Package 'mBvs'

Bayesian Variable Selection Methods for Multivariate Data

Description

Bayesian variable selection methods for data with multivariate responses and multiple covariates. The package contains implementations of multivariate Bayesian variable selection methods for continuous data and zero-inflated count data.

Details

The package includes the following function:

mvnBvs	Bayesian variable selection for data with multivariate continuous responses
mzipBvs	Bayesian variable selection for conditional multivariate zero-inflated Poisson models
mmzipBvs	Bayesian variable selection for marginalized multivariate zero-inflated Poisson models

Package:	mBvs
Type:	Package
Version:	1.92
Date:	2024-4-13
License:	GPL (>= 2)
LazyLoad:	yes

Author(s)

Kyu Ha Lee, Mahlet G. Tadesse, Brent A. Coull, Jacqueline R. Starr
Maintainer: Kyu Ha Lee <[email protected]>

References

Lee, K. H., Tadesse, M. G., Baccarelli, A. A., Schwartz J., and Coull, B. A. (2017), Multivariate Bayesian variable selection exploiting dependence structure among outcomes: application to air pollution effects on DNA methylation, Biometrics, Volume 73, Issue 1, pages 232-241.

Lee, K. H., Coull, B. A., Moscicki, A.-B., Paster, B. J., Starr, J. R. (2020), Bayesian variable selection for multivariate zero-inflated models: application to microbiome count data, Biostatistics, Volume 21, Issue 3, Pages 499-517

---

The function that initiates starting values

Description

The function initiates starting values. Users are allowed to set some non-null values to starting values for a set of parameters. The function will automatically generate starting values for any parameters whose values are not specified.

Usage

initiate_startValues(Formula, Y, data, model = "MMZIP", B = NULL, beta0 = NULL, 
V = NULL, SigmaV = NULL, gamma_beta = NULL, A = NULL, alpha0 = NULL, W = NULL, 
m = NULL, gamma_alpha = NULL, sigSq_beta = NULL, sigSq_beta0 = NULL, 
sigSq_alpha = NULL, sigSq_alpha0 = NULL)

Arguments

Formula	a list containing three formula objects: the first formula specifies the $p_z$ covariates for which variable selection is to be performed in the binary component of the model; the second formula specifies the $p_x$ covariates for which variable selection is to be performed in the count part of the model; the third formula specifies the $p_0$ confounders to be adjusted for (but on which variable selection is not to be performed) in the regression analysis.
Y	a data.frame containing $q$ count outcomes from n subjects. It is of dimension $n\times q$.
data	a data.frame containing the variables named in the formulas in lin.pred.
model	MMZIP
B	starting values of $B$
beta0	starting values of $\beta_0$
V	starting values of $B$
SigmaV	starting values of $\Sigma_V$
gamma_beta	starting values of $\gamma_{\beta}$
A	starting values of $A$
alpha0	starting values of $\alpha_0$
W	starting values of $W$
m	starting values of $m$
gamma_alpha	starting values of $\gamma_{\alpha}$
sigSq_beta	starting values of $\sigma_{\beta}^2$
sigSq_beta0	starting values of $\sigma_{\beta_0}^2$
sigSq_alpha	starting values of $\sigma_{\alpha}^2$
sigSq_alpha0	starting values of $\sigma_{\alpha_0}^2$

Value

initiate_startValues returns a list containing starting values that can be used for mmzipBvs.

Author(s)

Maintainer: Kyu Ha Lee <[email protected]>

References

update..

See Also

mmzipBvs

Examples

## See Examples in \code{\link{mmzipBvs}}.

---

Methods for objects of class, mvnBvs, mzipBvs, and mmzipBvs.

Description

The mvnBvs class represents results from Bayesian variable selection using multivariate normal regression models. The mzipBvs and mmzipBvs classes represent results from conditional and marginalized multivariate zero-inflated regression models, respectively.

