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020 ▼a 9781392297230
035 ▼a (MiAaPQ)AAI13900473
035 ▼a (MiAaPQ)ucla:18072
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 151
1001 ▼a Christensen, Wendy.
24510 ▼a Nonlinear Multilevel Model Selection Using Information Criteria.
260 ▼a [S.l.]: ▼b University of California, Los Angeles., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 155 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 80-12, Section: B.
500 ▼a Publisher info.: Dissertation/Thesis.
500 ▼a Advisor: Krull, Jennifer L.
5021 ▼a Thesis (Ph.D.)--University of California, Los Angeles, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a Multilevel modeling is a common approach to modeling longitudinal change in behavioral sciences. While many researchers use linear functional forms to model change across time, researchers sometimes anticipate nonlinear change. In such cases, researchers often fit polynomial functional forms, such as quadratic or cubic forms. Polynomial functional forms are suitable in many situations, but there are other functional forms that could potentially better match the researcher's theory about the nature of the longitudinal change. "Truly" nonlinear models, such as exponential and logistic models, have been used to model biological phenomena and may also be useful for psychological research. Such models, however, are non-nested, meaning that likelihood ratio tests cannot be used to select among models if one or more truly nonlinear models are in the candidate model set. Information criteria offer a flexible framework for model selection that can accommodate truly nonlinear models, but there currently is no research directly exploring the ability of information criteria to select truly nonlinear multilevel models. In this dissertation, two Monte Carlo simulation studies were conducted to examine the performance of two frequently used information criteria: AIC and BIC. The goal of the first study was to examine their ability to select unconditional models with correctly specified nonlinear functional forms. Higher L1 and L2 sample sizes, a higher ICC, and greater distinction between nonlinear functional forms generally improved correct model selection rates, but BIC appeared to be better than AIC when identifying more distinct nonlinear functional forms and AIC appeared to be better when the forms were less distinct. The goal of the second study was to examine the ability of AIC and BIC to select a model with a "more correct" predictor set when the underlying functional form was truly nonlinear. In many cases, information criteria were able to identify models determined to be more correct, but no clear pattern emerged between AIC and BIC. Finally, the utility of truly nonlinear functional forms was demonstrated in two behavioral health applications, both of which contained substantively interesting nonlinear trends that would have been missed if analysis had been limited to the linear functional form.
590 ▼a School code: 0031.
650 4 ▼a Statistics.
650 4 ▼a Quantitative psychology.
690 ▼a 0463
690 ▼a 0632
71020 ▼a University of California, Los Angeles. ▼b Psychology.
7730 ▼t Dissertations Abstracts International ▼g 80-12B.
773 ▼t Dissertation Abstract International
790 ▼a 0031
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15492193 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1008102
991 ▼a E-BOOK