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Design of Experiments: A Modern Approach (in English)
Bradley Jones; Douglas C. Montgomery (Author)
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John Wiley & Sons Inc
· Paperback
Design of Experiments: A Modern Approach (in English) - Bradley Jones; Douglas C. Montgomery
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Synopsis "Design of Experiments: A Modern Approach (in English)"
STUDENT SOLUTION AVAILABLE IN INTERACTIVE E-TEXT PREFACE III ABOUT THE AUTHORS V 1 EXPERIMENTAL DESIGN: PRINCIPLES AND PRACTICES AND STATISTICS REVIEW 1 1.1 THE STRATEGY OF EXPERIMENTATION 1 1.2 BASIC PRINCIPLES 8 1.3 PRACTICAL GUIDELINES FOR DESIGNING AN EXPERIMENT 10 1.3.1 RECOGNITION OF AND STATEMENT OF THE PROBLEM 10 1.3.2 SELECTION OF THE RESPONSE VARIABLE 11 1.3.3 CHOICE OF FACTORS, LEVELS, AND RANGES 11 1.3.4 EXPERIMENTAL DESIGN GENERATION 13 1.3.5 PERFORMING THE EXPERIMENT 14 1.3.6 STATISTICAL ANALYSIS OF THE DATA 14 1.3.7 CONCLUSIONS AND RECOMMENDATIONS 15 1.4 A BRIEF HISTORY OF DESIGNED EXPERIMENTS 15 1.5 A REVIEW: USING STATISTICAL TECHNIQUES IN EXPERIMENTATION 17 1.6 REVIEW OF SOME BASIC STATISTICAL CONCEPTS AND METHODS 18 1.6.1 DATA DESCRIPTION 18 1.6.2 RANDOM SAMPLES, STATISTICS AND SAMPLING DISTRIBUTIONS 23 1.6.3 STATISTICAL INTERVALS AND TESTS OF HYPOTHESES 28 2 SIMPLE COMPARATIVE EXPERIMENTS 42 2.1 INTRODUCTION 42 2.2 STATISTICAL METHODS FOR COMPARING TWO POPULATION MEANS 42 2.2.1 PARAMETER ESTIMATION AND CONFIDENCE INTERVALS 42 2.2.2 STATISTICAL HYPOTHESIS TESTING ON THE DIFFERENCE IN MEANS 47 2.3 COMPARISON OF TWO MEANS, VARIANCES UNKNOWN 51 2.3.1 CONFIDENCE INTERVALS ON THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS, VARIANCES UNKNOWN 52 2.3.2 HYPOTHESIS TESTING ON THE DIFFERENCE IN MEANS OF TWO NORMAL DISTRIBUTIONS WITH UNKNOWN VARIANCES 54 2.3.3 COMPARISON OF MEANS OF TWO NORMAL DISTRIBUTIONS WITH VARIANCES UNKNOWN BUT ASSUMED EQUAL 56 2.3.4 POWER AND SAMPLE SIZE CALCULATIONS 57 2.3.5 THE NORMALITY ASSUMPTION 57 3 EXPERIMENTS WITH A SINGLE CATEGORICAL FACTOR: DESIGN ISSUES AND THE ANALYSIS OF VARIANCE 59 3.1 MOTIVATING EXAMPLE 59 3.2 STATISTICAL MODEL FOR THE DATA 61 3.3 DESIGN CONSIDERATIONS 62 3.4 STATISTICAL ANALYSIS OF THE DATA 62 3.4.1 PARTITIONING THE VARIANCE OF THE RESPONSE 63 3.4.2 THE ANOVA 64 3.4.3 POST-ANOVA COMPARISON OF TREATMENT MEANS 65
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