First, randomly select three of the 12 TAAs for further study (Ab14, HCC and IMP1) file attached
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 you’re 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.