Suppose now a different experiment was conducted to examine the effect of a set of 6 treatments on subjects. Suppose each of the treatment, labelled A, B, C, D, E and F, is independently implemented on 16 subjects. Suppose that treatment i's sample mean, y₁., is given as follows. Yi. Treatment A 0.513 Treatment B 0.799 Treatment C-0.277 Treatment D 0.884 Treatment E -0.616 Treatment F 0.114 The treatments have already been analysed with an ANOVA model and was found to have a statistically significant result requiring a more in-depth analysis looking at all the pairwise comparisons between treatments. Assuming the ANOVA analysis is valid, use the information above to answer the following questions: i. If we desire an overall significance level of a = 0.05, in the Bonferroni adjustment, what should the individual significance level, a* be for each individual pairwise test? Write your answer to at least 3 decimal places. ii. In the Tukey's HSD, we need the range statistic, max; yį. — minį į.. What's the value of this statistic?Write your answer to at least 3 decimal places.
Suppose now a different experiment was conducted to examine the effect of a set of 6 treatments on subjects. Suppose each of the treatment, labelled A, B, C, D, E and F, is independently implemented on 16 subjects. Suppose that treatment i's sample mean, y₁., is given as follows. Yi. Treatment A 0.513 Treatment B 0.799 Treatment C-0.277 Treatment D 0.884 Treatment E -0.616 Treatment F 0.114 The treatments have already been analysed with an ANOVA model and was found to have a statistically significant result requiring a more in-depth analysis looking at all the pairwise comparisons between treatments. Assuming the ANOVA analysis is valid, use the information above to answer the following questions: i. If we desire an overall significance level of a = 0.05, in the Bonferroni adjustment, what should the individual significance level, a* be for each individual pairwise test? Write your answer to at least 3 decimal places. ii. In the Tukey's HSD, we need the range statistic, max; yį. — minį į.. What's the value of this statistic?Write your answer to at least 3 decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose now a different experiment was conducted to examine the effect of a set of 6 treatments on subjects. Suppose each of the treatment, labelled A,
B, C, D, E and F, is independently implemented on 16 subjects. Suppose that treatment i's sample mean, yį., is given as follows.
Yi.
Treatment A 0.513
Treatment B 0.799
Treatment C -0.277
Treatment D 0.884
Treatment E -0.616
Treatment F 0.114
The treatments have already been analysed with an ANOVA model and was found to have a statistically significant result requiring a more in-depth
analysis looking at all the pairwise comparisons between treatments. Assuming the ANOVA analysis is valid, use the information above to answer the
following questions:
i.
If we desire an overall significance level of a = 0.05, in the Bonferroni adjustment, what should the individual significance
level, a* be for each individual pairwise test? Write your answer to at least 3 decimal places.
ii.
In the Tukey's HSD, we need the range statistic, maxį ÿį. — minį ÿį.. What's the value of this statistic?Write your answer
'to at least 3 decimal places.
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