rho_M1Y {SimCorrMix} | R Documentation |
Approximate Correlation between Continuous Mixture Variable M1 and Random Variable Y
Description
This function approximates the expected correlation between a continuous mixture variables and another random
variable
based on the mixing proportions, component means, and component standard deviations of
and correlations
between components of
and
. The equations can be found in the Expected Cumulants and Correlations for
Continuous Mixture Variables vignette. This function can be used to see what combination of correlations between components
of
and
gives a desired correlation between
and
.
Usage
rho_M1Y(mix_pis = NULL, mix_mus = NULL, mix_sigmas = NULL, p_M1Y = NULL)
Arguments
mix_pis |
a vector of mixing probabilities that sum to 1 for component distributions of |
mix_mus |
a vector of means for component distributions of |
mix_sigmas |
a vector of standard deviations for component distributions of |
p_M1Y |
a vector of correlations between the components of |
Value
the expected correlation between M1 and Y
References
Please see references for rho_M1M2
.
See Also
Examples
# M1 is mixture of N(-2, 1) and N(2, 1); pairwise correlation set to 0.35
rho_M1Y(mix_pis = c(0.4, 0.6), mix_mus = c(-2, 2), mix_sigmas = c(1, 1),
p_M1Y = c(0.35, 0.35))