Preface to Third Edition |
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xvii | |
Preface to Second Edition |
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xix | |
Preface to First Edition |
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xxi | |
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xxiii | |
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PART I MODERN STATISTICS: A COMPUTER-BASED APPROACH |
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1 | (346) |
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1 Statistics and Analytics in Modern Industry |
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3 | (10) |
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1.1 Analytics, big data, and the fourth industrial revolution |
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3 | (1) |
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1.2 Computer age analytics |
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4 | (2) |
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1.3 The analytics maturity ladder |
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6 | (2) |
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8 | (2) |
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10 | (1) |
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10 | (3) |
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2 Analyzing Variability: Descriptive Statistics |
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13 | (34) |
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2.1 Random phenomena and the structure of observations |
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13 | (5) |
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2.2 Accuracy and precision of measurements |
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18 | (2) |
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2.3 The population and the sample |
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20 | (1) |
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2.4 Descriptive analysis of sample values |
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20 | (14) |
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2.4.1 Frequency distributions of discrete random variables |
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20 | (5) |
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2.4.2 Frequency distributions of continuous random variables |
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25 | (3) |
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2.4.3 Statistics of the ordered sample |
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28 | (2) |
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2.4.4 Statistics of location and dispersion |
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30 | (4) |
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34 | (2) |
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2.6 Additional techniques of exploratory data analysis |
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36 | (6) |
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2.6.1 Box and whiskers plot |
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36 | (1) |
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37 | (1) |
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2.6.3 Stem-and-leaf diagrams |
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38 | (1) |
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2.6.4 Robust statistics for location and dispersion |
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38 | (4) |
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42 | (1) |
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42 | (5) |
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3 Probability Models and Distribution Functions |
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47 | (84) |
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47 | (12) |
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3.1.1 Events and sample spaces: formal presentation of random measurements |
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47 | (2) |
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3.1.2 Basic rules of operations with events: unions, intersections |
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49 | (2) |
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3.1.3 Probabilities of events |
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51 | (2) |
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3.1.4 Probability functions for random sampling |
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53 | (2) |
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3.1.5 Conditional probabilities and independence of events |
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55 | (2) |
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3.1.6 Bayes' formula and its application |
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57 | (2) |
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3.2 Random variables and their distributions |
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59 | (11) |
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3.2.1 Discrete and continuous distributions |
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60 | (1) |
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3.2.1.1 Discrete random variables |
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60 | (2) |
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3.2.1.2 Continuous random variables |
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62 | (2) |
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3.2.2 Expected values and moments of distributions |
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64 | (2) |
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3.2.3 The standard deviation, quantiles, measures of skewness and kurtosis |
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66 | (3) |
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3.2.4 Moment generating functions |
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69 | (1) |
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3.3 Families of discrete distribution |
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70 | (10) |
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3.3.1 The binomial distribution |
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70 | (3) |
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3.3.2 The hypergeometric distribution |
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73 | (3) |
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3.3.3 The poisson distribution |
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76 | (2) |
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3.3.4 The geometric and negative binomial distributions |
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78 | (2) |
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3.4 Continuous distributions |
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80 | (14) |
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3.4.1 The uniform distribution on the interval (a, b), a > b |
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80 | (1) |
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3.4.2 The normal and log-normal distributions |
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81 | (1) |
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3.4.2.1 The normal distribution |
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81 | (5) |
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3.4.2.2 The log-normal distribution |
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86 | (2) |
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3.4.3 The exponential distribution |
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88 | (1) |
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3.4.4 The Gamma and Weibull distributions |
