/241)</bold></td>
</tr>
<tr>
<td colspan="3" valign="middle" align="left">Child affected by:</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;divorce/separated parents</td>
<td valign="middle" align="center">4.2</td>
<td valign="middle" align="center">25.4</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;death of relative/friend</td>
<td valign="middle" align="center">6.9</td>
<td valign="middle" align="center">18.4</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;remarriage of parent</td>
<td valign="middle" align="center">1.5</td>
<td valign="middle" align="center">12.3</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;serious illness of parent</td>
<td valign="middle" align="center">2.5</td>
<td valign="middle" align="center">10.5</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;serious illness of sibling</td>
<td valign="middle" align="center">1.1</td>
<td valign="middle" align="center">13.2</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;parent change of job</td>
<td valign="middle" align="center">4.1</td>
<td valign="middle" align="center">17.5</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;parent loss of job</td>
<td valign="middle" align="center">1.7</td>
<td valign="middle" align="center">10.5</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;move to new house</td>
<td valign="middle" align="center">6.4</td>
<td valign="middle" align="center">16.7</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;new baby in home</td>
<td valign="middle" align="center">3.8</td>
<td valign="middle" align="center">15.8</td>
</tr>
<tr>
<td colspan="3" valign="middle" align="left">History of:</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;alcohol or drug related problems in family</td>
<td valign="middle" align="center">3.6</td>
<td valign="middle" align="center">16.7</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;abuse to parent</td>
<td valign="middle" align="center">5.4</td>
<td valign="middle" align="center">23.7</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;abuse to child</td>
<td valign="middle" align="center">1.9</td>
<td valign="middle" align="center">12.3</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;child witnessing violence</td>
<td valign="middle" align="center">3.5</td>
<td valign="middle" align="center">19.3</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;gambling problem in the family</td>
<td valign="middle" align="center">0.6</td>
<td valign="middle" align="center">8.8</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;mental illness of parent</td>
<td valign="middle" align="center">8.8</td>
<td valign="middle" align="center">25.4</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><sup>a</sup>n for rows not published for state-wide data.</p>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="table-3">Table 3</xref> shows that children in the right@home usual care cohort (Tasmanian KDC) were half as likely to have achieved 20 of the 21 KDC items in kindergarten and one-third as likely to have achieved all 21. Table 4 shows that the right@home usual care cohort (Victorian SEHQ) were approximately 1.5 times more likely to have difficulty putting words together, a voice that sounded unusual, or a stutter or stammer, compared with the state-wide proportions, but otherwise had similar proportions for being unclear or any speech or language difficulties. Except for the SDQ prosocial subscale, the proportions of moderate or high problems for the right@home cohort (Victorian SEHQ) were higher for the SDQ scores, notably for the emotional, hyperactivity and prosocial subscales, which were two-to-three times those of the state.</p>
<table-wrap id="table-3">
<label>Table 3: Proportions for the state and the right@home trial groups (Tasmania), and adjusted regression analyses comparing the two trial groups on child outcomes, using inverse probability weighted data</label>
<table frame="hsides" rules="groups">
<col width="18%"/>
<col width="12%"/>
<col width="11%"/>
<col width="12%"/>
<col width="11%"/>
<col width="12%"/>
<col width="12%"/>
<col width="10%"/>
<tbody>
<tr>
<td rowspan="3" valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Tasmanian kindergarten development check (KDC) items (age 4 years)<sup>a</sup></bold></td>
<td colspan="3" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Descriptive statistics</bold></td>
<td colspan="4" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Adjusted odds ratio comparing the intervention with the usual care group</bold></td>
</tr>
<tr>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>State-wide comparison</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Usual care</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>r@h NHV intervention</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Odds ratio</bold></td>
<td colspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>95% Confidence interval</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>p-value</bold></td>
</tr>
<tr>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Lower</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Upper</bold></td>
</tr>
<tr>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>%<sup>b</sup> (2020)</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>n/118 (%)</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>n/119 (%)</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
</tr>
<tr>
<td valign="middle" align="left">Achieved 20 indicators</td>
<td valign="middle" align="center">75.9%</td>
<td valign="middle" align="center">21 (36.8)</td>
<td valign="middle" align="center">41 (54.7)</td>
<td valign="middle" align="center">2.32</td>
<td valign="middle" align="center">1.11</td>
