STA 363 Midterm

block design

randomly allocate treatments to experimental units within a block

Tukey Multiple Comparisons

a post-hoc test used to determine which means are significantly different after ANOVA.

Box-Cox power transformation

Used to address problems with homogeneous error variance in a fitted module.

In designed studies we use blocking in order to what?

Control for potential confounding variables

What is the purpose of the ANOVA F-test in multiple regression?

Statistically test if the fitted model improves over the null model: Y =β0 + ε.

What is the proper order of events when performing an analysis using models?

EDA → fit model → check/address assumptions → use model for inference

What does the ANOVA F-test statistic measure?

The ratio of the variability explained by the model to the variability left unexplained

F-statistic

Tests the null hypothesis that all regression coefficients are equal to zero.