Simultaneous statistical inference / Rupert G. Miller, Jr.
Series Springer series in statisticsEditor: New York : Springer-Verlag, c1981Edición: 2nd edDescripción: xvi, 299 p. : il. ; 24 cmISBN: 0387905480Tema(s): Mathematical statisticsOtra clasificación: 62F15 (62G05 62J10)Preface to the Second Edition vi Preface to the First Edition vii 1 INTRODUCTION [1] 1 Case of two means [2] 2 Error rates [5] 2.1 Probability of a nonzero family error rate [6] 2.2 Expected family error rate [8] 2.3 Allocation of error [10] 3 Basic techniques [12] 3.1 Repeated normal statistics [12] 3.2 Maximum modulus (Tukey) [14] 3.3 Bonferroni normal statistics [15] 3.4 x2 projections (Scheffe) [16] 3.5 Allocation [22] 3.6 Multiple modulus tests (Duncan) [24] 3.7 Least significant difference test (Fisher) [26] 4 p-mean significance levels [28] 5 Families [31] 2 NORMAL UNIVARIATE TECHNIQUES [37] 1 Studentized range (Tukey) [37] 1.1 Method [37] 1.2 Applications [42] 1.3 Comparison [43] 14 Derivation [44] 1,6 Distributions and tables [47] F projections (Scheffé) [48] 8.1 Method [48] 8.8 Applications [64] 8.8 Comparison [68] 84 Derivation [68] 8.6 Distributions and tables [87] Bonferroni t statistics [67] 8.1 Method [67] 8.8 Applications [68] 8.8 Comparison [68] 84 Derivation [69] 8.6 Distributions and tables [70] Studentized maximum modulus [70] 44 Method [71] 44 Applications [71] 4'8 Comparison [78] 44 Derivation [74] 44 Distributions and tables [76] Many-one t statistics [76] 6.1 Method [76] 6.8 Applications [78] 6.8 Comparison [78] 6.4 Derivation [78] 6.6 Distributions and tables [79] Multiple range tests (Duncan) [81] 6.1 Method [88] 6.8 Applications [86] 6.3 Comparison [87] 84 Derivation [88] 6.6 Distributions and tables [89] Least significant difference test (Fisher) [90] 7.1 Method [90] 7.8 Applications [98] 7.8 Comparison [98] 74 Derivation [98] 7.6 Distributions and tables [94] Other techniques [94] 8.1 Tukey’s gap-straggler-variance test [94] 8.8 Shortcut methods [96] 8.8 Multiple F tests [97] 8.4 Two-sample confidence intervals of predetermined length [98] 8.6 An improved Bonferroni inequality 101 Power [108] Robustness [107] 3 REGRESSION TECHNIQUES [109] 1 Regression surface confidence bands [110] 1.1 Method [111] 1.2 Comparison [112] 1.8 Derivation [112] 2 Prediction [114] 2.1 Method [115] 2.2 Comparison [116] 2.3 Derivation [116] 3 Discrimination [117] 3.1 Method [117] 3.2 Comparison [120] 3.3 Derivation [120] 4 Other techniques [121] 4.1 Linear confidence bands [121] 4-2 Tolerance intervals [123] 4-3 Unlimited discrimination intervals [125] 4 NONPARAMETRIC TECHNIQUES [129] 1 Many-one sign statistics (Steel) [130] 1.1 Method [131] 1.2 Applications [133] 1.3 Comparison [133] 1.4 Derivation [134] 1.5 Distributions and tables [135] 2 A:-sample sign statistics [138] 2.1 Method [138] 2.2 Applications [139] 2.3 Comparison [140] 3.4 Derivation [140] 2.5 Distributions and tables [141] Many-one rank statistics (Steel) [143] 3.1 Method [143] 3.2 Applications [146] 3.3 Comparison [147] 3.4 Derivation [147] 3.5 Distributions and tables [149] 4 k:-sample rank statistics [153] 4-1 Method [153] 4-3 Applications [155] 4.3 Comparison [155] 4-4 Derivation [155] 4.5 Distributions and tables [156] Signed-rank