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BTM8106-8-3 Jackson, Even-Numbered Chapter Exercises

Exercises covering statistical and research methods in business.

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BTM8106-8-31BTM8106-8-3JACKSON, EVEN-NUMBERED CHAPTER EXERCISES, PP. 308-310.2. What is the difference between a randomized ANOVA and a repeated measuresANOVA?What does the term one-way mean with respect to an ANOVA?A one-way randomized ANOVA is an inferential statistical test used to compare themeans of three or more groups using a between-subjects design and one independent variable(Jackson, 2012). A one-way repeated measures ANOVA is an inferential statistical test thatcompares the means of three or more groups using a correlated groups design and oneindependent variable (Jackson, 2012):a test to detect any overall differences between relatedmeans.The participants are either the same individuals tested on three or more occasions on thesame dependent variable or the same individuals tested under three or more different conditionson the same dependent variable (Laerd,2015).However, randomized ANOVA’s indicatethatsubjectsarerandomly assigned to conditions (Jackson, 2012).The one-way ANOVA compares the means between the groups and determines whetherany of those means are significantly different from each other. Specifically, it tests the nullhypothesis. The one-way ANOVA cannot tell which specific groups were significantly differentfrom each other, only that at least two groups were (Laerd, 2015).4.If a researcher decides to use multiple comparisons in a study with three conditions, what isthe probability of a Type I error across these comparisons? Use the Bonferroni adjustment todetermine the suggested alpha level.The formula 1-(1-.05)/ 3isused to determinetheprobability ofaType I error whenmaking multiple comparisons:there is a 14% chance of a Type I error. Using the Bonferroniadjustment, the suggested alpha levelis.05/ 3.The suggested alpha level is .017.6.When should post hoc comparisons be performed?Post hoc tests should be performed when there are three or more groups being compared,and theF-ratio is significant (Jackson, 2012).Post-hoc testsare usedto control the error rate

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BTM8106-8-32(alpha = 0.05),similarlythe one-wayANOVA’s areused,and usually after the study has beenconducted.8.Why is a repeated measures ANOVA statistically more powerful than a randomizedANOVA?When the same participants are used in all conditions, their individual differences;factorscontributing to error variance, are removed.Because error variance represents the denominator intheF-ratio, a smaller number is used in dividing and the answer results in a larger finalF-ratio(Jackson, 2012).Therefore, repeated-measuresANOVA’s aremore sensitive tonegligibledifferences between groups than randomized ANOVA’s(Jackson, 2012).10. In a study of the effects of stress on illness, a researcher tallied the number of colds peoplecontracted during a 6-month period as a function of the amount of stress they reported duringthat same time period. There were three stress levels: minimum, moderate, and high stress.The sums of squares appear in the following ANOVA summary table. The mean for achcondition and the number of subjects per condition are also noted.SourcedfSSMSFBetween groups22.167Within groups14.750Total36.917Stress LevelMeanNMinimal34Moderate44High6410a.Complete the ANOVA summary table.SourcedfSSMSFBetween groups222.16711.086.76Within groups914.7501.64Total1136.91710b.Is Fobt significant atα= .05; atα= .01?Yes, F (2, 9) = 6.76, p< .05.
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Document Details

University
Northcentral University
Course
BTM 8106
Subject
Business Management

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