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89 | (3) |
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3.4.5 The Beta distributions |
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92 | (2) |
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3.5 Joint, marginal and conditional distributions |
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94 | (8) |
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3.5.1 Joint and marginal distributions |
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94 | (3) |
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3.5.2 Covariance and correlation |
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97 | (1) |
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3.5.2.1 Definition of independence |
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98 | (1) |
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3.5.3 Conditional distributions |
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99 | (3) |
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3.6 Some multivariate distributions |
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102 | (5) |
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3.6.1 The multinomial distribution |
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102 | (1) |
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3.6.2 The multi-hypergeometric distribution |
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103 | (2) |
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3.6.3 The bivariate normal distribution |
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105 | (2) |
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3.7 Distribution of order statistics |
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107 | (2) |
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3.8 Linear combinations of random variables |
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109 | (5) |
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3.9 Large sample approximations |
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114 | (3) |
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3.9.1 The law of large numbers |
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114 | (1) |
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3.9.2 The central limit theorem |
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114 | (1) |
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3.9.3 Some normal approximations |
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115 | (2) |
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3.10 Additional distributions of statistics of normal samples |
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117 | (4) |
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3.10.1 Distribution of the sample variance |
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117 | (1) |
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3.10.2 The "Student" f-statistic |
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118 | (1) |
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3.10.3 Distribution of the variance ratio |
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119 | (2) |
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121 | (1) |
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122 | (1) |
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Additional problems in combinatorial and geometric probabilities |
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123 | (8) |
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4 Statistical Inference and Bootstrapping |
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131 | (74) |
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4.1 Sampling characteristics of estimators |
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131 | (2) |
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4.2 Some methods of point estimation |
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133 | (6) |
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4.2.1 Moment equation estimators |
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134 | (1) |
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4.2.2 The method of least squares |
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135 | (2) |
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4.2.3 Maximum likelihood estimators |
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137 | (2) |
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4.3 Comparison of sample estimates |
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139 | (10) |
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139 | (3) |
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4.3.2 Some common one-sample tests of hypotheses |
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142 | (1) |
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4.3.2.1 The Z-test: testing the mean of a normal distribution, er2 known |
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142 | (2) |
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4.3.2.2 The f-test: testing the mean of a normal distribution, a2 unknown |
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144 | (1) |
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4.3.2.3 The chi-squared test: testing the variance of a normal distribution |
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145 | (2) |
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4.3.2.4 Testing hypotheses about the success probability, p, in binomial trials |
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147 | (2) |
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149 | (4) |
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4.4.1 Confidence intervals for μ σ known |
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150 | (1) |
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4.4.2 Confidence intervals for μ σ unknown |
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150 | (1) |
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4.4.3 Confidence intervals for σ2 |
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151 | (1) |
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4.4.4 Confidence intervals for p |
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151 | (2) |
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153 | (3) |
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4.5.1 Tolerance intervals for the normal distributions |
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153 | (3) |
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4.6 Testing for normality with probability plots |
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156 | (3) |
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4.7 Tests of goodness of fit |
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159 | (3) |
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4.7.1 The chi-square test (large samples) |
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159 | (3) |
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4.7.2 The Kolmogorov-Smirnov test |
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162 | (1) |
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4.8 Bayesian decision procedures |
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162 | (10) |
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4.8.1 Prior and posterior distributions |
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163 | (4) |
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4.8.2 Bayesian testing and estimation |
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167 | (1) |
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167 | (3) |
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4.8.2.2 Bayesian estimation |
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170 | (1) |
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4.8.3 Credibility intervals for real parameters |