statistics [157] Kruskal-Wallis rank statistics (Nemenyi) [165] 6.1 Method [165] 6.2 Applications [167] 6.3 Comparison [168] 6.4 Derivation [169] 6.5 Distributions and tables [170] 7 Friedman rank statistics (Nemenyi) [172] 7.1 Method [173] 7.2 Applications [174] 7.3 Comparison [175] 7.4 Derivation [176] 7.5 Distributions and tables [176] 8 Other techniques [179] 8.1 Permutation tests [179] 8.2 Median tests (Nemenyi) [182] 8.3 Kolmogorov-Smirnov statistics [185] 5 MULTIVARIATE TECHNIQUES [189] 1 Single population; covariance scalar unknown [190] 1.1 Method [190] 1.2 Applications [192] 1.3 Comparison [193] 1-4 Derivation [193] 1.5 Distributions and tables [195] 2 Single population; covariance matrix unknown [195] 2.1 Method [196] 2.2 Applications [197] 2.3 Comparison [200] 2.4 Derivation [200] 2.5 Distributions and tables [201] 3 k populations; covariance matrix unknown [202] 3.1 Method [202] 3.2 Applications [204] 3.3 Comparison [205] 8-4 Derivation [205] 3.5 Distributions and tables [206] 4 Other techniques [208] 4.1 Variances known; covariances unknown [208] 4-2 Variance-covariance intervals [209] 4-3 Two-sample confidence intervals of predetermined length [209] 6 MISCELLANEOUS TECHNIQUES [211] 1 Outlier detection [211] 2 Multinomial populations [215] 2.1 Single population [215] 2.2 Several populations [218] 2.3 Cross-product ratios [220] 2.4 Logistic response curves [220] 3 Equality of variances [221] 4 Periodogram analysis [223] 5 Alternative approaches: selection, ranking, slippage [226] A STRONG LAW FOR THE EXPECTED ERROR RATE [231] B TABLES [233] I Percentage points of the studentized range [234] II Percentage points of the Bonferroni t statistic [238] III Percentage points of the studentized maximum modulus [239] IV Percentage points of the many-one t statistics [240] V Percentage points of the Duncan multiple range test [243] VI Percentage points of the many-one sign statistics [247] VII Percentage points of the k-sample sign statistics [249] VIII Percentage points of the many-one rank statistics [250] IX Percentage points of the k-sample rank statistics [252] DEVELOPMENTS IN MULTIPLE COMPARISONS 1966-1976 [253] 1 Introduction [253] 2 Papers of special interest [254] 2.1 Probability inequalities [254] 2.2 Methods for unbalanced ANOVA [255] 2.3 Conditional confidence levels [256] 2.4 Empirical Bayes approach [257] 2.5 Confidence bands in regression [259] 3 References [261] 4 Bibliography 1966-1976 [261] 4.1 Survey articles [261] 4.2 Probability inequalities [261] 4.3 Tables [262] 4.4 Normal multifactor methods [263] 4.5 Regression [267] 4.6 Categorical data [269] 4.7 Nonparametric techniques [270] 4.8 Multivariate methods [270] 4.9 Miscellaneous [271] 4.10 Pre-1966 articles missed in [6] [273] 4.11 Late additions [273] 5 List of journals scanned [274] ADDENDUM NEW TABLE OF THE STUDENTIZED MAXIMUM MODULUS [277] Table IIIA Percentage points of the studentized maximum modulus [278] BIBLIOGRAPHY [279] AUTHOR INDEX [295] SUBJECT INDEX [297]
Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
---|---|---|---|---|---|---|---|---|
Libros | Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 62 M647-2 (Browse shelf) | Available | A-5820 |
Incluye índices.
Bibliografía: p. 279-293.
