# How to Interpret an SPSS ANOVA Output

Save

ANOVA is short for the statistical test Analysis of Variance. When you are comparing two groups, such as a treatment and a control, you would use a Student’s T-test, but once you add more groups, say a control and two levels of treatment, you need to use an ANOVA. An ANOVA tells you whether there are any statistically significant differences between the means of your groups. SPSS is a user-friendly statistical package developed for social science research that provides an easy-to-interpret ANOVA output.

## One-Way ANOVA

• A one-way ANOVA is the simplest type of ANOVA analysis. You would use a one-way ANOVA if you are comparing one measurement across three or more groups; for example, marathon times across age groups. The "Descriptive Statistics" table gives helpful general statistics such as the number of observations, the mean and the standard error for each group. The "ANOVA" table give you your results, breaking down the ANOVA test. The final two columns, the F-statistic and the associated significance level, are your results. If the significance level is lower than your threshold value, often 0.05, then at least two of the groups are significantly different from each other.

## Two-Way ANOVA

• You would use a two-way ANOVA when you have two predictive variables; for example, comparing marathon times across age groups and genders. The "Descriptive Statistics" table is more complicated, breaking down statistics by group and subgroup. The middle set of numbers on the "Tests of Between-Subjects Effects" table gives you your results -- a score and significance for each variable and a third score identified by both variable names connected by an asterisk. If this value is significant, it means that the variables interact, or that their effects are not independent. Significant interactions make interpretation more complicated.

## Post-Hoc Tests

• The ANOVA results tell you that at least one group is different, but to figure out which one, you use a post-hoc test, usually Tukey or Bonferroni, which is displayed in the "Multiple Comparisons" table. This table gives the significance of the differences between each set of groups -- for example, people in their 40s vs. people in their 60s -- and both reports a significance value and marks the significant differences with an asterisk. If your two-way ANOVA showed a significant interaction, the results of the post-hoc tests might be misleading, and it is safest not to report these values.

## Meeting the Assumptions

• The remaining outputs tell you whether your data meet the assumptions of data normality and equal variance among groups. If the significance value on the "Test of Homogeneity of Variances" table is less than 0.05, then your groups have unequal variances and your test results are suspect. You can evaluate the normality of your data on the box plot by checking that the whiskers are more or less the same size and that there are no outliers, represented by dots. Many datasets are not perfectly normal, but you will be able to tell whether you need to take your results with a grain of salt.

## References

• Photo Credit Purestock/Purestock/Getty Images
Promoted By Zergnet

## Resources

### You May Also Like

• How to View Output Files in SPSS

IBM SPSS is a statistical analysis software package widely utilized by behavioral and social science researchers. SPSS provides a GUI interface for...

• How to Understand Anova

A key to understanding analysis of variance, or ANOVA, is to understand basic hypothesis and significance testing, in which a researcher tests...

• How to Interpret an Independent T Test in SPSS

The independent, or unpaired, t-test is a statistical measure of the difference between the means of two independent and identically distributed samples....

• How to Perform an Analysis of Variance in SPSS

An analysis of variance (ANOVA) procedure in the statistical program SPSS is used to measure significant differences among more than two means....

• How to Interpret Excel ANOVA

ANOVA stands for analysis of variance. The two-way with replication ANOVA test examines data from repeated trials during which both "factors" and...

• How to Report ANOVA Results

Analysis of Variance, or ANOVA, is a statistics technique used to compare the means of two samples. ANOVA tests are conducted assuming...

• How to Read the Output of SPSS K-Means

Clustering analysis is a statistical technique used to arrange cases in categories so that the cases in each category are similar to...

• How to Read a Tukey Test in Minitab

Although ANOVA is the "standard" for making analyses based on comparison hypotheses in statistical research, there are other methods of making comparisons....

## Related Searches

Check It Out

### How to Build and Grow a Salad Garden On Your Balcony

M
Is DIY in your DNA? Become part of our maker community.