In this discussion, we will investigate confidence intervals and t tests
for continuous data. To do this, we will revisit the TAA data that you
studied in the Week Three assignment.
You may recall from the Week Three assignment that you have available
data on 12 tumor-associated antigens (TAAs), from 90 normal individuals
(controls) and 160 hepatocellular carcinoma patients (cases). These data
are in the Excel file MHA610_Week 3_Assignment_Data.xls;
the levels of the 12 TAAs are given in the columns with headings Ab14,
HCC1, IMP1, KOC, MDM2, NPM1, P16, P53, P90, RaIA, and Survivin.
- First, randomly select three of the 12 TAAs for further study.
- Next, Perform two sample t-tests for comparing the levels of each of your three TAAs between the cases and the controls.
- Then, Use the t-tests to order the TAAs in terms of relative
ability to discriminate between the cases and controls, from best to
worst discriminator. Is this ordering helpful if you want to select a
subset of TAAs to discriminate between cases and controls? Assume for
now that you can judge the relative merits of your three TAAs by the
magnitudes of their respective two-sided p-values from the two sample
t-tests, so that your best discriminator is the TAA with the smallest
p-value. - Lastly, Construct and report 95% confidence intervals for the
mean level of your best TAA discriminator in the controls, the mean
level of your best TAA discriminator in the cases, and the difference in
mean levels (cases – controls). Discuss whether your confidence
intervals are concordant with the t-tests.
Expert Solution Preview
Introduction:
This assignment aims to test the knowledge of medical college students on confidence intervals and t-tests for continuous data. The dataset used in this discussion is the TAA data provided in the Week Three assignment. The students will have to randomly select three out of twelve TAAs and perform two sample t-tests to compare the levels between cases and controls. They will have to order the TAAs based on their ability to discriminate between cases and controls, construct and report 95% confidence intervals, and discuss whether the intervals are concordant with the t-tests.
Answer:
1. Randomly select three of the 12 TAAs for further study.
The students need to randomly select three TAAs out of the twelve provided in the dataset for further study.
2. Perform two sample t-tests for comparing the levels of each of your three TAAs between the cases and the controls.
Once the three TAAs are selected, the students need to perform two sample t-tests to compare the levels of each TAA between cases and controls.
3. Use the t-tests to order the TAAs in terms of relative ability to discriminate between the cases and controls, from best to worst discriminator. Is this ordering helpful if you want to select a subset of TAAs to discriminate between cases and controls?
The students need to order the TAAs based on their ability to discriminate between cases and controls, from the best to the worst discriminator. This ordering will help in selecting a subset of TAAs to discriminate between cases and controls. The best discriminator will be the TAA with the smallest p-value.
4. Construct and report 95% confidence intervals for the mean level of your best TAA discriminator in the controls, the mean level of your best TAA discriminator in the cases, and the difference in mean levels (cases – controls). Discuss whether your confidence intervals are concordant with the t-tests.
The students need to construct and report 95% confidence intervals for the mean level of the best TAA discriminator in controls, the mean level of the best TAA discriminator in cases, and the difference in mean levels (cases – controls). They need to discuss whether the confidence intervals are concordant with the t-tests.
