From a20ddaa98d6fda8af098d136eafccf95c6d17029 Mon Sep 17 00:00:00 2001 From: Kosuke Imai Date: Thu, 9 Apr 2015 08:27:29 -0400 Subject: [PATCH] MNP version 2.6-4 added --- DESCRIPTION | 35 +++ MD5 | 30 ++ MNP.pdf | Bin 0 -> 3497571 bytes NAMESPACE | 10 + R/coef.mnp.R | 12 + R/cov.mnp.R | 30 ++ R/mnp.R | 187 +++++++++++++ R/onAttach.R | 7 + R/predict.mnp.R | 84 ++++++ R/print.mnp.R | 13 + R/print.summary.mnp.R | 20 ++ R/summary.mnp.R | 23 ++ R/xmatrix.mnp.R | 81 ++++++ R/ymatrix.mnp.R | 38 +++ data/detergent.txt.gz | Bin 0 -> 29683 bytes data/japan.txt.gz | Bin 0 -> 2372 bytes man/coef.mnp.Rd | 45 +++ man/cov.mnp.Rd | 42 +++ man/detergent.Rd | 32 +++ man/japan.Rd | 29 ++ man/mnp.Rd | 241 ++++++++++++++++ man/predict.mnp.Rd | 115 ++++++++ man/summary.mnp.Rd | 53 ++++ src/MNP.c | 619 ++++++++++++++++++++++++++++++++++++++++++ src/Makevars | 2 + src/rand.c | 201 ++++++++++++++ src/rand.h | 6 + src/subroutines.c | 115 ++++++++ src/subroutines.h | 5 + src/vector.c | 130 +++++++++ src/vector.h | 21 ++ 31 files changed, 2226 insertions(+) create mode 100644 DESCRIPTION create mode 100644 MD5 create mode 100644 MNP.pdf create mode 100644 NAMESPACE create mode 100644 R/coef.mnp.R create mode 100644 R/cov.mnp.R create mode 100644 R/mnp.R create mode 100644 R/onAttach.R create mode 100644 R/predict.mnp.R create mode 100644 R/print.mnp.R create mode 100644 R/print.summary.mnp.R create mode 100644 R/summary.mnp.R create mode 100644 R/xmatrix.mnp.R create mode 100644 R/ymatrix.mnp.R create mode 100644 data/detergent.txt.gz create mode 100644 data/japan.txt.gz create mode 100644 man/coef.mnp.Rd create mode 100644 man/cov.mnp.Rd create mode 100644 man/detergent.Rd create mode 100644 man/japan.Rd create mode 100644 man/mnp.Rd create mode 100644 man/predict.mnp.Rd create mode 100644 man/summary.mnp.Rd create mode 100644 src/MNP.c create mode 100644 src/Makevars create mode 100644 src/rand.c create mode 100644 src/rand.h create mode 100644 src/subroutines.c create mode 100644 src/subroutines.h create mode 100644 src/vector.c create mode 100644 src/vector.h diff --git a/DESCRIPTION b/DESCRIPTION new file mode 100644 index 0000000..4fc7f12 --- /dev/null +++ b/DESCRIPTION @@ -0,0 +1,35 @@ +Package: MNP +Version: 2.6-4 +Date: 2013-06-09 +Title: R Package for Fitting the Multinomial Probit Model +Author: Kosuke Imai , David A. van Dyk + . +Maintainer: Kosuke Imai +Depends: R (>= 2.1), MASS, utils +Description: MNP is a publicly available R package that fits the + Bayesian multinomial probit model via Markov chain Monte Carlo. + The multinomial probit model is often used to analyze the + discrete choices made by individuals recorded in survey data. + Examples where the multinomial probit model may be useful + include the analysis of product choice by consumers in market + research and the analysis of candidate or party choice by + voters in electoral studies. The MNP software can also fit the + model with different choice sets for each individual, and + complete or partial individual choice orderings of the + available alternatives from the choice set. The estimation is + based on the efficient marginal data augmentation algorithm + that is developed by Imai and van Dyk (2005). ``A Bayesian + Analysis of the Multinomial Probit Model Using the Data + Augmentation,'' Journal of Econometrics, Vol. 124, No. 2 + (February), pp. 311-334. Detailed examples are given in Imai + and van Dyk (2005). ``MNP: R Package for Fitting the + Multinomial Probit Model.'' Journal of Statistical Software, + Vol. 14, No. 3 (May), pp. 1-32. +LazyLoad: yes +LazyData: yes +License: GPL (>= 2) +URL: http://imai.princeton.edu/software/MNP.html +Packaged: 2013-06-09 17:45:34 UTC; kimai +NeedsCompilation: yes +Repository: CRAN +Date/Publication: 2013-06-09 20:16:42 diff --git a/MD5 b/MD5 new file mode 100644 index 0000000..c97bfc4 --- /dev/null +++ b/MD5 @@ -0,0 +1,30 @@ +7c923c417c32a5d1a9b62db575670762 *DESCRIPTION +e5dbaa21eb5db71bef6d103cc66a5896 *MNP.pdf +d30ea84d5abbc3f5323c8f384954ee69 *NAMESPACE +97a7c7aa155788b4a62bdd3e3c02fab0 *R/coef.mnp.R +127b786d97aa185eac38721c23aa2f90 *R/cov.mnp.R +3f7ce384c42415e3e5fe81e7c74143aa *R/mnp.R +5e40e20eb515081275508f808be52c3e *R/onAttach.R +88edaa6559267b5e85bc8bba9b291b97 *R/predict.mnp.R +e822d2e847f5daf2922a019fa2a4c491 *R/print.mnp.R +a6f93ff28505296a3b6ed5c67a0286ab *R/print.summary.mnp.R +a954cf57cf2e252b7837ac4739d87eab *R/summary.mnp.R +cfdc76deb4c1e71bdb9422bf9f2cecd9 *R/xmatrix.mnp.R +f594a4e2db80f456c9dee49d5f9efa6c *R/ymatrix.mnp.R +c342e6c52a792ec58aac9efa0be703ae *data/detergent.txt.gz +bb1181c0a078518436a2a7c9ee5594a9 *data/japan.txt.gz +fd1fa970759414da81360ddd7a5fdec2 *man/coef.mnp.Rd +4f44ccc2c56a236ec59793da04327863 *man/cov.mnp.Rd +bb8f62b3e695266f35656484ff16c42d *man/detergent.Rd +cc55ae92569bbafe1ac86019ee029382 *man/japan.Rd +a2a40e00f7159946b4d573a8759d7ccf *man/mnp.Rd +d349cc562db39915eafa1c6eaa8ecc21 *man/predict.mnp.Rd +70c12884b2bd1fcb93b659af297dbdae *man/summary.mnp.Rd +c0fbcfebfb2e1bdfe1a82ddcdfe22957 *src/MNP.c +f009e46fcf131d28ea4ead122961b7bd *src/Makevars +ca53d9c2191f31adfffde00b86d5ca59 *src/rand.c +e79ea40e8f33e593ba24b0fff4cdbba7 *src/rand.h +76dbc5c2f45a4f71cb3d279a7759ae67 *src/subroutines.c +d7c8fe15ffb32a769555c331cfb6021b *src/subroutines.h +b1260ae4ad8649146cb69704d32625e8 *src/vector.c +87ab6c76b848c81968161e883914b2ce *src/vector.h diff --git a/MNP.pdf b/MNP.pdf new file mode 100644 index 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+useDynLib(MNP) + +importFrom(MASS, mvrnorm) +export(mnp, coef.mnp, cov.mnp, predict.mnp, summary.mnp, print.summary.mnp) + +S3method(coef, mnp) +S3method(summary, mnp) +S3method(predict, mnp) +S3method(print, mnp) +S3method(print, summary.mnp) diff --git a/R/coef.mnp.R b/R/coef.mnp.R new file mode 100644 index 0000000..2266860 --- /dev/null +++ b/R/coef.mnp.R @@ -0,0 +1,12 @@ +coef.mnp <- function(object, subset = NULL, ...) { + param <- object$param + p <- object$n.alt + n.cov <- ncol(param) - p*(p-1)/2 + n <- nrow(param) + if (is.null(subset)) + return(param[,1:n.cov]) + else if (subset > n) + stop(paste("invalid input for `subset.' only", nrow(param), "draws are stored.")) + else + return(param[subset, 1:n.cov]) +} diff --git a/R/cov.mnp.R b/R/cov.mnp.R new file mode 100644 index 0000000..d789179 --- /dev/null +++ b/R/cov.mnp.R @@ -0,0 +1,30 @@ +cov.mnp <- function(object, subset = NULL, ...) { + if (is.null(subset)) + subset <- 1:nrow(object$param) + else if (max(subset) > nrow(object$param)) + stop(paste("invalid input for `subset.' only", nrow(param), "draws are stored.")) + + p <- object$n.alt + n <- length(subset) + Sigma <- array(0, c(p-1, p-1, n)) + param <- object$param + n.cov <- ncol(param) - p*(p-1)/2 + cov <- param[,(n.cov+1):ncol(param)] + for (i in 1:n) { + count <- 1 + for (j in 1:(p-1)) { + Sigma[j,j:(p-1),i] <- cov[subset[i],count:(count+p-j-1)] + count <- count + p - j + } + diag(Sigma[,,i]) <- diag(Sigma[,,i]/2) + Sigma[,,i] <- Sigma[,,i] + t(Sigma[,,i]) + } + tmp <- list() + tmp[[1]] <- tmp[[2]] <- object$alt[-pmatch(object$base, object$alt)] + tmp[[3]] <- as.character(subset) + dimnames(Sigma) <- tmp + if (n > 1) + return(Sigma) + else + return(Sigma[,,1]) +} diff --git a/R/mnp.R b/R/mnp.R new file mode 100644 index 0000000..c924c2f --- /dev/null +++ b/R/mnp.R @@ -0,0 +1,187 @@ +mnp <- function(formula, data = parent.frame(), choiceX = NULL, + cXnames = NULL, base = NULL, latent = FALSE, + invcdf = FALSE, trace = TRUE, n.draws = 5000, p.var = "Inf", + p.df = n.dim+1, p.scale = 1, coef.start = 0, + cov.start = 1, burnin = 0, thin = 0, verbose = FALSE) { + call <- match.call() + mf <- match.call(expand.dots = FALSE) + mf$choiceX <- mf$cXnames <- mf$base <- mf$n.draws <- mf$latent <- + mf$p.var <- mf$p.df <- mf$p.scale <- mf$coef.start <- mf$invcdf <- + mf$trace <- mf$cov.start <- mf$verbose <- mf$burnin <- mf$thin <- NULL + mf[[1]] <- as.name("model.frame") + mf$na.action <- 'na.pass' + mf <- eval.parent(mf) + + ## fix this parameter + p.alpha0 <- 1 + + ## obtaining Y + tmp <- ymatrix.mnp(mf, base=base, extra=TRUE, verbose=verbose) + Y <- tmp$Y + MoP <- tmp$MoP + lev <- tmp$lev + base <- tmp$base + p <- tmp$p + n.dim <- p - 1 + if(verbose) + cat("\nThe base category is `", base, "'.