Research Methods for the Behavioral Sciences (MindTap Course List)
6th Edition
ISBN: 9781337613316
Author: Frederick J Gravetter, Lori-Ann B. Forzano
Publisher: Cengage Learning
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Textbook Question
Chapter 11.4, Problem 7LO
Describe three specific applications of the factorial design: (1) adding a factor to an existing study; (2) using a participant variable as a second factor to control the variance in a between-subjects design; and (3) using the order of treatments as a second factor to evaluate the order effects in a within-subjects design; explain the advantage of using a factorial design in these situations.
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Katrina Bell, analyst for the Hexaco Oil Company, has been assigned the task of investigating the claim that Hexaco dealers charge more for unleaded gasoline than do independent dealers. Katrina is afraid that if she chooses two independent random samples of stations for each type of dealer, the variability in price due to geographic location might be a factor. To eliminate this source of variability, she chooses a pair of stations : one independent and one Hexaco in close geographic proximity of each region. The results of the sampling are in Sheet 47. What should Katrina conclude at the 0.01 significance level?
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Chapter 11 Solutions
Research Methods for the Behavioral Sciences (MindTap Course List)
Ch. 11.1 - Define a factorial research design, including the...Ch. 11.2 - Define a main effect for one factor and an...Ch. 11.2 - Explain how the existence of an interaction can...Ch. 11.2 - Describe and explain the independent relationship...Ch. 11.3 - Explain how a factorial study can combine...Ch. 11.3 - Identify the statistical analyses that are...Ch. 11.4 - Describe three specific applications of the...Ch. 11 - In addition to the key words, you should also be...Ch. 11 - In a classic study, Shrauger (1972) examined the...Ch. 11 - Suppose a researcher conducts a two-factor study...
Ch. 11 - The following matrix represents the results (the...Ch. 11 - The following data show the pattern of results...Ch. 11 - Explain why the main effects in a factorial study...Ch. 11 - Explain what is meant by the concept that main...Ch. 11 - In Figure 11.5, we show three combinations of main...Ch. 11 - For a two-factor research study with two levels...Ch. 11 - A researcher would like to use a factorial study...Ch. 11 - A two-factor analysis of variance is used to...Ch. 11 - A researcher has demonstrated that a new...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- The Occupational Safety and Health Administration (OSHA) mandates certain regulations that have to be adopted by corporations. Prior to the implementation of the OSHA program, a company found that for a sample of 40 randomly selected months, the mean employee time lost due to job-related accidents was 45 hours. After implementation of the OSHA program, for a random sample of 45 months, the mean employee time lost due to job-related accidents was 39 hours. It can be assumed that the variability of time lost due to accidents is about the same before and after implementation of the OSHA program (with a standard deviation being 3.5 hours). Find a 90% confidence interval for the difference in the mean time lost due to accidents. Test the hypothesis that implementation of the OSHA program has reduced the mean employee lost time. Use a level of significance of 0.10.arrow_forwardAn analysis of variance produces SSb = 40 and MSb = 20. In this analysis, how many treatment conditions are being compared?arrow_forwardExplain the circumstances under which we would need to pool the variance for an independent samples t-testarrow_forward
- One advantage of using a control group with a placebo inan experiment is that the experiment will beA) better because of the larger number of treatmentgroups.B) better able to account for variability arising fromextraneous factors.C) better able to avoid bias.D) better able to establish which factor is cause andwhich is effect.E) better able detect changes in the response variable.arrow_forwardSuppose that we are counting successes in a Bernoulli process with success rate .8. In 100 independent trials, what is the variance in the number of successes?arrow_forwardFor a two-way ANOVA with Factor A at three levels and Factor B at two levels, construct an interaction plot to illustrate a. a Factor A main effect, but no Factor B main effect and no AB interaction effect. b. a Factor A main effect, a Factor B main effect, but no AB interaction effect. c. an AB interaction effect.arrow_forward
- Consider a study in which the sum of squares based on an experimental group of 10 participants is 70, and the sum of squares based on a control group of 20 participants is 50. The pooled variance of this study isarrow_forwardFor a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 8 participants in each treatment condition, the two means for level A1 are 3 and 5, and the two means for level A2 are 4 and 2. For these data, what is the value of SSbetween treatments?arrow_forwardCompared to an independent-measures design, a repeated-measured study is more likely to find a significant effect because it reduces the contribution of variance due to ____. a. MD b. the effect of the treatment c. degrees of freedom d. individual differencesarrow_forward
- Under what circumstances will the main effects in a factorial study not provide an accurate description of the results?arrow_forward"A large candy manufacturer produces, packages and sells packs of candy targeted to weigh 52 grams. A quality control manager working for the company was concerned that the variation in the actual weights of the targeted 52-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 52-grams and some weighed significantly more than 52 grams. In an attempt to estimate the variance of the weights of all of the 52-gram packs the manufacturer makes, he took a random sample of n = 20 packs off of the factory line. The random sample yielded a sample variance of 3.5 grams. Use 90% confidence level. What is the confidence interval for the variance of the weight of the candy?"arrow_forwardAn analysis of variances produces dftotal = 16 and dfwithin = 14. For this analysis, how many treatment conditions are being compared?arrow_forward
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