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Unformatted text preview: Stat 511 Homework 5 Spring 2011 Due: 11am, Monday Feb 14 1. This problem was set to reinforce a point made in lecture about power of various tests in an ANOVA. Consider a study with 4 treatments in a 2 x 2 factorial. The investigators tell you that 1.2 units is an important difference and the error variance is 1.0. You consider a design with n = 6 observations for each treatment (i.e. a total of 24 observations). (a) Calculate the power of the test of the A main effect when the population A effect is 1.2. (b) Calculate the power of the test of the A*B interaction when the population interaction, ( 11 12 ) ( 21 22 ), is 1.2. The investigators increase factor B to 3 levels, so there are 6 treatments in a 2 x 3 factorial. Again, they consider n = 6 observations for each treatment (i.e. a total of 36 observations now). (c) Calculate the power of the test of the difference between level 1 of B and level 2 of B, both averaged over levels of A, when the population difference is 1.2. (d) Calculate the power of the test of the A main effect when the population A effect is 1.2....
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This note was uploaded on 02/11/2012 for the course STAT 511 taught by Professor Staff during the Spring '08 term at Iowa State.
 Spring '08
 Staff

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