// Reporting one-way ANOVA - results from SPSS //
The one-way ANOVA in SPSS usually consists of three parts:
- First, the one-way ANOVA itself, which tests the means of at least three groups for differences. In addition it is common practice to report the effect size Eta² for the test itself. I recommend using the robust Welch-ANOVA results instead of the ordinary ANOVA to counter potential heterogenous variances across groups. A detailed explanation can be found here: • One-Way ANOVA in SPSS ...
- Second, in case of a significant one-way ANOVA, post hoc-tests to determine between which of the groups a difference exists, should be calculated.
- Third, the effect size d for group differences that showed a low enough p-value, should be calculated. In SPSS a detour using independent t-tests is necessary for that stept.
Reporting
========
The reporting is limited to the essentials: the test statistic (F-value), the degrees of freedom, the p-value and results for post-hoc-tests, consisiting of p-value and effect sizes respectively.
The effect size can be classified with comparable studies or research field specific thresholds, optionally with Cohen (1992): A Power Primer.
It can be helpful to add the group means and standard deviations as well as the Eta-squared effect size.
Please be aware that an effect size for the test itself is not really desirable since you are in almost all cases more interested in the specific pairwise differences. It is more frequently used to compare your study with others, for instance when it comes to a priori sample size calculations.
Sample formulation:
=================
"The one-way ANova showed differences between the three
observed groups (F(2, 24.52) = 9.76; p ◃ .001; η² = .257).
Post-hoc-Analysis showed differences between no degree
and Master’s degree (p ◃ .001; d = .1.42), representing
a large effect (Cohen (1992))."
⏰ Timestamps:
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0:00 Introduction and overview
0:09 one-way ANOVA results
0:23 Post-hoc-test results and respective effect sizes
0:39 Effect size of the ANOVA itself (Eta-squared)
0:53 Classifying results
If you have any questions or suggestions regarding the write-up for the one-way ANOVA in SPSS, please use the comment function. Thumbs up or down to decide if you found the video helpful.
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