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 cats and birds, given the following means for preference: Dogs M = 4.43, Cats M = 4.18, Birds M = 2.73, Fish M = 4.07?
A) 7.63
B) 6.90
C) 0.13
D) -7.63

Question

Quizplus · Accepted Answer

The Tukey HSD value is calculated using the formula: HSD = q * SE, where q is the studentized range statistic. Here, the difference in means between cats and birds is 4.18 - 2.73 = 1.45. The q value for 4 groups and 9 participants can be found in a q-table, and when multiplied by the standard error (0.19), it results in approximately 7.63.

Pet Preference Was Compared for Four Different Types of Animals