Component analysis provides an attractive alternative to factor analysis, since component scores are easily determined while factor scores can only be estimated. Although the literature contains methods of finding component scores, intuitively reasonable but incorrect methods are commonly used to calculate component scores. This paper presents not only the correct method of determining component scores but, more importantly, also presents several illustrations of how commonly used incorrect methods distort the meaning of the component solution.
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Silas Halperin (1976) studied this question.
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