EXMREVIIw11 - STAT 3504 Final Review Problems II 1. a) b)...

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STAT 3504 Final Review Problems II 1. a) What type of study would use to investigate the effect of 2 factors on a response? What are the advantages of such a study? What are the disadvantages? b) How do randomized block designs increase the precision in an experiment? c) Explain the difference between a CRD and a RBD. When is a RBD more advantageous? Why? When is a CRD more advantageous? Why? d) Why is replication used in an experiment? e) Explain how a GRBD differs from a RBD. What is the advantage of using a GRBD instead of an RBD? 2. a) What is meant by an "important interaction"? b) What is meant by a “removable interaction”? c) Give two circumstances under which you might use a transformation of the response variable in an analysis of variance. d) In a 2 factor study (fixed levels) with n = 1 replications, what extra assumption has to be made to carry out the analysis? What can be done to check this assumption? 3. An experiment was conducted to study the effect of machine type (A or B) and cardboard grade (Y or Z) on the number of defective cardboard boxes produced in an hour. The number of defectives produced was counted during 3 randomly sampled hours for each combination of machine type and cardboard grade. The following data and partial SAS output were obtained. Cardboard Grade Machine Type Y Z A 9 10 12 8 11 12 B 3 5 7 4 5 5 Analysis of Variance Procedure Dependent Variable: DEFECTS Sum of Mean Source DF Squares Square F Value Pr > F Model 90.9167 11.02 Error Corrected Total 112.9967 R-Square C.V. Root MSE DEFECTS Mean 0.805166 21.86786 7.5833333 Source DF Anova SS Mean Square F Value Pr > F MACHINE 33.00 GRADE 0.03 MACHINE*GRADE 0.03
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a) Complete the ANOVA table and include the EMS 's. b) Carry out all relevant ANOVA F-tests with a = .05. c) Use the Kimball inequality to put an upper bound on the family significance level for the set of tests. d) Carry out all pairwise comparisons for the RELEVANT factor effects, using the most efficient method. 4. Three dye formulas for a certain synthetic fiber are under consideration by a textile manufacturer who wishes to know whether the 3 are in fact different in quality. An experiment was designed in which 5 specimens of fabrics were cut into thirds, and one third was randomly assigned to be dyed by each of the
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This note was uploaded on 05/24/2011 for the course STAT 3504 taught by Professor Ann during the Winter '10 term at Carleton CA.

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EXMREVIIw11 - STAT 3504 Final Review Problems II 1. a) b)...

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