<td valign="middle" align="center">4.87</td>
<td valign="middle" align="center">0.03</td>
</tr>
<tr>
<td valign="middle" align="left">Achieved all 21 indicators</td>
<td valign="middle" align="center">60.7%</td>
<td valign="middle" align="center">12 (21.1)</td>
<td valign="middle" align="center">27 (36.0)</td>
<td valign="middle" align="center">2.48</td>
<td valign="middle" align="center">0.97</td>
<td valign="middle" align="center">6.34</td>
<td valign="middle" align="center">0.06</td>
</tr>
<tr>
<td colspan="8" valign="middle" align="left">Achieved all indicators in each domain:</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Speech, language, listening and speaking</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">28 (49.1)</td>
<td valign="middle" align="center">46 (61.3)</td>
<td valign="middle" align="center">1.52</td>
<td valign="middle" align="center">0.55</td>
<td valign="middle" align="center">4.18</td>
<td valign="middle" align="center">0.42</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Cognitive development</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">21 (36.8)</td>
<td valign="middle" align="center">46 (61.3)</td>
<td valign="middle" align="center">3.30</td>
<td valign="middle" align="center">1.31</td>
<td valign="middle" align="center">8.34</td>
<td valign="middle" align="center">0.01</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Personal and social behavior</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">44 (75.9)</td>
<td valign="middle" align="center">58 (77.3)</td>
<td valign="middle" align="center">1.48</td>
<td valign="middle" align="center">0.48</td>
<td valign="middle" align="center">4.52</td>
<td valign="middle" align="center">0.50</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Gross motor</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">25 (43.1)</td>
<td valign="middle" align="center">45 (60.0)</td>
<td valign="middle" align="center">2.33</td>
<td valign="middle" align="center">1.13</td>
<td valign="middle" align="center">4.84</td>
<td valign="middle" align="center">0.02</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Fine motor</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">46 (79.3)</td>
<td valign="middle" align="center">68 (90.7)</td>
<td valign="middle" align="center">3.58</td>
<td valign="middle" align="center">0.76</td>
<td valign="middle" align="center">16.79</td>
<td valign="middle" align="center">0.11</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>n/a: state-wide data not available. Summary statistics exclude missing data. Inverse probability weighting was used to address missing data for the Tasmanian cohort. Models were adjusted for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage, maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. Maternal language other than English was also included for child language outcomes. All regression analyses accounted for effects of nurse clustering using robust estimation.</p>
<p><sup>a</sup>Child scored &#x2018;yes&#x2019; (achieving) to all items in Tasmanian Kindergarten Development Check (KDC) domain items.</p>
<p><sup>b</sup>Denominator and numerator not available. Note, the 2020 KDC outcome was impacted by COVID-19, as only one assessment was conducted. As a result, comparisons with 2021 and previous years should be exercised with caution. In 2019, 67.8% of the measured cohort achieved all 21 indicators.</p>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="table-5">Table 5</xref> shows that, compared with the state, more children in the right@home usual care cohort (Victorian SEHQ) were diagnosed with asthma, and visited maternal and child health nurses, an optometrist, speech pathologist or early learning center. Proportions for allergy diagnoses and other health service use were similar.</p>
<table-wrap id="table-4">
<label>Table 4: Proportions for the state and the right@home trial groups (Victoria), and adjusted regression analyses comparing the two trial groups on child outcomes, using multiply imputed and inverse probability weighted data</label>
<table frame="hsides" rules="groups">
<col width="18%"/>
<col width="12%"/>
<col width="11%"/>
<col width="12%"/>
<col width="11%"/>
<col width="12%"/>
<col width="12%"/>
<col width="10%"/>
<tbody>
<tr>
<td rowspan="3" valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Victoria school entrant Health questionnaire (SEHQ) (age 5-6 years)</bold></td>
<td colspan="3" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Descriptive statistics</bold></td>
<td colspan="4" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Adjusted odds ratio comparing the intervention with the usual care group</bold></td>
</tr>
<tr>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>State-wide comparison</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Usual Care</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>r@h NHV Intervention</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Odds ratio</bold></td>
<td colspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>95% Confidence interval</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>p-value</bold></td>
</tr>
<tr>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Lower</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Upper</bold></td>
</tr>
<tr>
<td valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Speech and language</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>n/53,967 (%)</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Estimated %</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Estimated %</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
</tr>
<tr>
<td valign="middle" align="left">Child has difficulties with speech or language (any)</td>
