hw7 - STAT 4220 HW7(20 points Due on Thu April 1 1 To...

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Unformatted text preview: STAT 4220 HW7 (20 points) Due on Thu, April 1 1. To compare the effects of five different assembly methods (denoted by the Latin letters A, B , C , D, and E ) on the throughput, an experiment based on a Graeco-Latin square was conducted which involved three blocking variables: day, operator, and machine type. The data are given in Table 1, where the machine type is denoted by the five Greek letters. The response, throughput, is the number of completed pieces per day and is given in the parentheses in the table. Day 1 2 3 4 5 Aα Bγ C Dβ Eδ 1 (102) (92) (96) (120) (123) Table 1: Throughput Data Operator 2 3 4 Bβ (105) Cγ (82) Dδ (141) Cδ (112) D (131) Eα (112) Dα (130) Eβ (108) Aγ (73) Eγ (100) Aδ (111) B (116) A (110) Bα (111) Cβ (85) 5 E Aβ Bδ Cα Dγ (132) (99) (129) (100) (100) (a) (4+3 points) Analyze the data and compare the five assembly methods. Give the ANOVA Table. Do multiple comparisons to find which of the methods are significantly better than the others? (b) (3 points) Which factors in the ANOVA table are not significant? Can you fit a better model without the insignificant factors? Explain clearly. 2. Natrella (1963, pp. 13–14) described an experiment on a resistor mounted on a ceramic plate in which the impact of four geometrical shapes of the resistors on the current noise of the resistor is studied. Only three resistors can be mounted on one plate. The design and data for the resistor experiment are given in Table 2. Table 2: Data, Resistor Experiment Shape Plate A B C D 1 1.11 0.95 0.82 2 1.70 1.22 0.97 3 1.60 1.11 1.52 4 1.22 1.54 1.18 (a) (3 points) Describe and justify the design. (b) (7 points) Analyze the experiment. 1 ...
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This note was uploaded on 06/06/2011 for the course STAT 4220 taught by Professor Smith during the Spring '08 term at UGA.

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