Suppose you conducted a study and obtained mean scores on a measure of stress fo

Question

Suppose you conducted a study and obtained mean scores on a measure of stress for 4 groups of people: (1) married, no children; (2) married, raising children; (3) not married, no children; and (4) not married, raising children.

You decide to perform planned comparisons between groups, instead of conducting an ANOVA. You plan to make 3 different comparisons:

(A) Compare all married people to all unmarried people (aggregate of groups 1 and 2 vs. aggregate of groups 3 and 4)
(B) Compare married people raising vs. not raising children (group 1 vs. group 2)
(C) Compare unmarried people raising vs. not raising children (group 3 vs. group 4)

Is this set of planned comparisons orthogonal?

Select one:

a. Orthogonal

b. Not orthogonal

Explanation / Answer

A) Orthogonal because comparison among means provide independent information (all married people to all unmarried people).

B) Not orthogonal because comparison among means does not provide independent information (married people raising vs. not raising children).

C) Not orthogonal because comparison among means does not provide independent information (unmarried people raising vs. not raising children).

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