<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.0 20040830//EN" "journalpublishing.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="2.0" xml:lang="en" article-type="letter"><front><journal-meta><journal-id journal-id-type="nlm-ta">J Med Internet Res</journal-id><journal-id journal-id-type="publisher-id">jmir</journal-id><journal-id journal-id-type="index">1</journal-id><journal-title>Journal of Medical Internet Research</journal-title><abbrev-journal-title>J Med Internet Res</abbrev-journal-title><issn pub-type="epub">1438-8871</issn><publisher><publisher-name>JMIR Publications</publisher-name><publisher-loc>Toronto, Canada</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">v28i1e105549</article-id><article-id pub-id-type="doi">10.2196/105549</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Letter</subject></subj-group></article-categories><title-group><article-title>Participant Characteristics Associated With Loneliness Reduction During a Digital Social Robot Intervention Among Older Adults Living Alone in Japan: Secondary Analysis of a Randomized Controlled Trial</article-title></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name name-style="western"><surname>Murayama</surname><given-names>Hiroshi</given-names></name><degrees>MPH, PhD</degrees><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name name-style="western"><surname>Takase</surname><given-names>Mai</given-names></name><degrees>PhD</degrees><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff id="aff1"><institution>Research Team for Social Participation and Healthy Aging, Tokyo Metropolitan Institute for Geriatrics and Gerontology</institution><addr-line>35-2 Sakae-cho, Itabashi-ku</addr-line><addr-line>Tokyo</addr-line><country>Japan</country></aff><contrib-group><contrib contrib-type="editor"><name name-style="western"><surname>Mavragani</surname><given-names>Amaryllis</given-names></name></contrib></contrib-group><contrib-group><contrib contrib-type="reviewer"><name name-style="western"><surname>Pollak</surname><given-names>Chava</given-names></name></contrib><contrib contrib-type="reviewer"><name name-style="western"><surname>Nonaka</surname><given-names>Kumiko</given-names></name></contrib></contrib-group><author-notes><corresp>Correspondence to Hiroshi Murayama, MPH, PhD, Research Team for Social Participation and Healthy Aging, Tokyo Metropolitan Institute for Geriatrics and Gerontology, 35-2 Sakae-cho, Itabashi-ku, Tokyo, 173-0015, Japan, 81 3-3964-3241; <email>murayama@tmig.or.jp</email></corresp></author-notes><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>16</day><month>10</month><year>2026</year></pub-date><volume>28</volume><elocation-id>e105549</elocation-id><history><date date-type="received"><day>25</day><month>06</month><year>2026</year></date><date date-type="rev-recd"><day>26</day><month>08</month><year>2026</year></date><date date-type="accepted"><day>15</day><month>09</month><year>2026</year></date></history><copyright-statement>&#x00A9; Hiroshi Murayama, Mai Takase. Originally published in the Journal of Medical Internet Research (<ext-link ext-link-type="uri" xlink:href="https://www.jmir.org">https://www.jmir.org</ext-link>), 16.10.2026. </copyright-statement><copyright-year>2026</copyright-year><license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (<ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link>), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work, first published in the Journal of Medical Internet Research (ISSN 1438-8871), is properly cited. The complete bibliographic information, a link to the original publication on <ext-link ext-link-type="uri" xlink:href="https://www.jmir.org/">https://www.jmir.org/</ext-link>, as well as this copyright and license information must be included.</p></license><self-uri xlink:type="simple" xlink:href="https://www.jmir.org/2026/1/e105549"/><abstract><p>Among community-dwelling older adults living alone, less frequent preintervention social contact was associated with greater reductions in loneliness during a social robot intervention. Future trials should examine whether preintervention social contact modifies the effects of social robot interventions.