Expert answer:Three Factor Data Analysis
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mth_547_test_3.pdf
take_home_data.xlsx
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MTH 547 – FA 2017
Test 3 Take-Home Problem
General Instructions: You should create appropriate graphs to evaluate all assumptions and provide a
visual comparison of the treatment effects. Since the computer is doing the computations, it is
important that you clearly interpret all results in the context of the problem. Don’t just say the F test is
significant. Explain what that means in terms of the treatments being studied.
1) Assemblers in an electronics firm will attach 12 components to a newly developed “board” that will
be used in automatic control equipment in manufacturing plants. An operations analyst was interested
in the impact of three factors on the mean time to complete an assembly. The factors were gender
(1=male, 2=female), three specific sequences for installing the 12 components (1, 2, 3), and the
experience of the assembler (1: under 18 months, 2:18 months or more). 15 assemblers of each
combination of gender and experience were randomly assigned to use one of the sequences with 5
assigned to each sequence. After an appropriate learning period each of the 60 assemblers was timed
and the results are in “Take home data.csv”. Identify the type of design used and conduct a complete
analysis. What would you recommend to the analyst about minimizing assembly time.
Time
Gender
1250
1175
1236
1239
1193
1021
1099
1069
996
1070
1319
1251
1241
1295
1265
1119
1110
1123
1097
1163
1217
1190
1201
1232
1251
1033
1067
1057
1077
1022
1066
1076
1004
1002
1034
864
848
881
892
868
1105
1043
1051
1128
1060
927
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
Sequence Experience rep
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
2
1
2
2
1
2
1
2
1
2
1
2
1
2
2
2
2
2
2
2
2
2
2
3
1
3
1
3
1
3
1
3
1
3
2
3
2
3
2
3
2
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
2
1
2
2
1
2
1
2
1
2
1
2
1
2
2
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
944
957
897
933
1021
1020
1035
1000
1026
841
865
817
911
868
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
2
2
2
2
1
1
1
1
1
2
2
2
2
2
2
3
4
5
1
2
3
4
5
1
2
3
4
5
…
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