4. calculate the F statistic and all the required intermediate steps (Already ha
ID: 3231232 • Letter: 4
Question
4. calculate the F statistic and all the required intermediate steps (Already have)
F statistic = 8.512158
5. what conclusion can you make at this point (using the statistic and critical value)
6. calculate a measure of effect size (R2)
8. calculate the contrasts (post-hoc tests) to determine which groups significantly differ from eachother
9. what conclusion can you make now (using the results of the contrasts).
A student interested in alternative sleep aids has heard that valerian root, melatonin and 5-htp have very few side effects and may be able to help with her recent insomnia. She decides to run a little experiment with her sorority sisters to determine which of the three makes people fall asleep the fastest. The following data is the amount of time, in minutes, between consumption and sleep for each of the three natural sleep aids.
Valerian Root
Melatonin
5- HTP
29
39
25
32
32
30
27
34
31
30
36
27
26
35
33
34
34
28
31
33
32
34
37
30
28
31
31
32
30
27
Valerian Root
Melatonin
5- HTP
29
39
25
32
32
30
27
34
31
30
36
27
26
35
33
34
34
28
31
33
32
34
37
30
28
31
31
32
30
27
Explanation / Answer
sOL:
F= 8.512
p=-.00136
p<0.05
Reject Null hypothesis
Accept Alternative hypothesis
there is sufficient eviodence at 5% level of significance to supoport the claim that groups significantly differ from eachother
Solution8:
ukey HSD results
he Scheffé p-value of the observed TT-statistic Ti,jTi,j is shown below for all relevant pairs of treatments, along with color coded Scheffé inference (red for insignificant, green for significant) based on the p-value.
Scheffé results
valerian root and melatonina re significant
melatonin and 5-HTP are significant.
Solution9:
5 htp has leas mean means it takes less time to go to sleep
Anova: Single Factor SUMMARY Groups Count Sum Average Variance Valerian Root 10 303 30.3 7.788889 Melatonin 10 341 34.1 7.655556 5- HTP 10 294 29.4 6.488889 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 124.4667 2 62.23333 8.512158 0.00136 3.354131 Within Groups 197.4 27 7.311111 Total 321.8667 29Related Questions
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