Preface to the Second Edition vi Preface to the First Edition vii --
1 INTRODUCTION [1] --
1 Case of two means [2] --
2 Error rates [5] --
2.1 Probability of a nonzero family error rate [6] --
2.2 Expected family error rate [8] --
2.3 Allocation of error [10] --
3 Basic techniques [12] --
3.1 Repeated normal statistics [12] --
3.2 Maximum modulus (Tukey) [14] --
3.3 Bonferroni normal statistics [15] --
3.4 x2 projections (Scheffe) [16] --
3.5 Allocation [22] --
3.6 Multiple modulus tests (Duncan) [24] --
3.7 Least significant difference test (Fisher) [26] --
4 p-mean significance levels [28] --
5 Families [31] --
2 NORMAL UNIVARIATE TECHNIQUES [37] --
1 Studentized range (Tukey) [37] --
1.1 Method [37] --
1.2 Applications [42] --
1.3 Comparison [43] --
14 Derivation [44] --
1,6 Distributions and tables [47] --
F projections (Scheffé) [48] --
8.1 Method [48] --
8.8 Applications [64] --
8.8 Comparison [68] --
84 Derivation [68] --
8.6 Distributions and tables [87] --
Bonferroni t statistics [67] --
8.1 Method [67] --
8.8 Applications [68] --
8.8 Comparison [68] --
84 Derivation [69] --
8.6 Distributions and tables [70] --
Studentized maximum modulus [70] --
44 Method [71] --
44 Applications [71] --
4'8 Comparison [78] --
44 Derivation [74] --
44 Distributions and tables [76] --
Many-one t statistics [76] --
6.1 Method [76] --
6.8 Applications [78] --
6.8 Comparison [78] --
6.4 Derivation [78] --
6.6 Distributions and tables [79] --
Multiple range tests (Duncan) [81] --
6.1 Method [88] --
6.8 Applications [86] --
6.3 Comparison [87] --
84 Derivation [88] --
6.6 Distributions and tables [89] --
Least significant difference test (Fisher) [90] --
7.1 Method [90] --
7.8 Applications [98] --
7.8 Comparison [98] --
74 Derivation [98] --
7.6 Distributions and tables [94] --
Other techniques [94] --
8.1 Tukey’s gap-straggler-variance test [94] --
8.8 Shortcut methods [96] --
8.8 Multiple F tests [97] --
8.4 Two-sample confidence intervals of predetermined length [98] --
8.6 An improved Bonferroni inequality 101 Power [108] --
Robustness [107] --
3 REGRESSION TECHNIQUES [109] --
1 Regression surface confidence bands [110] --
1.1 Method [111] --
1.2 Comparison [112] --
1.8 Derivation [112] --
2 Prediction [114] --
2.1 Method [115] --
2.2 Comparison [116] --
2.3 Derivation [116] --
3 Discrimination [117] --
3.1 Method [117] --
3.2 Comparison [120] --
3.3 Derivation [120] --
4 Other techniques [121] --
4.1 Linear confidence bands [121] --
4-2 Tolerance intervals [123] --
4-3 Unlimited discrimination intervals [125] --
4 NONPARAMETRIC TECHNIQUES [129] --
1 Many-one sign statistics (Steel) [130] --
1.1 Method [131] --
1.2 Applications [133] --
1.3 Comparison [133] --
1.4 Derivation [134] --
1.5 Distributions and tables [135] --
2 A:-sample sign statistics [138] --
2.1 Method [138] --
2.2 Applications [139] --
2.3 Comparison [140] --
3.4 Derivation [140] --
2.5 Distributions and tables [141] --
Many-one rank statistics (Steel) [143] --
3.1 Method [143] --
3.2 Applications [146] --
3.3 Comparison [147] --
3.4 Derivation [147] --
3.5 Distributions and tables [149] --
4 k:-sample rank statistics [153] --
4-1 Method [153] --
4-3 Applications [155] --
4.3 Comparison [155] --
4-4 Derivation [155] --
4.5 Distributions and tables [156] --
Signed-rank statistics [157] --
