1996
DOI: 10.1037/1082-989x.1.2.130
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Power analysis and determination of sample size for covariance structure modeling.

Abstract: A framework for hypothesis testing and power analysis in the assessment of fit of covariance structure models is presented. We emphasize the value of confidence intervals for fit indices, and we stress the relationship of confidence intervals to a framework for hypothesis testing. The approach allows for testing null hypotheses of not-good fit, reversing the role of the null hypothesis in conventional tests of model fit, so that a significant result provides strong support for good fit. The approach also allow… Show more

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Cited by 7,857 publications
(5,400 citation statements)
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References 24 publications
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“…Thus, values of .90 or above for the comparative fit index (CFI) and Tucker-Lewis index (TLI), of .08 or below for the root mean square error of approximation (RMSEA), and of .10 or below for the standardized root mean square residual (SRMR) suggest an acceptable fit of the model (Bentler, 1990;Marsh, Hau, & Wen, 2004). For the RMSEA 90% CI, values below .05 for the lower bound and below .08 for the upper bound suggest acceptable fit (MacCallum, Browne, & Sugawara, 1996). For the assessment of change in model fit tests, the Satorra-Bentler scaled chi-square test (Satorra, 2000) was computed.…”
Section: Data Analysesmentioning
confidence: 99%
“…Thus, values of .90 or above for the comparative fit index (CFI) and Tucker-Lewis index (TLI), of .08 or below for the root mean square error of approximation (RMSEA), and of .10 or below for the standardized root mean square residual (SRMR) suggest an acceptable fit of the model (Bentler, 1990;Marsh, Hau, & Wen, 2004). For the RMSEA 90% CI, values below .05 for the lower bound and below .08 for the upper bound suggest acceptable fit (MacCallum, Browne, & Sugawara, 1996). For the assessment of change in model fit tests, the Satorra-Bentler scaled chi-square test (Satorra, 2000) was computed.…”
Section: Data Analysesmentioning
confidence: 99%
“…Based on root-mean-square error of approximation (47) , power was set at 80 % with an a level of 0?05. To achieve this level of power 208 participants were needed.…”
Section: Participantsmentioning
confidence: 99%
“…The second model-selection statistic was the comparative fit index (CFI), in which values greater than .95 are indicative of good-fitting models (Hu & Bentler, 1999). The third model-selection statistic was the root-mean-square error of approximation (RMSEA), which is an index of the model discrepancy, per degree of freedom, from the observed covariance structure (MacCallum, Browne, & Sugawara, 1996). Values less then .05 indicate close fit to the data, and values less than .08 indicate fair fit to the data (Browne & Cudeck, 1993).…”
Section: What Is the Genetic And Environmental Architecture Of Iq Andmentioning
confidence: 99%