\n\n", sep="") + if (p < 3) + stop("The number of alternatives should be at least 3.") + if(verbose) + cat("The total number of alternatives is ", p, ".\n\n", sep="") + if(verbose) { + if (trace) + cat("The trace restriction is used instead of the diagonal restriction.\n\n") + else + cat("The diagonal restriction is used instead of the trace restriction.\n\n") + } + + ### obtaining X + tmp <- xmatrix.mnp(formula, data=eval.parent(data), + choiceX=call$choiceX, cXnames=cXnames, + base=base, n.dim=n.dim, lev=lev, MoP=MoP, + verbose=verbose, extra=TRUE) + X <- tmp$X + coefnames <- tmp$coefnames + n.cov <- ncol(X) / n.dim + + ## listwise deletion for X + na.ind <- apply(is.na(X), 1, sum) + if (ncol(Y) == 1) + na.ind <- na.ind + is.na(Y) + Y <- Y[na.ind==0,] + X <- X[na.ind==0,] + n.obs <- nrow(X) + + if (verbose) { + cat("The dimension of beta is ", n.cov, ".\n\n", sep="") + cat("The number of observations is ", n.obs, ".\n\n", sep="") + if (sum(na.ind>0)>0) { + if (sum(na.ind>0)==1) + cat("The observation ", (1:length(na.ind))[na.ind>0], " is dropped due to missing values.\n\n", sep="") + else { + cat("The following ", sum(na.ind>0), " observations are dropped due to missing values:\n", sep="") + cat((1:length(na.ind))[na.ind>0], "\n\n") + } + } + } + + ## checking the prior for beta + p.imp <- FALSE + if (p.var == Inf) { + p.imp <- TRUE + p.prec <- diag(0, n.cov) + if (verbose) + cat("Improper prior will be used for beta.\n\n") + } + else if (is.matrix(p.var)) { + if (ncol(p.var) != n.cov || nrow(p.var) != n.cov) + stop("The dimension of `p.var' should be ", n.cov, " x ", n.cov, sep="") + if (sum(sign(eigen(p.var)$values) < 1) > 0) + stop("`p.var' must be positive definite.") + p.prec <- solve(p.var) + } + else { + p.var <- diag(p.var, n.cov) + p.prec <- solve(p.var) + } + p.mean <- rep(0, n.cov) + + ## checking prior for Sigma + p.df <- eval(p.df) + if (length(p.df) > 1) + stop("`p.df' must be a positive integer.") + if (p.df < n.dim) + stop(paste("`p.df' must be at least ", n.dim, ".", sep="")) + if (abs(as.integer(p.df) - p.df) > 0) + stop("`p.df' must be a positive integer.") + if (!is.matrix(p.scale)) + p.scale <- diag(p.scale, n.dim) + if (ncol(p.scale) != n.dim || nrow(p.scale) != n.dim) + stop("`p.scale' must be ", n.dim, " x ", n.dim, sep="") + if (sum(sign(eigen(p.scale)$values) < 1) > 0) + stop("`p.scale' must be positive definite.") + else if ((trace == FALSE) & (p.scale[1,1] != 1)) { + p.scale[1,1] <- 1 + warning("p.scale[1,1] will be set to 1.") + } + Signames <- NULL + for(j in 1:n.dim) + for(k in 1:n.dim) + if (j<=k) + Signames <- c(Signames, paste(if(MoP) lev[j] else lev[j+1], + ":", if(MoP) lev[k] else lev[k+1], sep="")) + + ## checking starting values + if (length(coef.start) == 1) + coef.start <- rep(coef.start, n.cov) + else if (length(coef.start) != n.cov) + stop(paste("The dimenstion of `coef.start' must be ", + n.cov, ".", sep="")) + if (!is.matrix(cov.start)) { + cov.start <- diag(n.dim)*cov.start + if (!trace) + cov.start[1,1] <- 1 + } + else if (ncol(cov.start) != n.dim || nrow(cov.start) != n.dim) + stop("The dimension of `cov.start' must be ", n.dim, " x ", n.dim, sep="") + else if (sum(sign(eigen(cov.start)$values) < 1) > 0) + stop("`cov.start' must be a positive definite matrix.") + else if ((trace == FALSE) & (cov.start[1,1] != 1)) { + cov.start[1,1] <- 1 + warning("cov.start[1,1] will be set to 1.") + } + + ## checking thinnig and burnin intervals + if (burnin < 0) + stop("`burnin' should be a non-negative integer.") + if (thin < 0) + stop("`thin' should be a non-negative integer.") + keep <- thin + 1 + + ## running the algorithm + if (latent) + n.par <- n.cov + n.dim*(n.dim+1)/2 + n.dim*n.obs + else + n.par <- n.cov + n.dim*(n.dim+1)/2 + if(verbose) + cat("Starting Gibbs sampler...\n") + # recoding NA into -1 + Y[is.na(Y)] <- -1 + + param <- .C("cMNPgibbs", as.integer(n.dim), + as.integer(n.cov), as.integer(n.obs), as.integer(n.draws), + as.double(p.mean), as.double(p.prec), as.integer(p.df), + as.double(p.scale*p.alpha0), as.double(X), as.integer(Y), + as.double(coef.start), as.double(cov.start), + as.integer(p.imp), as.integer(invcdf), + as.integer(burnin), as.integer(keep), as.integer(trace), + as.integer(verbose), as.integer(MoP), as.integer(latent), + pdStore = double(n.par*floor((n.draws-burnin)/keep)), + PACKAGE="MNP")$pdStore + param <- matrix(param, ncol = n.par, + nrow = floor((n.draws-burnin)/keep), byrow=TRUE) + if (latent) { + W <- array(as.vector(t(param[,(n.par-n.dim*n.obs+1):n.par])), + dim = c(n.dim, n.obs, floor((n.draws-burnin)/keep)), + dimnames = list(lev[!(lev %in% base)], rownames(Y), NULL)) + param <- param[,1:(n.par-n.dim*n.obs)] + } + else + W <- NULL + colnames(param) <- c(coefnames, Signames) + + ##recoding -1 back into NA + Y[Y==-1] <- NA + + ## returning the object + res <- list(param = param, x = X, y = Y, w = W, call = call, alt = lev, + n.alt = p, base = base, invcdf = invcdf, trace = trace, + p.mean = if(p.imp) NULL else p.mean, p.var = p.var, + p.df = p.df, p.scale = p.scale, burnin = burnin, thin = thin) + class(res) <- "mnp" + return(res) +} + + + diff --git a/R/onAttach.R b/R/onAttach.R new file mode 100644 index 0000000..e21b04a --- /dev/null +++ b/R/onAttach.R @@ -0,0 +1,7 @@ +".onAttach" <- function(lib, pkg) { + mylib <- dirname(system.file(package = pkg)) + title <- packageDescription(pkg, lib.loc = mylib)$Title + ver <- packageDescription(pkg, lib.loc = mylib)$Version + author <- packageDescription(pkg, lib.loc = mylib)$Author + packageStartupMessage(pkg, ": ", title, "\nVersion: ", ver, "\nAuthors: ", author, "\n") +} diff --git a/R/predict.mnp.R b/R/predict.mnp.R new file mode 100644 index 0000000..ed3b7c6 --- /dev/null +++ b/R/predict.mnp.R @@ -0,0 +1,84 @@ +predict.mnp <- function(object, newdata = NULL, newdraw = NULL, n.draws = 1, + type = c("prob", "choice", "order"), + verbose = FALSE, ...){ + + if (NA %in% match(type, c("prob", "choice", "order"))) + stop("Invalid input for `type'.") + if (n.draws < 1) + stop("Invalid input for `n.draws'.") + + p <- object$n.alt + if (is.null(newdraw)) + param <- object$param + else + param <- newdraw + n.cov <- ncol(coef(object)) + coef <- param[,1:n.cov] + n.mcmc <- nrow(coef) + cov <- param[,(n.cov+1):ncol(param)] + + ## get X matrix ready + if (is.null(newdata)) + x <- object$x + else { + call <- object$call + x <- xmatrix.mnp(as.formula(call$formula), data = newdata, + choiceX = call$choiceX, + cXnames = eval(call$cXnames), + base = object$base, n.dim = p-1, + lev = object$alt, MoP = is.matrix(object$y), + verbose = FALSE, extra = FALSE) + if (nrow(x) > 1) + x <- as.matrix(x[apply(is.na(x), 1, sum)==0,]) + else if (sum(is.na(x))>0) + stop("Invalid input for `newdata'.") + } + n.obs <- nrow(x) + if (verbose) { + if (n.obs == 1) + cat("There is one observation to predict. Please wait...