Applied statistics and probability for engineers /
Montgomery, Douglas C.,
Applied statistics and probability for engineers / - Seventh edition, EMEA edition. - Hoboken, N. J. : John Wiley and Sons, Inc., 2018. - xvi, 429 pages : illustrations ; 26 cm.
Includes bibliographical references and index.
The Role of Statistics in Engineering, p.1 -- The Engineering Method and Statistical Thinking, p.2 -- Variability, p.3 -- Populations and Samples, p.5 -- Collecting Engineering Data, p.5 -- Basic Principles, p.5 -- Retrospective Study 5 -- Observational Study, p.6 -- Designed Experiments, p.6 -- Observing Processes Over Time, p.9 -- Mechanistic and Empirical Models, p.12 -- Probability and Probability Models, p.15 -- Sample Spaces and Events, p.18 -- Random Experiments, p.18 -- Sample Spaces, p.19 -- Events, p.21 -- Counting Techniques, p.23 -- Interpretations and Axioms of Probability, p.26 -- Unions of Events and Addition Rules, p.29 -- Conditional Probability, p.31 -- Intersections of Events and Multiplication and Total Probability Rules, p.34 -- Independence, p.36 -- Bayes Theorem, p.39 -- Random Variables, p.40 -- Discrete Random Variables and Probability Distributions, p.42 -- Probability Distributions and Probability Mass Functions, p.43 -- Cumulative Distribution Functions, p.45 Mean and Variance of a Discrete Random Variable, p.47 Discrete Uniform Distribution, p.49 -- Binomial Distribution, p.51 -- Geometric and Negative Binomial Distributions, p.55 -- Hypergeometric Distribution, p.59 -- Poisson Distribution, p.63 -- Continuous Random Variables and Probability Distributions, p.66 -- Probability Distributions and Probability Density Functions, p.67 -- Cumulative Distribution Functions, p.70 -- Mean and Variance of a Continuous Random Variable, p.71 -- Continuous Uniform Distribution, p.72 -- Normal Distribution, p.73 -- Normal Approximation to the Binomial and Poisson Distributions, p.79 -- Exponential Distribution, p.83 -- Erlang and Gamma Distributions, p.86 -- Weibull Distribution, p.89 -- Lognormal Distribution, p.90 -- Beta Distribution, p.92 -- Joint Probability Distributions, p.95 -- Joint Probability Distributions for Two Random Variables, p.96 -- Conditional Probability Distributions and Independence, p.102 -- Joint Probability Distributions for More Than Two Random Variables, p.107 -- Covariance and Correlation, p.110 -- Common Joint Distributions, p.113 -- Multinomial Probability Distribution, p.113 -- Bivariate Normal Distribution, p.115 -- Linear Functions of Random Variables, p.117 -- General Functions of Random Variables, p.120 -- Moment-Generating Functions, p.121 -- Descriptive Statistics, p.126 -- Numerical Summaries of Data, p.127 -- Stem-and-Leaf Diagrams, p.131 -- Frequency Distributions and Histograms, p.135 -- Box Plots, p.139 -- Time Sequence Plots, p.140 -- Scatter Diagrams, p.142 -- Probability Plots, p.144 -- Point Estimation of Parameters and Sampling Distributions, p.148 -- Bootstrap Confidence Interval, p.189 -- Tolerance and Prediction Intervals, p.189 -- Prediction Interval for a Future Observation, p.189 -- Tolerance Interval for a Normal Distribution, p.191 -- Tests of Hypotheses for a Single Sample, p.193 -- Point Estimation, p.149 Sampling Distributions and the Central Limit Theorem, p.150 General Concepts of Point Estimation, p.156 Unbiased Estimators, p.156 Variance of a Point Estimator, p.157 -- Standard Error: Reporting a Point Estimate, p.158 -- Bootstrap Standard Error, p.159 -- Mean Squared Error of an Estimator, p.160 -- Methods of Point Estimation, p.161 -- Method of Moments, p.162 -- Method of Maximum Likelihood, p.163 -- Bayesian Estimation of Parameters, p.167 -- Statistical Intervals for a Single Sample, p.170 -- Confidence Interval on the Mean of a Normal Distribution, Variance Known, p.172 -- Development of the Confidence Interval and Its Basic Properties, p.172 -- Choice of Sample Size, p.175 -- One-Sided Confidence Bounds, p.176 -- General Method to Derive a Confidence Interval, p.176 -- Large-Sample Confidence Interval for p, p.177 -- Confidence Interval on the Mean of a Normal Distribution, Variance Unknown, p.179 -- t Distribution, p.180 -- t Confidence Interval on p, p.181 -- Confidence Interval on the Variance and Standard Deviation of a Normal Distribution, p.182 -- Large-Sample Confidence Interval for a Population Proportion, p.185 -- Guidelines for Constructing Confidence Intervals, p.188 -- Bootstrap Confidence Interval, p.189 -- Tolerance and Prediction Intervals, p.189 -- Prediction Interval for a Future Observation, p.189 -- Tolerance Interval for a Normal Distribution, p.191 -- Tests of Hypotheses for a Single Sample, p.193 -- Hypothesis Testing, p.194 -- Statistical Hypotheses, p.194 -- Tests of Statistical Hypotheses, p.196 -- One-Sided and Two-Sided Hypotheses, p.202 -- P-Values in Hypothesis Tests, p.203 -- Connection between Hypothesis Tests and Confidence Intervals, p.206 -- General Procedure for Hypothesis Tests, p.206 -- Tests on the Mean of a Normal Distribution, Variance Known, p.208 -- Hypothesis Tests on the Mean, p.208 -- Type II Error and Choice of Sample Size, p.211 -- Large-Sample Test, p.215 -- Tests on the Mean of a Normal Distribution, Variance Unknown, p.215 -- Hypothesis Tests on the Mean, p.215 -- Type ll Error and Choice of Sample Size, p.220 -- Tests on the Variance and Standard Deviation of a Normal Distribution, p.222 -- Hypothesis Tests on the Variance, p.222 -- Type II Error and Choice of Sample Size, p.224 -- Tests on a Population Proportion, p.225 -- Large-Sample Tests on a Proportion, p.225 -- Type II Error and Choice of Sample Size, p.227 -- Summary Table of Inference Procedures for a Single Sample, p.229 -- Testing for Goodness of Fit, p.229 -- Contingency Table Tests, p.232 -- Nonparametric Procedures, p.234 -- The Sign Test, p.235 -- The Wilcoxon Signed-Rank Test, p.239 -- Comparison to the t-Test, p.240 -- Equivalence Testing, p.240 -- Combining P-Values, p.242 -- Statistical Inference for Two Samples, p.244 -- Inference on the Difference in Means of Two Normal Distributions, Variances Known, p.245 -- Hypothesis Tests on the Difference in Means, Variances Known, p.247 -- Type II Error and Choice of Sample Size, p.249 -- Confidence Interval on the Difference in Means, Variances Known, p.251 -- Inference on the Difference in Means of Two Normal Distributions, Variances Unknown, p.253 -- Hypotheses Tests on the Difference in Means, Variances Unknown, p.253 -- Type II Error and Choice of Sample Size, p.259 -- Confidence Interval on the Difference in Means, Variances Unknown, p.260 -- A Nonparametric Test for the Difference in Two Means, p.261 -- Description of the Wilcoxon Rank-Sum Test, p.262 -- Large-Sample Approximation, p.263 -- Comparison to the f-Test, p.264 -- Paired t-Test, p.264 -- Inference on the Variances of Two Normal Distributions, p.268 -- F Distribution, p.268 -- Hypothesis Tests on the Equity of Two Variances, p.270 -- Type II Error and Choice of Sample Size, p.272 -- Confidence Interval on the Ratio of Two Variances, p.273 -- Inference on Two Population Proportions, p.273 -- Large-Sample Tests on the Difference in Population