| Topic |
Section |
| I. Modeling Data |
|
| |
A. Data and Model, Randomness and Inference |
1.1–1.4 |
| |
B. Types of Data |
3.1, 4.1 |
| |
C. Displaying Data: crosstabulation, histogram, scatterplot |
6.2, 6.3, 6.5, 11.1 |
| |
D. Describing Data: mean, standard deviation, quantiles, boxplot |
6.1, 6.3, 6.4 |
| |
E. Basic Probability: interpretations, rules |
2.1–2.3 |
| |
F. Probability Models: density, mean, variance |
2.8, 3.1–3.4, 4.1–4.4 |
| |
G. Special Distributions: normal, gamma, Weibull, lognormal |
4.5, 4.6, 4.8–4.11 |
| |
H. Density Estimates and Quantile Plots |
6.3, 6.6 |
| |
I. Random Sampling and Simulation |
|
| II. Statistical Inference |
|
| |
A. Estimation of Parameters: mean, standard deviation |
7.1, 7.4 |
| |
B. Sampling Behavior: bias, standard error, normal approximation |
7.2, 7.3, 8.3 |
| |
C. Confidence Intervals: interval for a mean, confidence |
8.1–8.3 |
| |
D. Hypothesis Testing: t-test, hypotheses, p-value, Type I and II errors |
9.1–9.3, 9.6 |
| |
E. Designing a Sample: sample size determination |
8.2, 9.2, 9.3 |
| |
F. Inference for Other Parameters |
8.4, 9.4, 10.1–10.5, 10.7 |
| III. Correlation and Regression |
|
| |
A. Joint Distributions: correlation and independence |
5.1–5.6, 11.8 |
| |
B. Conditional Expectation and Regression |
5.1, 5.2, 11.1 |
| |
C. Estimating Correlation |
11.8 |
| |
D. Straight Line Regression: least squares fit, inference |
11.1–11.6, 11.9 |
| |
E. Residuals Diagnostics |
11.7 |
| |
F. Multiple Linear Regression: estimation, prediction |
12.1–12.4 |
| |
G. Outliers and Influential Values: Studentized residuals, Cook's D |
12.5, 12.6 |
| |
H. Model Fitting and Selection: hypothesis tests, model selection |
12.2, 12.6 |
| IV. Design and Analysis of Experiments |
|
| |
A. Comparing Group Means: analysis of variance, Tukey's test |
13.1, 13.2 |
| |
B. Handling Assumptions: Brown-Forsythe test, Kruskall-Wallis test |
13.2, 15.4, 15.5 |
| |
C. Contrasts |
|
| |
D. Random Effects Model |
13.3 |
| |
E. Factorial Models: interaction |
14.1–14.5 |
| |
F. Randomized Block Design |
13.4 |
| |
G. General Linear Models: covariate analysis |
|
| V. Analysis of Categorical and Count Data |
|
| |
A. Distributions for Counts: binomial, Poisson and multinomial |
3.1–3.9, 4.7, 5.1 |
| |
B. Inference for Proportions |
8.5, 9.5, 10.6 |
| |
C. Categorical Data Analysis: goodness of fit and contingency tests |
9.7, 9.8 |
| |
D. Inference for Percentiles |
15.2 |