Kruskal-Wallis rank statistics (Nemenyi) [165] --
6.1 Method [165] --
6.2 Applications [167] --
6.3 Comparison [168] --
6.4 Derivation [169] --
6.5 Distributions and tables [170] --
7 Friedman rank statistics (Nemenyi) [172] --
7.1 Method [173] --
7.2 Applications [174] --
7.3 Comparison [175] --
7.4 Derivation [176] --
7.5 Distributions and tables [176] --
8 Other techniques [179] --
8.1 Permutation tests [179] --
8.2 Median tests (Nemenyi) [182] --
8.3 Kolmogorov-Smirnov statistics [185] --
5 MULTIVARIATE TECHNIQUES [189] --
1 Single population; covariance scalar unknown [190] --
1.1 Method [190] --
1.2 Applications [192] --
1.3 Comparison [193] --
1-4 Derivation [193] --
1.5 Distributions and tables [195] --
2 Single population; covariance matrix unknown [195] --
2.1 Method [196] --
2.2 Applications [197] --
2.3 Comparison [200] --
2.4 Derivation [200] --
2.5 Distributions and tables [201] --
3 k populations; covariance matrix unknown [202] --
3.1 Method [202] --
3.2 Applications [204] --
3.3 Comparison [205] --
8-4 Derivation [205] --
3.5 Distributions and tables [206] --
4 Other techniques [208] --
4.1 Variances known; covariances unknown [208] --
4-2 Variance-covariance intervals [209] --
4-3 Two-sample confidence intervals of predetermined length [209] --
6 MISCELLANEOUS TECHNIQUES [211] --
1 Outlier detection [211] --
2 Multinomial populations [215] --
2.1 Single population [215] --
2.2 Several populations [218] --
2.3 Cross-product ratios [220] --
2.4 Logistic response curves [220] --
3 Equality of variances [221] --
4 Periodogram analysis [223] --
5 Alternative approaches: selection, ranking, slippage [226] --
A STRONG LAW FOR THE EXPECTED ERROR RATE [231] --
B TABLES [233] --
I Percentage points of the studentized range [234] --
II Percentage points of the Bonferroni t statistic [238] --
III Percentage points of the studentized maximum modulus [239] --
IV Percentage points of the many-one t statistics [240] --
V Percentage points of the Duncan multiple range test [243] --
VI Percentage points of the many-one sign statistics [247] --
VII Percentage points of the k-sample sign statistics [249] --
VIII Percentage points of the many-one rank statistics [250] --
IX Percentage points of the k-sample rank statistics [252] --
DEVELOPMENTS IN MULTIPLE COMPARISONS --
1966-1976 [253] --
1 Introduction [253] --
2 Papers of special interest [254] --
2.1 Probability inequalities [254] --
2.2 Methods for unbalanced ANOVA [255] --
2.3 Conditional confidence levels [256] --
2.4 Empirical Bayes approach [257] --
2.5 Confidence bands in regression [259] --
3 References [261] --
4 Bibliography 1966-1976 [261] --
4.1 Survey articles [261] --
4.2 Probability inequalities [261] --
4.3 Tables [262] --
4.4 Normal multifactor methods [263] --
4.5 Regression [267] --
4.6 Categorical data [269] --
4.7 Nonparametric techniques [270] --
4.8 Multivariate methods [270] --
4.9 Miscellaneous [271] --
4.10 Pre-1966 articles missed in [6] [273] --
4.11 Late additions [273] --
5 List of journals scanned [274] --
ADDENDUM NEW TABLE OF THE STUDENTIZED MAXIMUM MODULUS [277] --
Table IIIA Percentage points of the studentized maximum modulus [278] --
BIBLIOGRAPHY [279] --
AUTHOR INDEX [295] --
SUBJECT INDEX [297] --
MR, 82c:62048
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