Please use R: an analyst is looking to identify differences between dentists, methods and alloys on the hardness for gold fillings. Using the dataset below please answer the following questions: (a) Conduct a test to see if there are main effects for dentist, method, alloy, temperature. (b) Produce a plot which will show these effects if any. Interpret the plot, which should match your result in a. (c) Conduct a test to see if there are main effects for alloy and temperature as well as interaction effects.

C++ Programming: From Problem Analysis to Program Design
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ISBN:9781337102087
Author:D. S. Malik
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Chapter6: User-defined Functions
Section: Chapter Questions
Problem 3SA: Determine the value of each of the following expressions. (For decimal numbers, round your answer to...
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Please use R: an analyst is looking to identify differences between dentists, methods and alloys on the hardness for gold fillings. Using the dataset below please answer the following questions:

(a) Conduct a test to see if there are main effects for dentist, method, alloy, temperature.

(b) Produce a plot which will show these effects if any. Interpret the plot, which should match your result in a.

(c) Conduct a test to see if there are main effects for alloy and temperature as well as interaction effects.

(d) Product a plot which will show these effects if any. Interpret the plot, which should match your result in c.

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dentist
1
1
1
1
1
1
1
1
1
1
1
1
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1
1
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method
1
1
1
1
1
1
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2
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2
2
3
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3
3
3
1
1
1
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1
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2
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3
3
3
alloy
1
1
1
2
2
2
1
1
1
2
2
2
1
1
1
2
2
2
1
1
1
2
2
2
1
1
1
2
2
2
1
1
1
2
2
2
1
temperature
1500
1600
1700
1500
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1700
1500
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1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
1600
1700
1500
hardness
813
792
792
907
792
835
782
698
665
1115
835
870
752
620
835
847
560
585
715
803
813
858
907
882
772
782
743
933
792
824
835
715
673
698
734
681
743
Transcribed Image Text:1 2 3 4 5 6 7 00 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 dentist 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 2 2 3 method 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 alloy 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 temperature 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 1600 1700 1500 hardness 813 792 792 907 792 835 782 698 665 1115 835 870 752 620 835 847 560 585 715 803 813 858 907 882 772 782 743 933 792 824 835 715 673 698 734 681 743
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