Homework6_S11

Homework6_S11 - STAT 496, Spring 2011 Homework Assignment...

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STAT 496, Spring 2011 Homework Assignment #6, Due by Thursday, March 24 1. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle (C) on the life (in hours) of a machine tool. Because the hardness of the raw material being tooled may vary, heats of raw material are used as blocks. The eight treatment combinations are run in a random order within each block (heat). The levels of each of the 3 factors are given below along with the data. Low (–1) High (+1) A: Cutting Speed 50 rpm 100 rpm B: Tool Geometry Type 1 Type 2 C: Cutting Angle 5 o 10 o XA XB XC Heat I Heat II Heat III –1 –1 –1 22 31 25 +1 –1 –1 32 43 30 –1 +1 –1 35 50 35 +1 +1 –1 45 55 47 –1 –1 +1 43 45 38 +1 –1 +1 36 38 40 –1 +1 +1 50 61 54 +1 +1 +1 47 43 39 a) Compute means for the low and high levels of each of the three factors. Display these graphically and comment on the apparent effects of each of the factors. b) Construct an interaction plot for factors A and C using the data from Type 1 tool geometry. Construct a second interaction lot for factors A and C using the data from the Type 2 tool geometry. Comment on the plots. What do they indicate about the possible interaction between factors A and C? What do they indicate about the 3-way interaction? c) Compute the overall sample mean and estimate the full effects for each factor, 2- way and 3-way interaction. d)
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This note was uploaded on 02/11/2012 for the course STAT 496 taught by Professor Staff during the Spring '08 term at Iowa State.

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Homework6_S11 - STAT 496, Spring 2011 Homework Assignment...

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