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Bartlett test

The Bartlett test is more effective than Levene test when we do not reject the hypothesis of normality of the data.

Example: We consider a data set with one factor and several levels, as in the following table.

Factor Fiber Strenght
15 7
15 7
15 15
15 11
15 9
20 12
20 17
20 12
20 18
20 18
25 14
25 18
25 18
25 19
25 19
30 19
30 25
30 22
30 19
30 23
35 7
35 10
35 11
35 15
35 11

 click here to download the data

To use the tool Tests of Variance the user must follow these steps: 

1. Access the menu:

Action $ \blacktriangleright $ ANOVA $ \blacktriangleright $ Tests of Variance

2. The following screen will be shown;

3. With the cursor in the field Factor, select the column that refers to the Factor (without the name of the column);

4. In Tests choose between the options Bartlett and Levene. In this case we will perform a Bartlett test;

5. With the cursor in the field Response Variable, select the column that refers to the Response Variable (without the name of the column);

6. In Show Results, choose one of the options. We suggest the option New Sheet, because Action does not have the undo command;

7. To finish, click Ok.


Results and Interpretation

Once the process is finishde, the following results will be shown:



We verity that the p-value of the test is bigger than the 5% significance level, so we accept the null hypothesis of equality of the variances.