Question

How many potential sources of systematic variation would there be in an Analysis of Variance Summary Table for a 3 X 3 complex design?

Answer 1

a-1.

The standard error of estimate is the square root of the mean square of the residual error

a-2.

The mean residual is always zero.

The standard deviation of the residual will be the standard error of estimate = 7.94 (as calculated above).

A 95% interval corresponds to the range of (0.025, 0.975). We look up a z-table to get the corresponding z-factor of 1.96.

So, about 95% of the residuals will lie in the range of

So, about 95% of the residuals will lie between -15.56 and 15.56.

b-1.

The coefficient of multiple determination is calculated as the square root of the ratio of the sum of squares regression and the sum of squares total.

b-2.

The percentage variation for the independent variables will be given by:

c. The coefficient of multiple determination adjusted is given by: