Values For Kurtosis. Kurtosis can reach values from 1 to positive infinite. Just as the mean and standard deviation can be.
Distributions with large kurtosis exhibit tail data exceeding the tails. Distributions exhibiting skewness andor kurtosis that exceed these guidelines are considered nonnormal. Values that fall above or below these ranges are suspect but SEM is a fairly robust analytical method so small deviations may not represent major violations of assumptions.
The following diagram gives a general idea of how kurtosis greater than or less than 3 corresponds to non-normal distribution shapes.
With the amount of skewness depending on the value of the shape parameter. It has a possible range from 1 where the normal distribution has a kurtosis of 3. Positive values of kurtosis indicate that a distribution is peaked and possess thick tails. Kurtosis can reach values from 1 to positive infinite.