\n") + else + cat("There are", n.obs, "observations to predict. Please wait...\n") + } + + alt <- object$alt + if (object$base != alt[1]) + alt <- c(object$base, alt[1:(length(alt)-1)]) + + res <- .C("predict", as.double(x), as.integer(n.obs), + as.double(coef), as.double(cov), as.integer(p-1), + as.integer(n.cov), as.integer(n.mcmc), + as.integer(n.draws), as.integer(verbose), + prob = if (n.draws > 1) double(n.obs*n.mcmc*p) + else double(n.obs*p), + choice = double(n.obs*n.mcmc), + order = double(n.obs*n.mcmc*p), + PACKAGE = "MNP") + + ans <- list() + if ("choice" %in% type) + ans$y <- matrix(res$choice, ncol=n.mcmc, nrow = n.obs, + byrow = TRUE, dimnames = list(rownames(x), 1:n.mcmc)) + else + ans$y <- NULL + if ("order" %in% type) + ans$o <- aperm(array(res$order, dim=c(p, n.mcmc, n.obs), + dimnames = list(alt, 1:n.mcmc, + rownames(x))), c(3,1,2)) + else + ans$o <- NULL + if ("prob" %in% type) + if (n.draws > 1) + ans$p <- aperm(array(res$prob, dim = c(p, n.mcmc, n.obs), + dimnames = list(alt, 1:n.mcmc, + rownames(x))), c(3,1,2)) + else + ans$p <- matrix(res$prob, nrow = n.obs, ncol = p, byrow = TRUE, + dimnames = list(rownames(x), alt)) + else + ans$p <- NULL + + ans$x <- x + class(ans) <- "predict.mnp" + return(ans) +} diff --git a/R/print.mnp.R b/R/print.mnp.R new file mode 100644 index 0000000..1d04d14 --- /dev/null +++ b/R/print.mnp.R @@ -0,0 +1,13 @@ +print.mnp <- function (x, digits = max(3, getOption("digits") - 3), ...) + { + cat("\nCall:\n", deparse(x$call), "\n\n", sep = "") + param <- apply(x$param, 2, mean) + if (length(param)) { + cat("Parameter estimates (posterior means):\n") + print.default(format(param, digits = digits), print.gap = 2, + quote = FALSE) + } + else cat("No parameter estimates\n") + cat("\n") + invisible(x) + } diff --git a/R/print.summary.mnp.R b/R/print.summary.mnp.R new file mode 100644 index 0000000..cb937a7 --- /dev/null +++ b/R/print.summary.mnp.R @@ -0,0 +1,20 @@ +print.summary.mnp <- function(x, digits = max(3, getOption("digits") - 3), ...) { + + cat("\nCall:\n") + cat(paste(deparse(x$call), sep = "\n", collapse = "\n"), "\n\n", + sep = "") + + cat("\nCoefficients:\n") + printCoefmat(x$coef.table, digits = digits, na.print = "NA", ...) + + cat("\nCovariances:\n") + printCoefmat(x$cov.table, digits = digits, na.print = "NA", ...) + + cat("\nBase category:", x$base) + cat("\nNumber of alternatives:", x$n.alt) + cat("\nNumber of observations:", x$n.obs) + cat("\nNumber of estimated parameters:", x$n.param) + cat("\nNumber of stored MCMC draws:", x$n.draws) + cat("\n\n") + invisible(x) +} diff --git a/R/summary.mnp.R b/R/summary.mnp.R new file mode 100644 index 0000000..a09591c --- /dev/null +++ b/R/summary.mnp.R @@ -0,0 +1,23 @@ +summary.mnp <- function(object, CI=c(2.5, 97.5),...){ + + p <- object$n.alt + param <- object$param + n.cov <- ncol(param) - p*(p-1)/2 + n.draws <- nrow(param) + param.table <- cbind(apply(param, 2, mean), apply(param, 2, sd), + apply(param, 2, quantile, min(CI)/100), + apply(param, 2, quantile, max(CI)/100)) + colnames(param.table) <- c("mean", "std.dev.", paste(min(CI), "%", sep=""), + paste(max(CI), "%", sep="")) + rownames(param.table) <- colnames(param) + + ans <- list(call = object$call, base = object$base, n.alt=p, + n.obs = if(is.matrix(object$y)) nrow(object$y) else length(object$y), + n.param = ncol(param)-1, n.draws = n.draws, + coef.table= if(n.cov > 1) param.table[1:n.cov,] + else matrix(param.table[1,], nrow=1, + dimnames=list(rownames(param.table)[1], colnames(param.table))), + cov.table=param.table[(n.cov+1):ncol(param),]) + class(ans) <- "summary.mnp" + return(ans) +} diff --git a/R/xmatrix.mnp.R b/R/xmatrix.mnp.R new file mode 100644 index 0000000..53d6970 --- /dev/null +++ b/R/xmatrix.mnp.R @@ -0,0 +1,81 @@ +xmatrix.mnp <- function(formula, data = parent.frame(), choiceX=NULL, + cXnames=NULL, base=NULL, n.dim, lev, + MoP=FALSE, verbose=FALSE, extra=FALSE) { + call <- match.call() + mf <- match.call(expand.dots = FALSE) + mf$choiceX <- mf$cXnames <- mf$base <- mf$n.dim <- mf$lev <- + mf$MoP <- mf$verbose <- mf$extra <- NULL + + ## get variables + mf[[1]] <- as.name("model.frame.default") + mf$na.action <- 'na.pass' + mf <- eval.parent(mf) + Terms <- attr(mf, "terms") + X <- model.matrix.default(Terms, mf) + xvars <- as.character(attr(Terms, "variables"))[-1] + if ((yvar <- attr(Terms, "response")) > 0) + xvars <- xvars[-yvar] + xlev <- if (length(xvars) > 0) { + xlev <- lapply(mf[xvars], levels) + xlev[!sapply(xlev, is.null)] + } + p <- n.dim + 1 + n.obs <- nrow(X) + n.cov <- ncol(X) + + ## expanding X + allvnames <- Xnew <- NULL + if (ncol(X) > 0) { + Xcnames <- colnames(X) + for (i in 1:n.cov) { + Xv <- X[, Xcnames[i]] + Xtmp <- varnames <- NULL + for (j in 1:n.dim) { + allvnames <- c(allvnames, paste(Xcnames[i], ":", if(MoP) + lev[j] else lev[j+1], sep="")) + for (k in 1:n.dim) + varnames <- c(varnames, paste(Xcnames[i], ":", if(MoP) lev[j] + else lev[j+1], sep="")) + tmp <- matrix(0, nrow = n.obs, ncol = n.dim) + tmp[, j] <- Xv + Xtmp <- cbind(Xtmp, tmp) + } + colnames(Xtmp) <- varnames + Xnew <- cbind(Xnew, Xtmp) + } + } + + ## checking and adding choice-specific variables + if (!is.null(choiceX)) { + cX <- eval(choiceX, data) + cXn <- unique(names(cX)) + if (sum(is.na(pmatch(cXn, lev))) > 0) + stop(paste("Error: Invalid input for `choiceX.'\n Some variables do not exist.")) + if(MoP) + xbase <- as.matrix(cX[[lev[p]]]) + else if (is.na(pmatch(base, cXn))) + xbase <- NULL + else + xbase <- as.matrix(cX[[base]]) + if (length(cXn) < n.dim) + stop(paste("Error: Invalid input for `choiceX.'\n You must specify the choice-specific varaibles at least for all non-base categories.")) + if (!is.null(xbase) && length(cXn) != p) + stop(paste("Error: Invalid input for `choiceX.'\n You must specify the choice-specific variables at least for all non-base categories.")) + if(!is.null(xbase) && verbose) + cat("The choice-specific variables of the base category are subtracted from the corresponding variables of the non-base categories.\n\n") + for (i in 1:length(cXnames)) + for (j in 1:n.dim) { + if (length(cXnames) != ncol(as.matrix(cX[[if(MoP) lev[j] else lev[j+1]]]))) + stop(paste("Error: The number of variables in `choiceX' and `cXnames' does not match.")) + tmp <- matrix(as.matrix(cX[[if(MoP) lev[j] else lev[j+1]]])[,i], ncol=1) + if (!is.null(xbase)) + tmp <- tmp - xbase[,i] + colnames(tmp) <- paste(cXnames[i], ":", if(MoP) lev[j] else lev[j+1], sep="") + Xnew <- cbind(Xnew, tmp) + } + } + if(extra) + return(list(X=Xnew, coefnames=c(allvnames, cXnames))) + else + return(Xnew) +} diff --git a/R/ymatrix.mnp.R b/R/ymatrix.mnp.R new file mode 100644 index 0000000..9d46a55 --- /dev/null +++ b/R/ymatrix.mnp.R @@ -0,0 +1,38 @@ +ymatrix.mnp <- function(data, base=NULL, extra=FALSE, verbose=verbose) { + ## checking and formatting Y + Y <- model.response(data) + if (is.matrix(Y)) { # Multinomial ordered Probit model + for (i in 1:nrow(Y)) + Y[i,] <- match(Y[i,], sort(unique(Y[i,]))) - 1 + p <- ncol(Y) + lev <- colnames(Y) + MoP <- TRUE + if(!is.null(base)) + stop("Error: The last column of the response matrix must be the base category.