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Journal ArticleDOI

Comparative fit indexes in structural models

Peter M. Bentler
- 01 Mar 1990 - 
- Vol. 107, Iss: 2, pp 238-246
TLDR
A new coefficient is proposed to summarize the relative reduction in the noncentrality parameters of two nested models and two estimators of the coefficient yield new normed (CFI) and nonnormed (FI) fit indexes.
Abstract
Normed and nonnormed fit indexes are frequently used as adjuncts to chi-square statistics for evaluating the fit of a structural model A drawback of existing indexes is that they estimate no known population parameters A new coefficient is proposed to summarize the relative reduction in the noncentrality parameters of two nested models Two estimators of the coefficient yield new normed (CFI) and nonnormed (FI) fit indexes CFI avoids the underestimation of fit often noted in small samples for Bentler and Bonett's (1980) normed fit index (NFI) FI is a linear function of Bentler and Bonett's non-normed fit index (NNFI) that avoids the extreme underestimation and overestimation often found in NNFI Asymptotically, CFI, FI, NFI, and a new index developed by Bollen are equivalent measures of comparative fit, whereas NNFI measures relative fit by comparing noncentrality per degree of freedom All of the indexes are generalized to permit use of Wald and Lagrange multiplier statistics An example illustrates the behavior of these indexes under conditions of correct specification and misspecification The new fit indexes perform very well at all sample sizes

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Citations
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Peer victimization and depression in early–mid adolescence: A longitudinal study

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A Longitudinal Evaluation of a Social Support Model of Medication Adherence Among HIV-Positive Men and Women on Antiretroviral Therapy

TL;DR: In this paper, a cognitive-affective model of medication adherence based on social support theory and research was proposed for men and women with HIV/AIDS, which was found to be associated with less negative affect and greater spirituality, which were associated with self-efficacy to adhere.
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Psychometric Properties of the Consumer Assessment of Health Plans Study (CAHPS®) 2.0 Adult Core Survey

TL;DR: The five-dimension model of consumer assessments best fits the data among the privately insured; therefore, consumer reports using CAHPS surveys should provide feedback using five composites.
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Evaluating the perceived social impacts of hosting large-scale sport tourism events: scale development and validation

TL;DR: In this paper, the authors developed and tested a multidimensional scale to evaluate the perceived social impacts of a large-scale sport tourism event, which revealed the multi-dimensional nature of perceived social impact and contributed to a better understanding of how local residents view the impacts associated with a large scale sport tourism events.
References
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Journal ArticleDOI

Significance tests and goodness of fit in the analysis of covariance structures

TL;DR: In this article, a general null model based on modified independence among variables is proposed to provide an additional reference point for the statistical and scientific evaluation of covariance structure models, and the importance of supplementing statistical evaluation with incremental fit indices associated with the comparison of hierarchical models.
Journal ArticleDOI

A reliability coefficient for maximum likelihood factor analysis

TL;DR: In this paper, a reliability coefficient is proposed to indicate quality of representation of interrelations among attributes in a battery by a maximum likelihood factor analysis, which can indicate that an otherwise acceptable factor model does not exactly represent the interrelations between the attributes for a population.
Journal ArticleDOI

Model Selection and Akaike's Information Criterion (AIC): The General Theory and Its Analytical Extensions.

TL;DR: In this article, the entropy-based information criterion (AIC) has been extended in two ways without violating Akaike's main principles: CAIC and CAICF, which make AIC asymptotically consistent and penalize overparameterization more stringently.
Journal ArticleDOI

Goodness-of-fit indexes in confirmatory factor analysis : The effect of sample size

TL;DR: In this paper, the influence of sample size on different goodness-of-fit indices used in confirmatory factor analysis (CFA) was examined and the results are consistent with the observation that the amount of random, unexplained variance varies inversely with sample size.
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Is 0.76 is acceptable value of Normal fit index NFI?

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