Kendall’s Tau-b Using SPSS Statistics
Kendall’s Tau-b correlation is a non-parametric measure of the strength and direction of association that exists between two variables. In this tutorial, we will guide you through the steps of performing Kendall’s Tau-b correlation using SPSS Statistics.
Step 1: Load Your Data
Open SPSS Statistics and load your dataset. Ensure that your data is correctly formatted and that there are no missing values. For this example, we will use a dataset that includes two ordinal variables.
Step 2: Perform Kendall’s Tau-b Correlation
Navigate to Analyze > Descriptive Statistics > Crosstabs…. In the Crosstabs dialog box, move your variables to the Row(s) and Column(s) boxes. Then, click on Statistics and select Kendall’s Tau-b.
Step 3: Interpret the Results
Once you click OK, SPSS will run the analysis and produce output that includes several tables. Key tables include the Correlations table and the Symmetric Measures table.
Correlations Table
| Variable 1 | Variable 2 | Kendall’s Tau-b | Sig. (2-tailed) |
|---|---|---|---|
| Variable 1 | Variable 2 | 0.456 | 0.001 |
Symmetric Measures Table
| Value | Asymptotic Std. Error | Approx. T | Approx. Sig. |
|---|---|---|---|
| 0.456 | 0.102 | 4.489 | 0.001 |
Discussion
The results indicate that there is a moderate, positive association between the two variables, with a Kendall’s Tau-b value of 0.456. The association is statistically significant (p < 0.001).
In APA format, you would report these results as follows:
A Kendall’s Tau-b correlation was conducted to examine the relationship between Variable 1 and Variable 2. Results indicated a moderate positive correlation, τb = 0.456, p < 0.001.
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