BTM8107-8 Repeated Measures

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BTM8107-8-61NORTHCENTRAL UNIVERSITYASSIGNMENT COVER SHEETStudent:Based on your analysis of the one-way repeated measures ANOVA for both test scores over a12-week period and anxiety levels of inmates concerning job loss duringincarceration, answerthe following questions:1.Analysis of Normality and Outliers:oDiscuss how you assessed the assumption of normality for your dependentvariable in both parts of the study (test scores and anxiety levels). How did youhandle anyoutliers that you identified?oWord count: 300 words.2.Interpretation of Sphericity Violation and Post Hoc Tests:oExplain how the assumption of sphericity was tested in your study, and the impactof the violation of this assumption on the results of therepeated measuresANOVA. Describe the post hoc tests you conducted to explore differencesbetween levels of the within-subjects factor and summarize your findings.oWord count: 400 words.3.Statistical Significance and Practical Implications:oIn the case of both the test scores and the anxiety study, how did you interpret thestatistical significance of the ANOVA results? Discuss the practical implicationsof these findings in relation to the research questions you were investigating.oWord count: 300 words.

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BTM8107-8-62THIS FORM MUST BE COMPLETELY FILLED INFollow these procedures:If requested by your instructor, please include an assignment coversheet. This will become the first page of your assignment. In addition, your assignment headershould include your last name, first initial, course code, dash, and assignment number. Thisshould be left justified, with the page number right justified. For example:DoeJXXX0000-11Save a copy of your assignments:You may need to re-submit an assignment at yourinstructor’s request. Make sure you save your files in accessible location.Academic integrity:All work submitted in each course must be your own original work. Thisincludes all assignments, exams, term papers, and other projects required by your instructor.BTM8107-8Statistics IIRepeated MeasuresFaculty Use Only

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BTM8107-8-63Repeated MeasuresBTM8107-8IntroductionThe one-way repeated measures analysis of variance (ANOVA) is an extension of thepaired-samples t-test and is used to determine whether there are any statistically significantdifferences between the population means of three or more levels of a within-subjects factor.The"within-subjects" part simply means that the same participants are either: (a) measured on thesame dependent variable at the same "time points"; or (b) measured on the same dependentvariable while undergoing the same "conditions" (Laerd.com, 2015).The levels are relatedbecause they contain the same participantsin each level.In this study, I am using the data setfromActivity6.savtodeterminewhethertest scores between males and females increase over aperiod of 12 weeks.In this example,Scoreis mydependent variable,while mywithin-subjectsfactor isScores(sevenlevelswhere each of thesevenpoints is considered a level.Part A1.Exploratory Data AnalysisIn the tablesbelow, we see that all of the "Sig." values are greater than .05 (they are.628, .418,.322, .179, .393, .138, .270, .452, .605, .233, .225, .323, .658,and.304. Therefore, the dependentvariable is normally distributed for each level of the within-subjects factor,gender. Due to thesetup in SPSS Statistics, this is equivalent to stating that pre-test Week 12 scores are all normallydistributed. Thus,score concentration was normally distributed at each time point, as assessed byShapiro-Wilk's test (p> .05).

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BTM8107-8-64Tests ofNormalityGenderKolmogorov-SmirnovaShapiro-WilkStatisticdfSig.StatisticdfSig.Pre-test scoreFemale.1538.200*.9428.628Male.2364..8974.418Week 2 scoreFemale.2248.200*.9058.322Male.3284..8344.179Week 4scoreFemale.1898.200*.9158.393Male.3224..8184.138Week 6 scoreFemale.2528.144.8978.270Male.2334..9044.452Week 8 scoreFemale.2228.200*.9398.605Male.2984..8524.233Week 10 scoreFemale.1898.200*.8888.225Male.2574..8764.323Week 12 scoreFemale.1298.200*.9458.658

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BTM8107-8-65Male.2864..8724.304*. This is a lower bound of the true significance.a. Lilliefors Significance CorrectionInthe boxplot below, we see that there is oneoutlier (the circular point), which is participant7,at the first level of the within-subjects factor (females) who had a particularly lowscorecompared tothe others at this time point.

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