Brief Report: Longitudinal Trajectory of Working Memory in School-Aged Children on the Autism Spectrum: Period of High Plasticity and 'Late Bloomers'
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| Title: | Brief Report: Longitudinal Trajectory of Working Memory in School-Aged Children on the Autism Spectrum: Period of High Plasticity and 'Late Bloomers' |
|---|---|
| Language: | English |
| Authors: | Sohyun An Kim (ORCID |
| Source: | Journal of Autism and Developmental Disorders. 2025 55(4):1537-1546. |
| Availability: | Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/ |
| Peer Reviewed: | Y |
| Page Count: | 10 |
| Publication Date: | 2025 |
| Sponsoring Agency: | Health Resources and Services Administration (HRSA) (DHHS) |
| Contract Number: | UT3MC39436 |
| Document Type: | Journal Articles Reports - Research |
| Education Level: | Elementary Education |
| Descriptors: | Elementary School Students, Autism Spectrum Disorders, Students with Disabilities, Student Development, Developmental Delays, Cognitive Development, Short Term Memory, Growth Models, Resilience (Psychology), Achievement Gains, Achievement Gap, Early Intervention, Progress Monitoring, Age Differences, Developmental Stages |
| DOI: | 10.1007/s10803-023-05960-5 |
| ISSN: | 0162-3257 1573-3432 |
| Abstract: | While working memory (WM) is a powerful predictor for children's school outcomes, autistic children are more likely to experience delays. This study compared autistic children and their neurotypical peers' WM development over their elementary school years, including relative growth and period of plasticity. Using a nationally-representative dataset, latent growth models were built to examine periods of high plasticity and the relationship between children's performance upon school entry and their relative growth. While both groups made steeper gains during the early school years, autistic children's period of highest plasticity was prolonged by 1 year, which suggests a larger window for interventions. Further, autistic children who started kindergarten with poorer WM were more likely to make rapid growth during the last 3 years of elementary school, which is when their neurotypical peers' development started to plateau. Findings should prompt various stakeholders to examine interventions and instructions to maximize autistic children's growth in WM. Further, the continued support and monitoring by educators throughout autistic children's late childhood can be particularly beneficial for the "late-bloomers." |
| Abstractor: | As Provided |
| Entry Date: | 2025 |
| Accession Number: | EJ1464231 |
| Database: | ERIC |
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| FullText | Links: – Type: pdflink Url: https://content.ebscohost.com/cds/retrieve?content=AQICAHj0k_4E0hTGH8RJwT4gCJyBsGNe_WN95AvKlDbXJGqwxwGd1dHVzlPq8xkrGL6m7QO3AAAA4jCB3wYJKoZIhvcNAQcGoIHRMIHOAgEAMIHIBgkqhkiG9w0BBwEwHgYJYIZIAWUDBAEuMBEEDCXyFcuQRMRPB1T-zQIBEICBmlDXRhH-RwPSK6GQXlUGNDxFbTct5yq21w_ComDVLq1k3cYBe1nPSkW7KuEGoGz5dEupROD5dDLdLAD_uPGHZSHO2jEAS98uybTsOFCiGSB7dPxjwzWJJu7zmF3wiQ0LErCkGybhVc6aBmzknbHi_ziYVI8MxZVmyHUo0_NWXnToLV8ailjkumfGwr57fQBp-BXYQCpaZj_47kw= Text: Availability: 1 Value: <anid>AN0183973019;aut01apr.25;2025Mar26.05:27;v2.2.500</anid> <title id="AN0183973019-1">Brief Report: Longitudinal Trajectory of Working Memory in School-Aged Children on the Autism Spectrum: Period of High Plasticity and "Late Bloomers" </title> <p>Purpose: While working memory (WM) is a powerful predictor for children's school outcomes, autistic children are more likely to experience delays. This study compared autistic children and their neurotypical peers' WM development over their elementary school years, including relative growth and period of plasticity. Methods: Using a nationally-representative dataset, latent growth models were built to examine periods of high plasticity and the relationship between children's performance upon school entry and their relative growth. Results: While both groups made steeper gains during the early school years, autistic children's period of highest plasticity was prolonged by 1 year, which suggests a larger window for interventions. Further, autistic children who started kindergarten with poorer WM were more likely to make rapid growth during the last 3 years of elementary school, which is when their neurotypical peers' development started to plateau. Conclusion: Findings should prompt various stakeholders to examine interventions and instructions to maximize autistic children's growth in WM. Further, the continued support and monitoring by educators throughout autistic children's late childhood can be particularly beneficial for the "late-bloomers."</p> <p>Keywords: Autism spectrum disorder; Working memory; Developmental trajectory; Longitudinal relationship</p> <p>In order to respect the preference of many autistic self-advocates, 'person-first language' and 'identity-first language' were used interchangeably throughout this paper.</p> <hd id="AN0183973019-2">Introduction</hd> <p>Executive functioning (EF) skills involve sustaining attention, resisting impulsive responses, mentally manipulating information, and changing course of action as needed (Diamond, [<reflink idref="bib12" id="ref1">12</reflink>]). These critical skills account for children's school success and are more powerful predictors of school outcomes than IQ, pre-literacy skills, or foundational math skills (Diamond, [<reflink idref="bib12" id="ref2">12</reflink>]). Executive functioning has been shown to be a unitary construct at an early age, but from around the time when children enter formal schooling, the following three subdomains of EF statistically load as dissociable factors: working memory, cognitive flexibility, and inhibition (Friedman &amp; Miyake, [<reflink idref="bib16" id="ref3">16</reflink>]). Working memory (WM), an important component of EF, involves executing goal-directed behaviors and engaging in deliberate memory search for goal-related information (Barrett et al., [<reflink idref="bib5" id="ref4">5</reflink>]). Working memory can be auditory, which entails maintaining speech-based information, or visuospatial, which involves retaining visual or spatial features (Baddeley, [<reflink idref="bib3" id="ref5">3</reflink>]). Auditory WM is viewed as a verbal information-processing system, which is commonly measured with memory span tasks. Memory span tasks, such as forward and backward digit span (Roman et al., [<reflink idref="bib34" id="ref6">34</reflink>]), typically require ordered serial recall of a sequence, and the correctly recalled length of the sequence is used as a measure of auditory WM capacity.</p> <hd id="AN0183973019-3">Working Memory and School Outcomes</hd> <p>As working memory is responsible for controlling one's attention, temporarily storing information, and retrieving information from long-term memory (Baddeley, [<reflink idref="bib4" id="ref7">4</reflink>]), WM plays a critical role in children's cognitive development and school success from an early age. For example, when a child is given verbal instructions by their teacher, they need to retain the information contained at the beginning of the spoken sentence until the end. Then they need to use that information while retrieving their prior knowledge relevant to the task, in order to complete the task. Without effective WM, the information would be lost before they are able to execute the task.