Proportions, p.274 -- Type II Error and Choice of Sample Size, p.276 -- Confidence Interval on the Difference in Population Proportions, p.277 -- Summary Table and Road Map for Inference Procedures for Two Samples, p.278 -- Simple Linear Regression and Correlation, p.280 -- Empirical Models, p.281 -- Simple Linear Regression, p.284 -- Properties of the Least Squares Estimators, p.288 -- Hypothesis Tests in Simple Linear Regression, p.288 -- Useoft-Tests, p.289 -- Analysis of Variance Approach to Test Significance of Regression, p.291 -- Confidence Intervals, p.292 -- Confidence Intervals on the Slope and Intercept, p.292 -- Confidence Interval on the Mean Response, p.293 -- Prediction of New Observations, p.295 -- Adequacy of the Regression Model, p.296 -- Residual Analysis, p.296 -- Coefficient of Determination [R2), p.298 -- Correlation, p.299 -- Regression on Transformed Variables, p.303 -- Logistic Regression, p.305 1 1.1 1.1.1 1.1.2 1.2 1.2.1 1.2.2 1.2.3 1.2.4 1.2.5 1.3 1.4 2 Probabilit, p.17 -- 2.1 2.1.1 2.1.2 2.1.3 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 4.11 5 5.1 5.2 5.3 5.4 5.5 5.5.1 5.5.2 5.6 5.7 5.8 6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 7 8.6 8.7 8.7.1 8.7.2 9 7.1 7.2 7.3 7.3.1 7.3.2 7.3.3 7.3.4 7.3.5 -- 7.4 7.4.1 7.4.2 7.4.3 8 8.1 8.1.1 8.1.2 8.1.3 8.1.4 8.1.5 8.2 8.2.1 8.2.2 8.3 8.4 8.5 8.6 8.7 8.7.1 8.7.2 9 9.1 9.1.1 9.1.2 9.1.3 9.1.4 9.1.5 9.1.6 9.2 9.2.1 9.2.2 9.2.3 9.3 9.3.1 9.3.2 9.4 9.4.1 9.4.2 9.5 9.5.1 9.5.2 9.6 9.7 9.8 9.9 9.9.1 9.9.2 9.9.3 9.10 9.11 10 10.1 10.1.1 10.1.2 10.1.3 10.2 10.2.1 10.2.2 10.2.3 10.3 10.3.1 10.3.2 10.3.3 10.4 10.5 10.5.1 10.5.2 10.5.3 10.5.4 10.6 10.6.1 10.6.2 10.6.3 10.7 11 11.1 11.2 11.3 11.4 11.4.1 11.4.2 11.5 11.5.1 11.5.2 11.6 11.7 11.7.1 11.7.2 11.8 11.9 11.10 Multiple Linear Regression, p.310 -- Multiple Linear Regression Model, p.311 -- Introduction, p.311 Least Squares Estimation of the Parameters, p.314 -- Matrix Approach to Multiple Linear Regression, p.316 -- Properties of the Least Squares Estimators, p.321 -- Hypothesis Tests in Multiple Linear Regression, p.322 -- Test for Significance of Regression, p.322 -- Tests on Individual Regression Coefficients and Subsets of Coefficients, p.325 -- Confidence Intervals in Multiple Linear Regression, p.329 -- Confidence Intervals on Individual Regression Coefficients, p.329 -- Confidence Interval on the Mean Response, p.330 -- Prediction of New Observations, p.331 -- Model Adequacy Checking, p.333 -- Residual Analysis, p.333 -- Influential Observations, p.335 -- Aspects of Multiple Regression Modeling, p.337 -- Polynomial Regression Models, p.337 -- Categorical Regressors and Indicator Variables, p.339 -- Selection of Variables and Model Building, p.341 -- Multicollinearity, p.349 -- Design and Analysis of Single-Factor Experiments: The Analysis of Variance, p.351 -- Designing Engineering Experiments, p.352 -- Completely Randomized Single-Factor Experiment, p.353 -- Example: Tensile Strength, p.353 -- Analysis of Variance, p.354 -- Multiple Comparisons Following theANOVA, p.359 -- Residual Analysis and Model Checking, p.361 Determining Sample Size, p.363 -- The Random-Effects Model, p.365 -- Fixed Versus Random Factors, p.365 -- ANOVA and Variance Components, p.365 -- Randomized Complete Block Design, p.368 -- Design and Statistical Analysis, p.368 -- Multiple Comparisons, p.372 -- Residual Analysis and Model Checking, p.373 -- Rational Subgroups, p.441 -- Analysis of Patterns on Control Charts, p.442 -- X and/? or S Control Charts, p.444 -- Control Charts for Individual Measurements, p.450 -- Process Capability, p.452 -- Attribute Control Charts, p.456 -- P Chart (Control Chart for Proportions), p.456 -- U Chart (Control Chart for Defects per Unit), p.458 -- Control Chart Performance, p.460 -- Time-Weighted Charts, p.462 -- Exponentially Weighted Moving-Average Control Chart, p.462 -- Cumulative Sum Control Chart, p.465 -- Other SPC Problem-Solving Tools, p.471 -- Decision Theory, p.473 -- Decision Models, p.473 -- Decision Criteria, p.474 -- Implementing SPC, p.476 Design of Experiments with Several Factors, p.375 -- introduction, p.376 -- Factorial Experiments, p.378 -- Two-Factor Factorial Experiments, p.382 -- Statistical Analysis, p.382 -- Model Adequacy Checking, p.386 -- One Observation per Cell, p.387 -- General Factorial Experiments, p.388 -- k Factorial Designs, p.390 -- 22 Design, p.390 -- 2k Design for k > 3 Factors, p.396 -- Single Replicate of the 2k Design, p.402 -- Addition of Center Points to a 2k Design, p.405 -- Blocking and Confounding in the 2k Design, p.408 -- One-Half Fraction of the 2k Design, p.413 -- Smaller Fractions: The 2k~p Fractional Factorial, p.418 -- Response Surface Methods and Designs, p.425 -- Statistical Quality Control, p.434 -- Ouality Improvement and Statistics, p.435 -- Statistical Quality Control, p.436 -- Statistical Process Control, p.436 -- Introduction to Control Charts, p.436 -- Basic Principles, p.436 -- Design of a Control Chart, p.440 -- Rational Subgroups, p.441 -- Analysis of Patterns on Control Charts, p.442 -- X and/? or S Control Charts, p.444 -- Control Charts for Individual Measurements, p.450 -- Process Capability, p.452 -- Attribute Control Charts, p.456 -- P Chart (Control Chart for Proportions), p.456 -- U Chart (Control Chart for Defects per Unit), p.458 -- Control Chart Performance, p.460 -- Time-Weighted Charts, p.462 -- Exponentially Weighted Moving-Average Control Chart, p.462 -- Cumulative Sum Control Chart, p.465 -- Other SPC Problem-Solving Tools, p.471 -- Decision Theory, p.473 -- Decision Models, p.473 -- Decision Criteria, p.474 -- Implementing SPC, p.476 -- APPENDIX A Statistical Tables and Charts -- Table I Summary of Common Probability Distributions A-4 -- Table II Cumulative Binomial Probabilities P(X < x) A-5 -- Table II Cumulative Standard Normal Distribution A-8 -- Table IV Percentage Points /2 v of the Chi-Square Distribution A-10 -- Table V Percentage Points ta v of the t Distribution A-ll -- Table VI Percentage Points fa Vj of the F Distribution A-12 -- Table VII Operating Characteristic Curves A-17 -- Table VIII Critical Values for the Sign Test A-26 -- Table IX Critical Values for the Wilcoxon Signed-Rank Test A-26 -- Table X Critical Values for the Wilcoxon Rank-Sum Test A-27 -- Table XI Factors for Constructing Variables Control Charts A-28 -- TableXII Factors for Tolerance Intervals A-29 -- APPENDIX B Bibliography A-31 -- APPENDIX C Summary of Confidence Intervals and Hypothesis Testing Equations for One- and Two Sample Applications A-33 12 12.1 12.1.1 12.1.2 12.1.3 12.1.4 12.2 12.2.1 12.2.2 12.3 12.3.1 12.3.2 12.4 12.5 12.5.1 12.5.2 12.6 12.6.1 12.6.2 12.6.3 12.6.4 13 13.1 13.2 13.2.1 13.2.2 13.2.3 13.2.4 13.2.5 13.3 13.3.1 13.3.2 13.4 13.4.1 13.4.2 13.4.3 15.2.3 15.2.4 15.3 15.4 15.5 15.6 15.6.1 15.6.2 15.7 15.8 15.8.1 15.8.2 15.9 15.10 15.10.1 15.10.2 15.11 14 14.1 14.2 14.3 14.3.1 14.3.2 14.3.3 14.4 14.52 14.5.1 14 5.2 14.6 14.7 14.8 14.9 14.10 14.11 15 15.1.1 15.1.2 15.2 15.2.1 15.2.2 15.2.3 15.2.4 15.3 15.4 15.5 15.6 15.6.1 15.6.2 15.7 15.8 15.8.1 15.8.2 15.9 15.10 15.10.1 15.10.2 15.11
9781119585596 1119585597
Statistics.
