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Applied statistics and probability for engineers / Douglas C. Montgomery, George C. Runger. - Seventh edition. - Hoboken : Wiley, 2018. - 1 tom [różna numeracja] : ilustracje ; 26 cm.

Autor

Montgomery Douglas C. (1943- ). Runger George C.

Forma i typ

Książki Publikacje dydaktyczne

Temat

Statystyka.

Gatunek

Podręcznik.

Dziedzina i ujęcie

Inżynieria i technika

Bibliografia. Indeks.

Discrete Random Variables and Probability Distributions Probability Distributions and Probability Mass Functions Cumulative Distribution Functions Mean and Variance of a Discrete Random Variable Discrete Uniform Distribution Binomial Distribution Geometrie and Negative Binomial Distributions Retrospective Study Observational Study Designed Experiments ObservingProcessesOverTime Mechanistic and Empirical Models Probability and Probability Models SampleSpacesand Events Random Experiments SampleSpaces Events CountingTechniquesInterpretations and Axioms of Probability Unions of Events and Addition Rules Conditional Probability Intersections of Events and Multiplication and Total Probability Rules independence Bayes’ Theorem Random Variables The Engineering Method and Statistical Thinking Populationsand Sampies 5 Collecting Engineering Data The Role of Statistics in Engineering Hypergeometric Distribution Poisson Distribution Continuous Random Variables and Probability Distributions Probability Distributions and Probability Density Functions Cumulative Distribution Functions Mean and Variance of a Continuous Random Variable Continuous Uniform Distribution Normal Distribution Normal Approximation to the Binomial and Poisson Distributions Exponential Distribution Erlang and Gamma Distributions Weibull Distribution Lognormal Distribution Beta Distribution Joint Probability Distributions Joint Probability Distributions for Two Random Variables Conditional Probability Distributions and Independence Joint Probability Distributions for More Than Two Random Variables Covariance and Correlation Common Joint Distributions Multinomial Probability Distribution Bivariate Normal Distribution Linear Functions of Random General Functions of Random Variables Moment-Generating Functions Descriptive Statistics NumericalSummariesof Data Frequency Distributions and Histograms Box Plots Time Sequence Plots Scatter Diagrams Probability Plots Point Estimation of Parameters and Sampling Distributions Point Estimation Sampling Distributions and the Central Limit Theorem General Concepts of Point Estimation Unbiased Estimators Variance of a Point Estimator Standard Error: Reportinga Point Estimate Bootstrap Standard Error Mean Squared Error of an Estimator Methodsof Point Estimation Method ofMoments Method of Maximum Likelihood Bayesian Estimation of Parameters Statistical lntervals for a Single Sample Confidence lnterval on the Mean of a Normal Distribution, Variance Known Development of the Confidence lnterval and Its Basic Properties ChoiceofSampleSize One-Sided Confidence Bounds General Method to Derive a Confidence lnterval Large-Sample Confidence lnterval Confidence lnterval on the Mean of a Normal Distribution, Variance Unknown t Distribution t Confidence lnterval Confidence lnterval on the Variance and Standard Deviation of a Normal Distribution Large-Sample Confidence lnterval for a Population Proportion Guidelines for Constructing Confidence lntervals Bootstrap Confidence lnterval Tolerance and Prediction lntervals Prediction lnterval for a Futurę Observation Tolerance lnterval for a Normal Distribution 9 Tests of Hypotheses for a Single Sample HypothesisTesting Statistical Hypotheses Tests of Statistical Hypotheses One-Sided and Two-Sided Hypotheses P-Values in Hypothesis Tests Connection between Hypothesis Tests and Confidence !ntervals General Procedurę for Hypothesis Tests Tests on the Mean of a Normal Distribution, Variance Known Hypothesis Tests on the Mean Type II Errorand Choice of Sample Size Large-Sample Test Tests on the Mean of a Normal Distribution, Variance Unknown Hypothesis Tests on the Mean Type II Error and Choice of Sample Size Tests on the Variance and Standard Deviation of a Normal Distribution