</p> <p>Consequently, WM is closely related to academic readiness (Swayze &amp; Dexter, [<reflink idref="bib37" id="ref8">37</reflink>]), early mathematical skills (Bull et al., [<reflink idref="bib8" id="ref9">8</reflink>]; Harvey &amp; Miller, [<reflink idref="bib21" id="ref10">21</reflink>]), language acquisition (Roman et al., [<reflink idref="bib34" id="ref11">34</reflink>]), Theory of Mind (Lecce et al., [<reflink idref="bib28" id="ref12">28</reflink>]), and positive classroom engagement (Fitzpatrick &amp; Pagani, [<reflink idref="bib14" id="ref13">14</reflink>]). Working memory shows clear developmental changes during the first 5 years of life, which set the foundation for a more complex development (Garon et al., [<reflink idref="bib17" id="ref14">17</reflink>]). After this "sensitive period," (a period of relative plasticity with high susceptibility to environmental influences (Thompson &amp; Steinbeis, [<reflink idref="bib38" id="ref15">38</reflink>]; Zelazo &amp; Carlson, [<reflink idref="bib43" id="ref16">43</reflink>])), WM continues to develop through elementary school years and early adolescence in more complex forms (Conklin et al., [<reflink idref="bib10" id="ref17">10</reflink>]; Gathercole et al., [<reflink idref="bib18" id="ref18">18</reflink>]; Luciana et al., [<reflink idref="bib29" id="ref19">29</reflink>]). However, despite extensive research on the development of WM during the preschool years, research on the continued progress of WM in school-aged children is limited (Best &amp; Miller, [<reflink idref="bib7" id="ref20">7</reflink>]).</p> <hd id="AN0183973019-4">Working Memory in Autistic Children</hd> <p>Many children who qualify for special education exhibit a deficit in WM, and such delays are more frequently observed in children on the autism spectrum (Otero et al., [<reflink idref="bib33" id="ref21">33</reflink>]). Particularly for autistic students, WM deficits are associated with difficulties with critical school-readiness skills such as focusing, sustaining attention, and behavior regulation (Kercood et al., [<reflink idref="bib25" id="ref22">25</reflink>]). Moreover, autistic children's difficulties with auditory WM were linked to greater challenges in adaptive behaviors and heightened restrictive or repetitive behaviors (Kercood et al., [<reflink idref="bib25" id="ref23">25</reflink>]).</p> <p>Several studies have examined cross-sectional profiles or longitudinal trajectories of auditory WM in school-aged students on the autism spectrum and their neurotypical (NT) peers. While autistic children make improvements in auditory WM over time (e.g., forward and backward digit span, recalling numbers and letters in ascending order when given different combinations), they show overall delays when compared to their neurotypical peers (Andersen et al., [<reflink idref="bib2" id="ref24">2</reflink>]; Chen et al., [<reflink idref="bib9" id="ref25">9</reflink>]). In addition, a recent longitudinal study (Vogan et al., [<reflink idref="bib41" id="ref26">41</reflink>]) demonstrated that autistic children and adolescents (ages 7–14) had impaired everyday WM as measured by parent reports (i.e., BRIEF; Gioia et al., [<reflink idref="bib19" id="ref27">19</reflink>]), and made no significant improvement across a 2-year time span. It is important to note that these studies had relatively small samples (n = 34 to 63 per subgroup[<reflink idref="bib1" id="ref28">1</reflink>]), and some conducted a cross-sectional analysis with two different age groups as opposed to following the same group of children. Furthermore, when studies were longitudinal the time frame was only 2 years, which may not have captured the entirety of autistic children's sensitive period for WM development. Therefore, a longitudinal analysis with a larger sample of autistic children during a longer time span examining their WM trajectory is indicated in order to better understand their developmental trajectory of WM. Ultimately, research is inconclusive on whether autistic children undergo their anticipated sensitive period and maturity point (a point in the development when susceptibility decreases and the growth stabilizes (Luna et al., [<reflink idref="bib30" id="ref29">30</reflink>])) similarly to their NT peers.</p> <p>Therefore, the current study examined WM trajectories including relative growth and period of plasticity using longitudinal data with seven data collection waves over the course of the entire elementary school years (i.e., 6 years). More specifically, we addressed the following research questions: (<reflink idref="bib1" id="ref30">1</reflink>) When do autistic children make the most rapid growth in WM during their elementary school years? (<reflink idref="bib2" id="ref31">2</reflink>) How does autistic children's WM performance upon entering kindergarten predict their rate of growth throughout their elementary school years? (<reflink idref="bib3" id="ref32">3</reflink>) How does autistic children's WM developmental trajectory differ from their NT peers?</p> <hd id="AN0183973019-5">Method</hd> <p></p> <hd id="AN0183973019-6">Dataset</hd> <p>This study used the restricted version of the Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011), a nationally representative dataset that follows the same cohort of children from kindergarten through fifth grade across 9 time points (Table 1). The ECLS-K:2011 dataset was sponsored by the National Center for Education Statistics (NCES) within the Institute of Education Sciences (IES) of the U.S. Department of Education. In total, approximately 18,170 children across about 1,310 schools and their parents, teachers, school administrators, and before- and after-school care providers participated in the data collection. (Tourangeau et al., [<reflink idref="bib39" id="ref33">39</reflink>]).</p> <p>Table 1 Data collection schedule from T1 to T9</p> <p> <ephtml> &lt;table frame="hsides" rules="groups"&gt;&lt;thead&gt;&lt;tr&gt;&lt;th align="left" /&gt;&lt;th align="left"&gt;&lt;p&gt;Semester &amp; grade&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;School year&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T1&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Fall of kindergarten&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;2010&amp;#8211;11&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T2&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of kindergarten&lt;/p&gt;&lt;/td&gt;&lt;td align="left" /&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T3&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Fall of 1st grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;2011&amp;#8211;12&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T4&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 1st grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left" /&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T5&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Fall of 2nd grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;2012&amp;#8211;2013&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T6&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 2nd grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left" /&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T7&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 3rd grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;2014&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T8&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 4th grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;2015&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T9&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 