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  • Donor-Participants species probability

    Hi all,
    We are doing a microbiome study with FMT (Fecal Microbiota transplant), and I have a statistic question about something we found.

    Background
    In the experiment there are 2 donors and 11 recipients.
    Donor 1 group are 6 participants
    Donor 2 group are 5 participants

    Result of FMT
    In Donor 1 group we have 3 responders, and 3 non responders
    In Donor 2 group we have 0 responders, and 5 non responders

    We found that there is only one species that is in Donor 1 and in the 3 responders, but not found in the rest.
    We suspect that this species can be a marker for matching Donor-Participant for being a responder.
    We have 200 species in all the samples together.

    Question
    I would like to calculate the probability for this, and I believe Bayes probability is the way.
    I think that I know how to ask the question, but not to do the calculation and I will appreciate your help:

    What is the likelihood to be this species that found only in Donor 1 and in his responders, when I have only 3 responders out of 11 participants and 2 Donors?

    Thanks for the reading, and I hope to understand it ��
    Last edited by papori; 05-10-2020, 01:33 AM.

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