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The Three-Factor Fixed Effects Model, with the Same Number of Observations

Question 13

Multiple Choice

The three-factor fixed effects model, with the same number of observations for each combination of levels I, J, and K of the three factors A, B, and C, respectively, is represented by  The three-factor fixed effects model, with the same number of observations for each combination of levels I, J, and K of the three factors A, B, and C, respectively, is represented by   . Which of the following statements are true? A)  The restrictions necessary to obtain uniquely defined parameters are that the sum over any subscript of any parameter on the right-hand side of the above equation equals 0. B)  The parameters  \alpha _ { i } ^ { \prime } s , \beta _j ' s , \text { and } \delta _ { k} ^ { \prime } s  Are called the main effects of the factors A, B, and C, respectively. C)  The parameters   Are called two-factor interactions. D)  The parameter   Is called a three-factor interaction. E)  All of the above statements are true. . Which of the following statements are true?


A) The restrictions necessary to obtain uniquely defined parameters are that the sum over any subscript of any parameter on the right-hand side of the above equation equals 0.
B) The parameters αis,βjs, and δks\alpha _ { i } ^ { \prime } s , \beta _j ' s , \text { and } \delta _ { k} ^ { \prime } s
Are called the main effects of the factors A, B, and C, respectively.
C) The parameters  The three-factor fixed effects model, with the same number of observations for each combination of levels I, J, and K of the three factors A, B, and C, respectively, is represented by   . Which of the following statements are true? A)  The restrictions necessary to obtain uniquely defined parameters are that the sum over any subscript of any parameter on the right-hand side of the above equation equals 0. B)  The parameters  \alpha _ { i } ^ { \prime } s , \beta _j ' s , \text { and } \delta _ { k} ^ { \prime } s  Are called the main effects of the factors A, B, and C, respectively. C)  The parameters   Are called two-factor interactions. D)  The parameter   Is called a three-factor interaction. E)  All of the above statements are true.
Are called two-factor interactions.
D) The parameter  The three-factor fixed effects model, with the same number of observations for each combination of levels I, J, and K of the three factors A, B, and C, respectively, is represented by   . Which of the following statements are true? A)  The restrictions necessary to obtain uniquely defined parameters are that the sum over any subscript of any parameter on the right-hand side of the above equation equals 0. B)  The parameters  \alpha _ { i } ^ { \prime } s , \beta _j ' s , \text { and } \delta _ { k} ^ { \prime } s  Are called the main effects of the factors A, B, and C, respectively. C)  The parameters   Are called two-factor interactions. D)  The parameter   Is called a three-factor interaction. E)  All of the above statements are true.
Is called a three-factor interaction.
E) All of the above statements are true.

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