GE_nleqslv #' Uses package nleqslv to get a numerical solution to the score equations, which we can use to check our direct solution from GE_bias().

Description

GE_nleqslv #' Uses package nleqslv to get a numerical solution to the score equations, which we can use to check our direct solution from GE_bias().

Usage

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GE_nleqslv(beta_list, cov_list, cov_mat_list, mu_list, HOM_list)

Arguments

beta_list

A list of the effect sizes in the true model. Use the order beta_0, beta_G, beta_E, beta_I, beta_Z, beta_M. If Z or M is a vector, then beta_Z and beta_M should be vectors. If Z and/or M/W do not exist in your model, then set beta_Z and/or beta_M = 0.

cov_list

A list of expectations (which happen to be covariances if all covariates are centered at 0) in the order specified by GE_enumerate_inputs(). If Z and/or M/W do not exist in your model, then treat them as constants 0. For example, set cov(EZ) = 0 and cov(ZW) = 0.

cov_mat_list

A list of matrices of expectations as specified by GE_enumerate_inputs().

mu_list

A list of means as specified by GE_enumerate_inputs().

HOM_list

A list of higher order moments as specified by GE_enumerate_inputs().

Value

A list of the fitted coefficients alpha

Examples

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solutions <- GE_bias_normal_squaredmis( beta_list=as.list(runif(n=6, min=0, max=1)), 
						rho_list=as.list(rep(0.3,6)), prob_G=0.3)
GE_nleqslv(beta_list=solutions$beta_list, solutions$cov_list, solutions$cov_mat_list, 
					solutions$mu_list, solutions$HOM_list)

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