Reporting ANOVA Test in SPSS

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How to Run One Way ANOVA Test in SPSS: Explanation Step by Step

From the SPSS menu choose Analyze – Compare Means – One-way ANOVA

One Way ANOVA Test SPSS Menu

Box with variables will open. Transfer the continuous variable wage into the dependent list box, and factor variable responsibility to factor box.


Choose Options, and a new window will appear. Check Descriptive, Homogeneity of variance test, Brown-Forsythe, and Welch. Click Continue.

One Way ANOVA Test: SPSS Options Menu

Choose Post Hoc test for ANOVA test

If we assume that we have equal variance across the group so we will use the first box of tests. The Tukey HSD test is the best option for this assumption. On the other hand, if our data does not have equal variance then we can pick up the Games-Howell or the LSD test.

One Way ANOVA Test

The results will appear in the output window.

One Way ANOVA Test

How to report a Chi-square test for independence results: Explanation Step by Step

How to Report Descriptive Statistics Table in SPSS Output?

The first table in the output window shows descriptive statistics.

One Way ANOVA test SPSS Output

How to Report Test of Homogeneity of Variances Table in SPSS Output?

The second table from the output shows the results of the test of homogeneity of variances. It shows Levene statistic, degrees of freedom, and p-value (Sig.) In our example, p = .153 > .05, so we conclude that the assumption of homogeneity of variances is fulfilled and go to step 3.

Test of Homogeneity of Variance in ANOVA Output

How to Report P-Value in ANOVA Table SPSS Output?

The third table in the output, ANOVA results, shows that whether the results between groups are significant or not.

If the p value is greater than 0.05, then we do not have any statistically significant difference between groups. However, in our example the p value is less than 0.05. Therefore, we conclude that there is a difference in average annual wages between job responsibility groups, F(2, 93) = 24.193, p = .000 < .05.

ANOVA Test SPSS Output

How to Report Post-Hoc Test in SPSS output?

The following table in the output window shows the results of the Post Hoc test.

The results of the test of homogeneity of variance (step 2) showed that we have equal variances. Therefore, we should look at the results of the Tukey HSD test.

The column mean difference shows the difference between the means of the two groups compared. For example, -14074.481 is the difference between mean annual wages for small job responsibility and medium job responsibility. Column Sig. (p-value) shows whether the mean difference is statistically significant.

In conclusion,  there is a difference in annual wages between small and medium job responsibilities and small and high job responsibilities.

Post-Hoc Test SPSS Output

How to Interpret a One Way ANOVA Results in APA Style?

A one-way ANOVA was conducted to determine the effect of job responsibility (small, medium, high) on annual wages. The results indicate a significant effect, [F(2, 93) = 24.193, p = .000]. Post Hoc tests were conducted using Tukey’s HSD test. The comparison revealed significant difference between small (M=22612.06; SD=10792.06) and medium job responsibility (M=36686.55; SD=9500.50); between small (M=22612.06; SD=10792.06) and high job responsibility (M=40831.28; SD=12221.95). We, therefore, reject the null hypothesis that different levels of job responsibility (small, medium, high) have the same effect on annual wages.

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