\n No need to specify `base.'") + base <- lev[p] + } else { # standard Multinomial Probit model + Y <- as.factor(Y) + lev <- levels(Y) + if (!is.null(base)) + if (base %in% lev) { + Y <- relevel(Y, ref = base) + lev <- levels(Y) + } else { + stop(paste("Error: `base' does not exist in the response variable.")) + } + base <- lev[1] + counts <- table(Y) + if (any(counts == 0)) { + warning(paste("group(s)", paste(lev[counts == 0], collapse = " "), "are empty")) + Y <- factor(Y, levels = lev[counts > 0]) + lev <- lev[counts > 0] + } + p <- length(lev) + Y <- as.matrix(unclass(Y)) - 1 + MoP <- FALSE + } + if(extra) + return(list(Y=Y, MoP=MoP, lev=lev, p=p, base=base)) + else + return(Y) +} diff --git a/data/detergent.txt.gz b/data/detergent.txt.gz new file mode 100644 index 0000000000000000000000000000000000000000..37f15e1ede991fa419e484fd85715ec4a9b6a11c GIT binary patch literal 29683 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q!2I^J6q+CJY!CJGoN15=0IyGs&>DGk$>5BM)yF?fyH?=sCjbB=|C-_e literal 0 HcmV?d00001 diff --git a/man/coef.mnp.Rd b/man/coef.mnp.Rd new file mode 100644 index 0000000..68cc010 --- /dev/null +++ b/man/coef.mnp.Rd @@ -0,0 +1,45 @@ +\name{coef.mnp} + +\alias{coef.mnp} +\alias{coefficients.mnp} + +\title{Extract Multinomial Probit Model Coefficients} + +\description{ + \code{coef.mnp} is a function which extracts multinomial probit model + coefficients from ojbects returned by + \code{mnp}. \code{coefficients.mnp} is an alias for it. \code{coef} + method for class \code{mnp}. +} + +\usage{ + \method{coef}{mnp}(object, subset = NULL, ...) +} + +\arguments{ + \item{object}{An output object from \code{mnp}.} + \item{subset}{A scalar or a numerical vector specifying the row + number(s) of \code{param} in the output object from \code{mnp}. If + specified, the posterior draws of coefficients for those rows are + extracted. The default is \code{NULL} where all the posterior draws + are extracted. + } + \item{...}{further arguments passed to or from other methods.} +} + +\value{ + \code{coef.mnp} returns a matrix (when a numerical vector or + \code{NULL} is specified for \code{subset} argument) or a vector (when + a scalar is specified for \code{subset} arugment) of multinomila + probit model coefficients. +} + +\seealso{\code{mnp}, \code{cov.mnp}; MNP home page at + \url{http://imai.princeton.edu/research/MNP.html}} + +\author{ + Kosuke Imai, Department of Politics, Princeton University + \email{kimai@Princeton.Edu} +} + +\keyword{methods} diff --git a/man/cov.mnp.Rd b/man/cov.mnp.Rd new file mode 100644 index 0000000..04ed5ae --- /dev/null +++ b/man/cov.mnp.Rd @@ -0,0 +1,42 @@ +\name{cov.mnp} + +\alias{cov.mnp} + +\title{Extract Multinomial Probit Model Covariance Matrix} + +\description{ + \code{cov.mnp} is a function which extracts the posterior draws of + covariance matrix from objects returned by \code{mnp}. +} + +\usage{ + cov.mnp(object, subset = NULL, ...) +} + +\arguments{ + \item{object}{An output object from \code{mnp}.} + \item{subset}{A scalar or a numerical vector specifying the row + number(s) of \code{param} in the output object from \code{mnp}. If + specified, the posterior draws of covariance matrix for those rows are + extracted. The default is \code{NULL} where all the posterior draws + are extracted. + } + \item{...}{further arguments passed to or from other methods.} +} + +\value{ + When a numerical vector or \code{NULL} is specified for \code{subset} + argument, \code{cov.mnp} returns a three dimensional array where the + third dimension indexes posterior draws. When a scalar is + specified for \code{subset} arugment, \code{cov.mnp} returns a matrix. +} + +\seealso{\code{mnp}, \code{coef.mnp}; MNP home page at + \url{http://imai.princeton.edu/research/MNP.html}} + +\author{ + Kosuke Imai, Department of Politics, Princeton University + \email{kimai@Princeton.Edu} +} + +\keyword{methods} diff --git a/man/detergent.Rd b/man/detergent.Rd new file mode 100644 index 0000000..d3f812a --- /dev/null +++ b/man/detergent.Rd @@ -0,0 +1,32 @@ +\name{detergent} +\docType{data} +\alias{detergent} +\title{Detergent Brand Choice} +\description{ + This dataset gives the laundry detergent brand choice by households and the + price of each brand. +} +\usage{data(detergent)} + +\format{A data frame containing the following 7 variables and 2657 observations. + + \tabular{lll}{ + choice \tab factor \tab a brand chosen by each household\cr + TidePrice \tab numeric \tab log price of Tide\cr + WiskPrice \tab numeric \tab log price of Wisk\cr + EraPlusPrice \tab numeric \tab log price of EraPlus\cr + SurfPrice \tab numeric \tab log price of Surf\cr + SoloPrice \tab numeric \tab log price of Solo\cr + AllPrice \tab numeric \tab log price of All\cr + } + +} + + + +\references{Chintagunta, P. K. and Prasad, A. R. (1998) \dQuote{An Empirical + Investigation of the `Dynamic McFadden' Model of Purchase Timing and + Brand Choice: Implications for Market Structure}. \emph{Journal of + Business and Economic Statistics} vol. 16 no. 1 pp.2-12. +} +\keyword{datasets} diff --git a/man/japan.Rd b/man/japan.Rd new file mode 100644 index 0000000..87af369 --- /dev/null +++ b/man/japan.Rd @@ -0,0 +1,29 @@ +\name{japan} +\docType{data} +\alias{japan} +\title{Voters' Preferences of Political Parties in Japan (1995)} +\description{ + This dataset gives voters' preferences of political parties + in Japan on the 0 (least preferred) - 100 (most preferred) scale. + It is based on the 1995 survey data of 418 individual voters. + The data also include the sex, education level, and age of + the voters. The survey allowed voters to choose among four parties: + Liberal Democratic Party (LDP), New Frontier Party (NFP), Sakigake + (SKG), and Japanese Communist Party (JCP). +} + +\usage{data(japan)} + +\format{A data frame containing the following 7 variables for 418 observations. + + \tabular{llll}{ + LDP \tab numeric \tab preference for Liberal Democratic Party \tab 0 - 100 \cr + NFP \tab numeric \tab preference for New Frontier Party \tab 0 - 100 \cr + SKG \tab numeric \tab preference for Sakigake \tab 0 - 100 \cr + JCP \tab numeric \tab preference for Japanese Communist Party \tab 0 - 100 \cr + gender \tab factor \tab gender of each voter \tab \code{male} or \code{female} \cr + education \tab numeric \tab levels of education for each voter \tab \cr + age \tab numeric \tab age of each voter \tab + } +} +\keyword{datasets} diff --git a/man/mnp.Rd b/man/mnp.Rd new file mode 100644 index 0000000..9c0026a --- /dev/null +++ b/man/mnp.Rd @@ -0,0 +1,241 @@ +\name{mnp} + +\alias{mnp} +\alias{MNP} + +\title{Fitting the Multinomial Probit Model via Markov chain Monte Carlo} + +\description{ + \code{mnp} is used to fit (Bayesian) multinomial probit + model via Markov chain Monte Carlo. \code{mnp} can also fit the model + with different choice sets for each observation, and complete or + partial ordering of all the available alternatives. The computation + uses the efficient marginal data augmentation algorithm that is + developed by Imai and van Dyk (2005a). +} + +\usage{ +mnp(formula, data = parent.frame(), choiceX = NULL, cXnames = NULL, + base = NULL, latent = FALSE, invcdf = FALSE, trace = TRUE, n.draws = 5000, + p.var = "Inf", p.df = n.dim+1, p.scale = 1, coef.start = 0, + cov.start = 1, burnin = 0, thin = 0, verbose = FALSE) +} + +\arguments{ + \item{formula}{A symbolic description of the model to be fit + specifying the response variable and covariates. The formula should + not include the choice-specific covariates. Details and + specific examples are given below. + } + \item{data}{An optional data frame in which to interpret the variables + in \code{formula} and \code{choiceX}. The default is the environment + in which \code{mnp} is called. + } + \item{choiceX}{An optional list containing a matrix of choice-specific + covariates for each category. Details and examples are provided + below. + } + \item{cXnames}{A vector of the names for the choice-specific covariates + specified in \code{choiceX}. The details and examples are provided + below. + } + \item{base}{The name of the base category. For the standard + multinomial probit model, the default is the lowest level of the + response variable. For the multinomial probit model with ordered + preferences, the default base category is the last column in the + matrix of response variables. + } + \item{latent}{logical. If \code{TRUE}, then the latent variable W will + be returned. See Imai and van Dyk (2005) for the notation. The + default is \code{FALSE}. + } + \item{invcdf}{logical. If \code{TRUE}, then the inverse cdf method is + used for truncated normal sampling. If \code{FALSE}, then the + rejection sampling method is used. The default is \code{FALSE}. + } + \item{trace}{logical. If \code{TRUE}, then the trace of the variance + covariance matrix is set to a constant (here, it is equal to \code{n.dim}) + instead of setting its first diagonal element to 1. The former avoids + the arbitrariness of fixing one particular diagonal element in order to achieve + identification (see Burgette and Nordheim, 2009). + } + \item{n.draws}{A positive integer. The number of MCMC draws. The + default is \code{5000}. + } + \item{p.var}{A positive definite matrix. The prior variance of the + coefficients. A scalar input can set the prior variance to the + diagonal matrix whose diagonal element is equal to that value. The + default is \code{"Inf"}, which represents an improper noninformative + prior distribution on the coefficients. + } + \item{p.df}{A positive integer greater than \code{n.dim-1}. The prior + degrees of freedom parameter for the covariance matrix. The default is + \code{n.dim+1}, which is equal to the total number of alternatives. + } + \item{p.scale}{A positive definite matrix. When \code{trace = FALSE}, its first diagonal element + is set to \code{1} if it is not equal to 1 already. The prior scale matrix for the covariance + matrix. A scalar input can be used to set the + scale matrix to a diagonal matrix with diagonal elements equal to + the scalar input value. The default is \code{1}. + } + \item{coef.start}{A vector. The starting values for the coefficients. + A scalar input sets the starting values for all the coefficients + equal to that value. The default is \code{0}. + } + \item{cov.start}{A positive definite matrix. When \code{trace = FALSE}, its first diagonal + element is set to \code{1} if it is not + equal to 1 already. The starting values for the covariance + matrix. A scalar input can be used to set the starting + value to a diagonal matrix with diagonal elements equal to the scalar + input value. The default is \code{1}. + } + \item{burnin}{A positive integer. The burnin interval for the Markov + chain; i.e., the number of initial Gibbs draws that should not be + stored. The default is \code{0}. + } + \item{thin}{A positive integer. The thinning interval for the Markov + chain; i.e., the number of Gibbs draws between the recorded values + that are skipped. The default is \code{0}. + } + \item{verbose}{logical. If \code{TRUE}, helpful messages along with + a progress report of the Gibbs sampling are printed + on the screen. The default is \code{FALSE}. + } +} + +\details{ + To fit the multinomial probit model when only the most + preferred choice is observed, use the syntax for the formula, \code{y + ~ x1 + x2}, where \code{y} is a factor variable indicating the most + preferred choice and \code{x1} and \code{x2} are individual-specific + covariates. The interactions of individual-specific variables with each + of the choice indicator variables will be fit. + + To specify choice-specific covariates, use the syntax, + \code{choiceX=list(A=cbind(z1, z2), B=cbind(z3, z4), C=cbind(z5, + z6))}, where \code{A}, \code{B}, and \code{C} represent the choice + names of the response variable, and \code{z1} and \code{z2} are each + vectors of length \eqn{n} that record the values of the two + choice-specific covariates for each individual for choice A, likewise + for \code{z3}, \eqn{\ldots}, \code{z6}. The corresponding variable names via + \code{cXnames=c("price", "quantity")} + need to be specified, where \code{price} refers to the coefficient + name for \code{z1}, \code{z3}, and \code{z5}, and \code{quantity} + refers to that for \code{z2}, \code{z4}, and \code{z6}. + + If the choice set varies from one observation to another, use the + syntax, \code{cbind(y1, y2, y3) ~ x1 + x2}, in the case of a + three choice problem, and indicate unavailable alternatives by + \code{NA}. If only the most preferred choice is observed, \code{y1}, + \code{y2}, and \code{y3} are + indicator variables that take on the value one for individuals who + prefer that choice and zero otherwise. The last column of the + response matrix, \code{y3} in this particular example syntax, is + used as the base category. + + To fit the multinomial probit model when the complete + or partial ordering of the available alternatives is recorded, use + the same syntax as when the choice set varies (i.e., \code{cbind(y1, y2, + y3, y4) ~ x1 + x2}). For each observation, all the available + alternatives in the response variables should be numerically ordered + in terms of preferences such as \code{1 2 2 3}. Ties are allowed. The + missing values in the response variable should be denoted by + \code{NA}. The software will impute these missing values using the + specified covariates. The resulting uncertainty estimates of the + parameters will properly reflect the amount of missing data. For + example, we expect the standard errors to be larger when there is more + missing data. +} + +\examples{ +### +### NOTE: this example is not fully analyzed. In particular, the +### convergence has not been assessed. A full analysis of these data +### sets appear in Imai and van Dyk (2005b). +### + +## load the detergent data +data(detergent) +## run the standard multinomial probit model with intercepts and the price +res1 <- mnp(choice ~ 1, choiceX = list(Surf=SurfPrice, Tide=TidePrice, + Wisk=WiskPrice, EraPlus=EraPlusPrice, + Solo=SoloPrice, All=AllPrice), + cXnames = "price", data = detergent, n.draws = 500, burnin = 100, + thin = 3, verbose = TRUE) +## summarize the results +summary(res1) +## calculate the quantities of interest for the first 3 observations +pre1 <- predict(res1, newdata = detergent[1:3,]) + +## load the Japanese election data +data(japan) +## run the multinomial probit model with ordered preferences +res2 <- mnp(cbind(LDP, NFP, SKG, JCP) ~ gender + education + age, data = japan, + verbose = TRUE) +## summarize the results +summary(res2) +## calculate the predicted probabilities for the 10th observation +## averaging over 100 additional Monte Carlo draws given each of MCMC draw. +pre2 <- predict(res2, newdata = japan[10,], type = "prob", n.draws = 100, + verbose = TRUE) +} + +\value{ + An object of class \code{mnp} containing the following elements: + \item{param}{A matrix of the Gibbs draws for each parameter; i.e., the + coefficients and covariance matrix. For the covariance matrix, the + elements on or above the diagonal are returned. + } + \item{call}{The matched call.