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A panel of film nerds at SXSW got into a heated argument over which character is the best cinematic villain of all time: The Joker

A panel of film nerds at SXSW got into a heated argument over which character is the best cinematic villain of all time: The Joker (from "The Dark Knight"), Darth Vader (from "The Empire Strikes Back"), or the Great White Shark (from "Jaws"). They decided to recruit four strangers from the festival who had never seen any of these classic films. Each person viewed all three films, in a randomized order, and they ranked the villainy of the big bads from each film from 1 (barely scary) to 9 (terrifying). The data are summarized in the table below. Use a repeated-measures ANOVA to evaluate whether these first-time viewers found any of the villains to be more villainous than the others.

Person

Joker

Darth Vader

Jaws

P =

A

1

2

3

6

B

2

6

9

17

N = 12

C

2

4

5

11

G = 56

D

7

8

7

22

X2 = 342

M =

3

5

6

T =

12

20

24

SS =

22

20

20

Answer Choices

Fail to reject H0. F(1,11) = 4.81, p > .05. The villains are similarly villainous.

Reject H0. F(2,6) = 5.39, p < .05. Jaws is the biggest villain.

Reject H0. F(1,11) = 6.63, p < .05. Jaws is the biggest villain.

Reject H0. F(2,6) = 12.78, p < .05. Jaws and Darth Vader are bigger villains than Joker.

Fail to reject H0. F(2,6) = 4.20, p > .05. The villains are similarly villainous.

Fail to reject H0. F(2,6) = 3.15, p > .05. The villains are similarly villainous.

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