Test Equivalence: Med Student Seeking Help

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    Equivalence Test
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SUMMARY

The discussion centers on calculating equivalence in gene expression data between an experimental group and a control group. The Kolmogorov-Smirnov test is recommended as a method to assess whether two samples have the same distribution. While Excel does not natively support this test, users can utilize plug-ins or create intermediate columns for calculations. The concept of subtracting p-values from a t-test is clarified as not being a standard approach, with suggestions for combining samples to derive a common distribution for further analysis.

PREREQUISITES
  • Understanding of gene expression analysis
  • Familiarity with statistical tests, specifically the Kolmogorov-Smirnov test
  • Basic proficiency in Excel and its plug-ins
  • Knowledge of null hypothesis testing and p-values
NEXT STEPS
  • Research the Kolmogorov-Smirnov test and its applications in gene expression studies
  • Learn how to implement statistical plug-ins in Excel for advanced analysis
  • Explore methods for combining samples to analyze common distributions
  • Study the principles of null hypothesis testing and how to interpret p-values
USEFUL FOR

Medical students, researchers in genetics, and anyone involved in statistical analysis of biological data will benefit from this discussion.

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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