Homework SourseA researcher examined the effects if any of eliminating eith
A researcher examined the effects (if any) of eliminating either vision, smell, or both, from inclusion in identifying taste. In order to determine this, he asked participants to taste Skittles under one of three conditions. Group one (taste alone) closed their eyes and pinched their noses, group two (taste and olfaction) closed their eyes, and group three (taste plus olfaction plus vision) had no restrictions. Each participants had to taste 10 Skittles and the researcher recorded the number of correct guess for each participant.
Group 1
Taste Alone
Group 2
Taste + Olfaction
Group 3
Taste + Olfaction +
Version
Correct guess
Correct guess
Correct guess
2
3
10
5
5
10
4
6
10
8
3
10
7
4
10
2
2
10
6
3
10
10
3
10
7
9
10
8
8
10
7
7
10
2
10
10
5
6
10
4
6
10
6
2
10
5
4
10
3
6
10
4
5
3
Using alpha = .05.
(1) Is there a statistically significant difference in mean number of correct guess among three groups?
(2) What can you conclude?
(3) Calculate the effect size for the mean difference classify it as being indicative of a \"small,\" \"medium,\" or \"large\" ES. Show all your hand calculations for ES
| Group 1 Taste Alone | Group 2 Taste + Olfaction | Group 3 Taste + Olfaction + Version |
| Correct guess | Correct guess | Correct guess |
| 2 | 3 | 10 |
| 5 | 5 | 10 |
| 4 | 6 | 10 |
| 8 | 3 | 10 |
| 7 | 4 | 10 |
| 2 | 2 | 10 |
| 6 | 3 | 10 |
| 10 | 3 | 10 |
| 7 | 9 | 10 |
| 8 | 8 | 10 |
| 7 | 7 | 10 |
| 2 | 10 | 10 |
| 5 | 6 | 10 |
| 4 | 6 | 10 |
| 6 | 2 | 10 |
| 5 | 4 | 10 |
| 3 | 6 | 10 |
| 4 | 5 | |
| 3 |
Solution
(1) Is there a statistically significant difference in mean number of correct guess among three groups?
Null hypothesis: all means are eqaul
Alternative hypothesis: at least one mean is different.
The test statistic is
F=37.57
The p-value of F test is closed to 0
Since the p-value is less than 0.05, we reject the null hypothesis.
So we can conclude that there is a statistically significant difference in mean number of correct guess among three groups
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(2) What can you conclude?
So we can conclude that there is a statistically significant difference in mean number of correct guess among three groups
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(3) Calculate the effect size for the mean difference classify it as being indicative of a \"small,\" \"medium,\" or \"large\" ES. Show all your hand calculations for ES
Small: 5/2.333 = 2.143
Medium:5.3/2.3 = 2.304
Larger: 10/0 =0
| Mean | n | Std. Dev | |
| 5.3 | 18 | 2.30 | Group 1 |
| 5.0 | 19 | 2.33 | Group 2 |
| 10.0 | 17 | 0.00 | Group 3 |
| 6.7 | 54 | 2.96 | Total |
