|
|
1 | (10) |
|
Three Reasons to Study Statistics |
|
|
1 | (3) |
|
Statistics and Data Analysis |
|
|
4 | (3) |
|
The Nature and Role of Variability |
|
|
7 | (4) |
|
The Data Analysis Process and Collecting Data Sensibly |
|
|
11 | (34) |
|
|
11 | (4) |
|
The Data Analysis Process |
|
|
15 | (2) |
|
Collecting Data Sensibly: Observation and Experimentation |
|
|
17 | (3) |
|
|
20 | (7) |
|
Simple Comparative Experiments |
|
|
27 | (18) |
|
Graphing Calculator Explorations |
|
|
40 | (5) |
|
Graphical Methods for Describing Data |
|
|
45 | (56) |
|
Displaying Categorical Data: Frequency Distributions, Bar Charts, and Pie Charts |
|
|
46 | (10) |
|
Displaying Numerical Data: Dotplots and Stem-and-Leaf Displays |
|
|
56 | (8) |
|
Displaying Numerical Data: Frequency Distributions and Histograms |
|
|
64 | (20) |
|
Interpreting the Results of Statistical Analyses |
|
|
84 | (17) |
|
Graphing Calculator Explorations |
|
|
91 | (10) |
|
Numerical Methods for Describing Data |
|
|
101 | (44) |
|
Describing the Center of a Data Set |
|
|
102 | (10) |
|
Describing Variability in a Data Set |
|
|
112 | (9) |
|
Summarizing a Data Set: Boxplots |
|
|
121 | (5) |
|
Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores |
|
|
126 | (9) |
|
Interpreting the Results of Statistical Analyses |
|
|
135 | (10) |
|
Graphing Calculator Explorations |
|
|
140 | (5) |
|
Summarizing Bivariate Data |
|
|
145 | (80) |
|
|
146 | (6) |
|
|
152 | (14) |
|
Fitting a Line to Bivariate Data |
|
|
166 | (10) |
|
Assessing the Fit of a Line |
|
|
176 | (15) |
|
Nonlinear Relationships and Transformations |
|
|
191 | (17) |
|
Interpreting the Results of Statistical Analyses |
|
|
208 | (17) |
|
Graphing Calculator Explorations |
|
|
213 | (12) |
|
|
225 | (80) |
|
Chance Experiments and Events |
|
|
225 | (10) |
|
The Definition of Probability |
|
|
235 | (8) |
|
Basic Properties of Probability |
|
|
243 | (8) |
|
|
251 | (9) |
|
|
260 | (10) |
|
Some General Probability Rules |
|
|
270 | (12) |
|
Estimating Probabilities Empirically and Using Simulation |
|
|
282 | (23) |
|
Graphing Calculator Explorations |
|
|
297 | (8) |
|
Random Variables and Probability Distributions |
|
|
305 | (96) |
|
|
306 | (3) |
|
Probability Distributions for Discrete Random Variables |
|
|
309 | (7) |
|
Probability Distributions for Continuous Random Variables |
|
|
316 | (5) |
|
The Mean and Standard Deviation of a Random Variable |
|
|
321 | (14) |
|
The Binomial and Geometric Distributions |
|
|
335 | (11) |
|
|
346 | (19) |
|
Checking for Normality and Normalizing Transformations |
|
|
365 | (12) |
|
Using the Normal Distribution to Approximate a Discrete Distribution (Optional) |
|
|
377 | (24) |
|
Graphing Calculator Explorations |
|
|
386 | (15) |
|
Sampling Variability and Sampling Distributions |
|
|
401 | (34) |
|
Statistics and Sampling Variability |
|
|
402 | (9) |
|
The Sampling Distribution of a Sample Mean |
|
|
411 | (11) |
|
The Sampling Distribution of a Sample Proportion |
|
|
422 | (13) |
|
Graphing Calculator Explorations |
|
|
429 | (6) |
|
Estimation Using a Single Sample |
|
|
435 | (42) |
|
|
436 | (7) |
|
A Large-Sample Confidence Interval for a Population Proportion |
|
|
443 | (12) |
|
A Confidence Interval for a Population Mean |
|
|
455 | (14) |
|
Interpreting the Results of Statistical Analyses |
|
|
469 | (8) |
|
Graphing Calculator Explorations |
|
|
474 | (3) |
|
