3. Consider the design matrix given below. (a) Please show the detailed process of calculating the main and interaction effects. (b) Please interpret the main effects. (c) Please show the detailed process of calculating the ANOVA table (including contrasts, sum of squares, degree of freedom, mean square, F, P-value).

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Author:Amos Gilat
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3. Consider the design matrix given below.
(a) Please show the detailed process of calculating the main and interaction effects.
(b) Please interpret the main effects.
(c) Please show the detailed process of calculating the ANOVA table (including contrasts,
sum of squares, degree of freedom, mean square, F, P-value).
Run
(1)
a
b
ab
Replicates
I ||
ỹ
221 311 266
325 435
354 384
406
377
380
351
369
341.5
Transcribed Image Text:3. Consider the design matrix given below. (a) Please show the detailed process of calculating the main and interaction effects. (b) Please interpret the main effects. (c) Please show the detailed process of calculating the ANOVA table (including contrasts, sum of squares, degree of freedom, mean square, F, P-value). Run (1) a b ab Replicates I || ỹ 221 311 266 325 435 354 384 406 377 380 351 369 341.5
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