Lüpsen, Haiko
(2026).
Varianzanalysen - Prüfen der Voraussetzungen und nichtparametrische Methoden sowie praktische Anwendungen mit R und SPSS, Version 6.0.
Technical Report.
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Abstract
Die Voraussetzungen der parametrischen 1- und mehrfaktoriellen Varianzanalyse, mit und ohne Messwiederholungen, werden besprochen. Ferner werden eine Reihe von alternativen Verfahren vorgestellt, insbesondere einige nichtparametrische, darunter RT (rank transform), INT (inverse normal transform), ART (aligned rank transform), Puri & Sen (L statistic), van der Waerden und Akritas & Brunner (ATS anova type statistic), die sich auf die parametrische Varianzanalyse zurückführen lassen, robuste Methoden wie Huynh's IGA, Welch & James, modified Brown & Forysythe, sowie dichotome und ordinale logistische Regression, als auch generalized linear models (GEE und GLMM) als Verallgemeinerungen für gemischte Versuchspläne. Hierzu werden Lösungen mit R und SPSS ausführlich gezeigt.
| Item Type: | Monograph (Technical Report) |
| Translated title: | Title Language Analyses of Variance - Checking assumptions and nonparametric methods as well as applications with R and SPSS, version 6 English |
| Translated abstract: | Abstract Language The assumptions of the parametric one- and multifactorial anova, with and without repeated measurements, are discussed. A number of alternative procedures are presented, especially some nonparametric anovas, among others RT (rank transform), INT (inverse normal transform), ART (aligned rank transform), Puri & Sen (L statistic), van der Waerden and Akritas & Brunner (ATS anova type statistic), which can be reduced to the parametric anova, robust methods as Huynh's IGA, Welch & James, modified Brown & Forysythe, as well as the dichotomous and polychotomous logistic regression, also generalized linear models (GEE und GLMM) for mixed designs. Solutions with R and SPSS are offered and discussed. English |
| Creators: | Creators Email ORCID ORCID Put Code Lüpsen, Haiko luepsen@uni-koeln.de UNSPECIFIED UNSPECIFIED |
| Corporate Creators: | ITCC, Universität zu Köln |
| URN: | urn:nbn:de:hbz:38-805694 |
| Number of Pages: | 326 |
| Date: | May 2026 |
| Language: | German |
| Faculty: | Faculty of Mathematics and Natural Sciences |
| Divisions: | ITCC |
| Subjects: | General statistics |
| Uncontrolled Keywords: | Keywords Language Statistik, Varianzanalyse, nichtparametrisch, R, SPSS German statistics, analysis of variance, nonparametric, R, SPSS English |
| Refereed: | Yes |
| URI: | http://kups.ub.uni-koeln.de/id/eprint/80569 |
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