PMID- 21341916 OWN - NLM STAT- MEDLINE DCOM- 20111216 LR - 20211020 IS - 1939-1463 (Electronic) IS - 1082-989X (Print) IS - 1082-989X (Linking) VI - 16 IP - 2 DP - 2011 Jun TI - Quantified choice of root-mean-square errors of approximation for evaluation and power analysis of small differences between structural equation models. PG - 116-26 LID - 10.1037/a0022657 [doi] AB - MacCallum, Browne, and Cai (2006) proposed a new framework for evaluation and power analysis of small differences between nested structural equation models (SEMs). In their framework, the null and alternative hypotheses for testing a small difference in fit and its related power analyses were defined by some chosen root-mean-square error of approximation (RMSEA) pairs. In this article, we develop a new method that quantifies those chosen RMSEA pairs and allows a quantitative comparison of them. Our method proposes the use of single RMSEA values to replace the choice of RMSEA pairs for model comparison and power analysis, thus avoiding the differential meaning of the chosen RMSEA pairs inherent in the approach of MacCallum et al. (2006). With this choice, the conventional cutoff values in model overall evaluation can directly be transferred and applied to the evaluation and power analysis of model differences. CI - (c) 2011 American Psychological Association FAU - Li, Libo AU - Li L AD - UCLA Integrated Substance Abuse Programs, 1640 South Sepulveda Boulevard, uite 200, Los Angeles, CA 90025, USA. lilibo@ucla.edu FAU - Bentler, Peter M AU - Bentler PM LA - eng GR - K05 DA000017/DA/NIDA NIH HHS/United States GR - P30 DA016383-01A1/DA/NIDA NIH HHS/United States GR - DA01070/DA/NIDA NIH HHS/United States GR - P30 DA016383/DA/NIDA NIH HHS/United States GR - DA00017/DA/NIDA NIH HHS/United States GR - K05 DA000017-17/DA/NIDA NIH HHS/United States GR - P01 DA001070-26/DA/NIDA NIH HHS/United States GR - R01 DA000017/DA/NIDA NIH HHS/United States GR - P01 DA001070/DA/NIDA NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural PL - United States TA - Psychol Methods JT - Psychological methods JID - 9606928 SB - IM MH - Humans MH - *Models, Psychological MH - *Models, Statistical MH - Psychology/*statistics & numerical data MH - Psychometrics/*statistics & numerical data PMC - PMC3590920 MID - NIHMS271582 EDAT- 2011/02/24 06:00 MHDA- 2011/12/17 06:00 PMCR- 2013/03/07 CRDT- 2011/02/24 06:00 PHST- 2011/02/24 06:00 [entrez] PHST- 2011/02/24 06:00 [pubmed] PHST- 2011/12/17 06:00 [medline] PHST- 2013/03/07 00:00 [pmc-release] AID - 2011-03196-001 [pii] AID - 10.1037/a0022657 [doi] PST - ppublish SO - Psychol Methods. 2011 Jun;16(2):116-26. doi: 10.1037/a0022657.