5th grade&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;2016&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; </ephtml> </p> <p>SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files</p> <hd id="AN0183973019-7">Participants</hd> <p>Students were included in the autism sample in the present study if: (<reflink idref="bib1" id="ref34">1</reflink>) parents responded at least once during the six rounds of interview that their child had a diagnosis of autism or (<reflink idref="bib2" id="ref35">2</reflink>) the special education teacher responded at least once that the child was receiving special education services for a diagnosis of autism. Students were included in the NT sample in the study if: (<reflink idref="bib1" id="ref36">1</reflink>) parents reported <emph>No</emph> to the question "Did you obtain a diagnosis of a problem from a professional?" at each of the six rounds of survey. A case–control matching was attempted using the students' math and reading scores in Kindergarten. However, approximately 1/3 of the autistic children did not have these scores. Autistic students who did not have reading and math scores had significantly lower WM than those who did throughout their elementary school years (p &gt; 0.05). Excluding these children from the analysis would not provide a comprehensive picture of autistic children's developmental trajectories. Therefore, a decision was made to retain the entire autism and NT sample. The final sample included approximately (N ≈ 310) students in the autism group and approximately (N ≈ 3410) in the NT group. All sample sizes are rounded to the nearest 10 per confidentiality agreement.</p> <hd id="AN0183973019-8">Measures</hd> <p></p> <hd id="AN0183973019-9">Demographic Characteristics</hd> <p>Demographic characteristics of the sample included: (<reflink idref="bib1" id="ref37">1</reflink>) race/ethnicity (White, Black, Hispanic, Asian-American/Pacific Islanders/Native Americans (AAPINA), other), (<reflink idref="bib2" id="ref38">2</reflink>) sex assigned at birth (male, female), (<reflink idref="bib3" id="ref39">3</reflink>) income range, and (<reflink idref="bib4" id="ref40">4</reflink>) parent's educational level.</p> <hd id="AN0183973019-10">Variable</hd> <p></p> <hd id="AN0183973019-11">Working Memory</hd> <p>Numbers Reversed subset of the Woodcock-Johnson III (WJ III) <emph>Test of Cognitive Abilities</emph> (Woodcock et al., [<reflink idref="bib42" id="ref41">42</reflink>]) was administered to measure WM from kindergarten through 5th grade, across 9 time points. Students were asked to repeat orally presented strings of numbers backward. The <emph>W</emph> score for the Number Reversed subtask was used as it is a standardized score that is particularly suited for longitudinal analyses, regression, and correlation (Tourangeau et al., [<reflink idref="bib39" id="ref42">39</reflink>]).</p> <hd id="AN0183973019-12">Analyses</hd> <p></p> <hd id="AN0183973019-13">Missing Data</hd> <p>Missingness in the WM scores is summarized in Table 2. In both Autism sample and the NT sample, high levels of missingness (&gt; 60%) were observed in T3 and T5. Therefore, these 2 time points were excluded from further analyses. For the remaining time points, missing data were handled by Full Information Maximum Likelihood (FIML) as this method is shown to be robust with structural equation models (SEMs) under the assumption of missing-at-random (MAR[<reflink idref="bib2" id="ref43">2</reflink>]) (Allison, [<reflink idref="bib1" id="ref44">1</reflink>]).</p> <p>Table 2 Percentage of missingness in working memory at each time point</p> <p> <ephtml> &lt;table frame="hsides" rules="groups"&gt;&lt;thead&gt;&lt;tr&gt;&lt;th align="left"&gt;&lt;p&gt;Time Point&lt;/p&gt;&lt;/th&gt;&lt;th align="left" colspan="2"&gt;&lt;p&gt;% of Missingness&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;th align="left" /&gt;&lt;th align="left"&gt;&lt;p&gt;Autism Group (N = 310) %&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;NT Group (N = 3410) %&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T1&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;30.19&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;11.33&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T2&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;14.61&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;1.67&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T3*&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;73.38&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;63.43&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T4&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;21.43&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;1.82&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T5*&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;73.70&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;64.75&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T6&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;24.68&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;2.52&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T7&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;29.22&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;3.38&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T8&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;33.77&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;4.40&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;T9&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;38.64&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;5.37&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; </ephtml> </p> <p>N rounded to the nearest 10 per confidentiality agreement SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files *Excluded from the analysis due to high percentage of missingness</p> <hd id="AN0183973019-14">Latent Growth Modeling: Unconditional Model</hd> <p>Unconditional latent growth models were created using Lavaan package (Rosseel, [<reflink idref="bib35" id="ref45">35</reflink>]) in R statistical environment in order to estimate longitudinal trajectories while capturing individual variabilities in their growth (Flora, [<reflink idref="bib15" id="ref46">15</reflink>]). The starting point and rate of growth of WM developmental trajectory for each subgroup were modeled as latent variables.</p> <hd id="AN0183973019-15">Multivariate Normality</hd> <p>The WM scores from the seven time points did not meet the assumption of multivariate normality (p &lt; 0.001) based on Mardia's skewness and kurtosis test (Kres, [<reflink idref="bib27" id="ref47">27</reflink>]; Mardia, [<reflink idref="bib31" id="ref48">31</reflink>]). When the data violate the assumption of multivariate normality, a robust estimator can be used for a correction (Beaujean, [<reflink idref="bib6" id="ref49">6</reflink>]). As the "MLF" estimator (maximum likelihood estimation with standard errors based on the first-order derivatives) is shown to be useful for both complete and incomplete data (Beaujean, [<reflink idref="bib6" id="ref50">6</reflink>]), the MLF estimator was used when building the latent growth model for both subgroups.