Kruskal-Wallis Test: Nonparametric Method for Comparing Multiple Groups, Slides of Statistics

An explanation of the kruskal-wallis analysis of variance of ranks test, a nonparametric statistical method used to compare the ranks of three or more groups with ordinal level data on the dependent variable. An example of its application to a study investigating the effect of relaxation or guided imagery on the rank-ordered crime-solving ability of police officers, as well as instructions for conducting the test using spss. The document also includes a discussion of the results of the test and their interpretation.

Typology: Slides

2012/2013

Uploaded on 09/10/2013

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Nonparametric
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Nonparametric

Three or more groups

Kruskal-Wallis Analysis of Variance of Ranks Test

  1. Kruskal-Wallis Analysis of Variance of Ranks Test
  2. More than two groups, ordinal level data on the DV

Example -- continued

  1. Number of Samples: 3
  2. Nature of Samples: independent
  3. Independent Variable: type of treatment

Example -- continued

  1. Dependent Variable and its Level of Measurement: rank ordered judgments, ordinal
  2. Target Population: police officers
  3. Inferential Statistical Technique:
    1. Kruskal-Wallis Analysis of Variance of Ranks Test

Example -- continued

  1. Obtained Test Statistic:
    1. χ^2 (2) = 5.96, p =.
  2. Decision: accept the null hypothesis

d.f. = number of samples - 1

Results Section

The results of the Kruskal-Wallis Analysis of Variance of Ranks Test involving type of training as the independent variable and rank-ordered crime-solving ability as the dependent variable were not statistically significant.

Kruskal-Wallis Test and SPSS for

Windows

  • Statistics, Nonparametric Tests, k Independent Samples
  • Move DV to Test Variable list
  • Move IV to Grouping Variable
  • Define Groups
  • Make sure K-W is checked

Interpreting the Printout

  • Mean ranks
  • Chi-Square (obtained test statistic)
  • Significance (p-value)