E-Book, Englisch, 187 Seiten, Web PDF
Fisher / McDonald / Birnbaum Fixed Effects Analysis of Variance
1. Auflage 2014
ISBN: 978-1-4832-1786-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 187 Seiten, Web PDF
ISBN: 978-1-4832-1786-4
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Fixed Effects Analysis of Variance;4
3;Copyright Page;5
4;Table of Contents;8
5;Dedication;6
6;PREFACE;12
7;ACKNOWLEDGMENTS;14
8;CHAPTER 1. INTRODUCTION;16
9;CHAPTER 2. THE t-TEST;19
9.1;SUMMARY;29
9.2;PROBLEMS;30
10;CHAPTER 3. TWO-SAMPLE t-TEST;36
10.1;SUMMARY;46
10.2;PROBLEMS;47
11;CHAPTER 4. THE k-SAMPLE COMPARISON OF MEANS (ONE-WAY ANALYSIS OF VARIANCE);51
11.1;SUMMARY AND GENERALIZATION;57
11.2;PROBLEMS;58
12;CHAPTER 5. THE BALANCED TWO-WAY FACTORIAL DESIGN WITHOUT INTERACTION;64
12.1;SUMMARY;76
12.2;PROBLEMS;77
13;CHAPTER 6. ESTIMATION AND MORE ON FACTORIAL DESIGNS;82
13.1;SUMMARY;95
13.2;PROBLEMS;96
14;CHAPTER 7. THE LATIN SQUARE;103
14.1;PROBLEMS;110
15;CHAPTER 8. CONFIDENCE SETS, SIMULTANEOUS CONFIDENCE INTERVALS, AND MULTIPLE COMPARISONS;113
15.1;ONE-DIMENSIONAL CASE;113
15.2;MULTIDIMENSIONAL CASE;114
15.3;SIMULTANEOUS CONFIDENCE INTERVALS USING BONFERRONI'S INEQUALITY;116
15.4;THE S METHOD OF SIMULTANEOUS CONFIDENCE INTERVALS;118
15.5;T-METHOD SIMULTANEOUS CONFIDENCE INTERVALS;121
15.6;SUMMARY;127
15.7;PROBLEMS;129
16;CHAPTER 9. ORTHOGONAL AND NONORTHOGONAL DESIGNS, EFFICIENCY;132
16.1;SUMMARY;138
16.2;PROBLEMS;139
17;CHAPTER 10. MULTIPLE REGRESSION ANALYSIS AND RELATED MATTERS;140
17.1;REGRESSION ANALYSIS;140
17.2;MULTIPLE REGRESSION;149
17.3;PARTIAL CORRELATION;158
17.4;PROBLEMS;159
18;APPENDIX 1: REVIEW OF LINEAR ALGEBRA AND VECTOR SPACE THEORY;162
19;APPENDIX 2: TABLES OF STATISTICAL DISTRIBUTIONS;174
19.1;TABLE 1. Critical Values for the t- and Normal Distributions;175
19.2;TABLE 2. Critical Values for the F-Distribution;177
19.3;TABLE 3. Critical Values of the Studentized Range from a Normal Distribution;183
20;INDEX;186
