MHB Test Equivalence: Med Student Seeking Help

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A medical student from Sweden is seeking assistance with calculating equivalence in gene expression data from an experimental and control group. They have identified some genes with significant differences in expression but suspect two may actually have equal expression. Suggestions include using the Kolmogorov-Smirnov test to assess if the two samples have the same distribution, with online calculators available for this purpose. Excel does not have this test built-in, but plug-ins can facilitate the analysis. The discussion also clarifies that subtracting p-values from a t-test is not a standard method for proving equivalence.
awkwardsilence
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Hey you guys! I'm a med student from Sweden in need of some help!

I'm doing a summer course type-a thing in a lab, and I have to present some data from a project I've been doing here. Now, I've tested several genes' expression and I've compared those of an experimental group to a control group. Now that I'm done with the experiments, I've found that some genes show a significant difference in expression between exp. group and ctrl group, and others do not. I think two of the genes are more likely then the others to in reality have equal expression of the gene, in both the groups, but I can't prove a null hypothesis with a t-test...

So, my question now is HOW do I calculate equivalence (and get as close as possible to proving the two samples are equal)?

How do I calculate this in an easy way? (Excel/ online test)

From what I understand, there's one type of test where you calculate two(?) p-values with a regular t-test, then subtract from each other and it should be less p=0.10. I don't really understand it though... Like what two p-values could I get from the same samples? :S

I'd love to get an answer from any of you, if you have an idea about how to solve my problem!
 
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Hi awkwardsilence! Welcome to MHB! (Smile)

I think you're looking for the Kolmogorov-Smirnov test.
It can test if 2 samples have the same distribution.

We can find online calculators for it.
Excel doesn't have it on its own, but there are plug-ins available.
Or else we can do it directly in excel by introducing an intermediate column.

I'm not aware of a test that involves subtracting p-values from a t-distribution.
As for how that might be possible, I can surmise that we could combine the 2 samples into 1 and deduce a means, standard deviation, and degrees of freedom from it. That would be an approximation of the actual common distribution - if it exists. After that, we can find p-values for each of the 2 samples against that distribution.
 
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