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ANOVA / ANCOVA
- Balanced and unbalanced designs
- Missing cells
- Factorial, nested, Latin square, and mixed designs
- Repeated measures
- Box, Greenhouse–Geisser, and Huynh–Feldt corrections
Postestimation after ANOVA
- Tests for effects, including pooling and nonresidual error terms
- Tests for expressions involving the coefficients of the underlying regression
model
- Bonferroni, Holm, and Šidák adjustments for multiple tests
- Ability to display symbolic forms
- Predictions and influence statistics
- Expected values
- Residuals, standardized residuals, studentized residuals
- Standard error of the prediction or residuals
- Leverage
- Cook’s D
- COVRATIO
- DFBETAs
- Diagonal of hat matrix
- Welsch distance
- Diagnostic plots
- Component plus residual
- Augmented component plus residual
- Leverage versus squared residual
- Residual versus fitted
- Residual versus predictor
MANOVA
- Multivariate test statistics
- Wilks’ lambda
- Pillai’s trace
- Lawley–Hotelling trace
- Roy’s largest root
- Balanced and unbalanced designs
- Missing cells
- Factorial, nested, Latin square, and mixed designs
- Repeated measures
Postestimation after MANOVA
- Multivariate tests (Wilks’ lambda, Pillai’s trace, etc.) for
- Terms from the model
- Pooled terms
- Terms (or pooled terms) tested using other terms (or pooled terms) as the
error term
- Linear combinations of the underlying design matrix
- Wald tests of expressions involving the coefficients of the underlying
regression model
- Predictions
- Point estimates
- Standard error of point estimates
- Residuals
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Factor variables
- Automatically create indicators based on categorical variables
- Form interactions among discrete and continuous variables
- Include polynomial terms
- Perform contrasts of categories/levels
Watch Introduction to Factor Variables in Stata
Marginal analysis
- Estimated marginal means
- Marginal and partial effects
- Average marginal and partial effects
- Least-squares means
- Predictive margins
- Adjusted predictions, means, and effects
- Contrasts of margins
- Pairwise comparisons of margins
- Profile plots
- Graphs of margins and marginal effects
Watch Introduction to Margins in Stata
Contrasts
- Analysis of main effects, simple effects, interaction effects, partial
interaction effects, and nested effects
- Comparisons against reference groups, of adjacent levels, or against
the grand mean
- Orthogonal polynomials
- Helmert contrasts
- Custom contrasts
- ANOVA-style tests
- Contrasts of nonlinear responses
- Multiple-comparison adjustments
- Balanced and unbalanced data
- Contrasts of means, intercepts, and slopes
- Graphs of contrasts
- Interaction plots
Pairwise comparisons
- Compare estimated means, intercepts, and slopes
- Compare marginal means, intercepts, and slopes
- Balanced and unbalanced data
- Nonlinear responses
- Multiple-comparison adjustments: Bonferroni, Šidák,
Scheffé, Tukey HSD, Duncan, and Student–Newman–Keuls adjustments
- Group comparisons that are significant
- Graphs of pairwise comparisons
Combinations of estimators
- Linear and nonlinear
- Confidence intervals
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