Problem A: A factorial experiment with four factors is conducted. Fac- tors A and B are fixed, and factors C and D are random. D is nested under C, and C is nested under B. The number of levels is 3, 2, 4 and 3 for A, B, C and D, respectively. There are 3 replicates. Assume the restricted model. a) Write downs the full linear model for the response including all possible interactions. b) Find the umber of degrees of freedom of all sums of squares c) Write down the expressions for all expected mean squares. d) Propose F-tests for significance of all effects. In case an exact F-test
Problem A: A factorial experiment with four factors is conducted. Fac- tors A and B are fixed, and factors C and D are random. D is nested under C, and C is nested under B. The number of levels is 3, 2, 4 and 3 for A, B, C and D, respectively. There are 3 replicates. Assume the restricted model. a) Write downs the full linear model for the response including all possible interactions. b) Find the umber of degrees of freedom of all sums of squares c) Write down the expressions for all expected mean squares. d) Propose F-tests for significance of all effects. In case an exact F-test
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![Problem A: A factorial experiment with four factors is conducted. Fac-
tors A and B are fixed, and factors C and D are random. D is nested under
C, and C is nested under B. The number of levels is 3, 2, 4 and 3 for A, B,
C and D, respectively. There are 3 replicates. Assume the restricted model.
a) Write downs the full linear model for the response including all possible
interactions.
b) Find the number of degrees of freedom of all sums of squares
c) Write down the expressions for all expected mean squares.
d) Propose F-tests for significance of all effects. In case an exact F-test
is not possible, propose an approximate F-test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F226c5102-e542-4c11-b56f-63e64d6700b1%2F48b08688-6d62-4ea1-bfae-88e63bc51044%2Frkoyzo_processed.png&w=3840&q=75)
Transcribed Image Text:Problem A: A factorial experiment with four factors is conducted. Fac-
tors A and B are fixed, and factors C and D are random. D is nested under
C, and C is nested under B. The number of levels is 3, 2, 4 and 3 for A, B,
C and D, respectively. There are 3 replicates. Assume the restricted model.
a) Write downs the full linear model for the response including all possible
interactions.
b) Find the number of degrees of freedom of all sums of squares
c) Write down the expressions for all expected mean squares.
d) Propose F-tests for significance of all effects. In case an exact F-test
is not possible, propose an approximate F-test.
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