We have two groups of Patients evualted in 6 months interval after using fish oil

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We have two groups of Patients evualted in  6 months interval after using fish oil. Group-1 are healthy subjects that were scanning initially and generate uptake value before taking the fish oil. After 6 months of taken the oil, the same scanning and uptake value were calculated for the same patient. Beside, the uptake value, we are taken blood test and estimate HDL and LDL of both times.

The same thing were done for diseased subjects.

I would like to the know the best statistical tests that can be used to estimate the efficiency of fish oil.

a) Do I need to used a normality test, to determine if I am going to use parametric or non-parametric test? Normality tests like Shapiro–Wilk test or kolmogorov smirnov test?

b) Now to check the efficiency of fish oil on health subjects? Should I use paired-t test on each subject. And if I did that I will generate p-value for each subject. Is there a way to conclude the overall p-value for all subjects.?

c) How to find the relation between Diagnostic scannign uptake value and blood test result (HDL, LDL)?.

d) how to compare healthy subject to diseased subjects?.

 

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