Final answer:
The Tukey HSD test and the Bonferroni procedure are both post-hoc tests used after a significant one-way within-subjects ANOVA to compare group means. Tukey HSD is used when assumptions of equal variances and equal group sizes are met, while Bonferroni is used when the assumptions are violated or group sizes are unequal.
Step-by-step explanation:
The Tukey HSD test and the Bonferroni procedure are both post-hoc tests that can be used following a significant one-way within-subjects ANOVA. They are used to compare all possible pairs of group means and determine if there are statistically significant differences between them.
The Tukey HSD test is typically used when the assumption of equal variances is met and the group sizes are equal. It controls the family-wise error rate and provides a more conservative adjustment for multiple comparisons.
The Bonferroni procedure is used when the equal variances assumption is violated or when the group sizes are unequal. It controls the experiment-wise error rate by adjusting the significance level for each individual comparison.