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What is the relationship between main effects and interactions? ____.


A) ​At least one of the factors involved in the interaction must have a main effect.
B) ​None of the factors in the interaction can have a main effect.
C) All of the factors involved in the interaction must have main effects.
D) ​The existence of an interaction is independent of the main effects.

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The students in one gym class receive a self-esteem program as part of their sports training.To evaluate the program,a researcher measures self-esteem for the students before and after the program and compares their scores with those from another class that did not receive the program but was measured at the same two times.What kind of design is being used?


A) ​between-subjects design
B) ​within-subjects design
C) repeated measures design
D) ​mixed design

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In a two-factor design,an interaction means that the effect of one factor depends on the levels of the second factor.​

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How many independent variables are there in an experimental two-factor design?​


A) ​one
B) ​two
C) three
D) ​four

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In a matrix representing the structure of a factorial design,the mean differences between the rows define the interaction between the factors.​

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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) .How many factors are in the experiment?


A) ​one
B) ​two
C) three
D) ​six

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In order to determine whether factors influence or interact with each other,a researcher must use ____.​


A) ​two experiments
B) ​a factorial design
C) a between-subjects design
D) ​a mixed design

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A two-factor experimental design must involve at least four different treatment conditions.

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The results from a two-factor ANOVA show no main effect for factor A but a significant interaction.What can you conclude based on this pattern of results?


A) ​Factor A has no effect on the participants' scores.
B) ​Factor A may have an effect but, if so, it depends on the levels of factor B.
C) Because the interaction is significant, factor A must also have an effect.
D) ​The effect of factor A is constant across all levels of factor B.

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In a two-factor study,it is possible to have one between-subjects factor and one within-subjects factor.​

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The following data represent the means for each treatment condition in a two-factor experiment.What pattern of results is shown in the data? ​ A1 A2 ​ ​ B1 ​ M = 30 ​ M = 20 ​ B2 ​ M = 40 ​ M = 10


A) ​main effects for both factors and an interaction
B) ​main effects for both factors and no interaction
C) a main effect for factor A, no main effect for factor B, and no interaction
D) ​a main effect for factor A, no main effect for factor B, and no interaction

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In an experiment examining the effects of task difficulty (easy/hard) for men and women,the factors are ____.


A) ​male and female
B) ​easy and hard
C) male, female, easy, and hard
D) ​difficulty and gender

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There are three treatment conditions in a 2x2x2 factorial design.

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In a 2 x 2 between-subjects factorial experiment,there are a total of ____ treatment conditions in the experiment,and each participant serves in ____ condition(s) .​


A) ​2;1
B) ​4;1
C) 2;2
D) ​4;2

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Describe two situations in which factorial designs are commonly used.​

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​There are three specific uses of factor...

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Which statement accurately describes a two-factor analysis of variance?​


A) It conducts one hypothesis test and produces one F-ratio.
B) ​It conducts two separate hypothesis tests and produces two F-ratios.
C) It conducts three separate hypothesis tests and produces three F-ratios.
D) It conducts three separate hypothesis tests with the number of F-ratios produced depending on the number of levels.

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The following data show the means for four treatment conditions as well as the overall means for the columns and the rows.For these data,what numbers are compared to assess the main effect of factor A? ​ A1 A2 M = 25 M = 65 ​ B1 M = 20 M = 60 M = 40 B2 M = 30 M = 70 M = 50


A) ​30; 70
B) ​20; 30
C) 40; 50
D) ​25; 65

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In a 2 x 3 between-subjects factorial experiment,there are ____ groups of participants.​


A) ​two
B) ​three
C) six
D) ​eight

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It is possible for the results of a two-factor study to show an interaction even though there is no main effect for either factor.

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Which outcome is possible in a 2x2 factorial design?​


A) ​four main effects and no interaction.
B) ​four main effects and no interaction
C) no main effect for either factor but an interaction
D) ​four interactions

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