</p></abstract><kwd-group><kwd>digital social robots</kwd><kwd>loneliness</kwd><kwd>social isolation</kwd><kwd>social contact</kwd><kwd>older adults living alone</kwd><kwd>secondary analysis</kwd><kwd>randomized controlled trial</kwd></kwd-group></article-meta></front><body><sec id="s1" sec-type="intro"><title>Introduction</title><p>Loneliness is a growing public health concern in aging societies and is associated with higher risks of morbidity and mortality [<xref ref-type="bibr" rid="ref1">1</xref>]. Psychosocial interventions can reduce loneliness [<xref ref-type="bibr" rid="ref2">2</xref>]; among these, information and communication technologies, including social robots, have attracted attention as scalable options [<xref ref-type="bibr" rid="ref3">3</xref>,<xref ref-type="bibr" rid="ref4">4</xref>]. In a previous randomized controlled trial (RCT), we found that a 4-week intervention using an operator-mediated humanoid communication robot that enabled conversations with operators and family members reduced loneliness and improved psychological well-being among community-dwelling older adults living alone in Japan [<xref ref-type="bibr" rid="ref5">5</xref>].</p><p>Notably, previous studies have primarily reported average intervention effects [<xref ref-type="bibr" rid="ref4">4</xref>], which may mask variation in individual responses. Existing subgroup analyses have focused on intervention characteristics [<xref ref-type="bibr" rid="ref2">2</xref>,<xref ref-type="bibr" rid="ref4">4</xref>]. Thus, little is known about which participant characteristics are associated with greater changes in loneliness during social robot interventions. Identifying such characteristics may generate hypotheses for future trials examining how social robot interventions could be better targeted under resource-constrained scenarios.</p><p>In this secondary analysis of our previously published RCT [<xref ref-type="bibr" rid="ref5">5</xref>], we used intervention-phase data to explore which participant characteristics were associated with greater reductions in loneliness during the intervention. We explored which participant characteristics were associated with greater reductions in loneliness during the intervention, hypothesizing that less frequent preintervention social contact would be associated with larger decreases in loneliness.</p></sec><sec id="s2" sec-type="methods"><title>Methods</title><sec id="s2-1"><title>Study Design</title><p>We analyzed data from an RCT of community-dwelling adults aged 65 years or older who lived alone in Tokyo and neighboring areas and reported loneliness. Participants were randomly assigned to immediate (n=36) or delayed (n=37) intervention sequences. The immediate sequence received the intervention during the randomized trial period, whereas the delayed sequence received the same intervention after the initial control period. Two participants in the immediate sequence dropped out (1 declined participation and 1 had a hearing problem), whereas 4 participants in the delayed sequence declined participation, including 1 during the subsequent intervention period. Thus, preintervention and postintervention loneliness data were available for 67 participants (34 immediate and 33 delayed). Data from both sequences were pooled, with intervention sequence included as a covariate. The intervention was a 4-week program using an operator-mediated humanoid robot (BOCCO emo; Yukai Engineering Inc.) (<xref ref-type="fig" rid="figure1">Figure 1</xref>) that provided around-the-clock personalized voice communication. Details of the design can be found elsewhere [<xref ref-type="bibr" rid="ref5">5</xref>].</p><fig position="float" id="figure1"><label>Figure 1.</label><caption><p>Representative images of BOCCO emo.</p></caption><graphic alt-version="no" mimetype="image" position="float" xlink:type="simple" xlink:href="jmir_v28i1e105549_fig01.png"/></fig><p>The outcome was the difference in the 20-item UCLA Loneliness Scale (version 3 [<xref ref-type="bibr" rid="ref6">6</xref>,<xref ref-type="bibr" rid="ref7">7</xref>]; range 20&#x2010;80) before and after the intervention, with negative values indicating decreased loneliness. We entered preintervention social contact and loneliness, together with sex, age, marital status, education, subjective financial stability, self-rated health, long-term care certification, and intervention sequence (immediate or delayed), into a single regression model. Frequency of social contact was assessed using 4 items pertaining to face-to-face and remote contact with noncohabiting family members or relatives and with friends or neighbors. The scores were summed and classified as 0 (&#x2265;4 times/week), 1 (1&#x2010;3 times/week), or 2 (&#x003C;1 time/week). Preintervention loneliness was dichotomized at the median for the analysis. We fitted multiple linear regression models without (model 1) and with (model 2) an interaction term between social contact and loneliness using IBM SPSS Statistics 29.0 (IBM Corp).