Journal of the American Statistical Association · 1972 · 90 citations · 5 references
EngineeringGeneralizability TheoryEducationBivariate GoodmanPsychometricsClassical Test TheoryMultiset Data AnalysisStatistical AnalysisLatent ModelingInformation RetrievalData ScienceData MiningStatistical ComputingApplied MeasurementBiostatisticsFactor AnalysisStatisticsPredictive AnalyticsKnowledge DiscoveryMultidimensional AnalysisLatent Variable ModelModal Search TechniqueFunctional Data AnalysisLogistic RegressionStatistical InferenceMultivariate PredictionLambda StatisticMultivariate Analysis
Abstract A method is proposed in which a statistic, Θ, is used as a probabilistic measure of strength of association in the multivariate prediction of a nominal scale by nominal and/or ordinal scales. The relationship of theta to the bivariate Goodman and Kruskal's Lambda statistic is given. An algorithm using the theta statistic as criterion in an exhaustive search and optimal stepwise binary split procedure is described. A computer program and sample results are discussed.
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