Usage

## S3 method for class 'mvnBvs'
print(x, digits=3, ...)
## S3 method for class 'mzipBvs'
print(x, digits=3, ...)
## S3 method for class 'mmzipBvs'
print(x, digits=3, ...)
## S3 method for class 'summ.mvnBvs'
print(x, digits=3, ...)
## S3 method for class 'summ.mzipBvs'
print(x, digits=3, ...)
## S3 method for class 'summ.mmzipBvs'
print(x, digits=3, ...)
## S3 method for class 'mvnBvs'
summary(object, digits=3, ...)
## S3 method for class 'mzipBvs'
summary(object, digits=3, ...)
## S3 method for class 'mmzipBvs'
summary(object, digits=3, ...)

Arguments

x	an object of class mvnBvs, summ.mvnBvs, mzipBvs, summ.mzipBvs, mmzipBvs, summ.mmzipBvs.
digits	a numeric value indicating the number of digits to display.
object	an object of class mvnBvs, mzipBvs, or mmzipBvs.
...	additional arguments.

See Also

mvnBvs, mzipBvs, mmzipBvs

---

The function to perform variable selection for marginalized multivariate zero-inflated Poisson models

Description

The function can be used to perform variable selection for marginalized multivariate zero-inflated Poisson models.

Usage

mmzipBvs(Y, lin.pred, data, offset = NULL, zero_cutoff = 0.05, hyperParams,
 startValues, mcmcParams)

Arguments

Y	a data.frame containing $q$ count outcomes from n subjects. It is of dimension $n\times q$.
lin.pred	a list containing three formula objects: the first formula specifies the $p_z$ covariates for which variable selection is to be performed in the binary component of the model; the second formula specifies the $p_x$ covariates for which variable selection is to be performed in the count part of the model; the third formula specifies the $p_0$ confounders to be adjusted for (but on which variable selection is not to be performed) in the regression analysis.
data	a data.frame containing the variables named in the formulas in lin.pred.
offset	an optional numeric vector with an a priori known component to be included as the linear predictor in the count part of model.
zero_cutoff	Response variable with proportions of zeros less than zero.cutoff will be removed from the binary model.
hyperParams	(update this) a list containing lists or vectors for hyperparameter values in hierarchical models. Components include, rho0 (degrees of freedom for inverse-Wishart prior for $\Sigma_V$), Psi0 (a scale matrix for inverse-Wishart prior for $\Sigma_V$), mu_alpha0 (hyperparameter $\mu_{\alpha_0}$ in the prior of $\alpha_0$), mu_alpha (a numeric vector of length $q$ for hyperparameter $\mu_{\alpha}$ in the prior of $\alpha$), mu_beta0 (hyperparameter $\mu_{\beta_0}$ in the prior of $\beta_0$), mu_beta (a numeric vector of length $q$ for hyperparameter $\mu_{\beta}$ in the prior of $\beta$), a_alpha0 (hyperparameter $a_{\alpha_0}$ in the prior of $\sigma^2_{\alpha_0}$), b_alpha0 (hyperparameter $b_{\alpha_0}$ in the prior of $\sigma^2_{\alpha_0}$), a_alpha (hyperparameter $a_{\alpha}$ in the prior of $\sigma^2_{\alpha}$), b_alpha (hyperparameter $b_{\alpha}$ in the prior of $\sigma^2_{\alpha}$), a_beta0 (hyperparameter $a_{\beta_0}$ in the prior of $\sigma^2_{\beta_0}$), b_beta0 (hyperparameter $b_{\beta_0}$ in the prior of $\sigma^2_{\beta_0}$), a_beta (hyperparameter $a_{\beta}$ in the prior of $\sigma^2_{\beta}$), b_beta (hyperparameter $b_{\beta}$ in the prior of $\sigma^2_{\beta}$), v_beta (a numeric vector of length $q$ for the standard deviation hyperparameter $v_{\beta}$ of the regression parameter $\beta$ prior), omega_beta (a numeric vector of length $p_x-p_0$ for the hyperparameter $\omega_{\beta}$ in the prior of the variable selection indicator), v_alpha (a numeric vector of length $q$ for the standard deviation hyperparameter $v_{\alpha}$ of the regression parameter $\alpha$ prior), omega_alpha (a numeric vector of length $p_z-p_0$ for the hyperparameter $\omega_{\alpha}$ in the prior of the variable selection indicator), See Examples below.
startValues	a numeric vector containing starting values for model parameters. See Examples below.
mcmcParams	(update this) a list containing variables required for MCMC sampling. Components include, run (a list containing numeric values for setting the overall run: numReps, total number of scans; thin, extent of thinning; burninPerc, the proportion of burn-in). tuning (a list containing numeric values relevant to tuning parameters for specific updates in Metropolis-Hastings algorithm: beta0.prop.var, variance of the proposal density for $\beta_0$;beta.prop.var, variance of the proposal density for $B$;alpha.prop.var, variance of the proposal density for $A$;V.prop.var, variance of the proposal density for $V$.) See Examples below.