</p></sec><sec id="s2-2"><title>Ethical Considerations</title><p>This study was approved by the Ethics Committee of the Tokyo Metropolitan Institute for Geriatrics and Gerontology (R22-009) and was registered with the UMIN Clinical Trials Registry (UMIN000050644). All participants provided written informed consent. Participants received no financial or other compensation for participation.</p></sec></sec><sec id="s3" sec-type="results"><title>Results</title><p>Of the 67 participants, 94% (n=64) were female, and the mean age was 82.3 (SD 6.5) years. Loneliness decreased by a mean of 2.6 (SD 6.4, range &#x2212;18 to 13) points.</p><p><xref ref-type="table" rid="table1">Table 1</xref> presents the factors related to improvements in loneliness. In model 1, less frequent social contact was associated with a greater reduction in loneliness (b &#x2212;2.14 per category toward less frequent contact, 95% CI &#x2212;4.31 to &#x2212;0.04), as was high preintervention loneliness (b &#x2212;2.52, 95% CI &#x2212;5.11 to &#x2212;0.07). Participants assigned to the immediate sequence exhibited less improvement than those assigned to the delayed sequence (b 3.16, 95% CI 0.47-5.86). No other characteristic was associated with changes in loneliness. In model 2, the interaction between less frequent social contact and high loneliness was not statistically significant (b &#x2013;0.02, 95% CI &#x2013;5.30 to 5.25).</p><table-wrap id="t1" position="float"><label>Table 1.</label><caption><p>Characteristics associated with loneliness improvement following the social robot intervention.</p></caption><table id="table1" frame="hsides" rules="groups"><thead><tr><td align="left" valign="bottom">Characteristics</td><td align="left" valign="bottom">Category</td><td align="left" valign="bottom" colspan="2">Model 1</td><td align="left" valign="bottom" colspan="2">Model 2</td></tr><tr><td align="left" valign="bottom"/><td align="left" valign="bottom"/><td align="left" valign="bottom">b (95% CI)</td><td align="left" valign="bottom"><italic>P</italic> value</td><td align="left" valign="bottom">b (95% CI)</td><td align="left" valign="bottom"><italic>P</italic> value</td></tr></thead><tbody><tr><td align="left" valign="top">Intervention sequence (Ref: delayed)</td><td align="left" valign="top">Immediate</td><td align="left" valign="top">3.16 (0.47 to 5.86)</td><td align="left" valign="top">.02</td><td align="left" valign="top">3.16 (0.44 to 5.89)</td><td align="left" valign="top">.02</td></tr><tr><td align="left" valign="top">Sex (Ref: male)</td><td align="left" valign="top">Female</td><td align="left" valign="top">&#x2212;2.05 (&#x2212;7.92 to 3.83)</td><td align="left" valign="top">.48</td><td align="left" valign="top">&#x2212;2.04 (&#x2212;8.09 to 4.00)</td><td align="left" valign="top">.50</td></tr><tr><td align="left" valign="top">Age</td><td align="left" valign="top">(Older)</td><td align="left" valign="top">&#x2212;0.02 (&#x2212;0.22 to 0.18)</td><td align="left" valign="top">.82</td><td align="left" valign="top">&#x2212;0.02 (&#x2212;0.23 to 0.18)</td><td align="left" valign="top">.82</td></tr><tr><td align="left" valign="top">Marital status (Ref: unmarried)</td><td align="left" valign="top">Married</td><td align="left" valign="top">&#x2212;0.40 (&#x2212;5.68 to 4.88)</td><td align="left" valign="top">.88</td><td align="left" valign="top">&#x2212;0.40 (&#x2212;5.73 to 4.94)</td><td align="left" valign="top">.88</td></tr><tr><td align="left" valign="top">Educational level</td><td align="left" valign="top">(Lower)</td><td align="left" valign="top">&#x2212;0.76 (&#x2212;2.12 to 0.61)</td><td align="left" valign="top">.27</td><td align="left" valign="top">&#x2212;0.76 (&#x2212;2.14 to 0.62)</td><td align="left" valign="top">.28</td></tr><tr><td align="left" valign="top">Subjective financial stability</td><td align="left" valign="top">(Poorer)</td><td