Statistical formula for the Least Significant Difference test

Reporter > Applying statistical tests > Column means test > Statistical formula for the Least Significant Difference test

The formula for the least significant difference value for independent values is as follows:

Notation	Description
	Weighted count of cases contributing to the mean in column i.
	Weighted sum of the values in column i.
	Weighted sum of the squared values in column i.
NCOL	The number of columns in the group.

The degrees of freedom are:

and the LSD value is:

where MS is the mean square:

HM is the harmonic mean:

and SIGVAL is the critical value of T for DOF degrees of freedom at the significance level defined by the user.