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hw44f2011 - Assignment 4 On-campus students due 3pm Friday...

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Assignment 4 On-campus students: due 3pm Friday 10/07/2011; Off-campus students: due midnight Sunday 10/07/2011. This assignment is covered by Midterm I, though it is made due after the exam; The solution of this assignment will be posted Tuesday 10/04/2011 on Blackboard. You must hand in the HW to recieve credits. 1. An experiment is conducted to study the impact of two types of hormone (I, II), each with two levels, on the liver of rat. We consider the following four treatments: (A) Hormone I at high level; (a) Hormone I at low level; (B) Hormone II at high level; (b) Hormone II at low level. Each treatment is applied to six randomly selected rats. The response is the amount of glycogen (in mg) in the liver of a rat after a certain period of time. Treatment Responses A 106 101 120 86 132 97 a 51 98 85 50 111 72 B 103 84 100 83 110 91 b 50 66 61 72 85 60 Suppose we are interested in the following three contrasts: Comparison A a B b Hormone I vs Hormone II 1 1 -1 -1 Low Level vs High level 1 -1 1 -1 Equivalence of Level 1 -1 -1 1 a). Use ANOVA to check if there exists difference between the treatments (
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