Hi,

Is there any R library/package that calculates tetrachoric correlations from 
given marginals and Pearson correlations among ordinal variables? 

Inputs to polychor function in polycor package are either contingency tables or 
ordinal data themselves. I am looking for something that takes marginal 
distributions and Pearson correlation as inputs.

For example, Y1=(1,2,3) with P(Y1=1)=0.3, P(Y1=2)=0.5, P(Y1=3)=0.2 and
Y2=(1,2) with P(Y2=1)=0.6, P(Y2=2)=0.4, and corr(Y1,Y2)=0.5 (Pearson 
correlation among ordinal variables)

How do I calculate the tetrachoric correlation here?

Thanks,
Hakan Demirtas 
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