Overview and Descriptive Statistics | p. 1 |
Introduction | p. 1 |
Populations, Samples, and Processes | p. 3 |
Pictorial and Tabular Methods in Descriptive Statistics | p. 11 |
Measures of Location | p. 28 |
Measures of Variability | p. 36 |
Supplementary Exercises | p. 48 |
Bibliography | p. 51 |
Probability | p. 52 |
Introduction | p. 52 |
Sample Spaces and Events | p. 53 |
Axioms, Interpretations, and Properties of Probability | p. 58 |
Counting Techniques | p. 67 |
Conditional Probability | p. 75 |
Independence | p. 86 |
Supplementary Exercises | p. 92 |
Bibliography | p. 96 |
Discrete Random Variables and Probability Distributions | p. 97 |
Introduction | p. 97 |
Random Variables | p. 98 |
Probability Distributions for Discrete Random Variables | p. 101 |
Expected Values of Discrete Random Variables | p. 111 |
The Binomial Probability Distribution | p. 120 |
Hypergeometric and Negative Binomial Distributions | p. 128 |
The Poisson Probability Distribution | p. 135 |
Supplementary Exercises | p. 140 |
Bibliography | p. 144 |
Continuous Random Variables and Probability Distributions | p. 145 |
Introduction | p. 145 |
Continuous Random Variables and Probability Density Functions | p. 146 |
Cumulative Distribution Functions and Expected Values | p. 152 |
The Normal Distribution | p. 160 |
The Gamma Distribution and Its Relatives | p. 174 |
Other Continuous Distributions | p. 181 |
Probability Plots | p. 188 |
Supplementary Exercises | p. 199 |
Bibliography | p. 204 |
Joint Probability Distributions and Random Samples | p. 205 |
Introduction | p. 205 |
Jointly Distributed Random Variables | p. 206 |
Expected Values, Covariance, and Correlation | p. 219 |
Statistics and Their Distributions | p. 225 |
The Distribution of the Sample Mean | p. 237 |
The Distribution of a Linear Combination | p. 243 |
Supplementary Exercises | p. 249 |
Bibliography | p. 252 |
Point Estimation | p. 253 |
Introduction | p. 253 |
Some General Concepts of Point Estimation | p. 254 |
Methods of Point Estimation | p. 269 |
Supplementary Exercises | p. 278 |
Bibliography | p. 279 |
Statistical Intervals Based on a Single Sample | p. 281 |
Introduction | p. 281 |
Basic Properties of Confidence Intervals | p. 282 |
Large-Sample Confidence Intervals for a Population Mean and Proportion | p. 291 |
Intervals Based on a Normal Population Distribution | p. 299 |
Confidence Intervals for the Variance and Standard Deviation of a Normal Population | p. 308 |
Supplementary Exercises | p. 311 |
Bibliography | p. 314 |
Tests of Hypotheses Based on a Single Sample | p. 315 |
Introduction | p. 315 |
Hypotheses and Test Procedures | p. 316 |
Tests About a Population Mean | p. 326 |
Tests Concerning a Population Proportion | p. 339 |
P-Values | p. 344 |
Some Comments on Selecting a Test Procedure | p. 352 |
Supplementary Exercises | p. 356 |
Bibliography | p. 359 |
Inferences Based on Two Samples | p. 354 |
Introduction | p. 354 |
z Tests and Confidence Intervals for a Difference Between Two Population Means | p. 361 |
The Two-Sample t Test and Confidence Interval | p. 372 |
Analysis of Paired Data | p. 381 |
Inferences Concerning a Difference Between Population Proportions | p. 391 |
Inferences Concerning Two Population Variances | p. 399 |
Supplementary Exercises | p. 403 |
Bibliography | p. 409 |