<td valign="middle" align="center">8,645 (16.0)</td>
<td valign="middle" align="center">17.5</td>
<td valign="middle" align="center">22.6</td>
<td valign="middle" align="center">1.71</td>
<td valign="middle" align="center">1.15</td>
<td valign="middle" align="center">2.55</td>
<td valign="middle" align="center">0.01</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;unclear to others</td>
<td valign="middle" align="center">6,495 (12.0)</td>
<td valign="middle" align="center">12.3</td>
<td valign="middle" align="center">19.7</td>
<td valign="middle" align="center">2.18</td>
<td valign="middle" align="center">1.39</td>
<td valign="middle" align="center">3.45</td>
<td valign="middle" align="center">0.00</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;difficulty putting words together</td>
<td valign="middle" align="center">3,271 (6.1)</td>
<td valign="middle" align="center">9.6</td>
<td valign="middle" align="center">6.6</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.45</td>
<td valign="middle" align="center">1.50</td>
<td valign="middle" align="center">0.52</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;voice sounds unusual</td>
<td valign="middle" align="center">1,273 (2.4)</td>
<td valign="middle" align="center">4.4</td>
<td valign="middle" align="center">2.2</td>
<td valign="middle" align="center">0.58</td>
<td valign="middle" align="center">0.16</td>
<td valign="middle" align="center">2.03</td>
<td valign="middle" align="center">0.39</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;stutters or stammers</td>
<td valign="middle" align="center">2,246 (4.2)</td>
<td valign="middle" align="center">7.9</td>
<td valign="middle" align="center">7.3</td>
<td valign="middle" align="center">0.92</td>
<td valign="middle" align="center">0.54</td>
<td valign="middle" align="center">1.58</td>
<td valign="middle" align="center">0.77</td>
</tr>
<tr>
<td colspan="8" valign="middle" align="left">Behavior and emotional wellbeing</td>
</tr>
<tr>
<td valign="middle" align="left">SDQ Total difficulties: moderate or high risk</td>
<td valign="middle" align="center">11,969 (22.2)</td>
<td valign="middle" align="center">26.3</td>
<td valign="middle" align="center">29.2</td>
<td valign="middle" align="center">1.10</td>
<td valign="middle" align="center">0.72</td>
<td valign="middle" align="center">1.67</td>
<td valign="middle" align="center">0.66</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;SDQ Emotional problems: moderate or high risk</td>
<td valign="middle" align="center">7,144 (13.2)</td>
<td valign="middle" align="center">43.9</td>
<td valign="middle" align="center">38.7</td>
<td valign="middle" align="center">0.82</td>
<td valign="middle" align="center">0.44</td>
<td valign="middle" align="center">1.51</td>
<td valign="middle" align="center">0.52</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;SDQ Conduct problems: moderate or high risk</td>
<td valign="middle" align="center">11,969 (22.2)</td>
<td valign="middle" align="center">27.2</td>
<td valign="middle" align="center">28.5</td>
<td valign="middle" align="center">1.01</td>
<td valign="middle" align="center">0.59</td>
<td valign="middle" align="center">1.74</td>
<td valign="middle" align="center">0.98</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;SDQ Hyperactivity: moderate or high risk</td>
<td valign="middle" align="center">7,951 (14.7)</td>
<td valign="middle" align="center">31.6</td>
<td valign="middle" align="center">32.8</td>
<td valign="middle" align="center">1.16</td>
<td valign="middle" align="center">0.79</td>
<td valign="middle" align="center">1.70</td>
<td valign="middle" align="center">0.44</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;SDQ Peer problems: moderate or high risk</td>
<td valign="middle" align="center">9,848 (18.2)</td>
<td valign="middle" align="center">15.8</td>
<td valign="middle" align="center">14.6</td>
<td valign="middle" align="center">1.02</td>
<td valign="middle" align="center">0.72</td>
<td valign="middle" align="center">1.47</td>
<td valign="middle" align="center">0.90</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;SDQ Prosocial problems: moderate or high risk</td>
<td valign="middle" align="center">4,151 (7.7)</td>
<td valign="middle" align="center">28.9</td>
<td valign="middle" align="center">27.0</td>
<td valign="middle" align="center">0.92</td>
<td valign="middle" align="center">0.51</td>
<td valign="middle" align="center">1.66</td>
<td valign="middle" align="center">0.78</td>
</tr>
<tr>
<td colspan="8" valign="middle" align="left"><bold>Child health and development</bold></td>
</tr>
<tr>
<td colspan="8" valign="middle" align="left">PEDS Parent concerned about child&#x2019;s:</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;oral health</td>
<td valign="middle" align="center">8,754 (16.2)</td>
<td valign="middle" align="center">20.2</td>
<td valign="middle" align="center">20.4</td>
<td valign="middle" align="center">1.03</td>
<td valign="middle" align="center">0.78</td>
<td valign="middle" align="center">1.36</td>
<td valign="middle" align="center">0.84</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;eyesight</td>
<td valign="middle" align="center">4,531 (8.4)</td>
<td valign="middle" align="center">18.4</td>
<td valign="middle" align="center">13.9</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">0.46</td>
<td valign="middle" align="center">1.29</td>
<td valign="middle" align="center">0.32</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;learning, development and behavior</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">49.1</td>
<td valign="middle" align="center">36.5</td>
<td valign="middle" align="center">0.61</td>
<td valign="middle" align="center">0.47</td>
<td valign="middle" align="center">0.80</td>
<td valign="middle" align="center">0.00</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;talking and making speech sounds</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">29.8</td>
<td valign="middle" align="center">27.7</td>
<td valign="middle" align="center">1.06</td>
<td valign="middle" align="center">0.77</td>
<td valign="middle" align="center">1.44</td>
<td valign="middle" align="center">0.73</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;understanding of what parent says</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">10.5</td>
<td valign="middle" align="center">12.4</td>
<td valign="middle" align="center">1.36</td>
<td valign="middle" align="center">0.63</td>
<td valign="middle" align="center">2.92</td>
<td valign="middle" align="center">0.43</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;use of hands and fingers to do things</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">12.3</td>
<td valign="middle" align="center">10.2</td>
<td valign="middle" align="center">0.90</td>
<td valign="middle" align="center">0.47</td>
<td valign="middle" align="center">1.74</td>
<td valign="middle" align="center">0.76</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;use of arms and legs</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">7.0</td>
<td valign="middle" align="center">8.8</td>
<td valign="middle" align="center">1.70</td>
<td valign="middle" align="center">0.59</td>
<td valign="middle" align="center">4.90</td>
<td valign="middle" align="center">0.33</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;behavior</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">28.9</td>
<td valign="middle" align="center">27.0</td>
<td valign="middle" align="center">0.96</td>
<td valign="middle" align="center">0.56</td>
<td valign="middle" align="center">1.66</td>
<td valign="middle" align="center">0.89</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;getting along with others</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">16.7</td>
<td valign="middle" align="center">22.6</td>
<td valign="middle" align="center">2.07</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">4.84</td>
<td valign="middle" align="center">0.09</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;learning to do things for themselves</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">11.4</td>
<td valign="middle" align="center">7.3</td>
<td valign="middle" align="center">0.84</td>
<td valign="middle" align="center">0.42</td>
<td valign="middle" align="center">1.70</td>
<td valign="middle" align="center">0.64</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;learning preschool or school skills</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">14.0</td>
<td valign="middle" align="center">10.9</td>
<td valign="middle" align="center">0.88</td>
<td valign="middle" align="center">0.51</td>
<td valign="middle" align="center">1.50</td>
<td valign="middle" align="center">0.63</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;intellectual disability, development delay or learning disability</td>
<td valign="middle" align="center">n/a</td>
<td valign="middle" align="center">18.4</td>
<td valign="middle" align="center">12.4</td>
<td valign="middle" align="center">0.70</td>
<td valign="middle" align="center">0.33</td>
<td valign="middle" align="center">1.46</td>
<td valign="middle" align="center">0.34</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>PEDS: Parental Evaluation of Development Status; r@h NHV: right@home Nurse Home Visiting. SDQ: Strengths and Difficulties Questionnaire. n/a: state-wide data not available. Subscale scoring (SDQ, PEDS) was completed by school nurses and subscale scores were not available for linkage.</p>
<p>Multiple imputation and inverse probability weighting were used to address missing data for the Victorian cohort. Models were adjusted for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage, maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. Maternal language other than English was also included for child language outcomes. All regression analyses accounted for effects of nurse clustering using robust estimation.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap id="table-5">
<label>Table 5: Proportions for the state and the right@home trial groups (Victoria), and adjusted regression analysis comparing the trial groups on child health service use, using multiply imputed and inverse probability weighted data</label>
<table frame="hsides" rules="groups">
<col width="18%"/>
<col width="12%"/>
<col width="11%"/>
<col width="12%"/>
<col width="11%"/>
<col width="12%"/>
<col width="12%"/>
<col width="10%"/>
<tbody>
<tr>
<td rowspan="3" valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Victoria school entrant health questionnaire (SEHQ) (age 5-6 years)</bold></td>
<td colspan="3" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Descriptive statistics</bold></td>
<td colspan="4" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Adjusted odds ratio comparing the intervention with the usual care group</bold></td>
</tr>
<tr>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>State-wide comparison</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Usual care</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>r@h NHV intervention</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Odds ratio</bold></td>
<td colspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>95% Confidence interval</bold></td>
<td rowspan="2" valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>p-value</bold></td>
</tr>
<tr>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Lower</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Upper</bold></td>