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170 | (2) |
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4.9 Random sampling from reference distributions |
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172 | (2) |
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174 | (2) |
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4.10.1 The bootstrap method |
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174 | (1) |
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4.10.2 Examining the bootstrap method |
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175 | (1) |
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4.10.3 Harnessing the bootstrap method |
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176 | (1) |
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4.11 Bootstrap testing of hypotheses |
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176 | (10) |
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4.11.1 Bootstrap testing and confidence intervals for the mean |
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177 | (1) |
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4.11.2 Studentized test for the mean |
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177 | (2) |
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4.11.3 Studentized test for the difference of two means |
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179 | (3) |
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4.11.4 Bootstrap tests and confidence intervals for the variance |
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182 | (1) |
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4.11.5 Comparing statistics of several samples |
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183 | (1) |
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4.11.5.1 Comparing variances of several samples |
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183 | (1) |
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4.11.5.2 Comparing several means: the one-way analysis of variance |
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184 | (2) |
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4.12 Bootstrap tolerance intervals |
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186 | (5) |
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4.12.1 Bootstrap tolerance intervals for Bernoulli samples |
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186 | (2) |
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4.12.2 Tolerance interval for continuous variables |
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188 | (2) |
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4.12.3 Distribution free tolerance intervals |
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190 | (1) |
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191 | (6) |
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191 | (2) |
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4.13.2 The randomization test |
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193 | (2) |
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4.13.3 The Wilcoxon signed rank test |
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195 | (2) |
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4.14 Description of MINITAB macros |
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197 | (1) |
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197 | (1) |
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198 | (7) |
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5 Variability in Several Dimensions and Regression Models |
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205 | (68) |
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5.1 Graphical display and analysis |
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205 | (5) |
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205 | (3) |
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208 | (2) |
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5.2 Frequency distributions in several dimensions |
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210 | (5) |
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5.2.1 Bivariate joint frequency distributions |
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211 | (3) |
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5.2.2 Conditional distributions |
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214 | (1) |
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5.3 Correlation and regression analysis |
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215 | (8) |
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5.3.1 Covariances and correlations |
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215 | (3) |
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5.3.2 Fitting simple regression lines to data |
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218 | (1) |
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5.3.2.1 The least squares method |
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218 | (5) |
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5.3.2.2 Regression and prediction intervals |
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223 | (1) |
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223 | (6) |
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5.4.1 Regression on two variables |
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225 | (4) |
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5.5 Partial regression and correlation |
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229 | (3) |
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5.6 Multiple linear regression |
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232 | (5) |
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5.7 Partial F-tests and the sequential SS |
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237 | (2) |
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5.8 Model construction: stepwise regression |
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239 | (3) |
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5.9 Regression diagnostics |
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242 | (3) |
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5.10 Quantal response analysis: logistic regression |
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245 | (2) |
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5.11 The analysis of variance: the comparison of means |
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247 | (4) |
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5.11.1 The statistical model |
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247 | (1) |
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5.11.2 The one-way analysis of variance (ANOVA) |
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247 | (4) |
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5.12 Simultaneous confidence intervals: multiple comparisons |
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251 | (3) |
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254 | (9) |
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5.13.1 The structure of contingency tables |
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254 | (4) |
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5.13.2 Indices of association for contingency tables |
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258 | (1) |
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5.13.2.1 Two interval scaled variables |
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258 | (1) |
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5.13.2.2 Indices of association for categorical variables |
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259 | (4) |
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5.14 Categorical data analysis |
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263 | (2) |
