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One way Anova

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One way Anova
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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

For a good result the data must

Colors of the cells

Formula one way Anova

Between groups

formula

formula

formula

formula

Error

formula

formula

formula

Total

formula

formula

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.
formula
formula

Legend

formulaTotal mean of all data
formulaTotal amount of data points
formulaAmount of columns (data sets)
formulaAmount of rows (data points of one data set)
formuladata point of row i of data-set of column j
formulaDegrees of freedom
formulaSum of squares
formulaMean squares
formula=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



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