</tr>
<tr>
<td valign="middle" align="left" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Speech and language</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>n/53,967 (%)</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Estimated %</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"><bold>Estimated %</bold></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
<td valign="middle" align="center" style="border-top: solid 1pt; border-bottom: solid 1pt"></td>
</tr>
<tr>
<td valign="middle" align="left">Child diagnosed with asthma</td>
<td valign="middle" align="center">5,502 (10.2)</td>
<td valign="middle" align="center">21.1</td>
<td valign="middle" align="center">23.4</td>
<td valign="middle" align="center">0.96</td>
<td valign="middle" align="center">0.64</td>
<td valign="middle" align="center">1.45</td>
<td valign="middle" align="center">0.84</td>
</tr>
<tr>
<td valign="middle" align="left">Child diagnosed with allergy</td>
<td valign="middle" align="center">4,614 (8.6)</td>
<td valign="middle" align="center">9.6</td>
<td valign="middle" align="center">15.3</td>
<td valign="middle" align="center">2.00</td>
<td valign="middle" align="center">1.08</td>
<td valign="middle" align="center">3.72</td>
<td valign="middle" align="center">0.03</td>
</tr>
<tr>
<td colspan="8" valign="middle" align="left">Child attended:</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;maternal and child health preschool check</td>
<td valign="middle" align="center">38,073 (70.5)</td>
<td valign="middle" align="center">87.7</td>
<td valign="middle" align="center">92.0</td>
<td valign="middle" align="center">1.41</td>
<td valign="middle" align="center">0.99</td>
<td valign="middle" align="center">2.02</td>
<td valign="middle" align="center">0.06</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;early childhood intervention service</td>
<td valign="middle" align="center">2,786 (5.2)</td>
<td valign="middle" align="center">7.0</td>
<td valign="middle" align="center">8.0</td>
<td valign="middle" align="center">1.36</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">2.49</td>
<td valign="middle" align="center">0.31</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;dentist (including orthodontist, periodontist etc)</td>
<td valign="middle" align="center">26,932 (49.9)</td>
<td valign="middle" align="center">47.4</td>
<td valign="middle" align="center">55.5</td>
<td valign="middle" align="center">1.69</td>
<td valign="middle" align="center">1.24</td>
<td valign="middle" align="center">2.30</td>
<td valign="middle" align="center">0.00</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;paediatrician</td>
<td valign="middle" align="center">6,638 (12.3)</td>
<td valign="middle" align="center">14.0</td>
<td valign="middle" align="center">14.6</td>
<td valign="middle" align="center">1.43</td>
<td valign="middle" align="center">0.92</td>
<td valign="middle" align="center">2.22</td>
<td valign="middle" align="center">0.12</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;optometrist/eye doctor</td>
<td valign="middle" align="center">8,753 (16.2)</td>
<td valign="middle" align="center">23.7</td>
<td valign="middle" align="center">24.1</td>
<td valign="middle" align="center">0.91</td>
<td valign="middle" align="center">0.49</td>
<td valign="middle" align="center">1.67</td>
<td valign="middle" align="center">0.76</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;audiologist/hearing specialist</td>
<td valign="middle" align="center">4,113 (7.6)</td>
<td valign="middle" align="center">10.5</td>
<td valign="middle" align="center">12.4</td>
<td valign="middle" align="center">1.24</td>
<td valign="middle" align="center">0.58</td>
<td valign="middle" align="center">2.64</td>
<td valign="middle" align="center">0.58</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;speech pathologist/speech therapist</td>
<td valign="middle" align="center">6,071 (11.2)</td>
<td valign="middle" align="center">16.7</td>
<td valign="middle" align="center">20.4</td>
<td valign="middle" align="center">1.75</td>
<td valign="middle" align="center">1.10</td>
<td valign="middle" align="center">2.79</td>
<td valign="middle" align="center">0.02</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;early learning center or kindergarten</td>
<td valign="middle" align="center">46,788 (86.7)</td>
<td valign="middle" align="center">93.0</td>
<td valign="middle" align="center">91.2</td>
<td valign="middle" align="center">0.75</td>
<td valign="middle" align="center">0.34</td>
<td valign="middle" align="center">1.66</td>
<td valign="middle" align="center">0.47</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Multiple imputation and inverse probability weighting were used to address missing data for the Victorian cohort. Models were adjusted for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage, maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. All regression analyses accounted for effects of nurse clustering using robust estimation.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec>
<title>Effects of the right@home NHV program (Aim 2)</title>
<p><xref ref-type="table" rid="table-3">Table 3</xref> and <xref ref-type="fig" rid="fig-2">Figure 2</xref> present the KDC outcomes for Tasmanian children. The estimated ORs for the five sub-domains indicated that more children in the intervention group had achieved the development milestones than children in the usual care group. The estimated group differences for achieving 20 or 21 of the 21 indicators (OR = 2.32, 95% CI: 1.11 to 4.87; and OR = 2.48, 95% CI: 0.97 to 6.34, respectively) were slightly more precise than most of the sub-domains.</p>
