第二題
In humans there is a blood group, the MN group, that is composed of
individuals having one of the three blood tzpes M, MN; and N. Type is
determined by two alleles, and there is no dominance, so the three possible
genotypes give rise to three phenotypes. A population consisting of
individuals in the MN group is in equilibrium if P(M)=p1=Θ^2
P(MN)=p2=2Θ(1-Θ) P(N)=p3=(1-Θ)^2 for some Θ. Suppose a sample from such
population yields the results shown as
Type M MN N
Observed 125 225 150 N=500
(a)Find the MLE for Θ
(b)Do the data provide the sufficient evidence that the population is in
equilibrium status? α=0.05
其實主要是mle不知道怎麼求...是p1*125次再乘上p2*225次再乘上p3*150次嗎...
b小題是用a小題算出的mle，然後求出期望次數再以卡方適合度檢定做答嗎？
如果是的話，自由度是1? 因為3-1=2 又因為a小題估計了一個參數再扣一嗎？
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