</p> <hd id="AN0183973019-16">Final Unconditional LGM</hd> <p>Fit indices for all unconditional Latent Growth Models built are summarized in Table 3. In order to determine the best fitting LGM for both subgroups, linear models as well as piecewise models were built. With piecewise models, a decision needs to be made for the transition point, or a "knot" representing a time point when the two linear slopes meet, as these models capture the nonlinear trajectories by adding another slope factor (Flora, [<reflink idref="bib15" id="ref51">15</reflink>]). For the autism group, the fit indices for a piecewise model with knot at T6 were χ<sups>2</sups> = 36.618, df = 19, CFI = 0.984, RMSEA = 0.058, SRMR = 0.040 (Model 3). Because this model met the model evaluation criteria most closely (Hu &amp; Bentler, [<reflink idref="bib22" id="ref52">22</reflink>]), it was chosen as the final model for the Autism group. The fixed factor loading matrix for the final model (Model 3 with knot at T6) is illustrated in Fig. 1.</p> <p>Table 3 Fit indices for unconditional latent growth models</p> <p> <ephtml> &lt;table frame="hsides" rules="groups"&gt;&lt;thead&gt;&lt;tr&gt;&lt;th align="left"&gt;&lt;p&gt;Working Memory&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;Subgroup&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;Model Type&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;&amp;#935;&lt;sup&gt;2&lt;/sup&gt;&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;df&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;p&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;CFI&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;RMSEA&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;SRMR&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Model 1&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Autism&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Linear&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;134.779&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;23&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.000&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.896&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.132&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.114&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Model 2&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;NT&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Linear&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;2181.057&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;23&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.000&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.730&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.166&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.124&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Model 3*&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Autism&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Piecewise; Knot at T6&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;36.618&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;19&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.009&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.984&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.058&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.040&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Model 4&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Autism&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Piecewise; Knot at T7&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;54.652&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;19&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.000&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.967&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.082&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.065&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Model 5*&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;NT&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Piecewise; Knot at T4&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;268.236&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;19&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.000&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.969&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.062&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char"&gt;&lt;p&gt;0.033&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; </ephtml> </p> <p>SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files *Final models</p> <p>Graph: Fig. 1 Fixed factor loading matrix for the Autism group's final LGM model. SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files. T3 and T5 are excluded from the analysis due to high missingness</p> <p>For the NT group, the fit indices for a piecewise model with knot at T4 were χ<sups>2</sups> = 268.236, df = 19, CFI = 0.969, RMSEA = 0.062, SRMR = 0.033 (Model 5). As this model met the model evaluation criteria most closely, it was chosen as the final model for the NT group. The fixed factor loading matrix for the final model (Model 5 with knot at T4) is illustrated in Fig. 2.</p> <p>Graph: Fig. 2 Fixed factor loading matrix for the NT group's final LGM. SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files. T3 and T5 are excluded from the analysis due to high missingness</p> <hd id="AN0183973019-17">Results</hd> <p></p> <hd id="AN0183973019-18">Demographic Characteristics</hd> <p>Demographic characteristics of the autism sample and the NT sample are illustrated in Table 4. A majority of children was classified as White in both samples. Eighty-two percent of the children in the autism sample were male, while 46% were male in the NT group. Students' race and parents' educational levels did not differ significantly (p &gt; 0.05) among the autism and the NT group. The group difference was most pronounced in the students' sex assigned at birth (p &gt; 0.05) as expected with the 4:1 ratio of male to female in autism diagnoses.</p> <p>Table 4 Demographic characteristics of the Autism sample and the NT sample</p> <p> <ephtml> &lt;table frame="hsides" rules="groups"&gt;&lt;thead&gt;&lt;tr&gt;&lt;th align="left"&gt;&lt;p&gt;Demographic characteristics&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;Autism (N = 310)&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;NT (N = 3410)&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;Pearson Chi-square&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;p&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Race&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" rowspan="6"&gt;&lt;p&gt;2.1&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" rowspan="6"&gt;&lt;p&gt;0.717&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; White&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;170 (54%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;1930 (57%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Black/African-American&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;20 (8%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;220 (6%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Hispanic&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;70 (21%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;720(21%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Asian-American/Pacific Islanders/Native American&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;40 (11%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;380 (11%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Other&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;20 (7%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;170 (5%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Sex Assigned at