Probabilities.
519.502462 / MON
Applied statistics and probability for engineers / - Seventh edition, EMEA edition. - Hoboken, N. J. : John Wiley and Sons, Inc., 2018. - xvi, 429 pages : illustrations ; 26 cm.
Includes bibliographical references and index.
The Role of Statistics in Engineering, p.1 -- The Engineering Method and Statistical Thinking, p.2 -- Variability, p.3 -- Populations and Samples, p.5 -- Collecting Engineering Data, p.5 -- Basic Principles, p.5 -- Retrospective Study 5 -- Observational Study, p.6 -- Designed Experiments, p.6 -- Observing Processes Over Time, p.9 -- Mechanistic and Empirical Models, p.12 -- Probability and Probability Models, p.15 -- Sample Spaces and Events, p.18 -- Random Experiments, p.18 -- Sample Spaces, p.19 -- Events, p.21 -- Counting Techniques, p.23 -- Interpretations and Axioms of Probability, p.26 -- Unions of Events and Addition Rules, p.29 -- Conditional Probability, p.31 -- Intersections of Events and Multiplication and Total Probability Rules, p.34 -- Independence, p.36 -- Bayes Theorem, p.39 -- Random Variables, p.40 -- Discrete Random Variables and Probability Distributions, p.42 -- Probability Distributions and Probability Mass Functions, p.43 -- Cumulative Distribution Functions, p.45 Mean and Variance of a Discrete Random Variable, p.47 Discrete Uniform Distribution, p.49 -- Binomial Distribution, p.51 -- Geometric and Negative Binomial Distributions, p.55 -- Hypergeometric Distribution, p.59 -- Poisson Distribution, p.63 -- Continuous Random Variables and Probability Distributions, p.66 -- Probability Distributions and Probability Density Functions, p.67 -- Cumulative Distribution Functions, p.70 -- Mean and Variance of a Continuous Random Variable, p.71 -- Continuous Uniform Distribution, p.72 -- Normal Distribution, p.73 -- Normal Approximation to the Binomial and Poisson Distributions, p.79 -- Exponential Distribution, p.83 -- Erlang and Gamma Distributions, p.86 -- Weibull Distribution, p.89 -- Lognormal Distribution, p.90 -- Beta Distribution, p.92 -- Joint Probability Distributions, p.95 -- Joint Probability Distributions for Two Random Variables, p.96 -- Conditional Probability Distributions and Independence, p.102 -- Joint Probability Distributions for More Than Two Random Variables, p.107 -- Covariance and Correlation, p.110 -- Common Joint Distributions, p.113 -- Multinomial Probability Distribution, p.113 -- Bivariate Normal Distribution, p.115 -- Linear Functions of Random Variables, p.117 -- General Functions of Random Variables, p.120 -- Moment-Generating Functions, p.121 -- Descriptive Statistics, p.126 -- Numerical Summaries of Data, p.127 -- Stem-and-Leaf Diagrams, p.131 -- Frequency Distributions and Histograms, p.135 -- Box Plots, p.139 -- Time Sequence Plots, p.140 -- Scatter Diagrams, p.142 -- Probability Plots, p.144 -- Point Estimation of Parameters and Sampling Distributions, p.148 -- Bootstrap Confidence Interval, p.189 -- Tolerance and Prediction Intervals, p.189 -- Prediction Interval for a Future Observation, p.189 -- Tolerance Interval for a Normal Distribution, p.191 -- Tests of Hypotheses for a Single Sample, p.193 -- Point Estimation, p.149 Sampling Distributions and the Central Limit Theorem, p.150 General Concepts of Point Estimation, p.156 Unbiased Estimators, p.156 Variance of a Point Estimator, p.157 -- Standard Error: Reporting a Point Estimate, p.158 -- Bootstrap Standard Error, p.159 -- Mean Squared Error of an Estimator, p.160 -- Methods of Point Estimation, p.161 -- Method of Moments, p.162 -- Method of Maximum Likelihood, p.163 -- Bayesian Estimation of Parameters, p.167 -- Statistical Intervals for a Single Sample, p.170 -- Confidence Interval on the Mean of a Normal Distribution, Variance Known, p.172 -- Development of the Confidence Interval and Its Basic Properties, p.172 -- Choice of Sample Size, p.175 -- One-Sided Confidence Bounds, p.176 -- General Method to Derive a Confidence Interval, p.176 -- Large-Sample Confidence Interval for p, p.177 -- Confidence Interval on the Mean of a Normal Distribution, Variance Unknown, p.179 -- t Distribution, p.180 -- t Confidence Interval on p, p.181 -- Confidence Interval on the Variance and Standard Deviation of a Normal Distribution, p.182 -- Large-Sample Confidence Interval for a Population Proportion, p.185 -- Guidelines for Constructing Confidence Intervals, p.188 -- Bootstrap Confidence Interval, p.189 -- Tolerance and Prediction Intervals, p.189 -- Prediction Interval for a Future Observation, p.189 -- Tolerance Interval for a Normal Distribution, p.191 -- Tests of Hypotheses for a Single Sample, p.193 -- Hypothesis Testing, p.194 -- Statistical Hypotheses, p.194 -- Tests of Statistical Hypotheses, p.196 -- One-Sided and Two-Sided Hypotheses, p.202 -- P-Values in Hypothesis Tests, p.203 -- Connection between Hypothesis Tests and Confidence Intervals, p.206 -- General Procedure for Hypothesis Tests, p.206 -- Tests on the Mean of a Normal Distribution, Variance Known, p.208 -- Hypothesis Tests on the Mean, p.208 -- Type II Error and Choice of Sample Size, p.211 -- Large-Sample Test, p.215 -- Tests on the Mean of a Normal Distribution, Variance Unknown, p.215 -- Hypothesis Tests on the Mean, p.215 -- Type ll Error and Choice of Sample Size, p.220 -- Tests on the Variance and Standard Deviation of a Normal Distribution, p.222 -- Hypothesis Tests on the Variance, p.222 -- Type II Error and Choice of Sample Size, p.224 -- Tests on a Population Proportion, p.225 -- Large-Sample Tests on a Proportion, p.225 -- Type II Error and Choice of Sample Size, p.227 -- Summary Table of Inference Procedures for a Single Sample, p.229 -- Testing for Goodness of Fit, p.229 -- Contingency Table Tests, p.232 -- Nonparametric Procedures, p.234 -- The Sign Test, p.235 -- The Wilcoxon Signed-Rank Test, p.239 -- Comparison to the t-Test, p.240 -- Equivalence Testing, p.240 -- Combining P-Values, p.242 -- Statistical Inference for Two Samples, p.244 -- Inference on the Difference in Means of Two Normal Distributions, Variances Known, p.245 -- Hypothesis Tests on the Difference in Means, Variances Known, p.247 -- Type II Error and Choice of Sample Size, p.249 -- Confidence Interval on the Difference in Means, Variances Known, p.251 -- Inference on the Difference in Means of Two Normal Distributions, Variances Unknown, p.253 -- Hypotheses Tests on the Difference in Means, Variances Unknown, p.253 -- Type II Error and Choice of Sample Size, p.259 -- Confidence Interval on the Difference in Means, Variances Unknown, p.260 -- A Nonparametric Test for the Difference in Two Means, p.261 -- Description of the Wilcoxon Rank-Sum Test, p.262 -- Large-Sample Approximation, p.263 -- Comparison to the f-Test, p.264 -- Paired t-Test, p.264 -- Inference on the Variances of Two Normal Distributions, p.268 -- F Distribution, p.268 -- Hypothesis Tests on the Equity of Two Variances, p.270 -- Type II Error and Choice of Sample Size, p.272 -- Confidence Interval on the Ratio of Two Variances, p.273 -- Inference on Two Population Proportions, p.273 -- Large-Sample Tests on the Difference in Population Proportions, p.274 -- Type II Error and