align="left" valign="top">1.35 (&#x2212;0.51 to 3.22)</td><td align="left" valign="top">.15</td><td align="left" valign="top">1.36 (&#x2212;0.55 to 3.26)</td><td align="left" valign="top">.16</td></tr><tr><td align="left" valign="top">Self-rated health</td><td align="left" valign="top">(Poorer)</td><td align="left" valign="top">0.34 (&#x2212;1.23 to 1.92)</td><td align="left" valign="top">.67</td><td align="left" valign="top">0.34 (&#x2212;1.26 to 1.94)</td><td align="left" valign="top">.67</td></tr><tr><td align="left" valign="top">Long-term care certification</td><td align="left" valign="top">Certified</td><td align="left" valign="top">0.23 (&#x2212;2.44 to 2.90)</td><td align="left" valign="top">.86</td><td align="left" valign="top">0.23 (&#x2212;2.50 to 2.95)</td><td align="left" valign="top">.87</td></tr><tr><td align="left" valign="top">Preintervention frequency of social contact</td><td align="left" valign="top">(Less frequent)</td><td align="left" valign="top">&#x2212;2.14 (&#x2212;4.31 to &#x2212;0.04)</td><td align="left" valign="top">.04</td><td align="left" valign="top">&#x2212;2.13 (&#x2212;4.81 to 0.56)</td><td align="left" valign="top">.12</td></tr><tr><td align="left" valign="top">Preintervention loneliness (Ref: low [below median])</td><td align="left" valign="top">High (above median)</td><td align="left" valign="top">&#x2212;2.52 (&#x2212;5.11 to &#x2212;0.07)</td><td align="left" valign="top">.04</td><td align="left" valign="top">&#x2212;2.52 (&#x2212;5.47 to 0.44)</td><td align="left" valign="top">.09</td></tr><tr><td align="left" valign="top">Preintervention frequency of social contact&#x00D7;preintervention loneliness</td><td align="left" valign="top">&#x2014;<sup><xref ref-type="table-fn" rid="table1fn1">a</xref></sup></td><td align="left" valign="top">&#x2014;</td><td align="left" valign="top">&#x2014;</td><td align="left" valign="top">&#x2212;0.02 (&#x2212;5.30 to 5.25)</td><td align="left" valign="top">.99</td></tr></tbody></table><table-wrap-foot><fn id="table1fn1"><p><sup>a</sup>Not applicable.</p></fn></table-wrap-foot></table-wrap></sec><sec id="s4" sec-type="discussion"><title>Discussion</title><p>To our knowledge, this is the first study to examine which participant characteristics were associated with greater reductions in loneliness during a social robot intervention. In model 1, less frequent social contact and higher loneliness before the intervention were each associated with greater reductions in loneliness. The association with less frequent social contact may reflect greater unmet needs for interaction and conversation among participants with little social contact. Social isolation and subjective loneliness are related but distinct [<xref ref-type="bibr" rid="ref8">8</xref>], and the interaction between them was not statistically significant, although the wide CI renders this finding inconclusive.</p><p>Likewise, higher preintervention loneliness was associated with greater reductions in loneliness. This finding should be interpreted with caution. As preintervention loneliness was both a predictor in the model and the initial value used to calculate the change-score outcome, the observed association may partly reflect regression to the mean [<xref ref-type="bibr" rid="ref9">9</xref>] and mathematical coupling between preintervention loneliness and the change score. We also pooled the intervention-phase data rather than comparing the on-robot and off-robot periods for the same person; therefore, we cannot attribute this association to the robot. Accordingly, the association with preintervention loneliness should be regarded as exploratory.</p><p>Overall, these findings should be viewed as hypothesis-generating rather than as evidence of differential treatment benefit. In particular, preintervention social contact warrants testing as a potential effect modifier in future trials.</p><p>This study has several limitations. The sample was small, predominantly female, very old, drawn from 1 region, and restricted to individuals who reported loneliness; therefore, the findings may not be generalizable. Moreover, the analysis was exploratory, included multiple predictors, and was not corrected for multiple testing. It identified characteristics associated with loneliness reduction rather than treatment-effect modification. The small sample also limited the power to detect an interaction between preintervention social contact and preintervention loneliness. The smaller reduction observed in the immediate sequence remains difficult to explain but may reflect period-related or other contextual differences because the intervention phases occurred during different study periods for the 2 sequences.