| Description |
1 online resource (435 pages) |
| Contents |
Title Page ; Copyright Page ; Contents; Preface; Notation and Abbreviations; Chapter 1 Introduction to Design and Analysis of Experiments; 1.1 Why Simultaneous Experiments? ; 1.2 Interaction Effects ; 1.3 Choice of Factors and Their Levels ; 1.4 Classification of Factors ; 1.5 Fixed or Random Effects Model? ; 1.6 Fisherś Three Principles of Experiments vs. Noise Factor ; 1.7 Generalized Interaction ; 1.8 Immanent Problems in the Analysis of Interaction Effects ; 1.9 Classification of Factors in the Analysis of Interaction Effects |
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1.10 Pseudo Interaction Effects (Simpsonś Paradox) in Categorical Data 1.11 Upper Bias by Statistical Optimization ; 1.12 Stage of Experiments: Exploratory, Explanatory or Confirmatory? ; References; Chapter 2 Basic Estimation Theory; 2.1 Best Linear Unbiased Estimator ; 2.2 General Minimum Variance Unbiased Estimator ; 2.3 Efficiency of Unbiased Estimator ; 2.4 Linear Model ; 2.5 Least Squares Method ; 2.5.1 LS method and BLUE ; 2.5.2 Estimation space and error space ; 2.5.3 Linear constraints on parameters for solving the normal equation ; 2.5.4 Generalized inverse of a matrix |
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2.5.5 Distribution theory of the LS estimator 2.6 Maximum Likelihood Estimator ; 2.7 Sufficient Statistics ; References; Chapter 3 Basic Test Theory ; 3.1 Normal Mean ; 3.1.1 Setting a null hypothesis and a rejection region ; 3.1.2 Power function ; 3.1.3 Sample size determination ; 3.1.4 Nuisance parameter ; 3.1.5 Non-parametric test for median ; 3.2 Normal Variance; 3.2.1 Setting a null hypothesis and a rejection region; 3.2.2 Power function ; 3.3 Confidence Interval ; 3.3.1 Normal mean ; 3.3.2 Normal variance ; 3.4 Test Theory in the Linear Model ; 3.4.1 Construction of F-test |
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3.4.2 Optimality of F-test3.5 Likelihood Ratio Test and Efficient Score Test ; 3.5.1 Likelihood ratio test ; 3.5.2 Test based on the efficient score ; 3.5.3 Composite hypothesis ; References; Chapter 4 Multiple Decision Processes and an Accompanying Confidence Region ; 4.1 Introduction ; 4.2 Determining the Sign of a Normal Mean -- Unification of One- and Two-Sided Tests ; 4.3 An Improved Confidence Region ; Reference; Chapter 5 Two-Sample Problem ; 5.1 Normal Theory ; 5.1.1 Comparison of normal means assuming equal variances ; 5.1.2 Remark on the unequal variances; 5.1.3 Paired sample |
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5.1.4 Comparison of normal variances 5.2 Non-parametric Tests ; 5.2.1 Permutation test; 5.2.2 Rank sum test ; 5.2.3 Methods for ordered categorical data ; 5.3 Unifying Approach to Non-inferiority, Equivalence and Superiority Tests ; 5.3.1 Introduction ; 5.3.2 Unifying approach via multiple decision processes ; 5.3.3 Extension to the binomial distribution model ; 5.3.4 Extension to the stratified data analysis ; 5.3.5 Meaning of non-inferiority test and a rationale of switching to superiority test ; 5.3.6 Bio-equivalence ; 5.3.7 Concluding remarks ; References |
| Notes |
Chapter 6 One-Way Layout, Normal Model |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Analysis of variance.
|
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Analysis of variance.
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| Form |
Electronic book
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| ISBN |
9781119303343 |
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1119303346 |
|
9781119303336 |
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1119303338 |
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