In: Statistics and Probability
The following scenario is based loosely on an actual study conducted in 2013 by Ahn, Kim, and Aggarwal– please note that methods and data have been modified for educational purposes. Do you turn off the light when you leave the room? South Korean researchers wondered how they could increase the number of people who do by use of posters (Ahn, Kim, & Aggarwal, 2013). In one, an image of a light bulb was anthropomorphized by giving it eyes, nose, and a mouth, as well as adding the words, “I’m burning hot, turn me off when you leave!”. In a second, there were no human features on the light bulb and the text simply said, “Our bulbs are burning hot, turn the lights off when you leave!”. They compared how people would respond to the two posters by having each displayed in separate coffee rooms for two weeks. Although the coffee rooms were different, they were matched as closely as possible on as many parameters as possible (similar business, # of employees, et cet) such that this is a correlated groups design. Percent likelihood of someone turning off the light upon exiting was calculated every day and is presented below. Select and conduct the most appropriate statistical test based on the premise that all assumptions are met for a parametric test and this is a correlated groups design. Determine whether there is a difference in likelihood of turning off the light based on the poster campaign.
Anthropomorphism Nonanthropomorphism
87.2 76.3
78.1 86.2
77.5 76.5
91.9 87.0
86.6 77.6
87.4 86.8
76.5 76.2
65.7 65.2
88.3 55.4
57.5 51.7
68.6 61.8
67.9 53.7
73.5 62.9
77.7 57.6
1) Paste appropriate SPSS output.
2) Paste the appropriate SPSS graph. Make sure you have a y axis label and labels for your two groups.
3) Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don’t forget to include a decision about the null hypothesis.
4) If the assumptions had been violated, what would the most appropriate statistical test be?
First write the data in SPSS:
#1
Steps:
Analyze-->Descriptive Statistics-->Explore
After select the data:
Here p value is greater than 0.05 we do not reject the null hypothesis. So our both data follow normality:
#2
Boxplot:
#3
Steps:
Analyze-->Compare Means-->Paired Sample T test
After select the data:
APA:
There is a significant difference between Anthropomorphism and Nonanthropomorphism , t(13) = 2.866, p =.013.
We do not reject the null hypothesis.
#4
If the assumptions had been violated, most appropriate statistical test be paired samples Wilcoxon test that is non-parametric test and that is alternative of the paired t test in non parametric t test.