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## What does an Anova tell you?

The one-way analysis of variance (ANOVA) is used to determine whether there are any statistically significant differences between the means of two or more independent (unrelated) groups (although you tend to only see it used when there are a minimum of three, rather than two groups).

What is significance level in Anova?

Usually, a significance level (denoted as α or alpha) of 0.05 works well. A significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. P-value ≤ α: The differences between some of the means are statistically significant.

### What does it mean if Anova is significant?

If any group differs significantly from the overall group mean, then the ANOVA will report a statistically significant result. If the F statistic is higher than the critical value (the value of F that corresponds with your alpha value, usually 0.05), then the difference among groups is deemed statistically significant.

What if homogeneity of variance is not met?

The assumption of homogeneity of variance means that the level of variance for a particular variable is constant across the sample. In ANOVA, when homogeneity of variance is violated there is a greater probability of falsely rejecting the null hypothesis.

#### How do you know if variances are equal or unequal?

An F-test (Snedecor and Cochran, 1983) is used to test if the variances of two populations are equal. This test can be a two-tailed test or a one-tailed test. The two-tailed version tests against the alternative that the variances are not equal.

How do you interpret Anova results?

Interpretation. Use the p-value in the ANOVA output to determine whether the differences between some of the means are statistically significant. To determine whether any of the differences between the means are statistically significant, compare the p-value to your significance level to assess the null hypothesis.

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What are the assumptions of a two sample t test?

Two-sample t-test assumptions

• Data values must be independent.
• Data in each group must be obtained via a random sample from the population.
• Data in each group are normally distributed.
• Data values are continuous.
• The variances for the two independent groups are equal.

### What does Levene’s test tell you?

In statistics, Levene’s test is an inferential statistic used to assess the equality of variances for a variable calculated for two or more groups. It tests the null hypothesis that the population variances are equal (called homogeneity of variance or homoscedasticity).

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#### What if Anova assumptions are not met?

Even if none of the test assumptions are violated, a one-way ANOVA with small sample sizes may not have sufficient power to detect any significant difference among the samples, even if the means are in fact different.

What are the three Anova assumptions?

The factorial ANOVA has several assumptions that need to be fulfilled – (1) interval data of the dependent variable, (2) normality, (3) homoscedasticity, and (4) no multicollinearity.

## How do you know if Anova assumptions are met?

To check this assumption, we can use two approaches: Check the assumption visually using histograms or Q-Q plots. Check the assumption using formal statistical tests like Shapiro-Wilk, Kolmogorov-Smironov, Jarque-Barre, or D’Agostino-Pearson.

How do you know if homogeneity of variance is met?

The Levene’s test uses an F-test to test the null hypothesis that the variance is equal across groups. A p value less than . 05 indicates a violation of the assumption. If a violation occurs, it is likely that conducting the non-parametric equivalent of the analysis is more appropriate.

### Why is Levene test important?

Levene’s test ( Levene 1960) is used to test if k samples have equal variances. Equal variances across samples is called homogeneity of variance. Some statistical tests, for example the analysis of variance, assume that variances are equal across groups or samples. The Levene test can be used to verify that assumption.