Birth&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" rowspan="3"&gt;&lt;p&gt;147.221&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" rowspan="3"&gt;&lt;p&gt;&amp;#60; 0.001*&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Female&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;60 (18%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;1840 (54%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Male&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;250 (82%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;1570 (46%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Income&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" rowspan="8"&gt;&lt;p&gt;23.774&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" rowspan="8"&gt;&lt;p&gt;&amp;#60; 0.001*&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $20,000 or less&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;50 (19%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;430 (13%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $20,000 to $30,000&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;30 (13%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;310 (9%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $30,000 to $50,000&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;50 (20%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;510 (15%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $50,000 to $75,000&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;40 (14%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;610 (18%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $75,000 to $100,000&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;30 (13%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;570 (17%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $100,000 to $200,000&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;40 (16%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;770 (23%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; $200,000 or more&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;20 (6%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;210 (6%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Parents' educational level&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" /&gt;&lt;td char="." align="char" rowspan="4"&gt;&lt;p&gt;4.759&lt;/p&gt;&lt;/td&gt;&lt;td char="." align="char" rowspan="4"&gt;&lt;p&gt;0.093&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; High School&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;50 (24%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;840 (25%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; 2&amp;#8211;4 year College&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;140 (62%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;1870 (55%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt; Postgraduate Degree&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;30 (15%)&lt;/p&gt;&lt;/td&gt;&lt;td char="(" align="char"&gt;&lt;p&gt;690 (20%)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; </ephtml> </p> <p>N rounded to the nearest 10 per confidentiality agreement SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011) Restricted-use data files</p> <hd id="AN0183973019-19">Parameter Estimates for Working Memory Development</hd> <p></p> <hd id="AN0183973019-20">Knot and Slopes</hd> <p>In the autism group, the first latent slope, or estimated rate of growth, was 7.806 (p &lt; 0.001). It spanned from fall of kindergarten (T1) to spring of 2nd grade (T6). This implies that autistic children are expected to make 7.806 units of gain in WM per semester during this time. The "knot" was identified at T6, and the second latent slope was 4.131 (p &lt; 0.001) which spanned from spring of 2nd grade (T6) to spring of 5th grade (T9). In the NT group, the first latent slope was 11.132 (p &lt; 0.001), and it spanned from fall of kindergarten (T1) to spring of 1st grade (T4). The "knot" was identified at T4, and the second latent slope was 3.922 (p &lt; 0.001) which spanned from spring of 1st grade (T4) to spring of 5th grade (T9). The knots and slope estimates are illustrated in Table 5 and Figs. 3, 4.</p> <p>Table 5 Summary of parameter estimates for working memory development</p> <p> <ephtml> &lt;table frame="hsides" rules="groups"&gt;&lt;thead&gt;&lt;tr&gt;&lt;th align="left" /&gt;&lt;th align="left"&gt;&lt;p&gt;Autism (N = 310)&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;NT (N = 3,410)&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Knot&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 2nd Grade (T6)&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Spring of 1st Grade (T4)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Latent Intercept (Initial Status)&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;420.077&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;444.854&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Latent Slope 1&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;7.806&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;11.132&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Latent Slope 2&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;4.131&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;3.922&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Correlation between Initial Status and Slope 1&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;&amp;#8722; 0.020 (p = 0.852)&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;&amp;#8722; &lt;bold&gt;0.786&lt;/bold&gt; (p &amp;#60; 0.001*)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Correlation between Initial Status and Slope 2&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;&amp;#8722; &lt;bold&gt;0.270&lt;/bold&gt; (p = 0.013*)&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;&amp;#8722; &lt;bold&gt;0.119&lt;/bold&gt; (p = 0.002*)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Correlation between Slope 1 and Slope 2&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;&amp;#8722; 0.215 (p = 0.167)&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;&amp;#8722; 0.022 (p = 0.693)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; </ephtml> </p> <p>Bold values indicate statistically significant at p &lt; 0.05 N rounded to the nearest 10 per confidentiality agreement SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011) Restricted-use data files</p> <p>Graph: Fig. 3 Estimates of autistic children's working memory developmental trajectory, slopes, and the knot. SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files</p> <p>Graph: Fig. 4 Estimates of neurotypical children's working memory developmental trajectory, slopes, and the knot. SOURCE: U.S. Department of Education, National Center for Education Statistics (NCES), The Early Childhood Longitudinal Study, Kindergarten Class of 2010–2011 (ECLS-K:2011). Restricted-use data files</p> <hd id="AN0183973019-21">Relationship Between Latent Intercept and Slopes</hd> <p>In the autism group, the correlation between the intercept and the first slope was not statistically significant (p = 0.852). However, the correlation between the intercept and the second slope (T6-T9) was statistically significant (β = − 0.270, p = 0.013). Such a negative correlation implies that the lower the initial status upon school entry, the steeper the gains during T6 to T9. Moreover, the correlation between the first latent slope and the second latent slope was not statistically significant (p = 0.167). In the NT group, the correlation between the latent intercept and the first latent slope was statistically significant (β = − 0.786, p &lt; 0.001), and the correlation between the latent intercept and the second latent slope was also statistically significant (β = − 0.119, p = 0.002). However, the correlation between the first and the second latent slopes was not statistically significant (p = 0.693). Parameter estimates for both groups' working development trajectories are summarized in Table 5.