A Post Hoc Test Is Conducted to Make Multiple Comparisons

question 13

Multiple Choice

A post hoc test is conducted to make multiple comparisons between the mean scores of three groups of clients in a child guidance center.Group A receives play therapy, only.Group B receives family therapy, only.Group C receives both play and family therapy.The significance level is .05.The p value for the difference between Groups A and B is .66.The p value for the difference between Groups A and C is .01.The p value for the difference between Groups B and C is .01.Which of the following interpretations is most appropriate in light of these results?

• A)Play therapy and family therapy appear to be equally effective.
• B)Play therapy appears to be effective.
• C)Family therapy appears to be effective.
• D)The combination of play and family therapy appears to be more effective than either play therapy alone or family therapy alone.

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Definitions:

Factorial ANOVA

A statistical test used to determine the effect of two or more independent variables on a dependent variable, allowing interaction effects to be assessed.

Independent Variables

Variables in an experiment or model that are manipulated or changed to observe their effects on dependent variables.

Interaction Effects

The influence that the combination of two or more independent variables has on a dependent variable, beyond their individual effects.

Income

The money received, especially on a regular basis, for work or through investments.