} + \item{x}{The matrix of covariates.} + \item{y}{The vector or matrix of the response variable.} + \item{w}{The three dimensional array of the latent variable, W. The + first dimension represents the alternatives, and the second + dimension indexes the observations. The third dimension represents + the Gibbs draws. Note that the latent variable for the base category + is set to 0, and therefore omitted from the output.} + \item{alt}{The names of alternatives.} + \item{n.alt}{The total number of alternatives.} + \item{base}{The base category used for fitting.} + \item{invcdf}{The value of \code{invcdf}.} + \item{p.var}{The prior variance for the coefficients.} + \item{p.df}{The prior degrees of freedom parameter for the covariance matrix.} + \item{p.scale}{The prior scale matrix for the covariance matrix.} + \item{burnin}{The number of initial burnin draws.} + \item{thin}{The thinning interval.} +} + + +\references{ + Imai, Kosuke and David A. van Dyk. (2005a) \dQuote{A Bayesian Analysis + of the Multinomial Probit Model Using the Marginal Data + Augmentation,} \emph{Journal of Econometrics}, Vol. 124, No. 2 + (February), pp.311-334. + + Imai, Kosuke and David A. van Dyk. (2005b) \dQuote{MNP: R Package for + Fitting the Multinomial Probit Models,} \emph{Journal of Statistical + Software}, Vol. 14, No. 3 (May), pp.1-32. + + Burgette, L.F. and E.V. Nordheim. (2009). \dQuote{An alternate identifying + restriction for the Bayesian multinomial probit model,} \emph{Technical + report}, Department of Statistics, University of Wisconsin, Madison. + +} + +\author{ + Kosuke Imai, Department of Politics, Princeton University + \email{kimai@Princeton.Edu}, \url{http://imai.princeton.edu}; + David A. van Dyk, Department of Statistics, University of California, +Irvine \email{dvd@uci.edu}, \url{http://www.ics.uci.edu/~dvd}. +} + +\seealso{\code{coef.mnp}, \code{cov.mnp}, \code{predict.mnp}, +\code{summary.mnp}; MNP home page at + \url{http://imai.princeton.edu/research/MNP.html}} + +\keyword{models} + + + + + diff --git a/man/predict.mnp.Rd b/man/predict.mnp.Rd new file mode 100644 index 0000000..2185c41 --- /dev/null +++ b/man/predict.mnp.Rd @@ -0,0 +1,115 @@ +\name{predict.mnp} + +\alias{predict.mnp} + +\title{Posterior Prediction under the Bayesian Multinomial Probit Models} + +\description{ + Obtains posterior predictions under a fitted (Bayesian) multinomial + probit model. \code{predict} method for class \code{mnp}. +} + +\usage{ + \method{predict}{mnp}(object, newdata = NULL, newdraw = NULL, n.draws = 1, + type = c("prob", "choice", "order"), verbose = FALSE, ...) +} + +\arguments{ + \item{object}{An output object from \code{mnp}.} + \item{newdata}{An optional data frame containing the values of the + predictor variables. Predictions for multiple values of the + predictor variables can be made simultaneously if \code{newdata} has + multiple rows. The default is the original data frame used + for fitting the model. + } + \item{newdraw}{An optional matrix of MCMC draws to be used for + posterior predictions. The default is the original MCMC draws stored + in \code{object}. + } + \item{n.draws}{The number of additional Monte Carlo draws given each + MCMC draw of coefficients and covariance matrix. The specified + number of latent variables will be sampled from the multivariate + normal distribution, and the quantities of interest will be + calculated by averaging over these draws. This will be + particularly useful calculating the uncertainty of predicted + probabilities. The default is \code{1}. + } + \item{type}{The type of posterior predictions required. There are + four options: + \code{type = "prob"} returns the predictive probabilities of being + the most preferred choice among the choice set. + \code{type = "choice"} returns the Monte Carlo sample of the + most preferred choice, + and \code{type = "order"} returns the Monte Carlo sample of the + ordered preferences, + } + \item{verbose}{logical. If \code{TRUE}, helpful messages along with a + progress report on the Monte Carlo sampling from the posterior + predictive distributions are printed on the screen. The default is + \code{FALSE}. + } + \item{...}{additional arguments passed to other methods.} +} + +\details{The posterior predictive values are computed using the + Monte Carlo sample stored in the \code{mnp} output (or other sample if + \code{newdraw} is specified). Given each Monte Carlo sample of the + parameters and each vector of predictor variables, we sample the + vector-valued latent variable from the appropriate multivariate Normal + distribution. Then, using the sampled predictive values of the latent + variable, we construct the most preferred choice as well as the + ordered preferences. Averaging over the Monte Carlo sample + of the preferred choice, we obtain the predictive probabilities of + each choice being most preferred given the values of the predictor + variables. Since the predictive values are computed via Monte Carlo + simulations, each run may produce somewhat different values. The + computation may be slow if predictions with many values of the + predictor variables are required and/or if a large Monte Carlo + sample of the model parameters is used. In either case, setting + \code{verbose = TRUE} may be helpful in monitoring the progress of the + code. +} + +\value{ + \code{predict.mnp} yields a list of class + \code{predict.mnp} containing at least one of the + following elements: + \item{o}{A three dimensional array of the Monte Carlo sample from the + posterior predictive distribution of the ordered preferences. The + first dimension corresponds to the rows of \code{newdata} (or + the original data set if \code{newdata} is left unspecified), + the second dimension corresponds to the alternatives in the choice + set, and the third dimension indexes the Monte Carlo sample. If + \code{n.draws} is greater than 1, then each entry will be an average + over these additional draws. + } + \item{p}{A two or three dimensional array of the posterior predictive + probabilities for each alternative in the choice set being most + preferred. The first demension corresponds to the rows of + \code{newdata} (or the original data set if \code{newdata} is left + unspecified), the second dimension corresponds + to the alternatives in the choice set, and the third dimension (if + it exists) indexes the Monte Carlo sample. If \code{n.draws} is + greater than 1, then the third diemsion exists and indexes the Monte + Carlo sample. + } + \item{y}{A matrix of the Monte Carlo sample from the + posterior predictive