<fig id="fig-2"><label>Figure 2:</label><caption><p>Results of adjusted logistic regression analyses comparing the trial groups on child outcomes (Tasmania), using inverse probability weighted data (from <xref ref-type="table" rid="table-3">Table 3</xref>)</p></caption>
<graphic xlink:href="ijpds-06-2400-g002.tif"/>
<attrib>Inverse probability weighting was used to address missing data for the Tasmanian cohort. Models were adjusted for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage, maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. Maternal language other than English was also included for child language outcomes. All regression analyses accounted for effects of nurse clustering using robust estimation.</attrib>
</fig>
<p><xref ref-type="table" rid="table-4">Table 4</xref> and <xref ref-type="fig" rid="fig-3">Figure 3</xref> present the SEHQ health and development outcomes collected for Victorian children. When considering the ORs and confidence intervals by SEHQ domains collectively, there were no clear group effects. Intervention parents appeared more likely than usual care parents to report that their child was unclear to others (OR = 2.18, 95% CI: 1.39 to 3.45), and therefore that their child had any speech or language difficulty (OR = 1.71, 95% CI: 1.15 to 2.55). However, intervention parents were less likely to report concerns about their child&#x2019;s learning, development or behavior (OR = 0.61, 95% CI: 0.47 to 0.80).</p>
<fig id="fig-3"><label>Figure 3:</label><caption><p>Results of adjusted logistic regression analyses comparing the trial groups on child outcomes (Victoria), using multiply imputed and inverse probability weighted data (from <xref ref-type="table" rid="table-4">Table 4</xref>)</p></caption>
<graphic xlink:href="ijpds-06-2400-g003.tif"/>
<attrib>Multiple imputation and inverse probability weighting were used to address missing data for the Victorian cohort. Models were adjusted for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage, maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. All regression analyses accounted for effects of nurse clustering using robust estimation.</attrib>
</fig>
<p><xref ref-type="table" rid="table-5">Table 5</xref> and <xref ref-type="fig" rid="fig-4">Figure 4</xref> present the health service use outcomes for Victorian children. By school transition, more children in the intervention group had accessed health services than children in the control group. The largest group differences were for obtaining an allergy diagnosis (OR <italic>=</italic> 2.00, 95% CI: 1.08 to 3.72), seeing a maternal and child health nurse for the scheduled 3.5-year-old check (OR = 1.41, 95% CI: 0.99 to 2.02), a dentist (OR = 1.69, 95% CI: 1.24 to 2.30), and a speech pathologist (OR = 1.75, 95% CI: 1.1 to 2.79).</p>
<fig id="fig-4"><label>Figure 4:</label><caption><p>Results of adjusted logistic regression analyses comparing trial groups on health service use outcomes (Victoria), using multiply imputed and inverse probability weighted data (from <xref ref-type="table" rid="table-5">Table 5</xref>)</p></caption>
<graphic xlink:href="ijpds-06-2400-g004.tif"/>
<attrib>Multiple imputation and inverse probability weighting were used to address missing data for the Victorian cohort. Models were adjusted for stratification factors used during randomization (parity, site) and baseline covariates: child gender, family Socio-Economic Index for Areas (SEIFA) score of neighborhood-level disadvantage, maternal age, education antenatal risk count (2 or more of 10 factors), self-efficacy and mental health at baseline. All regression analyses accounted for effects of nurse clustering using robust estimation.</attrib>
</fig>
<p><xref ref-type="supplementary-material" rid="sup-a">Supplementary Table 2</xref> shows that using available case data led to an underestimation of the prevalence of family issues and stressors (<xref ref-type="table" rid="table-2">Table 2</xref>), which is not surprising given that nonresponse is higher in experiencing higher adversity. There were only modest differences in the results between the primary analyses above and the available case analyses (<xref ref-type="supplementary-material" rid="sup-a">Supplementary Tables 3</xref>&#x2013;<xref ref-type="supplementary-material" rid="sup-a">5</xref>), suggesting that the analyses of group differences were not highly sensitive to the assumptions made about the missing data.</p>
</sec>
</sec>
<sec>
<title>Discussion</title>
<p>This study conducted the first evaluation of a NHV trial designed for universal health settings using linked administrative data. Despite the small sample sizes and differences between the two jurisdictions in measures and data collection, some intervention benefits were evident. Compared with children assigned to the usual care group, educators of children assigned to the intervention group reported improved child cognitive and gross motor achievement, using the Tasmanian KDC. While more Victorian intervention parents reported that their children&#x2019;s speech was unclear to others, they were less likely to report concerns about their child&#x2019;s learning, development or behavior and also reported using more early health services, including speech pathology, maternal and child health nurse, and dentist appointments, using the Victorian SEHQ.</p>
