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Nonparametric Tests with Ordinal Data Chapter 18.

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Presentation on theme: "Nonparametric Tests with Ordinal Data Chapter 18."— Presentation transcript:

1 Nonparametric Tests with Ordinal Data Chapter 18

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3 >The sample data for the ordinal variable, accomplishment-related national pride, are skewed. This indicates the possibility that the underlying population distribution is skewed.

4 Spearman Rank-Order Correlation Coefficient >When both variables are ordinal >Quantifies association >Calculating Spearman’s correlation Convert interval observations to rank- ordered observations

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7 The Wilcoxon Signed-Rank Test >A test for matched pairs is a nonparametric hypothesis test used when there are two groups, a within-groups design, and an ordinal dependent variable.

8 Steps for the Wilcoxon Signed-Rank Test >Step 1. Identify assumptions >Step 2. State null and research hypotheses >Step 3. Determine characteristics of comparison distribution >Step 4. Determine critical values >Step 5. Calculate the statistic >Step 6. Make a decision

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11 Mann-Whitney U test >Nonparametric hypothesis test with two groups, a between-groups design, and an ordinal DV

12 Steps for the M-W U >Step 1. Identify assumptions >Step 2. State research and null hypotheses >Step 3. Determine characteristics of comparison distribution >Step 4. Determine critical values >Step 5. Calculate the statistic >Step 6. Make a decision

13 Formulae

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16 Kruskal–Wallis H Test >A nonparametric hypothesis test used for more than two groups a between- groups design, and an ordinal dependent variable.

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18 Steps for the K-W H Test >Step 1. Identify assumptions >Step 2. State research and null hypotheses >Step 3. Determine characteristics of comparison distribution >Step 4. Determine critical values >Step 5. Calculate the statistic >Step 6. Make a decision

19 Formulae

20 Bootstrapping >A statistical process in which the original sample data are used to represent the entire population. >We repeatedly take samples from the original sample data to form a confidence interval.


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