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Exam 11: Factorial Designs

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Question 1

Multiple Choice

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Which of the following is a possible outcome from a 2*2 factorial design?

A) two main effects and two interactions
B) a main effect for one factor,no main effect for the other factor,and two interactions
C) no main effect for either factor and one interaction
D) the other three choices are all possible to occur

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Question 2

Multiple Choice

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The following data represent the means for each treatment condition in a two-factor experiment.Note that one mean is not given.Which of the following values would result in no interaction between factors? B1 B2

A) 60
B) 70
C) 80
D) 90

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Question 3

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There are four levels of the second factor in a 3*4*4 factorial design.

A researcher who is examining the effects of temperature and humidity on the eating behavior of rats uses a factorial experiment comparing three different temperatures (70?,80?,and 90?) and two humidity conditions (low and high) .The experiment has ______ level(s) for the temperature factor and a total of ______ treatment conditions.

Which of the following is the correct description for a research study comparing problem solving scores obtained under three different levels of temperature?

In a 3*4 factorial design there are ________ main effect(s) and ________interaction(s) possible.

How many main effects are there in a 2*3 factorial design?

Explain what it means to say that main effects and interactions are all independent.

Order effects can be measured and evaluated with a

A doctor suspects that the effectiveness of a new cholesterol medication depends on the age of the patient.If the doctor is correct,the results from a two-factor study comparing medication versus no-medication for young versus old patients should produce an interaction.

In a matrix representing the structure of a factorial design,the differences between the overall row means define the interaction between the factors.

In a two-factor design,there are two separate interactions.

In a two-factor ANOVA,what is the implication of a significant A*B interaction?

In a factorial experimental design,independent variables are commonly called factors.

A clinician claims that the effectiveness of a new treatment varies depending on the gender of the client.Specifically,the new treatment has been shown to be very effective for females,but the treatment has little or no effect for males.In this example,

It is often possible to reduce the variance in a between-subjects design by using a participant variable such as age or gender as a second factor.

In a two-factor experiment,an interaction can distort the main effects of either or both factors.

A two-factor study compares 2 levels of factor A and 3 levels of factor B with a separate sample of 5 participants in each treatment condition.This study will use a total of 25 participants.

The following data represent the means for each treatment condition in a two factor experiment.Note that one mean is not given.What value for the missing mean would result in no A*B interaction? B1 B2

A two-factor study with two levels of factor A and three levels of factor B uses a separate group of n = 5 participants in each treatment condition.How many participants are needed for the entire study?