midterm.02 - Midterm 1. Three different methods for...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Midterm 1. Three different methods for measuring fuel injector flow are tested on three calibrated master injectors by nine different operators (see table below). Part 1 2 3 1 A=4.93 B=4.88 C=4.93 2 B=4.77 C=5.52 A=4.47 3 C=4.78 A=4.59 B=4.77 4 A=4.97 C=4.96 B=5.28 Operator 5 6 B=4.90 C=5.39 A=4.67 B=5.11 C=5.29 A=5.26 7 A=4.93 B=4.65 C=5.16 8 B=4.86 C=5.49 A=4.58 9 C=4.58 A=4.77 B=4.98 (a) Test a main effects model. (b) Operators 1-3 work Shift 1, operators 4-6 work Shift 2, and operators 7-9 work Shift 3. Test for a Shift effect. (c) Include a Part by Method interaction in the main effects model. Is it significant? Does it affect the significance of Method? (d) Assume that the parts are tested in the order presented. Is the design balanced for Residual Effects? Is Residual Effect significant? (Use the main effects model) 2. Biscuits are baked with 5 different levels of baking powder and relative rise is recorded as the response. Results from a pilot study appear below: Amount (tsp) Relative Rise .5 8.3 1 12.7 1.5 20.6 2 28.3 2 29.5 2.5 29.8 (a) Test for the effect of amount of baking powder on relative rise using a cell means model. Construct a linear contrast (use Table X) and test whether it is significant. (b) Test for a linear effect of amount of baking powder on relative rise using a simple linear regression model. Compare your results (particularly the estimated error) from the two methods. What are the advantages/disadvantages of the two different estimates of error? (c) If we wanted to detect a linear contrast of 4 with 90% power, how many replications would be needed? Compare your answer using the different estimates of error from parts one and two. Assume α = .05. 1 ...
View Full Document

This note was uploaded on 10/01/2009 for the course STAT stat706 taught by Professor Johnm.grego during the Spring '08 term at South Carolina.

Ask a homework question - tutors are online