product iamge

Important Applications of the Behrens-Fisher Statistic and the False Discovery Rate

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

This book discusses important applications of the Behrens-Fisher statistic and the False Discovery Rate (FDR). Covered applications include ANOVA and MANOVA under potentially non-normal errors and heteroscedasticity; and an intuitive method of analyzing s x r contingency tables when the column variable is ordinal. This book also explores the novel possibility that these applications may be deemed nonparametric.

Author(s): Tejas A. Desai
Series: SpringerBriefs in Statistics
Publisher: Springer
Year: 2022

Language: English
Pages: 87
City: Cham

Contents
1 The Behrens-Fisher Statistic
References
2 One-Way ANOVA with Possible Heteroscedasticity of Variances and Non-Normality of Errors
2.1 The One-Way ANOVA Problem and the Behrens-Fisher Statistic
2.2 Our Methodology for One-Way ANOVA When k≥3
2.3 The Classical ANOVA F Test
2.4 The Kruskal-Wallis Test
2.5 Comparative Analyses for One-Way ANOVA
References
3 One-Way MANOVA with Possible Heteroscedasticity and Non-Normality of Errors
3.1 The One-Way MANOVA Problem and Our Methodology For It
3.2 The Classical Wilks' Lambda
3.3 A Robust Statistic for One-Way MANOVA
3.4 Comparative Analyses for One-Way MANOVA
3.5 Data Analysis Example: The Oslo Transect Data
References
4 Statistical Analysis of s r Tables When the Column Variable Is Ordinal
4.1 Methodology for a Single 2 r Table
4.2 Simulations for a Single 2 r Table
4.3 Example of a Behrens-Fisher Analysis of a Single 2 r Table
4.4 Sets of 2 r Tables
4.4.1 Methodology
4.4.2 Simulations of Sets of 2 r Tables
4.4.3 Example of an Analysis of a Set of Two 2 r Tables
4.5 Behrens-Fisher Analysis of s r Tables, s ≥ 3 and Column Variable Ordinal
4.5.1 A Single s r Table When s ≥ 3 and Column Variable Ordinal
4.5.2 Simulations of a Single Set of s r Table, s > 2 and Column Variable Ordinal
4.5.3 Simulations of More Than One s r Table, s > 2, and Column Variable Ordinal
4.5.4 Example of an Analysis of a 3 3 Table When the Column Variable Is Ordinal
References
5 Concluding Remarks