distribution of the most preferred choice. The + first dimension correspond to the rows of \code{newdata} (or the + original data set if \code{newdata} is left unspecified), and the + second dimension indexes the Monte Carlo sample. \code{n.draws} will + be set to 1 when computing this quantity of interest. + } + \item{x}{A matrix of covariates used for prediction + } +} + +\seealso{\code{mnp}; MNP home page at + \url{http://imai.princeton.edu/research/MNP.html}} + +\author{ + Kosuke Imai, Department of Politics, Princeton University + \email{kimai@Princeton.Edu} +} + +\keyword{methods} diff --git a/man/summary.mnp.Rd b/man/summary.mnp.Rd new file mode 100644 index 0000000..827d098 --- /dev/null +++ b/man/summary.mnp.Rd @@ -0,0 +1,53 @@ +\name{summary.mnp} + +\alias{summary.mnp} +\alias{print.summary.mnp} + +\title{Summarizing the results for the Multinomial Probit Models} + +\description{ + \code{summary} method for class \code{mnp}. +} + +\usage{ + \method{summary}{mnp}(object, CI=c(2.5, 97.5), ...) + + \method{print}{summary.mnp}(x, digits = max(3, getOption("digits") - 3), ...) +} + +\arguments{ + \item{object}{An output object from \code{mnp}.} + \item{CI}{A 2 dimensional vector of lower and upper bounds for the + credible intervals used to summarize the results. The default is the + equal tail 95 percent credible interval. + } + \item{x}{An object of class \code{summary.mnp}.} + \item{digits}{the number of significant digits to use when printing.} + \item{...}{further arguments passed to or from other methods.} +} + +\value{ + \code{summary.mnp} yields an object of class \code{summary.mnp} + containing the following elements: + \item{call}{The call from \code{mnp}.} + \item{n.alt}{The total number of alternatives.} + \item{base}{The base category used for fitting.} + \item{n.obs}{The number of observations.} + \item{n.param}{The number of estimated parameters.} + \item{n.draws}{The number of Gibbs draws used for the summary.} + \item{coef.table}{The summary of the posterior distribution of the + coefficients. } + \item{cov.table}{The summary of the posterior distribution of the + covariance matrix.} + This object can be printed by \code{print.summary.mnp} +} + +\seealso{\code{mnp}; MNP home page at + \url{http://imai.princeton.edu/research/MNP.html}} + +\author{ + Kosuke Imai, Department of Politics, Princeton University + \email{kimai@Princeton.Edu} +} + +\keyword{methods} diff --git a/src/MNP.c b/src/MNP.c new file mode 100644 index 0000000..ca0ec09 --- /dev/null +++ b/src/MNP.c @@ -0,0 +1,619 @@ +/****************************************************************** + This file is a part of MNP: R Package for Estimating the + Multinomial Probit Models by Kosuke Imai and David A. van Dyk. + Copyright: GPL version 2 or later. +*******************************************************************/ + +#include +#include +#include +#include +#include +#include +#include "vector.h" +#include "subroutines.h" +#include "rand.h" + +void cMNPgibbs(int *piNDim, int *piNCov, int *piNSamp, int *piNGen, + double *b0, /* prior mean for beta */ + double *pdA0, int *piNu0, double *pdS, double *pdX, + int *y, /* response variable: -1 for missing */ + double *pdbeta, double *pdSigma, int *piImp, + int *invcdf, /* use inverse cdf for TruncNorm? */ + int *piBurnin, /* the number of burnin */ + int *piKeep, + int *itrace, + int *verbose, /* 1 if extra print is needed */ + int *piMoP, /* 1 if Multinomial ordered Probit */ + int *latent, /* 1 if W is stored */ + double *pdStore){ + + /* paramerters from R */ + int n_samp = *piNSamp; /* sample size */ + int n_gen = *piNGen; /* number of gibbs draws */ + int n_cov = *piNCov; /* The number of covariates */ + int n_dim = *piNDim; /* The number of indentifiable dimension (p-1) */ + int nu0 = *piNu0; /* nu0: degree of freedom, S: scale matrix */ + int imp = *piImp; /* 0: improper prior for beta - algorithms 1 & 2 + 1: proper prior for beta */ + int keep = 1; /* counter for keep */ + int progress = 1; /* counter for progress report */ + double *beta; /* The model parameters */ + double **Sigma; /* The unidentifiable variance matrix */ + double **X; /* The covariates and outcome var */ + double **A0; /* prior precision for beta */ + double **S; /* The prior parameters for Sigma */ + + /* model parameters */ + int **Y; /* The response variable */ + double **W; /* The missing data! */ + double cmean; /* The conditional mean for Wij */ + double cvar; /* The conditional variance for Wij */ + double maxw=0.0, minw=0.0; /* used for sampling W */ + int *maxy; + double **Xbeta; + double ***PerSig; /* Permuted Sigma for sampling W */ + int kindx, lindx; /* Indexes for the permutation of Sigma */ + double *mbeta; /* Posterior mean of beta */ + double **Vbeta; /* The var of beta, given Yaug */ + double **Xstar; /* L*X where L is the Chol factor of SigInv */ + double **SigInv; /* The Inverse of Sigma */ + double *epsilon; /* The error term */ + double **R; /* Sum of squares matrix e'e */ + double **SS; /* Sum of squares for sweep operator */ + double alpha2; /* alpha^2: Inv-chisq df=nu0 */ + double ss; /* scale parameter for alpha^2 */ + int i, j, k, l, main_loop; /* used for loops */ + + /* temporay storages */ + int itemp, itempMax, itempMin, *ivtemp, itempS = 0, itempP=ftrunc((double) n_gen/10); + double *vtemp; + double **mtemp,**mtemp1,**mtemp2; + + /** get random seed **/ + GetRNGstate(); + + /** defining vectors and matricies **/ + Y = intMatrix(n_samp, n_dim+1); + W = doubleMatrix(n_samp, n_dim+1); + X = doubleMatrix(n_samp*n_dim+n_cov, n_cov+1); + Xbeta = doubleMatrix(n_samp, n_dim); + SS = doubleMatrix(n_cov+1, n_cov+1); + Sigma = doubleMatrix(n_dim, n_dim); + SigInv = doubleMatrix(n_dim, n_dim); + epsilon = doubleArray(n_samp*n_dim); + R = doubleMatrix(n_dim, n_dim); + beta = doubleArray(n_cov); + mbeta = doubleArray(n_cov); + Vbeta = doubleMatrix(n_cov, n_cov); + A0 = doubleMatrix(n_cov, n_cov); + S = doubleMatrix(n_dim, n_dim); + vtemp = doubleArray(n_dim-1); + maxy = intArray(n_samp); + ivtemp = intArray(n_dim+1); + Xstar = doubleMatrix(n_samp*n_dim+n_cov, n_cov+1); + mtemp = doubleMatrix(n_cov, n_cov); + mtemp1 = doubleMatrix(n_dim, n_dim); + mtemp2 = doubleMatrix(n_dim, n_dim); + PerSig = doubleMatrix3D(n_dim, n_dim, n_dim); + + /** Packing Y, X, A0, S, beta, Sigma **/ + if(*piMoP) { + itemp = 0; + for (j = 0; j <= n_dim; j++) + for (i = 0; i < n_samp; i++) Y[i][j] = y[itemp++]; + for (i = 0; i < n_samp; i++) { /* recording the max of Y[i] */ + for (j=0; j<= n_dim; j++) + ivtemp[j]=Y[i][j]; + R_isort(ivtemp, n_dim+1); + maxy[i]=ivtemp[n_dim]; + } + } + + itemp = 0; + for (k = 0; k < n_cov; k++) + for (j = 0; j < n_dim; j++) + for (i = 0; i < n_samp; i++) + X[i*n_dim+j][k] = pdX[itemp++]; + + /* PdoubleMatrix(X, n_dim*3, n_cov); */ + itemp = 0; + for (k = 0; k < n_cov; k++) + for (j = 0; j < n_cov; j++) A0[j][k] = pdA0[itemp++]; + + itemp = 0; + for (k = 0; k < n_dim; k++) + for (j = 0; j < n_dim; j++) S[j][k] = pdS[itemp++]; + + itemp = 0; + for (j=0; j0) && (maxw > W[i][k])) + maxw=W[i][k]; + } + if(Y[i][k]==(Y[i][j]-1)) { + if(itempMin==0) { + minw=W[i][k]; + itempMin++; + } + if((itempMin>0) && (minw < W[i][k])) + minw=W[i][k]; + } + } + } + itemp=0; + for (k=0;k *piBurnin) { + if(keep==*piKeep) { + for(j=0;j 1) { + for (j = 0; j <= n_dim; j++) + probTemp[j] = 0; + } + /* compute the mean for each dimension */ + for (j = 0; j < n_dim; j++) { + Xbeta[j] = 0; + for (k = 0; k < n_cov; k++) + Xbeta[j] += X[i*n_dim+j][k] * beta[main_loop][k]; + } + /* PdoubleArray(Xbeta, n_dim); */ + /* sample W */ + for (j = 0; j < n_extra; j++) { + /*dinv(Sigma[main_loop], n_dim, mtemp);*/ + rMVN(vtemp, Xbeta, Sigma[main_loop], n_dim); + for (k = 0; k < n_dim; k++) + W[j][k+1] = vtemp[k]; + W[j][0] = 0; + } + /* which dimension is max for each of n_extra W draws? + PdoubleMatrix(W, n_extra, n_dim+1); */ + R_max_col2(W, n_extra, n_dim+1, maxdim, 1); + /* PintArray(maxdim, n_extra); */ + /* order */ + for (j = 0; j < n_extra; j++) { + for (k = 0; k <= n_dim; k++) { + ind[k] = k; sumorder[k] = 0; + } + revsort(W[j], ind, n_dim+1); + /* PintArray(ind, n_dim+1); */ + for (k = 0; k <= n_dim; k++) + sumorder[ind[k]] += (k+1); + if(*verbose) { + if(count == itempQ) { + Rprintf("%3d percent done.