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Diagnostic plot

As explained in Statistics Slam Dunk

A diagnostic plot is a graphical display used to evaluate whether a fitted statistical model satisfies key assumptions and adequately represents the data.

A diagnostic plot evaluates whether a fitted statistical model satisfies important assumptions. For a one-way ANOVA, Residuals vs. Fitted and Normal QQ plots provide focused checks for equal variances and residual normality. section 14.5.2

Read the plots as evidence about model fit:

  • Residuals represent each team’s difference from the mean standardized wins for its scoring category; positive values exceed that category mean, while negative values fall below it. section 14.5.2
  • Residuals should be similarly dispersed across fitted-value levels when the equal-variances assumption is reasonable. section 14.5.2
  • The Normal QQ plot supplies a visual clue about whether residuals follow a normal pattern. section 14.5.2

NBA ANOVA check

After fitting an ANOVA for standardized wins by offensive-points category, use plot(fit1, which = c(2, 1)) to display only the Normal QQ and Residuals vs. Fitted plots. Unequal residual spread at the highest fitted values suggests that equal variances may be violated, though not significantly. section 14.5.2

How Statistics Slam Dunk covers it

How deep it goes
Explains two selected plots and interprets variance patterns, while stopping short of broader diagnostic procedures.
Examples
Uses NBA team wins, scoring categories, residuals, and selected R diagnostic panels.
What it assumes
Assumes fitted ANOVA output and residual terminology, while defining residuals through team-level deviations from category means.
What you can do after
Diagnose/debug with it by checking residual dispersion and normality after fitting an ANOVA.
How it connects
Connects residuals, fitted values, equal variances, normality, and one-way ANOVA.

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This explainer was generated by Manning's knowledge graph from the text of Statistics Slam Dunk. The section links point to the parts of the book it draws on.