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