<p>Consistent with our study, it is common in the peer reviewed NHV literature for trials to have a mix of intervention benefits and no impacts, and less common for benefits to favor the control [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-36">36</xref>]. In the US, the Department of Health and Human Services is responsible for the Home Visiting Evidence of Effectiveness platform (HomVEE) [<xref ref-type="bibr" rid="ref-37">37</xref>], which reviews the effectiveness of home visiting programs and assigns funding to jurisdictions to implement programs that are deemed effective. The HomVEE criteria for an effective NHV RCT is &#x201C;<italic>statistically significant impacts in two or more of eight outcome domains</italic>&#x201D;, such as child development and school readiness, child or maternal health. Despite the often mixed and modest effects of NHV, the intractable nature of early adversity means NHV is recognized as one of the few effective public health programs for redressing early inequities [<xref ref-type="bibr" rid="ref-8">8</xref>]. HomVEE recognizes right@home (and its core program, MECSH) as an effective model.</p>
<p>In our study, the intervention benefits to child outcomes aligned with our earlier publications of directly-collected data, which found improvements in children&#x2019;s behavior at 5-6 years [<xref ref-type="bibr" rid="ref-16">16</xref>], and learning, reading, and social skills at 6 years [<xref ref-type="bibr" rid="ref-12">12</xref>]. In the current study, more intervention parents reported that their child had language that was unclear to others. It may be that the NHV program increased caregivers&#x2019; awareness of language issues, which increased referrals and associated service use. There was no evidence of intervention group differences according to the SDQ (Victorian SEHQ), whereas we have previously found reductions (improvements) in parent-reported SDQ Total scores at the 5 and 6 year assessments (effect sizes 0.14 and 0.16, respectively) [<xref ref-type="bibr" rid="ref-12">12</xref>, <xref ref-type="bibr" rid="ref-16">16</xref>]. However, within the context of 23 comparisons for SEHQ health and development outcomes, and no consistent direction of effects, these apparent differences might represent chance variation. Unlike earlier waves of maternal interviews, the current study also identified increased use of health services by intervention families, which is a promising secondary benefit from an intervention that ended 2-3 years earlier.</p>
<p>The strengths of this study include the rigorous, real-world, and prospective RCT design, and the comprehensive, longitudinal follow-up. Although loss-to-follow-up increased over time, the sample characteristics appeared balanced between groups and follow-up status. This suggests a lack of response bias using linked administrative data. Furthermore, we applied the best practice methods of using multiple imputation and inverse probability weighting approaches to address missing data. There were also limitations. Twelve percent of the RCT cohort were lost to follow-up during the first postpartum year, before consent for data linkage was sought. Inviting consent at enrolment may have overcome some of or all this loss. In addition, despite having consent for data linkage from 86% of participating families when the KDC and SEHQ were completed, linked data were only available for 53%. While the linked measures broadly related to the school-entry outcomes specified by the right@home program logic, items varied in their validity and interpretability, and jurisdictional differences meant that measures could not be harmonized so analysis of the data across the two states reduced precision. These methodological constraints reinforce a limitation of linked administrative data, which is that the available data are not necessarily the best measures for answering the research question [<xref ref-type="bibr" rid="ref-20">20</xref>]. By way of comparison, earlier waves of direct follow-up with right@home RCT cohort achieved 59% retention at 5 years [<xref ref-type="bibr" rid="ref-16">16</xref>], and 47% at 6 years [<xref ref-type="bibr" rid="ref-12">12</xref>], and used valid and reliable measures that were better suited to measuring program effects [<xref ref-type="bibr" rid="ref-14">14</xref>, <xref ref-type="bibr" rid="ref-21">21</xref>].</p>
<p>Our finding that the usual care group of children experienced high levels of adverse life events and inequitable outcomes by school transition is consistent with a vast body of literature showing that health and development trajectories are driven by social and environmental factors in the first 1000 days [<xref ref-type="bibr" rid="ref-1">1</xref>]. These findings speak to the effectiveness of the initial screening tool administered to identify and recruit women to participate in the program [<xref ref-type="bibr" rid="ref-38">38</xref>, <xref ref-type="bibr" rid="ref-39">39</xref>] and the value of screening for adversity when an effective response may be offered. It is reassuring that, compared with the state-wide data, similar or higher proportions of families in the right@home cohort (Victoria) accessed early health services. However, the timing, dose and quality of the services are unknown and, as they typically also follow the inverse care law, it may be that they were insufficient to meet families&#x2019; increased needs. An additional limitation is that the cohorts represented or missed in the state-wide data summaries are undefined, so calling them state-wide makes assumptions about generalizability. It is likely that adversity and child inequities are under-represented, both in the sub-populations who respond to the SEHQ and KDC, and in how respondents answered the questions [<xref ref-type="bibr" rid="ref-9">9</xref>, <xref ref-type="bibr" rid="ref-20">20</xref>].</p>