Value

mmzipBvs returns an object of class mmzipBvs.

Author(s)

Kyu Ha Lee, Brent A. Coull, Jacqueline R. Starr
Maintainer: Kyu Ha Lee <[email protected]>

References

update this

Examples

## Not run: 

# loading a data set
data(simData_mzip)
Y <- simData_mzip$Y
data <- simData_mzip$X

n = dim(Y)[1]
q = dim(Y)[2]

form.bin     <- as.formula(~cov.1)
form.count    <- as.formula(~cov.1)
form.adj    <- as.formula(~1)
form <- list(form.bin, form.count, form.adj)

p_adj = dim(model.frame(form[[3]], data=data))[2]
p0 <- dim(model.frame(form[[1]], data=data))[2] + p_adj
p1 <- dim(model.frame(form[[2]], data=data))[2] + p_adj

#####################
## Hyperparameters ##

Sigma_me <- 0.5
Sigma_var <- 1
rho0 <- 2*Sigma_me^2/Sigma_var+q+3
psi0 <- Sigma_me*(rho0-q-1)

hyperParams_mmzip <- list(v_beta=rep(3, q), omega_beta=rep(0.5, p1-p_adj), 
a_beta=rep(0.5, p1), b_beta=rep(0.5, p1), mu_beta0=rep(0, q), a_beta0=0.5, b_beta0=0.5, 
v_alpha=rep(3, q), omega_alpha=rep(0.5, p0-p_adj), 
a_alpha=rep(0.5, p0), b_alpha=rep(0.5, p0), mu_alpha0=rep(0, q), a_alpha0=0.5, b_alpha0=0.5, 
rho0=rho0, Psi0=diag(psi0, q), mu_m=rep(0, q), v_m=0.5)


###################
## MCMC SETTINGS ##

run <- list(numReps=100, thin=1, burninPerc=0.5)
storage <- list(storeV=FALSE, storeW=FALSE)
vs <- list(count=TRUE, binary=TRUE)
tuning <- list(L_group=100, L_m=20, eps_group=0.00001, eps_m=0.00001, 
Mvar_group=1, Mvar_m=1, beta_prop_var=0.0001, alpha_prop_var=0.0001)

mcmc_mmzip <- list(run=run, storage=storage, vs=vs, tuning=tuning)


#####################
## Starting Values

startValues_mmzip <- initiate_startValues(form, Y, data, "MMZIP")

#####################
## Other settings

offset <- data$total
zero_cutoff=0.05

#######################
## Fitting the MMZIP ##
#######################

fit.mmzip <- mmzipBvs(Y, form, data, offset, zero_cutoff, hyperParams_mmzip, 
startValues_mmzip, mcmc_mmzip)

print(fit.mmzip)
summ.fit.mmzip <- summary(fit.mmzip); names(fit.mmzip)
summ.fit.mmzip


## End(Not run)

---

The function to perform variable selection for multivariate normal responses

Description

The function can be used to perform variable selection for multivariate normal responses incorporating not only information on the mean model, but also information on the variance-covariance structure of the outcomes. A multivariate prior is specified on the latent binary selection indicators to incorporate the dependence between outcomes into the variable selection procedure.

