What is the most appropriate test to determine if the three caffeine concentrations resulted to different mean adenine concentration of silage at 5% level of significance? Justify your answer. Test to be used: ________________ Justification (Elaborate the assumptions and include only the p-values and conclusions for assumptions requiring
Caffeine is a common drug that affects the central nervous system. Among Problem 3.4 the issues involved with caffeine are how does it get from the blood to the brain, and does the presence of caffeine alter the ability of similar compounds to move across the blood-brain barrier? In this experiment, 15 lab rats were randomly assigned to one of 3 treatments (0, 5, and 10 mM of caffeine). Each treatment consisted of an arterial injection of C14-labeled adenine together with a concentration of caffeine (0 to 50 mM). Shortly after injection, the concentration of labeled adenine in the rat brains is measured as the response (data from McCall, Millington, and Wurtman 1982).
|
0 mM |
5 mM |
10 mM |
|
5.74 |
5.92 |
3.05 |
|
6.9 |
3.66 |
1.94 |
|
3.86 |
4.62 |
1.23 |
|
6.94 |
3.47 |
3.45 |
|
6.49 |
1.33 |
1.61 |
What is the most appropriate test to determine if the three caffeine concentrations resulted to different mean adenine concentration of silage at 5% level of significance? Justify your answer.
Test to be used: ________________
Justification (Elaborate the assumptions and include only the p-values and conclusions for assumptions requiring test of hypothesis): ___________________
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- Suppose they conducted another set of experiment with increased sample size and saw that the three caffeine concentrations resulted to a different
mean adenine concentration. Table below showed summary of Tukey’s HSD. Summarize the result of Tukey’s HSD in Table 2 and provide synthesis, given 5% level of significance.
Table 1. Matrix of HSD’s test result for the experiment
|
Treatments |
Mean difference |
p - value |
|
0mM – 5mM |
2.6283 |
<0.001 *** |
|
0mM – 10mM |
3.9383 |
0.0112 * |
|
5mM – 10mM |
1.3100 |
0.2458 |
Table 2. Summary of HSD’s result
|
Treatment |
Mean |
SD |
Summary (in letter or in dot form) |
|
0mM |
6.0233 |
1.1508026 |
|
|
5mM |
3.3950 |
1.8064855 |
|
|
10mM |
2.0850 |
0.9490153 |
Synthesis:
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