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5.14.1 Comparison of binomial experiments |
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263 | (2) |
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265 | (1) |
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266 | (7) |
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6 Sampling for Estimation of Finite Population Quantities |
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273 | (24) |
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6.1 Sampling and the estimation problem |
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273 | (5) |
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273 | (1) |
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6.1.2 Drawing a random sample from a finite population |
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274 | (1) |
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6.1.3 Sample estimates of population quantities and their sampling distribution |
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275 | (3) |
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6.2 Estimation with simple random samples |
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278 | (7) |
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6.2.1 Properties of Xn and S2 under RSWR |
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279 | (3) |
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6.2.2 Properties of Xn and S2n under RSWOR |
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282 | (3) |
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6.3 Estimating the mean with stratified RSWOR |
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285 | (2) |
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6.4 Proportional and optimal allocation |
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287 | (3) |
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6.5 Prediction models with known covariates |
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290 | (5) |
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295 | (1) |
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295 | (2) |
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7 Time Series Analysis and Prediction |
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297 | (28) |
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7.1 The components of a time series |
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297 | (4) |
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7.1.1 The trend and covariances |
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297 | (1) |
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7.1.2 Applications with MINITAB and JMP |
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298 | (3) |
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7.2 Covariance stationary time series |
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301 | (7) |
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302 | (1) |
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7.2.2 Auto-regressive time series |
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302 | (3) |
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7.2.3 Auto-regressive moving averages time series |
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305 | (1) |
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7.2.4 Integrated auto-regressive moving average time series |
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306 | (1) |
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7.2.5 Applications with JMP and R |
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307 | (1) |
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7.3 Linear predictors for covariance stationary time series |
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308 | (1) |
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7.3.1 Optimal linear predictors |
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308 | (1) |
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7.4 Predictors for nonstationary time series |
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309 | (3) |
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7.4.1 Quadratic LSE predictors |
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309 | (2) |
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7.4.2 Moving average smoothing predictors |
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311 | (1) |
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7.5 Dynamic linear models |
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312 | (5) |
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313 | (4) |
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317 | (1) |
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318 | (7) |
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320 | (5) |
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8 Modern Analytic Methods |
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325 | (22) |
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8.1 Introduction to computer age statistics |
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325 | (1) |
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326 | (5) |
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8.3 Naive Bayes classifier |
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331 | (3) |
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334 | (3) |
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8.5 Functional data analysis |
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337 | (3) |
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340 | (3) |
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343 | (1) |
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344 | (3) |
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PART II MODERN INDUSTRIAL STATISTICS: DESIGN AND CONTROL OF QUALITY AND RELIABILITY |
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347 | (354) |
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9 The Role of Statistical Methods in Modern Industry and Services |
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349 | (12) |
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9.1 The different functional areas in industry and services |
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349 | (2) |
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9.2 The quality-productivity dilemma |
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351 | (2) |
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353 | (1) |
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9.4 Inspection of products |
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354 | (1) |
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355 | (1) |
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355 | (3) |
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9.7 Practical statistical efficiency |
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358 | (1) |
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359 | (1) |
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360 | (1) |
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10 Basic Tools and Principles of Process Control |
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361 | (40) |
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10.1 Basic concepts of statistical process control |
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361 | (10) |
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10.2 Driving a process with control charts |
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371 | (4) |
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10.3 Setting up a control chart: process capability studies |
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375 | (2) |
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10.4 Process capability indices |
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377 | (3) |