Usage

mvnBvs(Y, lin.pred, data, model = "unstructured", hyperParams, startValues, mcmcParams)

Arguments

Y	a data.frame containing $q$ continuous multivariate outcomes from n subjects. It is of dimension $n\times q$.
lin.pred	a list containing two formula objects: the first formula specifies the $p$ covariates for which variable selection is to be performed; the second formula specifies the confounders to be adjusted for (but on which variable selection is not to be performed) in the regression analysis.
data	a data.frame containing the variables named in the formulas in lin.pred.
model	a character that specifies the covariance structure of the model: either "unstructured" or "factor-analytic".
hyperParams	a list containing lists or vectors for hyperparameter values in hierarchical models. Components include, eta (a numeric value for the hyperparameter $\eta$ that regulates the extent to which the correlation between response variables influences the prior of the variable selection indicator), v (a numeric vector of length $q$ for the standard deviation hyperparameter $v$ of the regression parameter $\beta$ prior), omega (a numeric vector of length $p$ for the hyperparameter $\omega$ in the prior of the variable selection indicator), beta0 (a numeric vector of length $q+1$ for hyperparameter $\mu_0$ and $h_0$ in the prior of the intercept $\beta_0$), US (a list containing numeric vectors for hyperparameters in the unstructured model: US.Sigma), FA (a list containing numeric vectors for hyperparameters in the factor-analytic model: lambda and sigmaSq). See Examples below.
startValues	a numeric vector containing starting values for model parameters: c(beta0, B, gamma, Sigma) for the unstructured model; c(beta0, B, gamma, sigmaSq, lambda) for the factor-analytic model. See Examples below.
mcmcParams	a list containing variables required for MCMC sampling. Components include, run (a list containing numeric values for setting the overall run: numReps, total number of scans; thin, extent of thinning; burninPerc, the proportion of burn-in). tuning (a list containing numeric values relevant to tuning parameters for specific updates in Metropolis-Hastings algorithm: mhProp_beta_var, variance of the proposal density for $B$; mhrho_prop, degrees of freedom of the inverse-Wishart proposal density for $\Sigma$ in the unstructured model; mhPsi_prop, scale matrix of inverse-Wishart proposal density for $\Sigma$ in the unstructured model; mhProp_lambda_var, variance of the proposal density for $\lambda$ in the factor-analytic model.) See Examples below.

Value

mvnBvs returns an object of class mvnBvs.

Author(s)

Kyu Ha Lee, Mahlet G. Tadesse, Brent A. Coull
Maintainer: Kyu Ha Lee <[email protected]>

References

Lee, K. H., Tadesse, M. G., Baccarelli, A. A., Schwartz J., and Coull, B. A. (2017), Multivariate Bayesian variable selection exploiting dependence structure among outcomes: application to air pollution effects on DNA methylation, Biometrics, Volume 73, Issue 1, pages 232-241.

Examples

# loading a data set	
data(simData_cont)
Y <- simData_cont$Y
data <- simData_cont$X
form1 <- as.formula( ~ cov.1+cov.2)
form2 <- as.formula( ~ 1)
lin.pred <- list(form1, form2)

p 		<- dim(data)[2]
p_adj 	<- 0
q 		<- dim(Y)[2]

#####################
## Hyperparameters ##

## Common hyperparameters
##
eta = 0.1
v = rep(10, q)
omega = rep(log(0.5/(1-0.5)), p-p_adj)
common.beta0 <- c(rep(0, q), 10^6)

## Unstructured model
##
rho0 	<- q + 4
Psi0	<- diag(3, q)
US.Sigma <- c(rho0, Psi0)

## Factor-analytic model
##
FA.lam		<- c(rep(0, q), 10^6)
FA.sigSq	<- c(2, 1)

##
hyperParams <- list(eta=eta, v=v, omega=omega, beta0=common.beta0,
					US=list(US.Sigma=US.Sigma),
					FA=list(lambda=FA.lam, sigmaSq=FA.sigSq))
                    
