BTM8107-8-5 ANCOVA and Factorial ANOVA Northcentral University

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BTM8107-8-51NORTHCENTRAL UNIVERSITYASSIGNMENT COVER SHEETBTM8107-8-5Student:In the context of a two-way ANOVA and ANCOVA analysis as demonstrated in the assignment,explain how the interaction between independent variables(gender and classroom size) affectsthe dependent variable (math scores) and the assumptions of normality, homogeneity ofvariances, and outlier detection. Additionally, discuss how these statistical analyses can be usedto test hypotheses regarding group differences, with particular emphasis on interpreting thesignificance of results such as p-values, marginal means, and pairwise comparisons.Word count requirement:500-750 words.

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BTM8107-8-52THIS 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 IIANCOVA & Factorial ANOVAFaculty UseOnly

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BTM8107-8-53ANCOVAandFactorial ANOVABTM8107-8Part AIntroductionThis week I amusing atwo-way(Factorial)ANOVA to determine if there is aninteraction effect between twoindependent variables on a continuous dependent variablefromdata setActivity 5.sav.Immediately following the ANOVA, assumptionsof the two-wayANOVA are explained, includingtests for two of the three assumptionscarried out.Three-wayANOVAsmust meet three assumptions that relate to the nature of data inorder to provide a validresult: (1) there should be no significant outliers(data points within your data that do not followthe usual pattern)in any cell of the design; (2) the dependent variable should be approximatelynormally distributed inevery cell of the design; and (3) the variance of the dependent variableshould be equal in every cell of the design (assumption of homogeneity of variances), (Laerd,2015).Additionally, I will be using an analysis of covariance (ANCOVA) todetermine whetherthere are any statistically significant differences between the adjusted population meansindependent (unrelated) groups.1.Exploratory Data Analysis.TheDescriptive Statisticstable below shows the reported marginal means (93.250, 89.100,and85.200).The figures reportedin theDescriptive Statisticstable are theweighted marginalmeans.Weighted and unweighted marginal means will only be the same whenwe have a balanced

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