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The wilcoxon matched pairs signed rank test is a statistical method used to compare two conditions of an independent variable in experiments where the same participants respond in both conditions. This test is particularly useful when the dependent variable is measured on an ordinal scale, such as ranked data. In this example, we explore how the test can be applied to determine faculty preferences between two job candidates, dr. Smith and dr. Jones, using spss.
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This test is similar to a matched (repeated measures) t-test. However, the dependent variable is measured on an ordinal scale (ranked data). This test is used to test for significant differences between two conditions of an independent variable in an experiment where the same (or matched) participants are responding in both conditions of the study. The dependent variable involves ranked (ordinal) data. Suppose for example, a department chair wanted to find out whether their department faculty members had a significant preference for one job candidate over another. Each of two job candidates (Dr. Smith and Dr. Jones) came to the department for a job interview. After each candidate gave a one hour guest lecture to the members of the department, and after they were interviewed by the members of the department, the faculty in the department were asked to rank order their preferences for the candidates. The first choice of each department member was given a rank of 1 and their second choice a rank of 2. The department chair then recorded the rankings of each candidate by each department member in the table below:
Rank Order of Candidates by Faculty
Faculty Member Dr. Smith Dr. Jones A 1 2 B 1 2 C 1 2 D 1 2 E 2 1 F 1 2 G 1.5 1. H 1 2 I 1 2 J 1 2
Descriptive Statistics
10 1.1500 .33747 1.00 2. 10 1.8500 .33747 1.00 2.
Smith Rank Jones Rank
N Mean Std. Deviation Minimum Maximum
Ranks
1 a^ 5.00 5. 8 b^ 5.00 40. 1 c 10
Negative Ranks Positive Ranks Ties Total
Jones Rank - Smith Rank
N Mean Rank Sum of Ranks
a.Jones Rank < Smith Rank b.Jones Rank > Smith Rank c.Smith Rank = Jones Rank
1 tab 2 1 tab 2 1 tab 2 1 tab 2 2 tab 1 1 tab 2 1.5 tab 1. 1 tab 2 1 tab 2 1 tab 2