Question
We want to know if people feel hopeful about the future for different age groups. We...
We want to know if people feel hopeful about the future for different age groups. We conduct a survey on a scale of 1 (feel extremely unsecure) to 7 (feel extremely secure). The results are shown in Table 1.
|
Table 1: Feeling Secure about the Future |
|||||
|
Young Adults |
Adults |
Elderly |
|||
|
1 |
5 |
7 |
|||
|
2 |
5 |
6 |
|||
|
3 |
4 |
7 |
|||
|
3 |
2 |
6 |
|||
|
4 |
2 |
6 |
|||
A Find the F-ratio at the α = .05. Round to three numbers after the decimal point if possible (i.e., .123).
B.Do you retain or reject the null from part A? Why?
C.Perform a post-hoc test at the α = .05 to see which age groups are significantly different from each other (Tukey’s HSD).
Homework Answers
Answer #1
excel<data<data analysis<one way anova
| SUMMARY | ||||||
| Groups | Count | Sum | Average | Variance | standard deviation | |
| Column 1 | 5 | 13 | 2.6 | 1.3 | 1.140175425 | |
| Column 2 | 5 | 18 | 3.6 | 2.3 | 1.516575089 | |
| Column 3 | 5 | 32 | 6.4 | 0.3 | 0.547722558 | |
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Between Groups | 38.8 | 2 | 19.4 | 14.92308 | 0.000556102 | 3.885294 |
| Within Groups | 15.6 | 12 | 1.3 | |||
| Total | 54.4 | 14 | ||||
| post-hoc test | ||||||
| group | difference | p-value | ||||
| group1-group2 | 1 | 0 | ||||
| group1-group3 | 3.8 | 0.005 | ||||
| group2-group3 | 2.8 | 0.0052 | ||||
A) null and alternate hypothesis:
H0:
H1: atleast one mean is different from other
i) test statistics
F =14.923
B) p-value = 0.0005
since p-value is less than level of significance so we reject the null hypothesis.
C) from post hoc test
group1-group2 is different means
group1-group3 is diferent mean
group2-group3 is different mean.
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