Browsing by Author "Kaiser, Henry F."

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    Contributions to the method of paired comparisons
    (1978) Kaiser, Henry F.; Serlin, Ronald C.
    A least-squares solution for the method of paired comparisons is given. The approach provokes a theorem regarding the amount of data necessary and sufficient for a solution to be obtained. This theorem establishes that it is possible to find a solution when there is a great deal of missing data. A measure of the internal consistency of the least-squares fit is developed. It is indicated that the method of paired comparisons need not be applied only to data obtained experimentally from the law of comparative judgment; indeed, an example (rating university football teams) involving observational data is worked out.
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    Some contrasts between maximum likelihood factor analysis and alpha factor analysis
    (1990) Kaiser, Henry F.; Derflinger, Gerhard
    The fundamental mathematical model of Thurstone’s common factor analysis is reviewed. The basic covariance matrices of maximum likelihood factor analysis (MLFA) and alpha factor analysis (AFA) are presented. Putting aside the principles on which they are based, these two methods are compared in terms of a number of computational and scaling contrasts following from the application of their respective developments. The paper concludes with a discussion of the number-of-factors problem, the weighting problem in MLFA and AFA, and possible bases for a choice between the two. Index terms: alpha factor analysis, common factor analysis, maximum likelihood factor analysis, number of common factors, scaling and weighting in common factor analysis.