In: Statistics and Probability
Researchers from the university of Kent, UK, were interested in whether collectivist or individualist attitudes are related to one’s intent to comply with social distancing and safety guidelines during COVID-19. Participants were classified as either collectivist or individualist, and rated their intent to comply with guidelines on a scale from 1-5, where 1 is definitely not and 5 is definitely yes. Please conduct an independent-groups t test to determine if there is a significant difference in intention to comply between individualists and collectivists.
In addition, please:
- report cohen’s d
- report r^2
- conduct and interpret an F-MAX test
- include 95% confidence intervals
- report your answer in words that directly address the research
question
Collective
x f
3 2
4 6
5 12
Individual
x f
1 1
2 3
3 11
4 13
5 2
Solution
For collective group; the data is as
3 | 2 | 6 | 4.5 | |
4 | 6 | 24 | 4.5 | |
5 | 12 | 60 | 4.5 |
For individual, the data is as
1 | 1 | 1 | 3.4 | |
2 | 3 | 6 | 3.4 | |
3 | 11 | 33 | 3.4 | |
4 | 13 | 52 | 3.4 | |
5 | 2 | 10 | 3.4 | |
hence
Sample standard deviation
(a)
(b)
We know that
hence
(c)
(d)
Hence interval is