Chapter 14 Nonparametric Statistics

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Chapter 14 Nonparametric Statistics Chi Square (c2) Test for Two Independent Samples

About This Statistic  Chi-square (c2) • Independent variable • Two nominally measured levels

• Dependent variable • Categorical variable with two or more levels

 Example • Examination performance • Upper (better) or Lower (poorer) half • Response to a given test item (A, B, C, D*)

• N = 100

SPSS Directions  AnalyzeDescriptive StatisticsCrosstabs  Put Test performance in Row(s) and Response chosen in Column(s). Select Statistics button and select Chi-square. Click Continue and then OK.

Results

Results  Response D* is the correct response for this item.  Interpretation • ≈50% of the students answered the question correctly • The item did a fair job of discriminating among the good (n = 32) and poor (n = 24) students • The pattern of responses was not significantly different (p < .11) for the two groups.