Hypothesis Testing Using a Single Sample |
|
|
477 | (58) |
|
Hypotheses and Test Procedures |
|
|
478 | (4) |
|
Errors in Hypothesis Testing |
|
|
482 | (6) |
|
Large-Sample Hypothesis Tests for a Population Proportion |
|
|
488 | (14) |
|
Hypothesis Tests for a Population Mean |
|
|
502 | (14) |
|
Power and Probability of Type II Error |
|
|
516 | (10) |
|
Interpreting the Results of Statistical Analyses |
|
|
526 | (9) |
|
Graphing Calculator Explorations |
|
|
530 | (5) |
|
Comparing Two Populations or Treatments |
|
|
535 | (64) |
|
Inferences Concerning the Difference Between Two Population or Treatment Means Using Independent Samples |
|
|
535 | (20) |
|
Inferences Concerning the Difference Between Two Population or Treatment Means Using Paired Samples |
|
|
555 | (11) |
|
Large-Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions |
|
|
566 | (9) |
|
Distribution-Free Procedures for Inferences Concerning a Difference Between Two Population or Treatment Means Using Independent Samples (Optional) |
|
|
575 | (9) |
|
Interpreting the Results of Statistical Analyses |
|
|
584 | (15) |
|
Graphing Calculator Explorations |
|
|
592 | (7) |
|
The Analysis of Categorical Data and Goodness-of-Fit Tests |
|
|
599 | (38) |
|
Chi-Squared Tests for Univariate Categorical Data |
|
|
599 | (11) |
|
Tests for Homogeneity and Independence in a Two-Way Table |
|
|
610 | (17) |
|
Interpreting the Results of Statistical Analyses |
|
|
627 | (10) |
|
Graphing Calculator Explorations |
|
|
631 | (6) |
|
Simple Linear Regression and Correlation: Inferential Methods |
|
|
637 | (58) |
|
The Simple Linear Regression Model |
|
|
637 | (13) |
|
Inferences Concerning the Slope of the Population Regression Line |
|
|
650 | (11) |
|
|
661 | (12) |
|
Inferences Based on the Estimated Regression Line (Optional) |
|
|
673 | (8) |
|
Inferences About the Population Correlation Coefficient (Optional) |
|
|
681 | (4) |
|
Interpreting the Results of Statistical Analyses |
|
|
685 | (10) |
|
Graphing Calculator Exploration |
|
|
692 | (3) |
|
Multiple Regression Analysis |
|
|
695 | (58) |
|
Multiple Regression Models |
|
|
696 | (11) |
|
Fitting a Model and Assessing Its Utility |
|
|
707 | (16) |
|
Inferences Based on an Estimated Model |
|
|
723 | (12) |
|
Other Issues in Multiple Regression |
|
|
735 | (18) |
|
|
753 | (54) |
|
Single-Factor ANOVA and the F Test |
|
|
754 | (14) |
|
|
768 | (8) |
|
The F Test for a Randomized Block Experiment |
|
|
776 | (9) |
|
|
785 | (12) |
|
Interpreting the Results of Statistical Analyses |
|
|
797 | (10) |
|
Appendix: ANOVA Computations |
|
|
800 | (5) |
|
Graphing Calculator Exploration |
|
|
805 | (2) |
Appendix: Statistical Tables |
|
807 | (22) |
|
|
808 | (2) |
|
Table II Standard Normal Probabilities (Cumulative z Curve Areas) |
|
|
810 | (2) |
|
Table III t Critical Values |
|
|
812 | (1) |
|
Table IV Tail Areas for t Curves |
|
|
813 | (3) |
|
Table V Curves of β = P(Type II Error) for t Tests |
|
|
816 | (1) |
|
Table VI P-value Information for the Rank-Sum Test |
|
|
817 | (1) |
|
Table VII Values That Capture Specified Upper-Tail F Curve Areas |
|
|
818 | (4) |
|
Table VIII Critical Values q for the Studentized Range Distribution |
|
|
822 | (1) |
|
Table IX Upper-Tail Areas for Chi-Squared Distributions |
|
|
823 | (2) |
|
Table X Binomial Probabilities |
|
|
825 | (4) |
Answers to Selected Odd-Numbered Exercises |
|
829 | (14) |
Index |
|
843 | |