Reporting Kruskal Wallis Test in SPSS
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How to Run Kruskal Wallis Test in SPSS: Explanation Step by Step
From the SPSS menu, choose Analyze – Nonparametric tests – Legacy dialogs – K Independent samples

A new window will open. From the left box transfer dependent variable Happiness in Test Variable List box, and categorical independent variable Marital status into Grouping Variable box. Click on Define Range… tab below Grouping variable box and a new window will open.

In the box Minimum, enter the lowest group code, and in the Maximum enter the highest group code. We coded Marital status 1 – Single, 2 – Married, 3 – Divorced, 4 – Widowed, 5 – Separate. Therefore, we will enter 1 in the Minimum box, and 5 in the Maximum box. Click Continue, and you will return in the previous window.

Click the Options tab, and a new window will open. In the Statistics box, check Descriptive. Click Continue and OK.

The results will appear in the output window.

How to report Kruskal Wallis results: Explanation Step by Step
How to Report Descriptive statistics Table in SPSS Output?
The first table in the output window shows descriptive statistics (number of observations, mean, standard deviation, minimum, and maximum).

How to Report Ranks Table in SPSS Output?
The second table shows Ranks – Number of observations and Mean rank for each group.

How to Report P-Value for Kruskal Wallis in SPSS Output?
The third table in the output window shows Test statistics and the results show the Chi-square test statistic, degrees of freedom, and p-value (Asymp. Sig.).
Firstly, If p > 0.05, we fail to reject the null hypothesis.
Since in our example p = .956 > 0.05, therefore, we fail to reject the null hypothesis and conclude that there is no difference in the level of Happiness (1 to 5) between single, married, divorced, widowed, and separated.

How to Interpret the Kruskal Wallis Test Results in APA Style?
A Kruskal-Wallis test was conducted to determine whether there is an effect of marital status on the level of Happiness. The results indicate non-significant difference, χ2(4) = .661, p = .956. We, therefore, fail to reject the null hypothesis and conclude that there is no difference in the level of Happiness (1 to 5) between single, married, divorced, widowed, and separated.
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