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10.5 Seven tools for process control and process improvement |
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380 | (4) |
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380 | (1) |
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380 | (1) |
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380 | (1) |
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381 | (1) |
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381 | (1) |
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382 | (1) |
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10.5.7 Cause and effect diagrams |
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382 | (2) |
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10.6 Statistical analysis of Pareto charts |
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384 | (3) |
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10.7 The Shewhart control charts |
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387 | (8) |
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10.7.1 Control charts for attributes |
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388 | (2) |
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10.7.2 Control charts for variables |
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390 | (5) |
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395 | (1) |
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396 | (5) |
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11 Advanced Methods of Statistical Process Control |
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401 | (48) |
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401 | (7) |
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11.1.1 Testing the number of runs |
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402 | (1) |
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11.1.2 Runs above and below a specified level |
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403 | (3) |
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406 | (1) |
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11.1.4 Testing the length of runs up and down |
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407 | (1) |
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11.2 Modified Shewhart control charts for X |
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408 | (3) |
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11.3 The size and frequency of sampling for Shewhart control charts |
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411 | (3) |
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11.3.1 The economic design for X-charts |
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411 | (1) |
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11.3.2 Increasing the sensitivity of p-charts |
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411 | (3) |
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11.4 Cumulative sum control charts |
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414 | (13) |
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11.4.1 Upper Page's scheme |
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414 | (3) |
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11.4.2 Some theoretical background |
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417 | (1) |
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11.4.2.1 Normal distribution |
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418 | (1) |
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11.4.2.2 Binomial distributions |
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418 | (1) |
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11.4.2.3 Poisson distributions |
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419 | (1) |
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11.4.3 Lower and two-sided Page's scheme |
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419 | (4) |
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11.4.4 Average run length, probability of false alarm, and conditional expected delay |
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423 | (4) |
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427 | (5) |
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432 | (9) |
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11.6.1 The EWMA procedure |
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433 | (2) |
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11.6.2 The BECM procedure |
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435 | (1) |
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436 | (3) |
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439 | (2) |
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11.7 Automatic process control |
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441 | (3) |
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444 | (1) |
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444 | (5) |
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12 Multivariate Statistical Process Control |
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449 | (22) |
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449 | (5) |
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12.2 A review multivariate data analysis |
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454 | (3) |
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12.3 Multivariate process capability indices |
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457 | (3) |
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12.4 Advanced applications of multivariate control charts |
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460 | (4) |
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12.4.1 Multivariate control charts scenarios |
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460 | (1) |
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12.4.2 Internally derived targets |
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460 | (1) |
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12.4.3 Using an external reference sample |
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461 | (1) |
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12.4.4 Externally assigned targets |
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462 | (1) |
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12.4.5 Measurement units considered as batches |
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463 | (1) |
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12.4.6 Variable decomposition and monitoring indices |
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464 | (1) |
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12.5 Multivariate tolerance specifications |
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464 | (3) |
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467 | (1) |
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468 | (3) |
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13 Classical Design and Analysis of Experiments |
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471 | (74) |
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13.1 Basic steps and guiding principles |
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471 | (4) |
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13.2 Blocking and randomization |
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475 | (1) |
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13.3 Additive and nonadditive linear models |
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476 | (2) |
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13.4 The analysis of randomized complete block designs |
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478 | (8) |
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13.4.1 Several blocks, two treatments per block: paired comparison |
