IMPROPER SOLUTIONS IN THE ANALYSIS OF COVARIANCE-STRUCTURES - THEIR INTERPRETABILITY AND A COMPARISON OF ALTERNATE RESPECIFICATIONS
IMPROPER SOLUTIONS IN THE ANALYSIS OF COVARIANCE-STRUCTURES - THEIR INTERPRETABILITY AND A COMPARISON OF ALTERNATE RESPECIFICATIONS
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DOI：
10.1007/bf02293958
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发表时间：
1987-03-01
期刊：
影响因子：
3
通讯作者：
ANDERSON, JC
中科院分区：
文献类型：
--
作者：
GERBING, DW;ANDERSON, JC
采用蒙特卡罗方法来研究最大似然验证性因子分析中抽样误差引起的不正确解的可解释性。使用两种样本量研究了四个模型。在 LISREL VI 程序提供的总体拟合优度指数中，仅在均方根残差方面发现不正确解和正确解之间存在显着差异。正如预期的那样，发生负唯一性估计的因子指标存在有偏差的载荷，并且其因子与其他因子的相关性也有偏差。相比之下，其他因素的指标载荷以及这些因素的相互相关性则没有任何实际意义的偏差。对于具有负唯一性估计的初始解决方案，研究了三种重新指定：将唯一性固定在 0.00、将其固定在 0.20，或将解决方案的域限制为适当的。对于收敛且正确的替代的、重新指定的解，约束解和固定在 0.00 解的唯一性是等效的。原始不正确解决方案的平均拟合优度和模式系数值与在固定为 0.00 重新指定的约束和唯一性下获得的值没有显着差异。
A Monte Carlo approach was employed to investigate the interpretability of improper solutions caused by sampling error in maximum likelihood confirmatory factor analysis. Four models were studied with two sample sizes. Of the overall goodness-of-fit indices provided by the LISREL VI program significant differences between improper and proper solutions were found only for the root mean square residual. As expected, indicators of the factor on which the negative uniqueness estimate occurred had biased loadings, and the correlations of its factor with other factors were also biased. In contrast, the loadings of indicators on other factors and those factor intercorrelations did not have any bias of practical significance. For initial solutions with one negative uniqueness estimate, three respecifications were studied: Fix the uniqueness at .00, fix it at .20, or constrain the domain of the solution to be proper. For alternate, respecified solutions that were converged and proper, the constrained solutions and uniqueness fixed at .00 solutions were equivalent. The mean goodness-of-fit and pattern coefficient values for the original improper solutions were not meaningfully different from those obtained under the constrained and uniqueness fixed at .00 respecifications.