BTM8107-8 Non-Parametric Tests

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BTM8107-8-71NORTHCENTRAL UNIVERSITYASSIGNMENT COVER SHEETBased on the statistical analyses provided in the assignment, explain when it is more appropriateto use non-parametric tests over parametric tests. Specifically, compare andcontrast theWilcoxon Signed Rank test and Mann-Whitney U test in terms of their application to differenttypes of data. Discuss the results and interpretations of the tests performed on the given datasets(Activity 4A.sav and Activity 4B.sav). Additionally, explain the concept of statistical power inthe context of non-parametric tests and how it affects the ability to detect differences in data.Word count requirement:800-1000 words.

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BTM8107-8-72Student:THIS FORM MUST BE COMPLETELY FILLED INFollowthese 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, andassignment 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 IIFaculty Use Only

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BTM8107-8-73Non-Parametric TestsBTM8107-8IntroductionParametrictestsaddressestimationsof population parameters (mean) while non-parametrictestsare distribution free methodsrelyingonthe ranking of observations,making fewer assumptionsthan other tests,however,they do make distributional assumptions but just not normality (Field,2013).PartA1.Common reasons to select non-parametric tests over the parametric alternatives:Sample size:Nonparametrictests should be used withsmall sample sizes and when aresearchercannot rely on the central limit theorem (Field, 2013).Distribution ofvariables:If data is normally distributed then parametric tests are used,otherwise non parametric test are used.Scale of data:If data is categorical or ordinal,non-parametrictests are used.Non-parametric testsarepreferredwhen Median is used to summarize thedata consistingof outliers.2.Statistical PowersNon-parametric tests are ideal when the sample size is small, however, they are less powerfulthan parametric tests because they result in a loss of information about the magnitude ofdifferences between scores (Field, 2013). If certain data meets appropriate assumptions,parametric tests have greater power to detect the effects than non-parametric tests.

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