###################
## MCMC SETTINGS ##

## Setting for the overall run
##
numReps    <- 50
thin       <- 1
burninPerc <- 0.5

## Tuning parameters for specific updates
##
##  - those common to all models
mhProp_beta_var  <- matrix(0.5, p+p_adj, q)
##
## - those specific to the unstructured model
mhrho_prop <- 1000
mhPsi_prop <- diag(1, q)
##
## - those specific to the factor-analytic model
mhProp_lambda_var  <- 0.5
      
##
mcmc.US <- list(run=list(numReps=numReps, thin=thin, burninPerc=burninPerc),
                tuning=list(mhProp_beta_var=mhProp_beta_var,
                				mhrho_prop=mhrho_prop, mhPsi_prop=mhPsi_prop))
                
##
mcmc.FA  <- list(run=list(numReps=numReps, thin=thin, burninPerc=burninPerc),
                tuning=list(mhProp_beta_var=mhProp_beta_var,
                			mhProp_lambda_var=mhProp_lambda_var))
                			
#####################
## Starting Values ##

##  - those common to all models
beta0		<- rep(0, q)
B			<- matrix(sample(x=c(0.3, 0), size=q, replace = TRUE), p+p_adj, q)
gamma		<- B
gamma[gamma != 0]	<- 1
##
## - those specific to the unstructured model
Sigma <- diag(1, q) 
##
## - those specific to the factor-analytic model
lambda		<- rep(0.5, q)
sigmaSq		<- 1

startValues    <- as.vector(c(beta0, B, gamma, Sigma))
                
####################################
## Fitting the unstructured model ##
####################################

fit.us <- mvnBvs(Y, lin.pred, data, model="unstructured", hyperParams, 
				startValues, mcmcParams=mcmc.US)
				
fit.us
summ.fit.us <- summary(fit.us); names(summ.fit.us)
summ.fit.us				

#######################################
## Fitting the factor-analytic model ##
#######################################
 
startValues <- as.vector(c(beta0, B, gamma, sigmaSq, lambda))

fit.fa <- mvnBvs(Y, lin.pred, data, model="factor-analytic", hyperParams, 
				startValues, mcmcParams=mcmc.FA)
				
fit.fa
summ.fit.fa <- summary(fit.fa); names(summ.fit.fa)
summ.fit.fa

---

The function to perform variable selection for conditional multivariate zero-inflated Poisson models

Description

The function can be used to perform variable selection for conditional multivariate zero-inflated Poisson models.

Usage

mzipBvs(Y, lin.pred, data, model = "generalized", offset = NULL, hyperParams, startValues,
 mcmcParams)

