632 CHAPTER 12 Analysis of Variance Two-Way Analysis of Variance Access tech supplements, videos, and data sets at www.TriolaStats.com TECH CENTER Statdisk 1. Click Analysis in the top menu. 2. Select Two-Way Analysis of Variance from the dropdown menu. 3. Enter the number of categories for row variables and column variables. 4. Enter the number of values in each cell and click Generate Table. 5. In the table, enter or paste the data in the Value column. 6. Click Evaluate. StatCrunch 1. Enter all sample values in one column named “Responses.” 2. Enter corresponding row numbers (or names) in a second column named “Row Factor.” 3. Enter the corresponding column numbers (or names) in a third column named “Column Factor.” 4. Click Stat in the top menu. 5. Select ANOVA from the dropdown menu, then select Two Way from the submenu. 6. Select the columns to be used for responses, row factor and column factor. 7. Click Compute! Minitab 1. Enter all of the sample values in column C1. 2. Enter the corresponding row numbers (or names) in column C2. 3. Enter the corresponding column numbers (or names) in column C3. 4. Click Stat in the top menu. 5. Select ANOVA from the dropdown menu and select General Linear Model—Fit General Linear Model. 6. For Responses select C1 and select C2 and C3 as Factors. 7. Click the Model button. 8. Under Factors and covariates select C2 and C3 and click the Add button. 9. Click OK twice. See Analysis of Variance in the results. TIP: Use descriptive labels rather than C1, C2, and C3 to avoid confusion. TI-83, 83 84 Plus Calculator 8 us Ca cu ato Requires program A1ANOVA (available at www.TriolaStats.com). 1. The program A1ANOVA requires that we first create a Matrix [D] containing the sample data: Manually enter data: Press F then Q to get to the MATRIX menu, select EDIT from the top menu, select [D], and press [. Enter the number of rows and columns needed, press [, and proceed to enter the sample values. Using existing lists: Lists can be combined and stored in a matrix. Press F then Q to get to the MATRIX menu, select MATH from the top menu, and select the item List umatr. Enter the list names, followed by the matrix name [D], all separated by commas. Important: The matrix name must be entered by pressing F then Q, selecting [D], and pressing [. The following is a summary of the commands used to create a matrix from three lists (L1, L2, L3): List umatr(L1, L2, L3,[D]). 2. Press N, then select A1ANOVA and press [ twice. 3. Select RAN BLOCK DESIGN and press [ twice. Select Continue and press [. 4. The program will work with data in Matrix [D] and display the results. The results do not fit on a single screen, so press [ to see the remaining results. TIP: In the results, F(A) is the F test statistic for the row factor, F(B) is the F test statistic for the column factor, and F(AB) is the F test statistic for the interaction effect.

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