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478 | (1) |
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479 | (1) |
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13.4.1.2 Randomization tests |
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479 | (4) |
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13.4.2 Several blocks, t treatments per block |
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483 | (3) |
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13.5 Balanced incomplete block designs |
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486 | (4) |
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490 | (5) |
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13.7 Full factorial experiments |
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495 | (26) |
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13.7.1 The structure of factorial experiments |
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495 | (1) |
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13.7.2 The ANOVA for full factorial designs |
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496 | (5) |
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13.7.3 Estimating main effects and interactions |
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501 | (2) |
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13.7.4 2m factorial designs |
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503 | (9) |
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13.7.5 3m factorial designs |
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512 | (9) |
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13.8 Blocking and fractional replications of 2m factorial designs |
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521 | (6) |
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13.9 Exploration of response surfaces |
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527 | (13) |
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13.9.1 Second-order designs |
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527 | (3) |
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13.9.2 Some specific second-order designs |
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530 | (7) |
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13.9.3 Approaching the region of the optimal yield |
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537 | (1) |
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13.9.4 Canonical representation |
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538 | (2) |
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540 | (1) |
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541 | (4) |
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545 | (36) |
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14.1 Off-line quality control, parameter design, and the Taguchi method |
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546 | (7) |
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14.1.1 Product and process optimization using loss functions |
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546 | (2) |
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14.1.2 Major stages in product and process design |
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548 | (1) |
|
14.1.3 Design parameters and noise factors |
|
|
548 | (2) |
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14.1.4 Parameter design experiments |
|
|
550 | (2) |
|
14.1.5 Performance statistics |
|
|
552 | (1) |
|
14.2 The effects of non-linearity |
|
|
553 | (4) |
|
|
557 | (2) |
|
14.4 Quality by design in the pharmaceutical industry |
|
|
559 | (7) |
|
14.4.1 Introduction to quality by design |
|
|
559 | (1) |
|
14.4.2 A quality by design case study - the full factorial design |
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|
560 | (4) |
|
14.4.3 A quality by design case study - the profiler and desirability function |
|
|
564 | (1) |
|
14.4.4 A quality by design case study - the design space |
|
|
564 | (2) |
|
|
566 | (4) |
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|
570 | (6) |
|
14.6.1 The Quinlan experiment |
|
|
570 | (2) |
|
14.6.2 Computer response time optimization |
|
|
572 | (4) |
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|
576 | (1) |
|
|
577 | (4) |
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|
581 | (22) |
|
15.1 Introduction to computer experiments |
|
|
581 | (4) |
|
15.2 Designing computer experiments |
|
|
585 | (6) |
|
15.3 Analyzing computer experiments |
|
|
591 | (4) |
|
15.4 Stochastic emulators |
|
|
595 | (1) |
|
15.5 Integrating physical and computer experiments |
|
|
596 | (2) |
|
15.6 Simulation of random variables |
|
|
598 | (2) |
|
|
598 | (1) |
|
15.6.2 Generating random vectors |
|
|
599 | (1) |
|
15.6.3 Approximating integrals |
|
|
600 | (1) |
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|
600 | (1) |
|
|
601 | (2) |
|
|
603 | (46) |
|
|
605 | (2) |
|
|
605 | (1) |
|
16.1.2 Reliability and related functions |
|
|
606 | (1) |
|
|
607 | (3) |
|
16.3 Availability of repairable systems |
|
|
610 | (7) |
|
16.4 Types of observations on TTF |
|
|
617 | (1) |
|
16.5 Graphical analysis of life data |
|
|
618 | (4) |
|
16.6 Nonparametric estimation of reliability |
|
|
622 | (2) |
|
16.7 Estimation of life characteristics |
|
|
624 | (7) |
|
16.7.1 Maximum likelihood estimators for exponential TTF distribution |
|
|
625 | (4) |
|
16.7.2 Maximum likelihood estimation of the Weibull parameters |
|
|
629 | (2) |
|
16.8 Reliability demonstration |
|
|
631 | (9) |
|
|
631 | (1) |
|
16.8.2 Exponential distributions |
|
|
632 | (2) |
|
16.8.2.1 The SPRT for binomial data |
|
|
634 | (2) |
|
16.8.2.2 The SPRT for exponential lifetimes |
|
|
636 | (3) |
|
16.8.2.3 The SPRT for Poisson processes |
|
|
639 | (1) |
|
16.9 Accelerated life testing |
|
|
640 | (1) |
|
16.9.1 The Arrhenius temperature model |
|
|
640 | (1) |
|
|
641 | (1) |
|
|
641 | (2) |
|
|
643 | (1) |
|
|
643 | (6) |
|
17 Bayesian Reliability Estimation and Prediction |
|
|
649 | (22) |
|
17.1 Prior and posterior distributions |
|
|
649 | (4) |
|
17.2 Loss functions and bayes estimators |
|
|
653 | (2) |
|
17.2.1 Distribution-free bayes estimator of reliability |
|
|
654 | (1) |
|
17.2.2 Bayes estimator of reliability for exponential life distributions |
|
|
654 | (1) |
|
17.3 Bayesian credibility and prediction intervals |
|
|
655 | (7) |
|
17.3.1 Distribution-free reliability estimation |
|
|
656 | (1) |
|
17.3.2 Exponential reliability estimation |
|
|
656 | (1) |
|
17.3.3 Prediction intervals |
|
|
657 | (1) |
|
17.3.4 Applications with JMP |
|
|
658 | (4) |
|
17.4 Credibility intervals for the asymptotic availability of repairable systems: the exponential case |
|
|
662 | (3) |
|
17.5 Empirical bayes method |
|
|
665 | (2) |
|
|
667 | (1) |
|
|
668 | (3) |
|
18 Sampling Plans for Batch and Sequential Inspection |
|
|
671 | (30) |
|
|
671 | (2) |
|
18.2 Single-stage sampling plans for attributes |
|
|
673 | (3) |
|
18.3 Approximate determination of the sampling plan |
|
|
676 | (2) |
|
18.4 Double-sampling plans for attributes |
|
|
678 | (3) |
|
18.5 Sequential A/B testing |
|
|
681 | (4) |
|
18.5.1 The one-armed Bernoulli bandits |
|
|
681 | (3) |
|
18.5.2 Two-armed Bernoulli bandits |
|
|
684 | (1) |
|
18.6 Acceptance sampling plans for variables |
|
|
685 | (2) |
|
18.7 Rectifying inspection of lots |
|
|
687 | (2) |
|
18.8 National and international standards |
|
|
689 | (1) |
|
18.9 Skip-lot sampling plans for attributes |
|
|
690 | (3) |
|
18.9.1 The ISO 2859 skip-lot sampling procedures |
|
|
691 | (2) |
|
18.10 The Deming inspection criterion |
|
|
693 | (1) |
|
18.11 Published tables for acceptance sampling |
|
|
694 | (1) |
|
|
695 | (1) |
|
|
696 | (5) |
|
|
698 | (3) |
List of R Packages |
|
701 | (4) |
Solution Manual |
|
705 | (118) |
References |
|
823 | (6) |
Author Index |
|
829 | (4) |
Subject Index |
|
833 | |