https://scholars.lib.ntu.edu.tw/handle/123456789/631159
標題: | Brief Research Report: Effects of Sampling Error and Categorization on Estimation of Measure of Sampling Adequacy | 作者: | Lee, Hsin Yun Chen, You Lin LI-JEN WENG |
關鍵字: | Factor analysis | KMO | measure of sampling adequacy | ordered categorical data | polychoric correlations | 公開日期: | 1-一月-2023 | 出版社: | ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD | 來源出版物: | Journal of Experimental Education | 摘要: | The second version of Kaiser’s Measure of Sampling Adequacy (MSA2) has been widely applied to assess the factorability of data in psychological research. The MSA2 is developed in the population and little is known about its behavior in finite samples. If estimated MSA2s are biased due to sampling errors, misleading inferences on the factorability of data are likely to occur. This study investigates the effect of sampling error on MSA2 estimation by systematically examining the accuracy and fluctuations of MSA2 estimates with simulated continuous and ordered categorical data. Features manipulated included the number of factors, number of variables per factor, factor loading, inter-factor correlations, sample size, number of response categories, skewness of variables, and types of correlation analyzed, Pearson and polychoric correlations. Results revealed that the MSA2s were underestimated due to the effect of sampling error. Severely biased MSA2 occurred when analyzing a large number of weakly correlated variables with insufficient participants. The underestimation of MSA2 became worse with categorized data. Polychoric correlations yielded slightly more accurate but relatively unstable MSA2 estimates compared to Pearson correlations. In practice, researchers need to bear in mind the downward bias of MSA2 estimates and interpret the value of sample MSA2s with caution. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/631159 | ISSN: | 00220973 | DOI: | 10.1080/00220973.2023.2196672 |
顯示於: | 心理學系 |
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