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Fixed effects analysis of variance
Title:
Fixed effects analysis of variance
Author:
Fisher, Lloyd, 1939-
ISBN:
9781483217864
Personal Author:
Publication Information:
New York : Academic Press, 1978.
Physical Description:
1 online resource (xiii, 177 pages)
Series:
Probability and mathematical statistics
Probability and mathematical statistics.
Contents:
Front Cover; Fixed Effects Analysis of Variance; Copyright Page; Dedication; Table of Contents; PREFACE; ACKNOWLEDGMENTS; CHAPTER 1. INTRODUCTION; CHAPTER 2. THE t-TEST; SUMMARY; PROBLEMS; CHAPTER 3. TWO-SAMPLE t-TEST; SUMMARY; PROBLEMS; CHAPTER 4. THE k-SAMPLE COMPARISON OF MEANS (ONE-WAY ANALYSIS OF VARIANCE); SUMMARY AND GENERALIZATION; PROBLEMS; CHAPTER 5. THE BALANCED TWO-WAY FACTORIAL DESIGN WITHOUT INTERACTION; SUMMARY; PROBLEMS; CHAPTER 6. ESTIMATION AND MORE ON FACTORIAL DESIGNS; SUMMARY; PROBLEMS; CHAPTER 7. THE LATIN SQUARE; PROBLEMS.
Chapter 8. confidence sets, simultaneous confidence intervals, and multiple comparisonsone-dimensional case; multidimensional case; simultaneous confidence intervals using bonferroni's inequality; the s method of simultaneous confidence intervals; t-method simultaneous confidence intervals; summary; problems; chapter 9. orthogonal and nonorthogonal designs, efficiency; summary; problems; chapter 10. multiple regression analysis and related matters; regression analysis; multiple regression; partial correlation; problems; appendix 1: review of linear algebra and vector space theory.
APPENDIX 2: TABLES OF STATISTICAL DISTRIBUTIONSTABLE 1. Critical Values for the t- and Normal Distributions; TABLE 2. Critical Values for the F-Distribution; TABLE 3. Critical Values of the Studentized Range from a Normal Distribution; INDEX.
Abstract:
Fixed Effects Analysis of Variance covers the mathematical theory of the fixed effects analysis of variance. The book discusses the theoretical ideas and some applications of the analysis of variance. The text then describes topics such as the t-test; two-sample t-test; the k-sample comparison of means (one-way analysis of variance); the balanced two-way factorial design without interaction; estimation and factorial designs; and the Latin square. Confidence sets, simultaneous confidence intervals, and multiple comparisons; orthogonal and nonorthologonal designs; and multiple regression analysis and related matters are also encompassed. Mathematicians, statisticians, and students taking related courses will find the book useful.
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Electronic Access:
ScienceDirect https://www.sciencedirect.com/science/book/9780122573507Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA279 | 1177658-1001 | Elsevier E-Book Collections | Searching... |
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