</p><p>In conclusion, less frequent preintervention social contact was associated with greater reductions in loneliness during the social robot intervention. The association with higher preintervention loneliness should be interpreted cautiously. Future trials should examine whether social contact modifies treatment effects.</p></sec></body><back><ack><p>During the preparation of this manuscript, the authors used ChatGPT (OpenAI) and Claude (Anthropic) to assist with language editing and improve the clarity and readability of the text. The authors reviewed and revised all AI-assisted content and take full responsibility for the final manuscript. Generative AI was not used for data analysis or to create or modify <xref ref-type="fig" rid="figure1">Figure 1</xref>.</p></ack><notes><sec><title>Funding</title><p>This study was supported by SECOM Co., Ltd.</p></sec><sec><title>Data Availability</title><p>The datasets analyzed in this study are available from the corresponding author upon reasonable request.</p></sec></notes><fn-group><fn fn-type="con"><p>Conceptualization: HM, MT</p><p>Formal analysis: HM</p><p>Investigation: HM, MT</p><p>Methodology: HM, MT</p><p>Writing &#x2013; original draft: HM</p><p>Writing &#x2013; review &#x0026; editing: MT</p><p>All authors approved the final version for submission.</p></fn><fn fn-type="conflict"><p>HM received funding from SECOM Co., Ltd. MT declares no conflict of interest. The company provided funding and participated in data collection; however, it had no role in the study design, data analysis, result interpretation, manuscript preparation, or decision to publish the findings.</p></fn></fn-group><glossary><title>Abbreviations</title><def-list><def-item><term id="abb1">RCT</term><def><p>randomized controlled trial</p></def></def-item></def-list></glossary><ref-list><title>References</title><ref id="ref1"><label>1</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Holt-Lunstad</surname><given-names>J</given-names> </name><name name-style="western"><surname>Smith</surname><given-names>TB</given-names> </name><name name-style="western"><surname>Baker</surname><given-names>M</given-names> </name><name name-style="western"><surname>Harris</surname><given-names>T</given-names> </name><name name-style="western"><surname>Stephenson</surname><given-names>D</given-names> </name></person-group><article-title>Loneliness and social isolation as risk factors for mortality: a meta-analytic review</article-title><source>Perspect Psychol Sci</source><year>2015</year><month>03</month><volume>10</volume><issue>2</issue><fpage>227</fpage><lpage>237</lpage><pub-id pub-id-type="doi">10.1177/1745691614568352</pub-id><pub-id pub-id-type="medline">25910392</pub-id></nlm-citation></ref><ref id="ref2"><label>2</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Masi</surname><given-names>CM</given-names> </name><name name-style="western"><surname>Chen</surname><given-names>HY</given-names> </name><name name-style="western"><surname>Hawkley</surname><given-names>LC</given-names> </name><name name-style="western"><surname>Cacioppo</surname><given-names>JT</given-names> </name></person-group><article-title>A meta-analysis of interventions to reduce loneliness</article-title><source>Pers Soc Psychol Rev</source><year>2011</year><month>08</month><volume>15</volume><issue>3</issue><fpage>219</fpage><lpage>266</lpage><pub-id pub-id-type="doi">10.1177/1088868310377394</pub-id><pub-id pub-id-type="medline">20716644</pub-id></nlm-citation></ref><ref id="ref3"><label>3</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>D&#x00F6;ring</surname><given-names>N</given-names> </name><name name-style="western"><surname>Conde</surname><given-names>M</given-names> </name><name name-style="western"><surname>Brandenburg</surname><given-names>K</given-names> </name><etal/></person-group><article-title>Can communication technologies reduce loneliness and social isolation in older people? a scoping review of reviews</article-title><source>Int J