Choice of Sample Size, p.276 -- Confidence Interval on the Difference in Population Proportions, p.277 -- Summary Table and Road Map for Inference Procedures for Two Samples, p.278 -- Simple Linear Regression and Correlation, p.280 -- Empirical Models, p.281 -- Simple Linear Regression, p.284 -- Properties of the Least Squares Estimators, p.288 -- Hypothesis Tests in Simple Linear Regression, p.288 -- Useoft-Tests, p.289 -- Analysis of Variance Approach to Test Significance of Regression, p.291 -- Confidence Intervals, p.292 -- Confidence Intervals on the Slope and Intercept, p.292 -- Confidence Interval on the Mean Response, p.293 -- Prediction of New Observations, p.295 -- Adequacy of the Regression Model, p.296 -- Residual Analysis, p.296 -- Coefficient of Determination [R2), p.298 -- Correlation, p.299 -- Regression on Transformed Variables, p.303 -- Logistic Regression, p.305 1 1.1 1.1.1 1.1.2 1.2 1.2.1 1.2.2 1.2.3 1.2.4 1.2.5 1.3 1.4 2 Probabilit, p.17 -- 2.1 2.1.1 2.1.2 2.1.3 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 4.11 5 5.1 5.2 5.3 5.4 5.5 5.5.1 5.5.2 5.6 5.7 5.8 6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 7 8.6 8.7 8.7.1 8.7.2 9 7.1 7.2 7.3 7.3.1 7.3.2 7.3.3 7.3.4 7.3.5 -- 7.4 7.4.1 7.4.2 7.4.3 8 8.1 8.1.1 8.1.2 8.1.3 8.1.4 8.1.5 8.2 8.2.1 8.2.2 8.3 8.4 8.5 8.6 8.7 8.7.1 8.7.2 9 9.1 9.1.1 9.1.2 9.1.3 9.1.4 9.1.5 9.1.6 9.2 9.2.1 9.2.2 9.2.3 9.3 9.3.1 9.3.2 9.4 9.4.1 9.4.2 9.5 9.5.1 9.5.2 9.6 9.7 9.8 9.9 9.9.1 9.9.2 9.9.3 9.10 9.11 10 10.1 10.1.1 10.1.2 10.1.3 10.2 10.2.1 10.2.2 10.2.3 10.3 10.3.1 10.3.2 10.3.3 10.4 10.5 10.5.1 10.5.2 10.5.3 10.5.4 10.6 10.6.1 10.6.2 10.6.3 10.7 11 11.1 11.2 11.3 11.4 11.4.1 11.4.2 11.5 11.5.1 11.5.2 11.6 11.7 11.7.1 11.7.2 11.8 11.9 11.10 Multiple Linear Regression, p.310 -- Multiple Linear Regression Model, p.311 -- Introduction, p.311 Least Squares Estimation of the Parameters, p.314 -- Matrix Approach to Multiple Linear Regression, p.316 -- Properties of the Least Squares Estimators, p.321 -- Hypothesis Tests in Multiple Linear Regression, p.322 -- Test for Significance of Regression, p.322 -- Tests on Individual Regression Coefficients and Subsets of Coefficients, p.325 -- Confidence Intervals in Multiple Linear Regression, p.329 -- Confidence Intervals on Individual Regression Coefficients, p.329 -- Confidence Interval on the Mean Response, p.330 -- Prediction of New Observations, p.331 -- Model Adequacy Checking, p.333 -- Residual Analysis, p.333 -- Influential Observations, p.335 -- Aspects of Multiple Regression Modeling, p.337 -- Polynomial Regression Models, p.337 -- Categorical Regressors and Indicator Variables, p.339 -- Selection of Variables and Model Building, p.341 -- Multicollinearity, p.349 -- Design and Analysis of Single-Factor Experiments: The Analysis of Variance, p.351 -- Designing Engineering Experiments, p.352 -- Completely Randomized Single-Factor Experiment, p.353 -- Example: Tensile Strength, p.353 -- Analysis of Variance, p.354 -- Multiple Comparisons Following theANOVA, p.359 -- Residual Analysis and Model Checking, p.361 Determining Sample Size, p.363 -- The Random-Effects Model, p.365 -- Fixed Versus Random Factors, p.365 -- ANOVA and Variance Components, p.365 -- Randomized Complete Block Design, p.368 -- Design and Statistical Analysis, p.368 -- Multiple Comparisons, p.372 -- Residual Analysis and Model Checking, p.373 -- Rational Subgroups, p.441 -- Analysis of Patterns on Control Charts, p.442 -- X and/? or S Control Charts, p.444 -- Control Charts for Individual Measurements, p.450 -- Process Capability, p.452 -- Attribute