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PETER REDDIEN: All right, so let's turn
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to phase being unknown and how to deal with this.
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OK.
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All right, so let's imagine a pedigree here, a simple one.
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OK.
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And then we have this is our D over plus situation again.
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I'll give you the SSR genotypes then.
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OK.
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OK.
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All right, so we've got A over B, A over B, A over
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A, B over B, and A over A. Do we have any informative meiosis?
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Let's think.
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Let's take an individual at a time.
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This individual, what did this male offspring
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get from this female parent?
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It must have gotten A and for the disease gene,
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we can tell which went together.
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We know that A and D came together from this parent.
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That's an informative meiosis.
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And you'll see that there are three informative meiosis here.
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Do we know the phase of this individual?
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No.
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We don't have any information about this female's parents.
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We have no way of knowing the phase.
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OK, so this is a situation where we have data,
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but phase is unknown.
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What do we do with this data?
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Well, we could say, well, we're going
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to have a tough time figuring out
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recombinant or non-recombinant gametes.
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So let's just ignore it.
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On the other hand, we want to get every bit of information
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we can out of these pedigrees.
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It's, kind of, hard to get a lot of data here.
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Families tend to be small compared to the type of data
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we can get in the lab with model organisms.
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And if they kept going a certain direction,
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you would intuitively think that's got
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to be indicative of something.
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It's going to be changing the probability of linkage.
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And so we can include these meiosis
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in our calculation for the LOD score.
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So if the phase is unknown, we're
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going to average the probabilities of the data
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from the two possible phases.
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OK, well, we could say it could have been with A with D,
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or it could have been A with plus.
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Since we don't know, we'll just say
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there's a 50% chance of either scenario.
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And then we'll average the probabilities
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of getting these data.
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OK, so our LOD score then--
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OK, just like before, it's going to be now
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the probability of data given linkage in phase one
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plus the probability of getting the data with linkage
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in phase two.
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OK, and then we're going to take the average of this
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and then divide by the probability of getting
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the data if they are unlinked.
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OK.
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So let's go through that with this new example
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where we have three informative meiosis here.
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OK, so our LOD score then--
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OK, so one scenario I'm going to give you
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a theta for this example, just going
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to give you a theta of 0.1.
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So our data here would be 0.45 cubed plus 0.05 cubed divided
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by 0.25 cubed.
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OK.
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All right, so some phase where they were A with D
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would have three non-recombinant gametes,
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as you'll see if you walk it through,
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and then some phase where it was A with plus
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would have three recombinant gametes.
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And with theta 0.1, then we'd have this probability
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of a given non-recombinant gamete and this probability
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of a recombinant gamete, and we'll
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see that we get a LOD score here of 0.465.
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OK, so you'll see that it is positive.
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So these data do contribute it-- do contribute to a LOD score.
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They contribute, in this case, a positive value to a LOD score.
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What you'll see is that if you have one individual, one
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meiosis where the phase is not known like in the example
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we had up here if you do this, your LOD score
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will be 0 for one meiosis.
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So if you just have one individual coming
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from one meiosis where the phase was unknown in the parents,
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you don't have-- you can ignore it.
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But if you have multiple individuals where
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the parents had phase unknown like in this scenario,
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then they do contribute to the LOD score.
7271
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