# One way Anova

The One way Anova calculates if the mean out of two or more date-set at least one data-set is significant different. The calculation calculates the Anova only from the checked data-sets in the Anova dialogue.

### Interpretation

• The smaller the p value is the more likely there is a data-set with a significant difference.
• Develve uses the commonly accepted value of p < 0.05 for significance.
• No significant difference does not mean that the mean of the data-sets are the same!

### Colors of the cells

• Green
No significant difference
• Yellow
Significant difference
• Orange
Sample size to small

### Formula one way Anova

#### Result

With the F value and the degrees of freedom (DFb and DFe) can the program calculate the p value.

### Sample size

The result is the minimum sample size for all the data sets.

### Legend

Total mean of all data
Total amount of data points
Amount of columns (data sets)
Amount of rows (data points of one data set)
data point of row i of data-set of column j
Degrees of freedom
Sum of squares
Mean squares
=Max Mean difference in the group

## Example

From the selected data-sets there is at least one data-set that is significant different in mean compared to the other data-sets.
But beware of the difference in variation and one data-set that is not normally distributed.
In this case it is better to use the Kruskal-Wallis Test.

Data file