## What if your ANOVA is not significant?

Surprisingly, the answer is yes. With one exception, post tests are valid even if the overall ANOVA did not find a significant difference among means. The exception is the first multiple comparison test invented, the protected Fisher Least Significant Difference (LSD) test.

### How do you interpret a significant ANOVA?

In ANOVA, the null hypothesis is that there is no difference among group means. If any group differs significantly from the overall group mean, then the ANOVA will report a statistically significant result.

**How do you report no significant difference in one-way ANOVA?**

Report the result of the one-way ANOVA (e.g., “There were no statistically significant differences between group means as determined by one-way ANOVA (F(2,27) = 1.397, p = . 15)”). Not achieving a statistically significant result does not mean you should not report group means ± standard deviation also.

**Is it possible for ANOVA to be significant but post hoc test not?**

It is possible for an ANOVA test to be significant while the post hoc test is not significant. If the Tukey test was not significant, try another post hoc test like Duncan multiple range test.

## What does it mean if ANOVA is significant but post hoc is not?

If this test is not significant, there is no evidence in the data to reject the null and one then concludes that there is no evidence to suggest that the group means are different. Otherwise, post-hoc tests are performed to find sources of difference.

### Can ANOVA be significant but post hoc not?

**How to interpret results using ANOVA test?**

requirement by checking for equal cell means. However, this test is imperfect: some designs that cannot be analyzed correctly might pass the test, and designs that can be analyzed correctly might not pass. If your design does not pass the test, PROC ANOVA produces a warning message to tell you that the design is

**What is ANOVA and when do we use it?**

The first column lists the independent variable along with the model residuals (aka the model error).

## When to use ANOVA stats?

= sample mean of the j th treatment (or group),

### How to write the results for an ANOVA?

Open the SPSS software.