Statistical Methods: Connections, Equivalencies, and Relationships, 1st ed. 2023

The primary purpose of this book is to introduce the reader to a wide variety of interesting and useful connections, relationships, and equivalencies between and among conventional and permutation statistical methods. There are approximately 320 statistical connections and relationships described in this book. For each connection or connections the tests are described, the connection is explained, and an example analysis illustrates both the tests and the connection(s). The emphasis is more on demonstrations than on proofs, so little mathematical expertise is assumed. While the book is intended as a stand-alone monograph, it can also be used as a supplement to a standard textbook such as might be used in a second- or third-term course in conventional statistical methods. Students, faculty, and researchers in the social, natural, or hard sciences will find an interesting collection of statistical connections and relationships - some well-known, some more obscure, and some presented here for the first time.

- 1. Introduction. - 2. Statistical Methods. - 3. One-Sample Tests. - 4. Two-Sample Tests. - 5. Matched-Pair Tests. - 6. Completely Randomized Designs. - 7. Randomized-Blocks Designs. - 8. Measures of Interval Association. - 9. Measures of Ordinal Association I. - 10. Measures of Ordinal Association II. - 11. Measures of Nominal Association I. - 12. Measures of Nominal Association II. - 13. Measures of Fourfold Association I. - 14. Measures of Fourfold Association II.

Kenneth J. Berry is Professor Emeritus in the Department of Sociology at Colorado State University. He is the author of eight books and over 190 journal articles, primarily in the areas of statistics and quantitative research methods.

Janis E. Johnston is employed by the U.S. Government and is an Affiliate Faculty member in the Department of Sociology at Colorado State University. She is the author of six books and over 40 journal articles, primarily in the areas of statistics and quantitative research methods.