The club owner was wondering whether all three comedians (enumerated COMEDIAN 1, 2, and 3) generated the same average ticket (TICKETSOLD) and beverage (BEVSOLD) sales. What do you tell them? You need to figure out the answer to the above question via: Perform the Shapiro-Wilk test of normality and Levene’s (equality of variances) test for TICKETSOLD and BEVSOLD. Write up all tests. Given what you figured out in part (a), which variable(s) may be used in an ANOVA? How do you know? Perform the ANOVA with Tukey HSD post hoc test for variables suitable for an ANOVA. Write up the results. Create a 3-5 sentence response answering the owner’s question. Make sure you integrate the findings from parts (a)-(c) in your response. You may assume the owner possesses a knowledge of statistics equal to your own. The ANOVA Procedure Dependent Variable: VARIABLE Source DF Sum of Squares Mean Square F Value Pr > F Model df B C Error A Corrected Total The ANOVA was ______ (significant/insignificant), . COMEDIAN TICKETSOLD BEVSOLD 1 68 77 1 52 59 1 49 137 1 70 77 1 26 47 1 64 99 1 40 97 1 44 115 1 84 109 1 70 117 2 44 54 2 39 90 2 48 81 2 28 61 2 30 47 2 34 33 2 11 73 2 19 69 2 39 53 2 42 75 3 62 104 3 91 128 3 104 125 3 97 116 3 87 132 3 97 110 3 72 128 3 99 139 3 106 128 3 90 106
The club owner was wondering whether all three comedians (enumerated COMEDIAN 1, 2, and 3) generated the same average ticket (TICKETSOLD) and beverage (BEVSOLD) sales.
What do you tell them?
You need to figure out the answer to the above question via:
Perform the Shapiro-Wilk test of normality and Levene’s (equality of variances) test for TICKETSOLD and BEVSOLD. Write up all tests.
Given what you figured out in part (a), which variable(s) may be used in an ANOVA? How do you know?
Perform the ANOVA with Tukey HSD post hoc test for variables suitable for an ANOVA. Write up the results.
Create a 3-5 sentence response answering the owner’s question. Make sure you integrate the findings from parts (a)-(c) in your response. You may assume the owner possesses a knowledge of statistics equal to your own.
The ANOVA Procedure
Dependent Variable: VARIABLE
|
Source |
DF |
Sum of Squares |
Mean Square |
F Value |
Pr > F |
|
Model |
df |
|
|
B |
C |
|
Error |
A |
|
|
||
|
Corrected Total |
|
|
The ANOVA was ______ (significant/insignificant), .
COMEDIAN TICKETSOLD BEVSOLD
1 68 77
1 52 59
1 49 137
1 70 77
1 26 47
1 64 99
1 40 97
1 44 115
1 84 109
1 70 117
2 44 54
2 39 90
2 48 81
2 28 61
2 30 47
2 34 33
2 11 73
2 19 69
2 39 53
2 42 75
3 62 104
3 91 128
3 104 125
3 97 116
3 87 132
3 97 110
3 72 128
3 99 139
3 106 128
3 90 106
Step by step
Solved in 8 steps with 44 images