The Analysis of Variance | p. 410 |
Introduction | p. 410 |
Single-Factor ANOVA | p. 411 |
Multiple Comparisons in ANOVA | p. 422 |
More on Single-Factor ANOVA | p. 428 |
Supplementary Exercises | p. 438 |
Bibliography | p. 440 |
Multifactor Analysis of Variance | p. 441 |
Introduction | p. 441 |
Two-Factor ANOVA with K[subscript ij] = 1 | p. 442 |
Two-Factor ANOVA with K[subscript ij] [greater than sign] 1 | p. 456 |
Three-Factor ANOVA | p. 465 |
2[superscript p] Factorial Experiments | p. 476 |
Supplementary Exercises | p. 491 |
Bibliography | p. 494 |
Simple Linear Regression and Correlation | p. 496 |
Introduction | p. 496 |
The Simple Linear Regression Model | p. 497 |
Estimating Model Parameters | p. 505 |
Inferences About the Slope Parameter beta[subscript 1] | p. 520 |
Inferences Concerning [mu subscript Y[middle dot]x*] and the Prediction of Future Y Values | p. 530 |
Correlation | p. 538 |
Supplementary Exercises | p. 549 |
Bibliography | p. 554 |
Nonlinear and Multiple Regression | p. 555 |
Introduction | p. 555 |
Aptness of the Model and Model Checking | p. 556 |
Regression with Transformed Variables | p. 564 |
Polynomial Regression | p. 576 |
Multiple Regression Analysis | p. 587 |
Other Issues in Multiple Regression | p. 612 |
Supplementary Exercises | p. 626 |
Bibliography | p. 632 |
Goodness-of-Fit Tests and Categorical Data Analysis | p. 633 |
Introduction | p. 633 |
Goodness-of-Fit Tests When Category Probabilities Are Completely Specified | p. 634 |
Goodness-of-Fit Tests for Composite Hypotheses | p. 642 |
Two-Way Contingency Tables | p. 655 |
Supplementary Exercises | p. 663 |
Bibliography | p. 666 |
Distribution-Free Procedures | p. 667 |
Introduction | p. 667 |
The Wilcoxon Signed-Rank Test | p. 668 |
The Wilcoxon Rank-Sum Test | p. 677 |
Distribution-Free Confidence Intervals | p. 684 |
Distribution-Free ANOVA | p. 689 |
Supplementary Exercises | p. 693 |
Bibliography | p. 695 |
Quality Control Methods | p. 696 |
Introduction | p. 696 |
General Comments on Control Charts | p. 697 |
Control Charts for Process Location | p. 699 |
Control Charts for Process Variation | p. 708 |
Control Charts for Attributes | p. 713 |
CUSUM Procedures | p. 718 |
Acceptance Sampling | p. 727 |
Supplementary Exercises | p. 733 |
Bibliography | p. 734 |
Tables | p. 735 |
Cumulative Binomial Probabilities | p. 736 |
Cumulative Poisson Probabilities | p. 738 |
Standard Normal Curve Areas | p. 740 |
The Incomplete Gamma Function | p. 742 |
Critical Values for t Distributions | p. 743 |
Tolerance Critical Values for Normal Population Distributions | p. 744 |
Critical Values for Chi-Squared Distributions | p. 745 |
t Curve Tail Areas | p. 746 |
Critical Values for F Distributions | p. 748 |
Critical Values for Studentized Range Distributions | p. 754 |
Chi-Squared Curve Tail Areas | p. 755 |
Critical Values for the Ryan-Joiner Test of Normality | p. 757 |
Critical Values for the Wilcoxon Signed-Rank Test | p. 758 |
Critical Values for the Wilcoxon Rank-Sum Test | p. 759 |
Critical Values for the Wilcoxon Signed-Rank Interval | p. 760 |
Critical Values for the Wilcoxon Rank-Sum Interval | p. 761 |
[beta] Curves for t Tests | p. 762 |
Answers to Odd-Numbered Exercises | p. 763 |
Index | p. 785 |
Table of Contents provided by Ingram. All Rights Reserved. |