Environ Res Public Health</source><year>2022</year><month>09</month><day>8</day><volume>19</volume><issue>18</issue><fpage>11310</fpage><pub-id pub-id-type="doi">10.3390/ijerph191811310</pub-id><pub-id pub-id-type="medline">36141581</pub-id></nlm-citation></ref><ref id="ref4"><label>4</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Yen</surname><given-names>HY</given-names> </name><name name-style="western"><surname>Huang</surname><given-names>CW</given-names> </name><name name-style="western"><surname>Chiu</surname><given-names>HL</given-names> </name><name name-style="western"><surname>Jin</surname><given-names>G</given-names> </name></person-group><article-title>The effect of social robots on depression and loneliness for older residents in long-term care facilities: a meta-analysis of randomized controlled trials</article-title><source>J Am Med Dir Assoc</source><year>2024</year><month>06</month><volume>25</volume><issue>6</issue><fpage>104979</fpage><pub-id pub-id-type="doi">10.1016/j.jamda.2024.02.017</pub-id><pub-id pub-id-type="medline">38614134</pub-id></nlm-citation></ref><ref id="ref5"><label>5</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Murayama</surname><given-names>H</given-names> </name><name name-style="western"><surname>Takase</surname><given-names>M</given-names> </name></person-group><article-title>Evaluating the effectiveness of digital social robots in reducing loneliness among community-dwelling older adults in Japan: randomized controlled trial and qualitative analysis</article-title><source>JMIR Aging</source><year>2025</year><month>10</month><day>22</day><volume>8</volume><fpage>e74422</fpage><pub-id pub-id-type="doi">10.2196/74422</pub-id><pub-id pub-id-type="medline">41124645</pub-id></nlm-citation></ref><ref id="ref6"><label>6</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Russell</surname><given-names>DW</given-names> </name></person-group><article-title>UCLA Loneliness Scale (Version 3): reliability, validity, and factor structure</article-title><source>J Pers Assess</source><year>1996</year><month>02</month><volume>66</volume><issue>1</issue><fpage>20</fpage><lpage>40</lpage><pub-id pub-id-type="doi">10.1207/s15327752jpa6601_2</pub-id><pub-id pub-id-type="medline">8576833</pub-id></nlm-citation></ref><ref id="ref7"><label>7</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Masuda</surname><given-names>Y</given-names> </name><name name-style="western"><surname>Tadaka</surname><given-names>E</given-names> </name><name name-style="western"><surname>Dai</surname><given-names>Y</given-names> </name></person-group><article-title>Reliability and validity of the Japanese version of the UCLA Loneliness Scale Version 3 among the older population [Article in Japanese]</article-title><source>J Jpn Acad Com Health Nurs</source><year>2012</year><volume>15</volume><issue>1</issue><fpage>25</fpage><lpage>32</lpage><pub-id pub-id-type="doi">10.20746/jachn.15.1_25</pub-id></nlm-citation></ref><ref id="ref8"><label>8</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Hawkley</surname><given-names>LC</given-names> </name><name name-style="western"><surname>Cacioppo</surname><given-names>JT</given-names> </name></person-group><article-title>Loneliness matters: a theoretical and empirical review of consequences and mechanisms</article-title><source>Ann Behav Med</source><year>2010</year><month>10</month><volume>40</volume><issue>2</issue><fpage>218</fpage><lpage>227</lpage><pub-id pub-id-type="doi">10.1007/s12160-010-9210-8</pub-id><pub-id pub-id-type="medline">20652462</pub-id></nlm-citation></ref><ref id="ref9"><label>9</label><nlm-citation citation-type="journal"><person-group person-group-type="author"><name name-style="western"><surname>Barnett</surname><given-names>AG</given-names> </name><name name-style="western"><surname>van der Pols</surname><given-names>JC</given-names> </name><name name-style="western"><surname>Dobson</surname><given-names>AJ</given-names> </name></person-group><article-title>Regression to the mean: what it is and how to deal with it</article-title><source>Int J Epidemiol</source><year>2005</year><month>02</month><volume>34</volume><issue>1</issue><fpage>215</fpage><lpage>220</lpage><pub-id pub-id-type="doi">10.1093/ije/dyh299</pub-id><pub-id pub-id-type="medline">15333621</pub-id></nlm-citation></ref></ref-list></back></article>