# Variation Levene test

To calculate if there is a significant difference in variation between two data-sets. This test is robust when the data is not normally distributed. It calculates the Levene variation test between this column and the comparing column.

### Interpretation

• The smaller the p value is the more likely there is a significant difference in variation between the data-sets.
• Develve uses the commonly accepted value of p < 0.05 for significance.
• If the data-sets is normally distributed use the Variation F-test
• For this test is no minimum sample size (power) calculation

### Colors of the cells

• Green
No significant difference
• Yellow
Significant difference

## Formula Calculating W value

With the W value and the degrees of freedom can the program calculate the p value.

## Legend

Mean of all data
Mean group
total number of samples
number of samples in group
number of groups

## Example

Select Variation test. To use the Levene test first select "non normal distributed" when the box is not selected the F-test is calculated. Then select Diff variation. In this example C and D are significantly different in variance compared to A.

Data file

# Multiple Levene test

To calculate if there is a significant difference in variation between two or more data-sets. This test is also robust when the data is not normally distributed. It calculates the Levene variation test between the selected columns.

### Interpretation

• The smaller the p value is the more likely there is a significant difference of one ore more of the selected data-sets.
• Develve uses the commonly accepted value of p < 0.05 for significance.
• For this test is no minimum sample size (power) calculation

### Colors of the cells

• Green
No significant difference
• Yellow
Significant difference

## formula

With the W value and the degrees of freedom the program can calculate the p value out of the F distribution.

## Legend

Mean of all data
Mean group
total number of samples
number of samples in group
number of groups

## Example

To use the Multiple Levene test "Menu: Tools=> Multiple Levene test". Then select the data-sets to compare. In this example there no significantly different in variance in the selected columns.

Data file