| Topic Number | Major Topic | Text Section(s) | Subtopics |
| 1 |
Probability Theory |
N/A | Overview of probability theory |
| N/A | Overview of the Bayesian Approach |
| 2 |
Review of Sampling Distributions and the Central Limit Theorem |
7.2 | Sampling Distributions Related to the Normal Distribution |
| 7.3 | The Central Limit Theorem |
| 7.4 | Proof of the Central Limit Theorem |
| 3 |
Estimation |
8.2 | Point Estimators: Bias and MSE |
| 8.3 | Common Unbiased Estimators |
| 8.4 | Evaluating Goodness of a Point Estimator |
| 8.5 | Confidence Intervals |
| 8.6 | Large-Sample Confidence Intervals |
| 8.7 | Sample Size |
| 8.8 | Small-Sample Confidence Intervals |
| 8.9 | Confidence Intervals for the Variance |
| N/A | Bayesian Estimation |
| 4 |
Properties of Point Estimators and Methods of Estimation |
9.2 | Relative Efficiency |
| 9.3 | Consistency |
| 9.4 | Sufficiency |
| 9.5 | The Rao-Blackwell Theorem and MVUEs |
| 9.6 | The Method of Moments |
| 9.7 | The Method of Maximum Likelihood |
| 9.8 | Large-Sample Properties of MLEs |
| 5 |
Hypothesis Testing |
10.2 | Elements of a Statistical Test |
| 10.3 | Common Large-Sample Tests |
| 10.4 | Type II Error Probabilities and Sample Size |
| 10.5 | Relationship to Confidence Intervals |
| 10.6 | Reporting Resuults with P-Values |
| 10.7 | Comments on the Theory |
| 10.8 | Small-Sample Hypothesis Testing |
| 10.9 | Testing Hypotheses Concerning Variances |
| 10.10 | The Neyman-Pearson Lemma and Power of Tests |
| 10.11 | Likelihood Ratio Tests |
| 6 |
Linear Models |
11.2 | Linear Statistical Models |
| 11.3 | Least Squares Methods |
| 11.4 | Simple Linear Regression |
| 11.5 | Inferences Concerning the Parameters |
| 11.6 | Inferences Concerning Linear Functions of the Model Parameters |
| 11.7 | Predicting a Particular Y Value |
| 11.8 | Correlation |
| 11.9 | Practical Examples |
| 11.10 | Matrix Formulation of the Linear Model |
| 11.11 | Multiple Linear Regression |
| 11.12 | Inferences Concerning Linear Functions |
| 11.13 | Predicting a Particular Y Value |
| 11.14 | Test for All Parameter Values Equal to Zero |
| 7 |
Experimental Design |
12.1 | The Information in a Sample |
| 12.2 | Designing Experiments to Increase Accuracy |
| 12.3 | The Matched Pairs Experiment |
| 12.4 | Examples |
| 8 |
Analysis of Variance |
13.2 | The ANOVA Procedure |
| 13.3 | Comparing More Than Two Means: The One-Way ANOVA |
| 13.4 | The One-Way ANOVA Table |
| 13.5 | Statistical Model for the One-Way ANOVA |
| 13.7 | Estimation in the One-Way ANOVA |
| 13.8 | Statistical Model for the Randomized Block Design |
| 13.9 | ANOVA for the Randomized Block Design |
| 13.10 | Estimation in the Randomized Block Design |
| 13.11 | Sample Size |
| 13.12 | Simultaneous Confidence Intervals |
| 13.13 | ANOVA Using Linear Models |
| 9 |
Analysis of Categorical Data |
14.1 | The Experiment |
| 14.2 | The Chi-Square Test |
| 14.3 | A Goodness of Fit Test |
| 14.4 | r by c Tables with Fixed Row or Column Totals |
| 14.5 | Other Applications |