<p>Future linked data from Australia&#x2019;s National Assessment Program - Literacy and Numeracy, will provide the final wave of data for the right@home trial and reveal whether intervention impacts are evident on children&#x2019;s academic skills at 8-9 years. The lessons from the current study suggest that there are likely to be limitations to the quality and interpretability of this future data linkage. Understanding any longer-term or larger scale benefits of NHV for high-income countries with universal healthcare will require rigorous evaluations of program rollouts with novel trial designs [<xref ref-type="bibr" rid="ref-40">40</xref>, <xref ref-type="bibr" rid="ref-41">41</xref>]. Despite NHV being common in Australia, almost no programs are evaluated, and most are being implemented without an evidence base. In contrast, right@home has been designed to be embedded within Australia&#x2019;s universal Child and Family Health Services and delivered across a variety of geographical regions, and has demonstrated immediate and sustained benefits to women, children and their families.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Using linked administrative data to evaluate the Australian right@home randomized trial of nurse home visiting (NHV) identified benefits to children&#x2019;s development outcomes and health service use, providing a useful supplement to the existing evidence base. When designed and delivered well, NHV can offer important, long-term protective benefits for families experiencing adversity. Given that so few programs make a difference to childhood inequities, policymakers or state agencies should maximize the reach and impact of programs evidenced to make a difference.</p>
</sec>
<sec sec-type="supplementary-material">
<title>Supplementary Files</title>
<supplementary-material id="sup-a">
<label>Supplementary Appendices</label> 
<media mimetype="application" mime-subtype="pdf" xlink:href="ijpds-06-2400-s001.pdf"/>
</supplementary-material>
</sec>
</body>
<back>
<ack>
<title>Acknowledgements</title>
<p>We thank all families, children, practitioners, and partners who collaborated on the right@home trial. This work was supported by the state governments of Victoria and Tasmania, the Ian Potter Foundation, Sabemo Trust, Sidney Myer fund, the Vincent Fairfax Family Foundation, and the National Health and Medical Research Council (NHMRC, 1079148). Research at the MCRI is supported by the Victorian Government&#x2019;s Operational Infrastructure Support Program. AP was supported by The Erdi Foundation Child Health Equity (COVID-19) scholarship and the Murdoch Children&#x2019;s Research Institute. SG was supported by NHMRC Practitioner Fellowship (1155290). FM was supported by NHMRC Career Development Fellowship (1111160). The MCRI administered the research grant for the study and provided infrastructural support to its staff but played no role in the conduct or analysis of the trial. The funders played no role in the study design; collection, analysis, and interpretation of data; writing the report; or decision to submit the paper for publication.</p>
</ack>
<sec>
<title>Ethics statement</title>
<p>The Royal Children&#x2019;s Hospital Human Research Ethics Committee in Melbourne, Australia, approved right@home (HREC 32296).</p>
</sec>
<sec>
<title>Data availability statement</title>
<p>We invite researchers to request access to study data, including individual participant data and a data dictionary defining each field, from the Melbourne Children&#x2019;s Campus LifeCourse institutional data access platform (<uri>https://lifecourse.melbournechildrens.com/data-access/</uri>) or the governing Royal Children&#x2019;s Hospital HREC (<uri>https://www.rch.org.au/ethics/</uri>). Data will be shared after the necessary approvals (such as approvals from the study representatives, researcher-initiated ethics approval, and data sharing agreements). Related documents, such as the study protocol, statistical analysis plan, informed consent form, can also be available on request.</p>
</sec>
<sec>
<title>Author contributions</title>
<p>Dr Anna Price: conceptualization, methodology, writing &#x2013; original draft, writing &#x2013; review &#x0026; editing, funding acquisition, supervision, project administration</p>
<p>Ms Jiaxin Zhang: validation, formal analysis, data curation, writing - review &#x0026; editing, visualization</p>
<p>Prof Sharon Goldfeld: conceptualization, methodology, funding acquisition, writing- review &#x0026; editing</p>
<p>Prof John Carlin: supervision, validation, data curation, writing - review &#x0026; editing,</p>
<p>Dr Fiona Mensah: conceptualization, methodology, funding acquisition, writing- review &#x0026; editing</p>
<p>Dr Price is guarantor and corresponding author. They accept full responsibility for the work and the conduct of the study, had access to the data, and controlled the decision to publish. They attest that all listed authors meet authorship criteria and that no others meeting the criteria have been omitted.</p>
</sec>
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<glossary>
<title>Abbreviations</title>
<array>
<tbody>
<tr>
<td>CI</td>
<td>confidence intervals</td>
</tr>
<tr>
<td>DASS</td>
<td>Depression Anxiety Stress Scales</td>
</tr>
<tr>
<td>IPW</td>
<td>inverse probability weights</td>
</tr>
<tr>
<td>MI</td>
<td>multiple imputation</td>
</tr>
<tr>
<td>NFP</td>
<td>Nurse Family Partnership</td>
</tr>
<tr>
<td>NHV</td>
<td>nurse home visiting</td>
</tr>
<tr>
<td>OR</td>
<td>odds ratio</td>
</tr>
<tr>
<td>PEDS</td>
<td>Parental Evaluation of Development Status</td>
</tr>
<tr>
<td>RCT</td>
<td>randomized controlled trial</td>
</tr>
<tr>
<td>SDQ</td>
<td>Strengths and Difficulties Questionnaire</td>
</tr>
<tr>
<td>SEIFA</td>
<td>Socio-Economic Index for Areas</td>
</tr>
<tr>
<td>UK</td>
<td>United Kingdom</td>
</tr>
<tr>
<td>US</td>
<td>United States</td>
</tr>
</tbody>
</array>
</glossary>
</back>
</article>