</p> <hd id="AN0183973019-22">Discussion</hd> <p>The current study explored longitudinal trajectories in auditory WM development among school-aged autistic children and their NT peers across a six-year time span. The results find that both groups made extensive gains in the earlier grades instead of following a linear trajectory, thus aligning with previous literature. However, unlike their NT peers whose WM performance demonstrates rapid gains during the first 2 years of their elementary school years (i.e., kindergarten to 1st grade), autistic children continued to make rapid gains for another year until the end of 2nd grade. Further, autistic children who exhibited poor WM upon school entry were more likely to make rapid growth <emph>after</emph> the "knot" (i.e., 3rd to 5th grade) but not <emph>before</emph> the "knot" (i.e., kindergarten to 2nd grade). In contrast, NT children who exhibited poor WM upon school entry were more likely to make rapid gains throughout their elementary school years, suggesting the presence of "late-bloomers" in WM development within the autistic population.</p> <hd id="AN0183973019-23">Rates of Growth and Locations of the "Knot."</hd> <p>The aforementioned findings suggest that autistic children continue to make relatively rapid growth beyond the <emph>knot</emph>, while the development in their NT peers substantially declines after the <emph>knot</emph>. Therefore, it is inferred that autistic children may potentially produce slower-but-steady gains in WM throughout their elementary school years, which allows for a longer window of opportunity for growth. Such findings are substantiated by a previous study that indicated the presence of a protracted window of EF plasticity in autistic children (O'Hearn et al., [<reflink idref="bib32" id="ref53">32</reflink>]). Consequently, this finding should influence various stakeholders to examine intervention approaches and instructional practices that maximize autistic students' growth during this "sensitive period."</p> <p>There is emerging evidence that WM can be improved with targeted interventions. More importantly, some WM interventions demonstrated significant improvements in other untrained skills as well in children with or without disabilities. For example, auditory WM training produced a transfer effect in syntax and processing speed (Delage et al., [<reflink idref="bib11" id="ref54">11</reflink>]), and training in visuospatial WM skills generated improvements in reasoning (Jaeggi et al., [<reflink idref="bib24" id="ref55">24</reflink>]; Klingberg et al., [<reflink idref="bib26" id="ref56">26</reflink>]). Further, a combination of verbal and visuospatial WM training increased on-task behaviors (Green et al., [<reflink idref="bib20" id="ref57">20</reflink>]). However, other studies failed to replicate such far-transfers. Rather, they were effective in improving only the specific skills that they were trained on, without significant progress in other related skills that are important for school success (see Diamond &amp; Ling, [<reflink idref="bib13" id="ref58">13</reflink>] for a review). Therefore, a focused effort is necessary in developing WM interventions that reliably produce robust effects that can be maintained and generalized across other related skills, in order to maximize autistic children's school outcomes.</p> <hd id="AN0183973019-24">Relationship Between Initial Status and Rates of Growth</hd> <p>The findings indicated that autistic children who started at a low standing upon school entry made more rapid gains after 2nd grade, which was when the progress of both the NT group and the autism group as a whole began to plateau. Previous research noted that autistic children demonstrate persistent impairment in WM with little or no improvements regardless of age (e.g., Andersen et al., [<reflink idref="bib2" id="ref59">2</reflink>]; Chen et al., [<reflink idref="bib9" id="ref60">9</reflink>]; Vogan et al., [<reflink idref="bib41" id="ref61">41</reflink>]). However, these studies were limited either by their cross-sectional nature, or short term longitudinal examination (1–2 years). Some of these studies also included a sample with wide age ranges (e.g., 8 to adolescence), while significant gains are more often reported in younger age groups. While these studies provide us with important insights on autistic children's WM development, longitudinal analyses that span across 6 years as in the current study revealed that some autistic children, especially those who started kindergarten with poor WM, began to make rapid gains from 3rd grade and on. As some of the aforementioned studies included only a two-year window of development, the unique developmental trajectory of these "late-bloomers" may not have been adequately captured. As such, current findings suggest that there is a risk of making misleading conclusions about autistic children's WM trajectories when samples include a narrow range of age or when a brief window of time for longitudinal analyses is examined. Findings from this analysis further highlight the possibility that the "Matthew effect[<reflink idref="bib3" id="ref62">3</reflink>]" may not apply when describing autistic children's unique developmental trajectories. Taken together, without the understanding of such longitudinal relationship, educators or interventionists may miss out on the delayed window of high plasticity for these "late-bloomers" as their sensitive period remains unnoticed.</p> <p>A recent meta-analysis revealed that student–teacher relationship is positively associated with children's WM development (Vandenbroucke et al., [<reflink idref="bib40" id="ref63">40</reflink>]). Therefore, teachers' continued support and close monitoring throughout autistic children's late childhood and adolescent years might be especially important for these "late-bloomers" WM development, a potential focus of future research.</p> <hd id="AN0183973019-25">Limitations</hd> <p>A few limitations are noted. First, the data collection starts in Fall of the kindergarten year, despite research indicating that the growth spurt in EF skills occurs between the ages of 3 and 5 (Garon et al., [<reflink idref="bib17" id="ref64">17</reflink>]). Therefore, findings from this study do not include analyses from an important early developmental period of WM. Secondly, while attempts to match the autistic sample to the NT sample on critical developmental areas (e.g., math and reading) were made, approximately 32% of the autistic students did not have reading or math scores. Therefore, we retained the entire autism and NT sample, which led to an NT comparison group that is distinctively larger than the autism group. Further, as the two subgroups were not matched on any cognitive measures, severity levels of autism symptoms, or oral language skills, any parallel comparisons between the autism and NT group on their WM performances at distinct time points should be interpreted with caution. Instead, readers are encouraged to focus on the quality of developmental trajectories of the two groups, the relationships between their early performance and the rate of growth, and their periods of high plasticity. Moreover, the Numbers Reversed (Woodcock et al., [<reflink idref="bib42" id="ref65">42</reflink>]) tasks assess auditory WM only, and do not assess visuospatial WM. Although the Numbers Reversed task has a relatively lower language load when compared to other auditory WM tasks involving recalling words (e.g., sentence recall), autistic children's possible language or cognitive delays may have contributed to their performance. Such influence was not accounted for in the current analysis. Lastly, due to the nature of the dataset, the parent and teacher reports were used exclusively for students' diagnostic eligibility. Therefore, the children's formal autism diagnosis cannot be confirmed.