Generalized semiparametrically structured ordinal models

Tutz, Gerhard (2001): Generalized semiparametrically structured ordinal models. Sonderforschungsbereich 386, Discussion Paper 250

Abstract

Semiparametrically structured models are defined as a class of models for which the predictors may contain parametric parts, additive parts of covariates with an unspecified functional form and interactions which are described as varying coefficients. In the case of an ordinal response the complexity of the predictor is determined by different sorts of effects. It is distinguished between global effects and category-specific effects where the latter allow that the effect varies across response categories. A general framework is developed in which global as well as category-specific effects may have unspecified functional form. The framework extends various existing methods of modeling ordinal responses. The Wilcoxon-Rogers notation is extended to incorporate smooth model parts and varying coefficient terms, the latter being important for the smooth specification of category-specific effects.

• Dokumententyp: Paper
• Keywords: Semiparametric model, ordinal regression, proportional odds model, varying coefficients, category-specific effects
• Fakultät: Mathematik, Informatik und Statistik > Statistik > Sonderforschungsbereich 386 ; Sonderforschungsbereiche > Sonderforschungsbereich 386
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Sprache: Englisch