Functioning of global fit statistics in latent ...

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Functioning of global fit statistics in latent growth curve modeling

Name:Personal
DeRoche, Kathryn K.
Role :Text(marcrelator)
creator

Name:Personal
Hutchinson, Susan R.
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thesis advisor

Name:Personal
Gilliam, David
Role :Text
committee member

Name:Personal
Rue, Lisa
Role :Text
committee member

Name:Personal
Welsh, Marilyn
Role :Text
committee member

Name:Corporate
Applied Statistics & Research Methods
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sponsor

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University of Northern Colorado
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degree grantor

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Thesis
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University of Northern Colorado
(keyDate="yes")
2009-12
Place :Text
Greeley (Colo.)

2009-12


Language :Text
English

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165 pages

born digital

abstract
Latent growth curve (LGC) modeling is emerging as a preferred method of longitudinal analysis, which uses the structural equation modeling (SEM) framework to demonstrate growth or change (Meredith & Tisak, 1990). The purpose of this dissertation was to examine the performance of commonly utilized measures of model fit in LGC modeling data environments. A Monte Carlo simulation was conducted to examine the influence of LGC modeling design characteristics (i.e., sample size, waves of data, and model complexity) on selected fit indexes (i.e., x², NNFI, CFI, and RMSEA) estimated in correct LGC models. The CFI performed the best, followed by the NNFI, x², and finally, the RMSEA showed the least desirable characteristics. The RMSEA was found to over-reject correct models (i.e., suggest poor model fit) in conditions of small to moderate sample size (N = 1,000) and few waves of data. The x² over-rejected correct multivariate models with more waves of data and small sample sizes (N = 100). The NNFI over-rejected unvariate and multivariate models with small sample size (N = 100) and three waves of data. Six guidelines were proposed for LGC modeling researchers, including: maximizing the chance of obtaining a plausible solutions, cautioning the use of the x², adopting the novel LGC modeling cutoff values, using multiple fit indexes, and assessing the within-person fit. As LGC modeling applications escalate in the social and behavioral sciences, there is a critical need for additional research regarding LGC model fit, specifically, the sensitivity of fit indexes to relevant types of LGC model misspecification.
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[Released from 1 year embargo]
Subject
Statistics

Quantitative Psychology

fit indexes

fit statistics

latent growth curve modeling

longitudinal modeling

structural equation modeling

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Ph.D.

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doctoral

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DeRoche_unco_0161N_10021.pdf
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http://hdl.handle.net/10176/cogru:266

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English
:Code(ISO639-2B)
eng

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note:thesis(displayLabel="Degree Type")
PhD
note:thesis(displayLabel="Degree Name")
doctoral
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Subject Name:Personal

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