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Anderson Darling normality test

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Basic Statistics
Mean
n
Median
STDEV
Cp Cpk % out of tolerance
Min/Max
Compare with
Calculate Difference
Diff mean normally
Diff median not normally
Diff variation normally
Diff variation not normally
Normally test
Correlation
Regression
Kurtosis
Skewness


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To check if the data-set is distributed according the normal distribution. Various statistical test assume that the data is normally distributed therefor it is important to check this. If the data is not normally distributed looking at the Kurtosis and Skewness and Histogram of the data gives an indication of the shape of the data.

Tests that assume a normal distribution

Interpretation

Colors of the cells


Normal distributed data set

Not normal distributed data set

Formula

formula

Correction factor for small sample sizes.

formula
With the A² value can the program interpolate in a table the p value.

Legend

n = n

Example

Data-set C is not normally distributed (normality p <0.10) therefore the cells of the statistical test that assume normality are colored red.

Data file

External links

To check the normality of a data-set.