(Please include well-labeled graphs of the results.)
Analysis
Experiment 1 (Rats)
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Treatment
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0 mg
10 mg
9.24
22.34
8.76
6.45
8.78
14.23
13.5
3.55
12.3
8.99
Average
10.516
11.112
Standard Deviation
2.225551617
7.402885924
T Test
0.867403497
Significant?
No
Experiment 2 (Humans)
Anova: Single Factor
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'
'
'
'
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SUMMARY
Groups
Count
Sum
Average
Variance
0 mg
10
38.34
3.834
2.31956
5 mg
10
89.32
8.932
2.540617778
10 mg
10
616.22
61.622
906.6538844
15 mg
10
6579.41
657.941
45344.71112
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
3027016.695
3
1009005.565
87.25360195
1.40083E-16
2.866265551
Within Groups
416306.0267
36
11564.0563
Total
3443322.721
39
Post-Hoc Tests
t test value
Corrected P Value to Achieve Significance
Significant?
0mg vs 5mg
8.59631E-07
0.0083
Yes
0mg vs 10mg
9.94377E-06
0.0083
Yes
0mg vs 15mg
1.39436E-08
0.0083
Yes
5mg vs 10mg
3.01859E-05
0.0083
Yes
5mg vs 15mg
1.57101E-08
0.0083
Yes
10mg vs 15mg
6.4824E-08
0.0083
Yes
In the first experiment with the rats, there was no statistical significance between 0 mg of the lipopolysaccaride and 10 mg of the lipopolysaccaride because the p value for the two tailed T-Test was less than .05 (less than 95% confidence). In the second test with the humans, there was a statistically significant difference between the treatment groups,as determined by the single factor ANOVA test. However, this did not determine which treatment groups were statistically significant. So, a Bonferroni Correction was applied and a corrected p value was determined to be .0083. A T-Test was then run between all treatment groups and all T-Test results were less than the corrected p value, indicating that they are statistically significant.
Summary/Discussion
Experiment 1 (rats): For this experiment, we saw a slight increase in protein levels from 0mg to 10mg of lipopolysaccharides. However, once we did the t-test we found the change to not be statistically significant due to the p-value of 0.867 being greater than alpha level of 0.05. Therefore, the results cannot be attributed to the change in dosage level in the pills and this is most likely due to chance.
Experiment 2 (humans): In this experiment, we observed an exponential increase between dosage amount and protein levels in human subjects. This is evident in the sharp increase in protein levels from 10 mg to 15 mg of lipopolysaccharide in the graph. Unlike the experiment with rats, a statistically significant relationship was found between dosage amount of lipopolysaccharide and protein levels. This was determined by performing an ANOVA analysis and then a Bonferroni Correction to show that the p-values of all treatment groups were less than 0.05 (95% confidence), indicating a statically significant relationship (as further explained in "Analysis" section). Since the p-values of all treatment groups were less than 0.05, we can conclude that the increase in protein levels was directly attributable to change in dosage levels of polysaccharide and not a result of natural variation or chance.
BME 100 Fall 2013