Arguments

Y	a data.frame containing $q$ count outcomes from n subjects. It is of dimension $n\times q$.
lin.pred	a list containing three formula objects: the first formula specifies the $p_z$ covariates for which variable selection is to be performed in the binary component of the model; the second formula specifies the $p_x$ covariates for which variable selection is to be performed in the count part of the model; the third formula specifies the $p_0$ confounders to be adjusted for (but on which variable selection is not to be performed) in the regression analysis.
data	a data.frame containing the variables named in the formulas in lin.pred.
model	a character that specifies the type of model: A generalized multivariate Bayesian variable selection method of Lee et al.(2018) can be implemented by setting model="generalized". A simpler model that assumes one common variable selection indicator ($\gamma_{j,k}=\delta_{j,k}$) and the same covariance pattern ($R=R_V$) for two model parts can be used by setting model="restricted1". iii) Another simpler model that assumes the same covariance pattern ($R=R_V$) but separate variable selection indicators for the binary and count parts of the model can be implemented by setting model="restricted2".
offset	an optional numeric vector with an a priori known component to be included as the linear predictor in the count part of model.
hyperParams	a list containing lists or vectors for hyperparameter values in hierarchical models. Components include, rho0 (degrees of freedom for inverse-Wishart prior for $\Sigma_V$), Psi0 (a scale matrix for inverse-Wishart prior for $\Sigma_V$), mu_alpha0 (hyperparameter $\mu_{\alpha_0}$ in the prior of $\alpha_0$), mu_alpha (a numeric vector of length $q$ for hyperparameter $\mu_{\alpha}$ in the prior of $\alpha$), mu_beta0 (hyperparameter $\mu_{\beta_0}$ in the prior of $\beta_0$), mu_beta (a numeric vector of length $q$ for hyperparameter $\mu_{\beta}$ in the prior of $\beta$), a_alpha0 (hyperparameter $a_{\alpha_0}$ in the prior of $\sigma^2_{\alpha_0}$), b_alpha0 (hyperparameter $b_{\alpha_0}$ in the prior of $\sigma^2_{\alpha_0}$), a_alpha (hyperparameter $a_{\alpha}$ in the prior of $\sigma^2_{\alpha}$), b_alpha (hyperparameter $b_{\alpha}$ in the prior of $\sigma^2_{\alpha}$), a_beta0 (hyperparameter $a_{\beta_0}$ in the prior of $\sigma^2_{\beta_0}$), b_beta0 (hyperparameter $b_{\beta_0}$ in the prior of $\sigma^2_{\beta_0}$), a_beta (hyperparameter $a_{\beta}$ in the prior of $\sigma^2_{\beta}$), b_beta (hyperparameter $b_{\beta}$ in the prior of $\sigma^2_{\beta}$), v_beta (a numeric vector of length $q$ for the standard deviation hyperparameter $v_{\beta}$ of the regression parameter $\beta$ prior), omega_beta (a numeric vector of length $p_x-p_0$ for the hyperparameter $\omega_{\beta}$ in the prior of the variable selection indicator), v_alpha (a numeric vector of length $q$ for the standard deviation hyperparameter $v_{\alpha}$ of the regression parameter $\alpha$ prior), omega_alpha (a numeric vector of length $p_z-p_0$ for the hyperparameter $\omega_{\alpha}$ in the prior of the variable selection indicator), See Examples below.
startValues	a numeric vector containing starting values for model parameters. See Examples below.
mcmcParams	a list containing variables required for MCMC sampling. Components include, run (a list containing numeric values for setting the overall run: numReps, total number of scans; thin, extent of thinning; burninPerc, the proportion of burn-in). tuning (a list containing numeric values relevant to tuning parameters for specific updates in Metropolis-Hastings algorithm: beta0.prop.var, variance of the proposal density for $\beta_0$;beta.prop.var, variance of the proposal density for $B$;alpha.prop.var, variance of the proposal density for $A$;V.prop.var, variance of the proposal density for $V$.) See Examples below.

Value

mzipBvs returns an object of class mzipBvs.

Author(s)

Kyu Ha Lee, Brent A. Coull, Jacqueline R. Starr
Maintainer: Kyu Ha Lee <[email protected]>

References

Lee, K. H., Coull, B. A., Moscicki, A.-B., Paster, B. J., Starr, J. R. (2020), Bayesian variable selection for multivariate zero-inflated models: application to microbiome count data, Biostatistics, Volume 21, Issue 3, Pages 499-517.

Examples

## Not run: 
# loading a data set
data(simData_mzip)
Y <- simData_mzip$Y
data <- simData_mzip$X

n = dim(Y)[1]
q = dim(Y)[2]

form.bin     <- as.formula(~cov.1)
form.count    <- as.formula(~cov.1)
form.adj    <- as.formula(~1)
lin.pred <- list(form.bin, form.count, form.adj)

Xmat0 <- model.frame(lin.pred[[1]], data=data)
Xmat1 <- model.frame(lin.pred[[2]], data=data)
Xmat_adj <- model.frame(lin.pred[[3]], data=data)

p_adj = ncol(Xmat_adj)
p0 <- ncol(Xmat0) + p_adj
p1 <- ncol(Xmat1) + p_adj

nonz <- rep(NA, q)
for(j in 1:q) nonz[j] <- sum(Y[,j] != 0)

#####################
## Hyperparameters ##

## Generalized model
##
rho0     <- q + 3 + 1
Psi0    <- diag(3, q)

mu_alpha0     <- 0
mu_alpha    <- rep(0, q)

mu_beta0    <- 0
mu_beta        <- rep(0, q)

a_alpha0    <- 0.7
b_alpha0     <- 0.7

a_alpha        <- rep(0.7, p0)
b_alpha     <- rep(0.7, p0)

a_beta0        <- 0.7
b_beta0     <- 0.7

a_beta        <- rep(0.7, p1)
b_beta         <- rep(0.7, p1)

v_beta = rep(1, q)
omega_beta = rep(0.1, p1-p_adj)
v_alpha = rep(1, q)
omega_alpha = rep(0.1, p0-p_adj)

