MacCallum Robert C, Browne Michael W, Cai Li
University of North Carolina at Chapel Hill, Department of Psychology, Chapel Hill, NC 27599-3270, USA.
Psychol Methods. 2006 Mar;11(1):19-35. doi: 10.1037/1082-989X.11.1.19.
For comparing nested covariance structure models, the standard procedure is the likelihood ratio test of the difference in fit, where the null hypothesis is that the models fit identically in the population. A procedure for determining statistical power of this test is presented where effect size is based on a specified difference in overall fit of the models. A modification of the standard null hypothesis of zero difference in fit is proposed allowing for testing an interval hypothesis that the difference in fit between models is small, rather than zero. These developments are combined yielding a procedure for estimating power of a test of a null hypothesis of small difference in fit versus an alternative hypothesis of larger difference.
对于比较嵌套协方差结构模型，标准程序是对拟合差异进行似然比检验，其原假设是模型在总体中拟合相同。本文提出了一种确定该检验统计功效的程序，其中效应大小基于模型总体拟合的指定差异。提出了对拟合零差异标准原假设的修正，允许检验模型之间拟合差异较小而非零的区间假设。将这些进展结合起来，得到了一种估计拟合差异小的原假设与差异大的备择假设检验功效的程序。
