Pet preference was compared for four different types of animals (dogs, cats, birds, and fish), using a one-way within-groups ANOVA with nine participants.The standard error was calculated as 0.19.What is the Tukey HSD value when comparing data for dogs and cats given the following means for preference: Dogs M = 4.43, Cats M = 4.18, Birds M = 2.73, Fish M = 4.07?
A) 0.198
B) 0.760
C) 1.190
D) 1.316

Question

Quizplus · Accepted Answer

To calculate Tukey's HSD, we need to find the difference between the means of dogs and cats, and then divide it by the standard error (0.19) and take the absolute value of that result.

The difference between Dogs and Cats means = 4.43 - 4.18 = 0.25

The Tukey HSD value can be calculated as: 
|0.25/0.19| = 1.32

Therefore, the answer is D) 1.316.

Pet Preference Was Compared for Four Different Types of Animals