When analyzing data from experiments that involve more than two groups _________.
A) doing t tests on all possible pairs of means decreases the probability of making Type I errors
B) doing t tests on all possible pairs of means increases the probability of making Type I errors
C) it is generally permissible to do t tests between all possible pairs of means and use Student's t distribution
D) doing t tests on all possible pairs of means increases the probability of making Type II errors

Question

Quizplus · Accepted Answer

Doing t tests on all possible pairs of means increases the probability of making Type I errors, which means rejecting the null hypothesis when it is actually true. To avoid this, it is recommended to use ANOVA (analysis of variance) instead, which compares the means of multiple groups simultaneously and provides a more comprehensive analysis. If ANOVA yields significant results, post-hoc tests (such as Tukey's HSD or Bonferroni correction) can be used to determine which specific groups are significantly different from each other.

When Analyzing Data from Experiments That Involve More Than Two