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MANE 6313, Spring 2026

Module B - Residual Analysis

MANE 6313¶

Week 14, Module B¶

Student Learning Outcome¶

Select an appropriate experimental design with one or more factors,
Select an appropriate model with one or more factors,
Evaluate statistical analyses of experimental designs,
Assess the model adequacy of any experimental design, and
Interpret model results.

Module Learning Outcome¶

Appraise Model Assumptions Using Residual Analysis

Normality Assumption¶

Standardized Residuals¶

Your instructor could not make rstandard() function work with residuals from rsm() model
The code to create standardized residuals is shown below

rmse.model2 <- sqrt(sum(ccd1.model2$residuals^2)/ccd1.model2$df.residual)
model2.stdres <- ccd1.model2$residuals/rmse.model2

Residuals vs. Fitted Values¶

Residuals vs. x1¶

Residuals vs. x2¶

Residuals vs. x3¶

Residuals vs. x4¶

Residuals vs. x5¶