Author(s): D. V. Lindley
Publisher: CUP
Year: 1965
Language: English
Pages: 306
CONTENTS......Page 7
Preface......Page 9
5.1 Bayes's theorem and the normal distribution......Page 15
5.2 Vague prior knowledge and interval estimates for the normal mean......Page 27
5.3 Interval estimates for the normal variance......Page 40
5.4 Interval estimates for the normal mean and variance......Page 50
5.5 Sufficiency......Page 60
5.6 Significance tests and the likelihood principle......Page 72
Exercises......Page 85
6.1 Comparison of two means......Page 90
6.2 Comparison of two variances......Page 100
6.3 General comparison of two means......Page 105
6.4 Comparison of several means......Page 109
6.5 Analysis of variance: between and within samples......Page 118
6.6 Combination of observations......Page 126
Exercises......Page 136
7.1 The method of maximum likelihood......Page 142
7.2 Random sequences of trials......Page 155
7.3 The Poisson distribution......Page 167
7.4 Goodness-of-fit tests......Page 171
7.5 Goodness-of-fit tests (continued) page......Page 182
7.6 Contingency tables......Page 190
Exercises......Page 199
8.1 Linear homoscedastic normal regression......Page 217
8.2 Correlation coefficient......Page 228
8.3 Linear hypothesis......Page 235
8.4 Computational methods......Page 250
8.5 Two-way classification......Page 260
8.6 Further applications of linear hypothesis theo ry......Page 271
Exercises......Page 284
Appendix. Two-sided tests for the X2-distribution......Page 296
Bibliography......Page 299
Subject Index......Page 301
Index of Notations......Page 306
