Optimal scaling for arbitrarily ordered categories

DOI10.1007/BF02480269zbMath0454.62065MaRDI QIDQ1149715

Yutaka Tanaka

Publication date: 1979

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmoptimal scalingreduced gradient methodarbitrarily ordered categories

Mathematics Subject Classification ID

Nonlinear programming (90C30) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (4)

A method of optimal scaling for multivariate ordinal data and its extensions ⋮ A hierarchical active constraints search algorithm for optimal scaling of ordered categorical responses ⋮ A solution to multiple linear regression problems with ordered attributes ⋮ Asymptotic distribution of inequality-restricted canonical correlation with application to tests for independence in ordered contingency tables

Cites Work

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• Some generalized methods of optimal scaling and their asymptotic theories: the case of multiple responses-multiple factors
• Nonlinear programming approach to optimal scaling of partially ordered categories
• On the prediction of phenomena from qualitative data and the quantification of qualitative data from the mathematico-statistical point of view

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