The Analysis of VarianceJohn Wiley & Sons, 5 mar 1999 - 496 Originally published in 1959, this classic volume has had a major impact on generations of statisticians. Newly issued in the Wiley Classics Series, the book examines the basic theory of analysis of variance by considering several different mathematical models. Part I looks at the theory of fixed-effects models with independent observations of equal variance, while Part II begins to explore the analysis of variance in the case of other models. |
Spis treści
1 | 3 |
6 | 20 |
4 | 31 |
8 | 41 |
4 | 83 |
THE COMPLETE TWO THREE AND HIGHERWAY LAYOUTS | 90 |
in the Case of Models | 101 |
1 | 139 |
9 | 290 |
1 | 331 |
of Equal Variance | 343 |
More on the effects of inequality of variance | 351 |
6 | 360 |
APPENDICES PAGE | 412 |
Cochrans theorem | 419 |
STUDENTIZED RANGE TABLES | 434 |
LATIN SQUARES INCOMPLETE BLOCKS | 147 |
THE ANALYSIS OF COVARIANCE | 198 |
CHAPTER | 221 |
8 | 261 |
with Fixed Effects | 274 |
FOX CHARTS FOR THE POWER OF THE FTEST | 446 |
AUTHOR INDEX AND BIBLIOGRAPHY | 457 |
| 467 | |
| 468 | |
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a₁ analysis of variance approximation assume b₁ Biometrika blocks c₁ calculated columns concomitant variables confidence interval consider constant corresponding covariance matrix defined Definition denote derived E. S. Pearson E(MS ellipsoid equal variances error SS estimable functions example expected value experiment F-test factor fixed-effects model formulas hence hypothesis H interactions kind permission Latin square Lemma linear combination linear forms linear functions linearly independent LS estimates main effects mean squares noncentrality parameter nonnormality nonsingular normal-theory notation numbers of d.f. observation per cell obtained one-way layout orthogonal permutation test population probability problem quadratic form random variables random-effects random-effects models rank rejecting H result rows S-method sample side conditions space SS's SSAB statistic F statistically independent subscripts sum of squares Suppose Table Theorem theory tion transformation two-way layout type-I error unbiased estimate v₁ vector y₁ σ²