Correlation analysis of proteins to clinical variables of individuals

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I want to do a correlation analysis of proteins to a clinical variable.

e.g. correlation of a protein to weight

For many individuals I have: 4 time points with different weights 4 protein intensities.

I can now make correlation tests and will get p-values for proteins for individuals

Person A: Protein 1 p=0.1 Protein 2 p=0.01 ...

Person B: Protein 1 p=0.2 Protein 2 p=0.3 ...

...

How can I calculate, if Protein 1 correlates significantly within the whole data set with weight? I have now as many p-values as individuals for every protein?

Is this the right approach?

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I think i found the answer myself.

a t-test with p-values from the correlations.

The null hypothesis: $H_0= $ pvalue $\geq 0.05$