Percentage of orally administered drug excreted in urine as glucoronides Subject

Question

Percentage of orally administered drug excreted in urine as glucoronides

Subject

High-fat diet

Low-fat diet

1

2.55

1.27

2

2.92

1.6

3

1.71

0.53

4

4

1.02

5

0.77

0.74

6

1.03

0.67

a. What parametric test can be used to compare the glucoronides percentage on a high-fat diet vs a low-fat diet?

b. Perform the test for two sided test.

c. What nonparametric test can be used to compare the glucoronides percentage on a high-fat diet vs a low-fat diet?

d. Perform the test for two sided test.

Percentage of orally administered drug excreted in urine as glucoronides

Subject

High-fat diet

Low-fat diet

1

2.55

1.27

2

2.92

1.6

3

1.71

0.53

4

4

1.02

5

0.77

0.74

6

1.03

0.67

Explanation / Answer

a. What parametric test can be used to compare the glucoronides percentage on a high-fat diet vs a low-fat diet?

Here both the variables are quantitiative and measure on continuous scale and assume the distribution is normal.

t-test difference of means is the right test can be used to compare in this problem.

b. Perform the test for two sided test.

Null hypothesis; There is no difference in mean percentages of glucoronides in high fat and low fat diets

Alternative hypothesis: There is difference in mean percentages in high and low fat diets.

The test statistic is =( mean of fat diet - mean of low fat diet)/SE

since the P-value is greater than 0.05, so at 5% level there is no evidence to reject the null hypothesis.

c. What nonparametric test can be used to compare the glucoronides percentage on a high-fat diet vs a low-fat diet?

Wilcoxon mann-whitney test used to compare the glucoronides percentage on high fata vs a low fat diet because here the samples are independent and this is analog to two sample t test.

d. Perform the test for two sided test.

Mann-Whitney Test and CI: Hig-fat diet, Low-fat diet

N Median
Hig-fat diet 6 2.130
Low-fat diet 6 0.880

Point estimate for ETA1-ETA2 is 1.110
95.5 Percent CI for ETA1-ETA2 is (0.010,2.399)
W = 52.0
Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0453

Data Hypothesized Difference 0 Level of Significance 0.05 Population 1 Sample Sample Size 6 Sample Mean 2.1633 Sample Standard Deviation 1.2269 Population 2 Sample Sample Size 6 Sample Mean 0.9717 Sample Standard Deviation 0.4064 Intermediate Calculations Numerator of Degrees of Freedom 0.0775 Denominator of Degrees of Freedom 0.0127 Total Degrees of Freedom 6.0842 Degrees of Freedom 6 Separate Variance Denominator 0.5276 Difference in Sample Means 1.1916 Separate-Variance t Test Statistic 2.2583 Two-Tail Test Lower Critical Value -2.4469 Upper Critical Value 2.4469 p-Value 0.0647 Do not reject the null hypothesis

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