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Showing papers by "T. W. Anderson published in 1954"


Journal ArticleDOI
TL;DR: The Kolmogorov test as discussed by the authors is a distribution-free test of goodness of fit that is sensitive to discrepancies at the tails of the distribution rather than near the median.
Abstract: Some (large sample) significance points are tabulated for a distribution-free test of goodness of fit which was introduced earlier by the authors. The test, which uses the actual observations without grouping, is sensitive to discrepancies at the tails of the distribution rather than near the median. An illustration is given, using a numerical example used previously by Birnbaum in illustrating the Kolmogorov test.

2,013 citations


Journal ArticleDOI
TL;DR: In this paper, the latent structure model is used to estimate the proportions of the population in each latent class and the probabilities of positive responses to each item for individuals in each class from knowledge of the probabilities for positive responses for individuals from the population as a whole.
Abstract: The latent structure model considered here postulates that a population of individuals can be divided intom classes such that each class is “homogeneous” in the sense that for the individuals in the class the responses toN dichotomous items or questions are statistically independent. A method is given for deducing the proportions of the population in each latent class and the probabilities of positive responses to each item for individuals in each class from knowledge of the probabilities of positive responses for individuals from the population as a whole. For estimation of the latent parameters on the basis of a sample, it is proposed that the same method of analysis be applied to the observed data. The method has the advantages of avoiding implicitly defined and unobservable quantities, and of using relatively simple computational procedures of conventional matrix algebra, but it has the disadvantages of using only a part of the available information and of using that part asymmetrically.

104 citations