ERIC Number: ED072045
Record Type: Non-Journal
Publication Date: 1972-Mar
Pages: 22
Abstractor: N/A
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Some Notes on the Choice of Measure of Association for the Component Analysis of Likert Scale Data.
Keown, Lauriston L.; Hakstian, A. Ralph
This study involved an investigation of the use of Pearson r, tetrachoric r, phi, phi/phi maximum, and Kendall Tau-B coefficients as measures of association for the incomplete principal components analysis of simulated Likert scale attitudinal data, based on a known factor pattern and possessing different types of severe departures from normality. The results suggested that in addition to being based on few assumptions, Tau-B was most robust, with respect to distributional distortion, with large or small samples, and this coefficient was followed by the Pearson r. The measures based on 2 x 2 tables--tetrachoric r, phi, and phi/phi maximum--tended to be less robust and were seen to be adversely affected by uneven marginal splits, a condition generally present with Likert scale data. (Author)
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Authoring Institution: Alberta Univ., Edmonton. Div. of Educational Research.
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