In: Statistics and Probability
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean course score on the previous three course-testings. She then asked them to rate how likely they were to cheat on an course-testings if the opportunity presented itself with very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat.
Achievement_Group | Gender | Cheat |
1 | 0 | 20 |
1 | 0 | 40 |
1 | 0 | 49 |
1 | 0 | 50 |
1 | 0 | 51 |
1 | 0 | 51 |
1 | 0 | 52 |
1 | 0 | 53 |
1 | 0 | 58 |
1 | 1 | 42 |
1 | 1 | 48 |
1 | 1 | 48 |
1 | 1 | 52 |
1 | 1 | 55 |
1 | 1 | 55 |
1 | 1 | 56 |
1 | 1 | 59 |
1 | 1 | 67 |
1 | 1 | 80 |
1 | 1 | 79 |
2 | 0 | 19 |
2 | 0 | 25 |
2 | 0 | 20 |
2 | 0 | 29 |
2 | 0 | 24 |
2 | 0 | 32 |
2 | 0 | 25 |
2 | 0 | 27 |
2 | 0 | 30 |
2 | 0 | 55 |
2 | 1 | 40 |
2 | 1 | 25 |
2 | 1 | 27 |
2 | 1 | 35 |
2 | 1 | 42 |
2 | 1 | 30 |
2 | 1 | 30 |
2 | 1 | 34 |
2 | 1 | 40 |
2 | 0 | 27 |
3 | 0 | 60 |
3 | 0 | 65 |
3 | 0 | 69 |
3 | 0 | 78 |
3 | 0 | 79 |
3 | 0 | 80 |
3 | 0 | 80 |
3 | 0 | 90 |
3 | 0 | 95 |
3 | 0 | 50 |
3 | 1 | 55 |
3 | 1 | 55 |
3 | 1 | 60 |
3 | 1 | 69 |
3 | 1 | 70 |
3 | 1 | 70 |
3 | 1 | 88 |
3 | 1 | 90 |
3 | 1 | 90 |
3 | 1 | 91 |
Answer:
Given that,
A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers.
She divided her 60 students into three groups (low, middle, and high) based on their mean course score on the previous three course-testings.
She then asked them to rate how likely they were to cheat on course-testings if the opportunity presented itself with a very limited chance for consequences.
The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat.
Using SPSS software.
Tests of Between- Subjects Effects.
Dependent Variable: Cheat
Source | Type III Sum of Squares | df | Mean Square | F | Sig. |
Corrected model Intercept Achievement Group Gender Achievement_Group* Gender Error Total Corrected Total |
19597.452^a 165214.115 18516.584 401.532 355.916 7407.798 193959.000 27005.250 |
5 1 2 1 2 54 60 59 |
3919.490165214.115 9258.292 401.532 177.958 137.181 |
28.572 1204.347 67.489 2.927 1.297 |
0.000 0.000 0.000 0.093 0.282 |
Achievement_Group: The p-value for the factor Achievement_Group is 0.000 and less than 0.05 level of significance. Hence, we can conclude that Achievement_Group has a significant effect on cheat.
Gender: The p-value for the factor Gender is 0.093 and greater than 0.05 level of significance. Hence, we can conclude that Gender does not have a significant effect on cheat.
Interaction achievement_Group: * Gender: The p-value for the interaction of Achievement_Group and Gender is 0.282 and greater than 0.05 level of significance. Hence, we can conclude that there is no significant interaction effect on cheat.