Suppose the design has 2 factors (Factor1 and Factor2). Factor1 has two levels (a and b) and Factor2 has three levels (x, y, and z). The data for Factor1 are in C1, Factor2 are in C2, and the responses are in C3. You perform General Linear Model with Factor1, Factor2, and the 2-way interaction Factor1*Factor2 in the model.

This option allows to you determine the fitted values using the values in the worksheet.

- Choose .
- In Responses, enter
`C3`. In Factors, enter`Factor1 Factor2`. - Click Model. In the field under Factors and covariates select both 'Factor 1' and 'Factor 2'. Verify that 2 is selected in the field beside Interactions through order.
- Click Add, then click OK.
- Click Storage. Check Fits.
- Click OK in each dialog box.

The fitted values are stored in the next available blank column in the worksheet, named FITS1.

Suppose you obtain the following coefficients in the output:

Term Coef SE Coef T P Constant 8.0000 0.5528 14.47 0.000 Factor1 a -0.6667 0.5528 -1.21 0.273 Factor2 x 5.0000 0.7817 6.40 0.001 y -2.0000 0.7817 -2.56 0.043 Factor1*Factor2 a x -2.8333 0.7817 -3.62 0.011 a y 1.6667 0.7817 2.13 0.077

- Using the coefficients from the table above, you can obtain the following regression equation.
The equation is:

Using the default coding that Minitab uses:- If Factor1 is
*a*, use*a*= 1 - If Factor1 is
*b*, use*a*= –1 - If Factor2 is
*x*, use*x*= 1 and*y*= 0 - If Factor2 is
*y*, use*x*= 0 and*y*= 1 - If Factor2 is
*z*, use*x*= –1 and*y*= –1

- If Factor1 is
- Put the factor levels in to the equation.
Suppose the 9th row in the data set has Factor1 =

*b*and Factor2 =*z*. The fitted value is:= 8.0000 + - 0.6667*-1 + 5.0000*-1 - 2.0000*-1 - 2.8333*-1*-1 + 1.6667*-1*-1

= 8.0000 + 0.6667 - 5.0000 + 2.0000 - 2.8333 + 1.6667

= 4.5

If you choose to store the fits as described in Option 1, you will see 4.5 in row 9 (with Factor1 =

*b*and Factor2 =*z*) of the FITS1 column.

You can have Minitab display the coefficients that are not displayed by default.

- Choose .
- Enter the response columns and factor columns.
- Click Results and beside Coefficients select Full set of coefficients.
- Click OK in each dialog box.