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| Preface | |
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| Introduction to Statistics and Data Analysis | |
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| Overview: Statistical Inference, Samples, Populations, and Experimental Design | |
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| The Role of Probability | |
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| Sampling Procedures | |
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| Collection of Data | |
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| Measures of Location: The Sample Mean | |
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| Measures of Variability | |
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| Discrete and Continuous Data | |
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| Statistical Modeling, Scientific Inspection, and Graphical Diagnostics | |
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| Graphical Methods and Data Description | |
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| Probability | |
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| Sample Space | |
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| Events | |
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| Counting Sample Points | |
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| Probability of an Event | |
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| Additive Rules | |
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| Conditional Probability | |
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| Multiplicative Rules | |
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| Bayes' Rule | |
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| Random Variables and Probability Distributions | |
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| Concept of a Random Variable | |
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| Discrete Probability Distributions | |
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| Continuous Probability Distributions | |
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| Joint Probability Distributions | |
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| Mathematical Expectation | |
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| Mean of a Random Variable | |
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| Variance and Covariance | |
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| Means and Variances of Linear Combinations of Random Variables | |
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| Chebyshev's Theorem | |
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| Some Discrete Probability Distributions | |
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| Discrete Uniform Distribution | |
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| Binomial and Multinomial Distributions | |
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| Hypergeometric Distribution | |
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| Negative Binomial and Geometric Distributions | |
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| Poisson Distribution and the Poisson Process | |
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| Some Continuous Probability Distributions | |
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| Continuous Uniform Distribution | |
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| Normal Distribution | |
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| Areas Under the Normal Curve | |
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| Applications of the Normal Distribution | |
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| Normal Approximation to the Binomial | |
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| Gamma and Exponential Distributions | |
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| Applications of the Exponential and Gamma Distributions | |
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| Chi-Squared Distribution | |
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| Lognormal Distribution | |
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| Weibull Distribution | |
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| Functions of Random Variables (Optional) | |
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| Transformations of Variables | |
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| Moments and Moment-Generating Functions | |
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| Fundamental Sampling Distributions and Data Descriptions | |
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| Random Sampling | |
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| Some Important Statistics | |
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| Data Displays and Graphical Methods | |
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| Sampling Distributions | |
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| Sampling Distribution of Means | |
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| Sampling Distribution of S2 | |
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| T-Distribution | |
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| F-Distribution | |
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| One- and Two-Sample Estimation Problems | |
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| Statistical Inference | |
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| Classical Methods of Estimation | |
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| Single Sample: Estimating the Mean | |
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| Standard Error of a Point Estimate | |
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| Prediction Interval | |
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| Tolerance Limits | |
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| Two Samples: Estimating the Difference Between Two Means | |
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| Paired Observations | |
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| Single Sample: Estimating a Proportion | |
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| Two Samples: Estimating the Difference Between Two Proportions | |
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| Single Sample: Estimating the Variance | |
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| Two Samples: Estimating the Ratio of Two Variances | |
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| Bayesian Methods of Estimation (Optional) | |
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| Maximum Likelihood Estimation (Optional) | |
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| One- and Two-Sample Tests of Hypotheses | |
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| Statistical Hypotheses: General Concepts | |
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| Testing a Statistical Hypothesis | |
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| One- and Two-Tailed Tests/ The Use of P/D-Values for Decision Making | |
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| Single Sample: Tests Concerning a Single Mean (Variance Known) | |
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| Relationship to Confidence Interval Estimation | |
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| Single Sample: Tests on a Single Mean (Variance Unknown) | |
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| Two Samples: Tests on Two Means | |
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| Choice of Sample Size for Testing Means | |
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| Graphical Methods for Comparing Means | |
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| One Sample: Test on a Single Proportion | |
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| Two Samples: Tests on Two Proportions | |
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| One- and Two-Sample Tests Concerning Variances | |
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| Goodness-of-Fit Test | |
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| Test for Independence (Categorical Data) | |
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| Test for Homogeneity | |
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| Testing for Several Proportions | |
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| Two-Sample Case Study | |
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| Simple Linear Regression and Correlation | |
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| Introduction to Linear Regression | |
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| Simple Linear Regression | |
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| Least Squares and The Fitted Model | |
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| Properties of the Least Squares Estimators | |
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| Inferences Concerning the Regression Coefficients | |
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| Prediction | |
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| Choice of a Regression Model | |
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| Analysis-of-Variance Approach | |
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| Test for Linearity of Regression: Data with Repeated Observations | |
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| Data Plots and Transformations | |
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| Simple Linear Regression Case Study | |
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| Correlation | |
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| Multiple Linear Regression and Certain Nonlinear Regression Models | |
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| Estimating the Coefficients | |
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| Linear Regression Model Using Matrices (Optional) | |
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| Properties of the Least Squares Estimators | |
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| Inferences in Multiple Linear Regression | |
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| Choice of a Fitted Model Through Hypothesis Testing | |
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| Special Case of Orthogonality (Optional) | |
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| Categorical or Indicator Variables | |
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| Sequential Methods for Model Selection | |
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| Study of Residuals and Violation of Assumptions | |
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| Cross Validation, Cvp, and Other Criteria for Model Selection | |
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| Special Nonlinear Models for Nonideal Conditions | |
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| One Factor Experiments: General | |
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| Analysis-of-Variance Technique | |
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| The Strategy of Experimental Design | |
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| One-Way Analysis of Variance: Completely Randomized Design | |
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| Tests for the Equality of Several Variances | |
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| Single-Degree-of-Freedom Comparisons | |
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| Multiple Comparisons | |
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| Comparing Treatments with a Control | |
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| Comparing a Set of Treatments in Blocks | |
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| Randomized Complete Block Designs | |
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| Graphical Methods and Further Diagnostics | |
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| Latin Squares (Optional) | |
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| Random Effects Models | |
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| Power of Analysis-of-Variance Tests | |
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| Case Study | |
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| Factorial Experiments (Two or More Factors) | |
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| Interaction and the Two-Factor Experiment | |
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| Two-Factor Analysis of Variance | |
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| Graphical Analysis in the Two-Factor Problem | |
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| Three-Factor Experiments | |
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| Model II and III Factorial Experiments | |
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| Choice of Sample Size | |
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| 2k Factorial Experiments and Fractions | |
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| 15 | |
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| Analysis of Variance and the Calculation of Effects | |
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| Nonreplicated 2k Factorial Experiment | |
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| Injection Molding Case Study | |
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| Factorial Experiments in Incomplete Blocks | |
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| Partial Confounding | |
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| Factorial Experiments in a Regression Setting | |
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| The Orthogonal Design | |
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| Fractional Factorial Experiments | |
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| Analysis of Fractional Factorial Experiments | |
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| Higher Fractions and Screening Designs | |
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| Construction of Resolution III and IV Designs with 8,16, and 32 Design Points | |
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| Other Two-Level Resolution III Designs | |
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| The Plackett-Burman Designs | |
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| Taguchi's Robust Parameter Design | |
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| Nonparametric Statistics | |
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| Nonparametric Tests | |
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| Sign Test | |
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| Signed-Rank Test | |
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| Rank-Sum Test | |
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| Kruskal-Wallis Test | |
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| Tolerance Limits | |
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| Rank Correlation Coefficient | |
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| Statistical Quality Control | |
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| Nature of the Control Limits | |
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| Purposes of the Control Chart | |
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| Control Charts for Variables | |
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| Control Charts for Attributes | |
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| Cusum Control Charts | |
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| Bibliography | |
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| Appendix: Statistical Tables and Proofs of Some Theoretical Results | |