Control Charts, p.456 -- P Chart (Control Chart for Proportions), p.456 -- U Chart (Control Chart for Defects per Unit), p.458 -- Control Chart Performance, p.460 -- Time-Weighted Charts, p.462 -- Exponentially Weighted Moving-Average Control Chart, p.462 -- Cumulative Sum Control Chart, p.465 -- Other SPC Problem-Solving Tools, p.471 -- Decision Theory, p.473 -- Decision Models, p.473 -- Decision Criteria, p.474 -- Implementing SPC, p.476 Design of Experiments with Several Factors, p.375 -- introduction, p.376 -- Factorial Experiments, p.378 -- Two-Factor Factorial Experiments, p.382 -- Statistical Analysis, p.382 -- Model Adequacy Checking, p.386 -- One Observation per Cell, p.387 -- General Factorial Experiments, p.388 -- k Factorial Designs, p.390 -- 22 Design, p.390 -- 2k Design for k > 3 Factors, p.396 -- Single Replicate of the 2k Design, p.402 -- Addition of Center Points to a 2k Design, p.405 -- Blocking and Confounding in the 2k Design, p.408 -- One-Half Fraction of the 2k Design, p.413 -- Smaller Fractions: The 2k~p Fractional Factorial, p.418 -- Response Surface Methods and Designs, p.425 -- Statistical Quality Control, p.434 -- Ouality Improvement and Statistics, p.435 -- Statistical Quality Control, p.436 -- Statistical Process Control, p.436 -- Introduction to Control Charts, p.436 -- Basic Principles, p.436 -- Design of a Control Chart, p.440 -- Rational Subgroups, p.441 -- Analysis of Patterns on Control Charts, p.442 -- X and/? or S Control Charts, p.444 -- Control Charts for Individual Measurements, p.450 -- Process Capability, p.452 -- Attribute Control Charts, p.456 -- P Chart (Control Chart for Proportions), p.456 -- U Chart (Control Chart for Defects per Unit), p.458 -- Control Chart Performance, p.460 -- Time-Weighted Charts, p.462 -- Exponentially Weighted Moving-Average Control Chart, p.462 -- Cumulative Sum Control Chart, p.465 -- Other SPC Problem-Solving Tools, p.471 -- Decision Theory, p.473 -- Decision Models, p.473 -- Decision Criteria, p.474 -- Implementing SPC, p.476 -- APPENDIX A Statistical Tables and Charts -- Table I Summary of Common Probability Distributions A-4 -- Table II Cumulative Binomial Probabilities P(X < x) A-5 -- Table II Cumulative Standard Normal Distribution A-8 -- Table IV Percentage Points /2 v of the Chi-Square Distribution A-10 -- Table V Percentage Points ta v of the t Distribution A-ll -- Table VI Percentage Points fa Vj of the F Distribution A-12 -- Table VII Operating Characteristic Curves A-17 -- Table VIII Critical Values for the Sign Test A-26 -- Table IX Critical Values for the Wilcoxon Signed-Rank Test A-26 -- Table X Critical Values for the Wilcoxon Rank-Sum Test A-27 -- Table XI Factors for Constructing Variables Control Charts A-28 -- TableXII Factors for Tolerance Intervals A-29 -- APPENDIX B Bibliography A-31 -- APPENDIX C Summary of Confidence Intervals and Hypothesis Testing Equations for One- and Two Sample Applications A-33 12 12.1 12.1.1 12.1.2 12.1.3 12.1.4 12.2 12.2.1 12.2.2 12.3 12.3.1 12.3.2 12.4 12.5 12.5.1 12.5.2 12.6 12.6.1 12.6.2 12.6.3 12.6.4 13 13.1 13.2 13.2.1 13.2.2 13.2.3 13.2.4 13.2.5 13.3 13.3.1 13.3.2 13.4 13.4.1 13.4.2 13.4.3 15.2.3 15.2.4 15.3 15.4 15.5 15.6 15.6.1 15.6.2 15.7 15.8 15.8.1 15.8.2 15.9 15.10 15.10.1 15.10.2 15.11 14 14.1 14.2 14.3 14.3.1 14.3.2 14.3.3 14.4 14.52 14.5.1 14 5.2 14.6 14.7 14.8 14.9 14.10 14.11 15 15.1.1 15.1.2 15.2 15.2.1 15.2.2 15.2.3 15.2.4 15.3 15.4 15.5 15.6 15.6.1 15.6.2 15.7 15.8 15.8.1 15.8.2 15.9 15.10 15.10.1 15.10.2 15.11
9781119585596 1119585597
Statistics.
Probabilities.
519.502462 / MON