# corr.nn4pbo

From PoisBinOrdNor v1.1
by Yiran Hu

##### Finds the underlying bivariate normal correlation given the correlation for a count-binary or count-ordinal pair.

This function computes the underlying bivariate normal correlation given the correlation for a pair of count and binary variables or a pair of count and ordinal variables.

##### Usage

`corr.nn4pbo(lam, p, PO.cor)`

##### Arguments

- lam
- Rate parameter for the count variable.
- p
- A vector of probabilities for an ordinal variable. The i-th element of the pvec is the cumulative probability defining the marginal distribution of the ordinal variable. If the variable has k categories, the i-th element of p will contain k-1
- PO.cor
- Pre-specified correlation for a pair of count and binary, or count and ordinal, variables.

##### Value

- A tetrachoric correlation coefficient.

##### References

Amatya, A. & Demirtas, H. (2015). Simultaneous generation of multivariate mixed data with Poisson and normal marginals. Journal of Statistical Computation and Simulation, Volume 85, Issue 15, 3129-3139. Yahav, I. & Shmueli, G. (2012). On generating multivariate Poisson data in management science applications. Applied Stochastic Models in Business and Industry, Volume 28(1), 91-102.

##### Examples

`corr.nn4pbo(c(0.05, 0.07), c(0.2, 0.5), 0.235)`

*Documentation reproduced from package PoisBinOrdNor, version 1.1, License: GPL (>= 2)*

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