##
hyperParams.gen <- list(rho0=rho0, Psi0=Psi0, mu_alpha0=mu_alpha0, mu_alpha=mu_alpha,
mu_beta0=mu_beta0, mu_beta=mu_beta, a_alpha0=a_alpha0, b_alpha0=b_alpha0,
a_alpha=a_alpha, b_alpha=b_alpha, a_beta0=a_beta0, b_beta0=b_beta0,
a_beta=a_beta, b_beta=b_beta, v_beta=v_beta, omega_beta=omega_beta,
v_alpha=v_alpha, omega_alpha=omega_alpha)

###################
## MCMC SETTINGS ##

## Setting for the overall run
##
numReps    <- 100
thin       <- 1
burninPerc <- 0.5

## Settings for storage
##
storeV      <-    TRUE
storeW      <-    TRUE

## Tuning parameters for specific updates
##
##  - Generalized model
beta0.prop.var    <- 0.5
alpha.prop.var    <- 0.5
beta.prop.var    <- 0.5
V.prop.var    <- 0.05

##
mcmc.gen <- list(run=list(numReps=numReps, thin=thin, burninPerc=burninPerc),
storage=list(storeV=storeV, storeW=storeW),
tuning=list(beta0.prop.var=beta0.prop.var, alpha.prop.var=alpha.prop.var,
beta.prop.var=beta.prop.var, V.prop.var=V.prop.var))

#####################
## Starting Values ##

## Generalized model
##
B <- matrix(0.1, p1, q, byrow = T)
A <- matrix(0.1, p0, q, byrow = T)

V <- matrix(rnorm(n*q, 0, 0.1), n, q)
W <- matrix(rnorm(n*q, 0, 0.1), n, q)

beta0 <- log(as.vector(apply(Y, 2, mean)))
alpha0 <- log(nonz/n / ((n-nonz)/n))

Sigma_V    <- matrix(0, q, q)
diag(Sigma_V) <- 1

R        <- matrix(0, q, q)
diag(R) <- 1

sigSq_alpha0 <- 1
sigSq_alpha <- rep(1, p0)
sigSq_beta0 <- 1
sigSq_beta <- rep(1, p1)

startValues.gen <- list(B=B, A=A, V=V, W=W, beta0=beta0, alpha0=alpha0, R=R,
sigSq_alpha0=sigSq_alpha0,
sigSq_alpha=sigSq_alpha, sigSq_beta0=sigSq_beta0, sigSq_beta=sigSq_beta, Sigma_V=Sigma_V)


###################################
## Fitting the generalized model ##
###################################
fit.gen <- mzipBvs(Y, lin.pred, data, model="generalized", offset=NULL, hyperParams.gen,
startValues.gen, mcmc.gen)

print(fit.gen)
summ.fit.gen <- summary(fit.gen); names(summ.fit.gen)
summ.fit.gen


## End(Not run)

---

A simulated data set containing multivariate normal responses and continuous covariates

Description

A simulated data set containing multivariate normal responses and continuous covariates

Usage

data("simData_cont")

Format

a list of two data frame objects. Components include,

Y

a data frame for 10 multivariate normal responses from 100 observations: Y.1-Y.10

X

a data frame for 2 continuous covariates from 100 observations: cov.1-cov.2

Examples

data(simData_cont)

---

A simulated data set containing multivariate zero-inflated count responses and a continuous covariate

Description

A simulated data set containing multivariate zero-inflated count responses and a continuous covariate

Usage

data("simData_mzip")

Format

a list of two data frame objects. Components include,

Y

a data frame for 10 multivariate count responses from 300 observations: Y.1-Y.10

X

a data frame for a single continuous covariate from 300 observations: cov.1

Examples

data(simData_mzip)

---