Hypothesis Tests on the Variance Type II Error and Choice of Sample Size Tests on a Population Proportion Large-Sample Tests on a Proportion Type II Errorand Choice of Sample Size Summary Table of Inference Procedures for a Single Sample TestingforGoodnessof Fit Contingency Table Tests Nonparametric Procedures The Sign Test The Wilcoxon Signed-Rank Test Comparisontothet-Test EquivalenceTesting CombiningP-Values Statistical Inference for TwoSamples Inference on the Differencein MeansofTwo Normal Distributions, Variances Known Hypothesis Tests on the Difference in Means, Variances Known Type II Errorand Choice of Sample Size Confidence lnterval on the Difference in Means, Variances Known Inference on the Difference in MeansofTwo Normal Distributions, Variances Unknown Hypotheses Tests on the Difference in Means, Variances Unknown Type II Error and Choice of Sample Size Confidence lnterval on the Difference in Means, Variances Unknown 3 A Nonparametric Test for the Difference inTwo Means Description of the Wilcoxon Rank-Sum Test Large-Sample Approximation Comparisontothef-Test Inference on the Variancesof Two Normal Distributions F Distribution Hypothesis Tests on the Equity of Two Variances Type II Errorand Choice of Sample Size Confidence lntervai on the Ratio of Two Variances Inference on Two Population Proportions Large-Sample Tests on the Difference in Population Proportions Type II Error and Choice of Sample Size Confidence Inten/al on the Difference in Population Proportions SummaryTable and Road Map for Inference =rocedures for TwoSamples Simple Linear Regression and Correlation Empirical Models Simple Linear Regression roperties of the Least Squares Estimators 288 Hypothesis Tests in Simple Linear Regression Useoft-Tests Analysis of Variance Approach to Test Significance of Regression Confidence lntervals Confidence lntervals on the Slope and Intercept Confidence lnterval on the Mean Response Prediction of New Observations Adequacyof the Regression Model Residual Analysis Coefficientof Determination [R2) Correlation Regression on Transformed Variables Logistic Regression Multiple Linear Regression Multiple Linear Regression Model Least Squares Estimation of the Parameters Matrix Approach to Multiple Linear Regression Properties of the Least Squares Estimators Hypothesis Tests in Multiple Linear Regression Test for Significance of Regression Tests on lndividual Regression Coefficients and Subsets of Coefficients Confidence lntervals in Multiple Linear Regression Confidence lntervals on lndividual Regression Coefficients Confidence lnterval on the Mean Response Prediction of New Observations Model Adequacy Checking Residual Analysis Influential Observations Aspectsof Multiple Regression Modeling Polynomial Regression Models Categorical Regressors and Indicator Variabtes Selection of Variables and Model Building Multicollinearity Design and Analysis of Single-Factor Experiments: The Analysis ofVariance Designing Engineering Experiments Completely Randomized Single-Factor Experiment Example:TensileStrength Multiple Comparisons Following the ANOVA Residual Analysis and Model Checking DeterminingSample Size The Random-Effects Model Fixed Versus Random Factors ANOVAand Variance Components Randomized Complete Błock Design Design and Statistical Analysis Multiple Comparisons Residual Analysis and Model Checking Design of Experiments with Several Factors Factorial Experiments Two-Factor Factorial Experiments Statistical Analysis ModelAdequacy Checking One Observation per Celi General Factorial Experiments 2k Factorial Designs 22 Design 2k Design for k > 3 Factors Single Replicate of the 2k Design Addition of Center Points to a 2k Design Blocking and Confounding in the 2k Design One-Half Fractionof the 2k Design Smaller Fractions: The 2k~p Fractional Factorial Response Surface Methods and Designs Statistical Quality Control Quality lmprovement and Statistics Statistical Quality Control Statistical Process Control Introduction to Control Charts Design of a Control Chart Rational Subgroups Analysis of Patterns on Control Charts X and RorS Control Charts Control Charts for lndividual Measurements Process Capability Attribute Control Charts P Chart (Control Chart for Proportions) U Chart (Control Chart for Defects per Unit) Control Chart Performance Time-Weighted Charts Exponentially Weighted Moving-Average Control Chart Cumulative Sum Control Chart OtherSPC Problem-SolvingTools Decision Theory Decision Models Decision Criteria ImplementingSPC Summary of Common Probability Cumulative Binomial Probabilities P(X < x) A-5 Cumulative Standard Normal Distribution Percentage Points %2av of the Chi-Squared Distribution A-10 Percentage Points tal/of the t Distribution Percentage Points fay v of the F Distribution ChartVII OperatingCharacteristicCurves Table VIII Critical Values for the Sign Test Critical Values for the Wilcoxon Signed-RankTest Critical Values for the Wilcoxon Rank-SumTest Factors for Constructing Variables Control Charts A-28 Factors for Tolerance Inten/ais A-29

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