</p> <p>Regardless, this study is the first longitudinal study to our knowledge that examined autistic children's WM development over the entire elementary school years. As a result, it provides unique perspectives and a deeper understanding of the qualities of the developmental trajectories of WM for autistic children during this time. Further studies that examine the entire developmental trajectories from toddler years to adulthood would be especially beneficial to gain a better understanding of the EF developmental trajectories for the autistic population, as well as including the full spectrum of autistic children (a wider range of ability, SES, race and ethnicity) matched to NT children.</p> <hd id="AN0183973019-26">Implications &amp; Future Directions</hd> <p>All the findings from the current study converge into an important implication that autistic children's WM may be more malleable at a younger age with a great diversity in their performances, and they may have a wider window for growth than their NT peers. While there is a robust evidence base that children's inherent characteristics such as having autism predict greater challenges with their WM performance, many researchers demonstrate that environmental factors can also play an important role (see Hughes, [<reflink idref="bib23" id="ref66">23</reflink>] for a review). Therefore, it is critical that researchers examine possible explanatory factors that are both internal (e.g., disability status) as well as external (e.g., family or school environments) that contribute to maximizing autistic children's growth in WM during their "sensitive periods."</p> <p>It is also noteworthy that autistic children show growth in accordance to their own unique developmental paths instead of following predictable growth paths exhibited by their NT peers. Therefore, drawing conclusions on autistic children's WM development based on the expected development of their NT peers may not be appropriate. Instead, facilitating educators', parents' and researchers' understanding of the heterogeneous and unique nature of autistic children's WM development is critical.</p> <hd id="AN0183973019-27">Acknowledgments</hd> <p>This project was supported in part by the Health Resources and Services Administration (HRSA) of the U.S. Department of Health and Human Services (HHS) under cooperative agreement UT3MC39436, Autism Intervention Research Network on Behavioral Health (AIR-B). The information, content and/or conclusions are those of the author and should not be construed as the official position or policy of, nor should any endorsements be inferred by HRSA, HHS or the U.S. Government.</p> <hd id="AN0183973019-28">Author Contributions</hd> <p>Sohyun An Kim devised the project and secured access to the dataset. Sohyun An Kim designed the study, performed the statistical analysis, and drafted the manuscript. Connie Kasari supervised the entire process from the inception of the study, provided critical feedback, and helped shape the manuscript.</p> <hd id="AN0183973019-29">Funding</hd> <p>This study was funded by Health Resources and Services Administration, UT3MC39436, Connie Kasari.</p> <hd id="AN0183973019-30">Declarations</hd> <p></p> <hd id="AN0183973019-31">Conflict of interest</hd> <p>The authors declare no conflict of interest.</p> <hd id="AN0183973019-32">Appendix</hd> <p>See Table 6</p> <p>Table 6 Sample sizes of previous studies examining working memory of autistic children</p> <p> <ephtml> &lt;table frame="hsides" rules="groups"&gt;&lt;thead&gt;&lt;tr&gt;&lt;th align="left"&gt;&lt;p&gt;Studies&lt;/p&gt;&lt;/th&gt;&lt;th align="left"&gt;&lt;p&gt;Groups and ample sizes&lt;/p&gt;&lt;/th&gt;&lt;/tr&gt;&lt;/thead&gt;&lt;tbody&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Andersen et al., &lt;xref ref-type="bibr" rid="bibr2"&gt;2015&lt;/xref&gt;&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Autism (n&amp;#8201;=&amp;#8201;34), ADHD (n&amp;#8201;=&amp;#8201;72), NT (n&amp;#8201;=&amp;#8201;45)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Chen et al., &lt;xref ref-type="bibr" rid="bibr9"&gt;2016&lt;/xref&gt;&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Younger group (ages 8&amp;#8211;12): autism (n&amp;#8201;=&amp;#8201;53); NT (n&amp;#8201;=&amp;#8201;63)&lt;/p&gt;&lt;p&gt;Older group (ages 13&amp;#8211;18): autism (n&amp;#8201;=&amp;#8201;58); NT (n&amp;#8201;=&amp;#8201;51)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td align="left"&gt;&lt;p&gt;Vogan et al., &lt;xref ref-type="bibr" rid="bibr41"&gt;2018&lt;/xref&gt;&lt;/p&gt;&lt;/td&gt;&lt;td align="left"&gt;&lt;p&gt;Autism (n&amp;#8201;=&amp;#8201;34), NT (n&amp;#8201;=&amp;#8201;34)&lt;/p&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/tbody&gt;&lt;/table&gt; </ephtml> </p> <p>.</p> <hd id="AN0183973019-33">Publisher's Note</hd> <p>Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p> <ref id="AN0183973019-34"> <title> References </title> <blist> <bibl id="bib1" idref="ref28" type="bt">1</bibl> <bibtext> Allison PD. 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Child Development Perspectives, n/a-n/a. 2012. 10.1111/j.1750-8606.2012.00246.x</bibtext> </blist> </ref> <ref id="AN0183973019-35"> <title> Footnotes </title> <blist> <bibtext> See Appendix Table 6.</bibtext> </blist> <blist> <bibtext> Both autism group and NT group passed Little's MCAR test with <ephtml> &lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;msup&gt;&lt;mrow /&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt; </ephtml></bibtext> </blist> <blist> <bibtext>Graph</bibtext> </blist> <blist> <bibtext>=133.860 (p = 0.584) and <ephtml> &lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;msup&gt;&lt;mrow /&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/math&gt; </ephtml></bibtext> </blist> <blist> <bibtext>Graph</bibtext> </blist> <blist> <bibtext>=140.767 (p = 0.106) respectively.</bibtext> </blist> <blist> <bibtext> Stanovich ([36]) termed the Matthew Effect, which states that those who have more academic ability show a greater ratio of growth compared to those who are at a disadvantage in academic ability<uline>.