Statistical Model Diagnostics
Instruction: Discuss the methods for diagnosing the fit of a statistical model in R, including residual analysis and goodness-of-fit tests.
Context: This question assesses the candidate's understanding of model evaluation techniques, critical for validating the assumptions and accuracy of statistical models.
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Residual Analysis: One of the fundamental approaches I employ in diagnosing the fit of a statistical model is through residual analysis. Residuals, the differences between observed and predicted values, offer insightful information about the accuracy and appropriateness of a model. In R, I often use the residuals() function or directly subtract predicted values from observed values to calculate residuals...