The following data represent the means for each treatment condition in a two-factor experiment

Research Methods - Ch. 8: Complex Research Designs: Factorial Designs

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

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

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

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

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).

How many independent variables are there in a 2 x 2 x 2 factorial design?

A two-factor study comparing task performance for males versus females (factor 1) for three different levels of task difficulty (factor 2) would be described as a 2 x 3 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 ____

A graph of a two-factor study indicates an interaction when the lines on the graph ____.

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 produc

When the means for a two-factor study are displayed in a graph and the lines in the graph are perfectly parallel, what can you conclude about the main effects and interaction?

There is no interaction between factors.

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

The existence of an interaction is independent of the main effects.

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

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?

Factor A may have an effect but, if so, it depends on the levels of factor B.

The advantage of a two-factor design compared to two single-factor designs is the ability to ____.

In a matrix representing the structure of a factorial design, the mean differences among the columns define ____.

the main effect for one factor

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

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?

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 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 main effect for factor B?

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?

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
B1 M = 20. M = 60. M = 40
B2. M = 30. M = 70.

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 effect for factor A, no main effect for factor B, and an interaction

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 = 20. M = 40
B2. M = 20 M = 40

a main effect for factor A, no main effect for factor B, and no interaction

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 = 20. M = 20
B2. M = 30. M = 50

main effects for both factors and an interaction

73.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 main effectfor factor B?B1B2A12010A240?a.20c.40b.30d.508

74.The results from a two-factor analysis of variance show a significant main effect for factor A and asignificant main effect for factor B. Based on this information, what can you conclude about theinteraction?

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75.In the second stage of the repeated-measures ANOVA, individual differences are removed from thedenominator of the F-ratio.

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77.Because the repeated-measures ANOVA removes variance caused by individual differences, itusually is more likely to detect a treatment effect than the independent-measures ANOVA is.

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Research Methods for the Behavioral Sciences

Forzano/Gravetter

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b.False78.A two-factor analysis of variance with 2 levels of factor A and 3 levels of factor B involves sixseparate hypothesis tests.a.Trueb.False9

80.A new laundry detergent is supposed to be equally superior to the leading brand in both hot and coldwater. If the new detergent works as predicted, then there should be an interaction between the brand ofdetergent and the temperature of the water.

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1. A sample is selected from a population withµ= 50. After a treatment is administered to theindividuals in the sample, the mean is found to be M = 55 and the variance is s2= 64.

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2.For the following data from a repeated-measures study:a. Find the difference scoresb. Calculate MDand the variance for the difference scoresc.Calculate the estimated standard error for the mean differenceSubjectTreatment 1Treatment 2A12B6C8D93.The following data are from an independent-measures experiment comparing two treatmentconditions:Treatment 1Treatment 26191381841013124141119511141610119

a.Do these data indicate a significant difference between the treatments at the .05 level ofsignificance?b.Compute r2to measure the size of the treatment effect.c.Write a sentence demonstrating how the outcome of the hypothesis test and the measureof effect size would appear in a research report.4.A major company would like to assess the impact of using a professional trainer to conduct aconfidence-building workshop with its salespeople. A sample of 16 workers is obtained. Half (n= 8) attend the workshop and the other half (n= 8) serves as a control group. Two weeks later,each of the participants is given a questionnaire measuring the level of self-confidence. The dataare as follows:ControlsWorkshopM = 17.5M = 22.7SS = 100SS = 124Use the sample data to construct an 80% confidence interval for the mean difference inconfidence between the control group and the workshop conditions.

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