</uline></bibtext> </blist> </ref> <aug> <p>By Sohyun An Kim and Connie Kasari</p> <p>Reported by Author; Author</p> </aug> <nolink nlid="nl1" bibid="bib12" firstref="ref1"></nolink> <nolink nlid="nl2" bibid="bib16" firstref="ref3"></nolink> <nolink nlid="nl3" bibid="bib34" firstref="ref6"></nolink> <nolink nlid="nl4" bibid="bib37" firstref="ref8"></nolink> <nolink nlid="nl5" bibid="bib21" firstref="ref10"></nolink> <nolink nlid="nl6" bibid="bib28" firstref="ref12"></nolink> <nolink nlid="nl7" bibid="bib14" firstref="ref13"></nolink> <nolink nlid="nl8" bibid="bib17" firstref="ref14"></nolink> <nolink nlid="nl9" bibid="bib38" firstref="ref15"></nolink> <nolink nlid="nl10" bibid="bib43" firstref="ref16"></nolink> <nolink nlid="nl11" bibid="bib10" firstref="ref17"></nolink> <nolink nlid="nl12" bibid="bib18" firstref="ref18"></nolink> <nolink nlid="nl13" bibid="bib29" firstref="ref19"></nolink> <nolink nlid="nl14" bibid="bib33" firstref="ref21"></nolink> <nolink nlid="nl15" bibid="bib25" firstref="ref22"></nolink> <nolink nlid="nl16" bibid="bib41" firstref="ref26"></nolink> <nolink nlid="nl17" bibid="bib19" firstref="ref27"></nolink> <nolink nlid="nl18" bibid="bib30" firstref="ref29"></nolink> <nolink nlid="nl19" bibid="bib39" firstref="ref33"></nolink> <nolink nlid="nl20" bibid="bib42" firstref="ref41"></nolink> <nolink nlid="nl21" bibid="bib35" firstref="ref45"></nolink> <nolink nlid="nl22" bibid="bib15" firstref="ref46"></nolink> <nolink nlid="nl23" bibid="bib27" firstref="ref47"></nolink> <nolink nlid="nl24" bibid="bib31" firstref="ref48"></nolink> <nolink nlid="nl25" bibid="bib22" firstref="ref52"></nolink> <nolink nlid="nl26" bibid="bib32" firstref="ref53"></nolink> <nolink nlid="nl27" bibid="bib11" firstref="ref54"></nolink> <nolink nlid="nl28" bibid="bib24" firstref="ref55"></nolink> <nolink nlid="nl29" bibid="bib26" firstref="ref56"></nolink> <nolink nlid="nl30" bibid="bib20" firstref="ref57"></nolink> <nolink nlid="nl31" bibid="bib13" firstref="ref58"></nolink> <nolink nlid="nl32" bibid="bib40" firstref="ref63"></nolink> <nolink nlid="nl33" bibid="bib23" firstref="ref66"></nolink> |
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| Items | – Name: Title Label: Title Group: Ti Data: Brief Report: Longitudinal Trajectory of Working Memory in School-Aged Children on the Autism Spectrum: Period of High Plasticity and 'Late Bloomers' – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sohyun+An+Kim%22">Sohyun An Kim</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-1718-2421">0000-0003-1718-2421</externalLink>)<br /><searchLink fieldCode="AR" term="%22Connie+Kasari%22">Connie Kasari</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="SO" term="%22Journal+of+Autism+and+Developmental+Disorders%22"><i>Journal of Autism and Developmental Disorders</i></searchLink>. 2025 55(4):1537-1546. – Name: Avail Label: Availability Group: Avail Data: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/ – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: Y – Name: Pages Label: Page Count Group: Src Data: 10 – Name: DatePubCY Label: Publication Date Group: Date Data: 2025 – Name: SourceSuprt Label: Sponsoring Agency Group: SrcSuprt Data: Health Resources and Services Administration (HRSA) (DHHS) – Name: NumberContract Label: Contract Number Group: NumCntrct Data: UT3MC39436 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Journal Articles<br />Reports - Research – Name: Audience Label: Education Level Group: Audnce Data: <searchLink fieldCode="EL" term="%22Elementary+Education%22">Elementary Education</searchLink> – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Elementary+School+Students%22">Elementary School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Autism+Spectrum+Disorders%22">Autism Spectrum Disorders</searchLink><br /><searchLink fieldCode="DE" term="%22Students+with+Disabilities%22">Students with Disabilities</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Development%22">Student Development</searchLink><br /><searchLink fieldCode="DE" term="%22Developmental+Delays%22">Developmental Delays</searchLink><br /><searchLink fieldCode="DE" term="%22Cognitive+Development%22">Cognitive Development</searchLink><br /><searchLink fieldCode="DE" term="%22Short+Term+Memory%22">Short Term Memory</searchLink><br /><searchLink fieldCode="DE" term="%22Growth+Models%22">Growth Models</searchLink><br /><searchLink fieldCode="DE" term="%22Resilience+%28Psychology%29%22">Resilience (Psychology)</searchLink><br /><searchLink fieldCode="DE" term="%22Achievement+Gains%22">Achievement Gains</searchLink><br /><searchLink fieldCode="DE" term="%22Achievement+Gap%22">Achievement Gap</searchLink><br /><searchLink fieldCode="DE" term="%22Early+Intervention%22">Early Intervention</searchLink><br /><searchLink fieldCode="DE" term="%22Progress+Monitoring%22">Progress Monitoring</searchLink><br /><searchLink fieldCode="DE" term="%22Age+Differences%22">Age Differences</searchLink><br /><searchLink fieldCode="DE" term="%22Developmental+Stages%22">Developmental Stages</searchLink> – Name: DOI Label: DOI Group: ID Data: 10.1007/s10803-023-05960-5 – Name: ISSN Label: ISSN Group: ISSN Data: 0162-3257<br />1573-3432 – Name: Abstract Label: Abstract Group: Ab Data: While working memory (WM) is a powerful predictor for children's school outcomes, autistic children are more likely to experience delays. This study compared autistic children and their neurotypical peers' WM development over their elementary school years, including relative growth and period of plasticity. Using a nationally-representative dataset, latent growth models were built to examine periods of high plasticity and the relationship between children's performance upon school entry and their relative growth. While both groups made steeper gains during the early school years, autistic children's period of highest plasticity was prolonged by 1 year, which suggests a larger window for interventions. Further, autistic children who started kindergarten with poorer WM were more likely to make rapid growth during the last 3 years of elementary school, which is when their neurotypical peers' development started to plateau. Findings should prompt various stakeholders to examine interventions and instructions to maximize autistic children's growth in WM. Further, the continued support and monitoring by educators throughout autistic children's late childhood can be particularly beneficial for the "late-bloomers." – Name: AbstractInfo Label: Abstractor Group: Ab Data: As Provided – Name: DateEntry Label: Entry Date Group: Date Data: 2025 – Name: AN Label: Accession Number Group: ID Data: EJ1464231 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10803-023-05960-5 Languages: – Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1537 Subjects: – SubjectFull: Elementary School Students Type: general – SubjectFull: Autism Spectrum Disorders Type: general – SubjectFull: Students with Disabilities Type: general – SubjectFull: Student Development Type: general – SubjectFull: Developmental Delays Type: general – SubjectFull: Cognitive Development Type: general – SubjectFull: Short Term Memory Type: general – SubjectFull: Growth Models Type: general – SubjectFull: Resilience (Psychology) Type: general – SubjectFull: Achievement Gains Type: general – SubjectFull: Achievement Gap Type: general – SubjectFull: Early Intervention Type: general – SubjectFull: Progress Monitoring Type: general – SubjectFull: Age Differences Type: general – SubjectFull: Developmental Stages Type: general Titles: – TitleFull: Brief Report: Longitudinal Trajectory of Working Memory in School-Aged Children on the Autism Spectrum: Period of High Plasticity and 'Late Bloomers' Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sohyun An Kim – PersonEntity: Name: NameFull: Connie Kasari IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 0162-3257 – Type: issn-electronic Value: 1573-3432 Numbering: – Type: volume Value: 55 – Type: issue Value: 4 Titles: – TitleFull: Journal of Autism and Developmental Disorders Type: main |
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