\n", progress*10); + itempQ += ftrunc((double) total/10); progress++; + R_FlushConsole(); + } + count++; + } + } + if (n_extra > 1) { + /* store probability and mean order */ + for (j = 0; j <= n_dim; j++) { + itemp = 0; + for (k = 0; k < n_extra; k++) + if (maxdim[k] == (j+1)) + itemp++; + prob[itempP++] = ((double) itemp / (double) n_extra); + order[itempO++] = ((double) sumorder[j] / (double) n_extra); + } + } else { + /* store choice */ + for (j = 0; j <= n_dim; j++) { + if (maxdim[0] == (j+1)) { + choice[itempC++] = j; + probTemp[j]++; + } + order[itempO++] = sumorder[j]; + } + } + } + if (n_extra == 1) + for (j = 0; j <= n_dim; j++) + prob[itempP++] = ((double) probTemp[j] / (double) n_draw); + } + + /** write out the random seed **/ + PutRNGstate(); + + /* freeing memory */ + FreeMatrix(X, n_samp*n_dim); + free(vtemp); + free(Xbeta); + FreeMatrix(W, n_extra); + FreeMatrix(beta, n_draw); + FreeMatrix(mtemp, n_dim); + Free3DMatrix(Sigma, n_draw, n_dim); + free(maxdim); + free(ind); + free(sumorder); + free(probTemp); +} diff --git a/src/Makevars b/src/Makevars new file mode 100644 index 0000000..c0c23fa --- /dev/null +++ b/src/Makevars @@ -0,0 +1,2 @@ + PKG_LIBS = $(LAPACK_LIBS) $(BLAS_LIBS) $(FLIBS) + diff --git a/src/rand.c b/src/rand.c new file mode 100644 index 0000000..ea97fd3 --- /dev/null +++ b/src/rand.c @@ -0,0 +1,201 @@ + +#include +#include +#include +#include +#include +#include +#include "vector.h" +#include "subroutines.h" +#include "rand.h" + + +double sTruncNorm( + double bd, /* bound */ + double mu, + double var, + int lower /* 1 = x > bd, 0 = x < bd */ + ) { + + double z, logb, lambda, u; + double sigma = sqrt(var); + double stbd = (bd - mu)/sigma; + + if (lower == 0) { + stbd = (mu - bd)/sigma; + } + if (stbd > 0) { + lambda = 0.5*(stbd + sqrt(stbd*stbd + 4)); + logb = 0.5*(lambda*lambda-2*lambda*stbd); + do { + z = rexp(1/lambda); + /* Rprintf("%5g\n", exp(-0.5*(z+stbd)*(z+stbd)+lambda*z-logb)); */ + } while (unif_rand() > exp(-0.5*(z+stbd)*(z+stbd)+lambda*z-logb)); + } else { + do z = norm_rand(); + while(z < stbd); + } + if (lower == 1) { + return(z*sigma + mu); + } else { + return(-z*sigma + mu); + } +} + + +/* Sample from a univariate truncated Normal distribution + (truncated both from above and below): choose either inverse cdf + method or rejection sampling method. For rejection sampling, + if the range is too far from mu, it uses standard rejection + sampling algorithm with exponential envelope function. */ +double TruncNorm( + double lb, /* lower bound */ + double ub, /* upper bound */ + double mu, /* mean */ + double var, /* variance */ + int invcdf /* use inverse cdf method? */ + ) { + + double z; + double sigma = sqrt(var); + double stlb = (lb-mu)/sigma; /* standardized lower bound */ + double stub = (ub-mu)/sigma; /* standardized upper bound */ + if(stlb > stub) + error("TruncNorm: lower bound is greater than upper bound\n"); + if(stlb == stub) { + warning("TruncNorm: lower bound is equal to upper bound\n"); + return(stlb*sigma + mu); + } + if (invcdf) { /* inverse cdf method */ + z = qnorm(runif(pnorm(stlb, 0, 1, 1, 0), pnorm(stub, 0, 1, 1, 0)), + 0, 1, 1, 0); + } + else { /* rejection sampling method */ + double tol=2.0; + double temp, M, u, exp_par; + int flag=0; /* 1 if stlb, stub <-tol */ + if(stub<=-tol){ + flag=1; + temp=stub; + stub=-stlb; + stlb=-temp; + } + if(stlb>=tol){ + exp_par=stlb; + while(pexp(stub,1/exp_par,1,0) - pexp(stlb,1/exp_par,1,0) < 0.000001) + exp_par/=2.0; + if(dnorm(stlb,0,1,1) - dexp(stlb,1/exp_par,1) >= + dnorm(stub,0,1,1) - dexp(stub,1/exp_par,1)) + M=exp(dnorm(stlb,0,1,1) - dexp(stlb,1/exp_par,1)); + else + M=exp(dnorm(stub,0,1,1) - dexp(stub,1/exp_par,1)); + do{ + u=unif_rand(); + z=-log(1-u*(pexp(stub,1/exp_par,1,0)-pexp(stlb,1/exp_par,1,0)) + -pexp(stlb,1/exp_par,1,0))/exp_par; + }while(unif_rand() > exp(dnorm(z,0,1,1)-dexp(z,1/exp_par,1))/M ); + if(flag==1) z=-z; + } + else{ + do z=norm_rand(); + while( zstub ); + } + } + return(z*sigma + mu); +} + + +/* Sample from the MVN dist */ +void rMVN( + double *Sample, /* Vector for the sample */ + double *mean, /* The vector of means */ + double **Var, /* The matrix Variance */ + int size) /* The dimension */ +{ + int j,k; + double **Model = doubleMatrix(size+1, size+1); + double cond_mean; + + /* draw from mult. normal using SWP */ + for(j=1;j<=size;j++){ + for(k=1;k<=size;k++) + Model[j][k]=Var[j-1][k-1]; + Model[0][j]=mean[j-1]; + Model[j][0]=mean[j-1]; + } + Model[0][0]=-1; + Sample[0]=(double)norm_rand()*sqrt(Model[1][1])+Model[0][1]; + for(j=2;j<=size;j++){ + SWP(Model,j-1,size+1); + cond_mean=Model[j][0]; + for(k=1;k0) + for(k=0;k0) + for(k=0;k +#include +#include +#include +#include +#include +#include +#include "vector.h" +#include "rand.h" + +/* The Sweep operator */ +void SWP( + double **X, /* The Matrix to work on */ + int k, /* The row to sweep */ + int size) /* The dim. of X */ +{ + int i,j; + + if (X[k][k] < 10e-20) + error("SWP: singular matrix.\n"); + else + X[k][k]=-1/X[k][k]; + for(i=0;i +#include +#include +#include +#include + +int* intArray(int num) { + int *iArray = (int *)malloc(num * sizeof(int)); + if (!iArray) + error("Out of memory error in intArray\n"); + return iArray; +} + +void PintArray(int *ivector, int length) { + int i; + for (i = 0; i < length; i++) + Rprintf("%5d\n", ivector[i]); +} + +int** intMatrix(int row, int col) { + int i; + int **iMatrix = (int **)malloc(row * sizeof(int *)); + if (!iMatrix) + error("Out of memory error in intMatrix\n"); + for (i = 0; i < row; i++) { + iMatrix[i] = (int *)malloc(col * sizeof(int)); + if (!iMatrix[i]) + error("Out of memory error in intMatrix\n"); + } + return iMatrix; +} + +void PintMatrix(int **imatrix, int row, int col) { + int i, j; + for (i = 0; i < row; i++) { + for (j = 0; j < col; j++) + Rprintf("%5d", imatrix[i][j]); + Rprintf("\n"); + } +} + + +double* doubleArray(int num) { + double *dArray = (double *)malloc(num * sizeof(double)); + if (!dArray) + error("Out of memory error in doubleArray\n"); + return dArray; +} + +void PdoubleArray(double *dvector, int length) { + int i; + for (i = 0; i < length; i++) + Rprintf("%14g\n", dvector[i]); +} + +double** doubleMatrix(int row, int col) { + int i; + double **dMatrix = (double **)malloc((size_t)(row * sizeof(double *))); + if (!dMatrix) + error("Out of memory error in doubleMatrix\n"); + for (i = 0; i < row; i++) { + dMatrix[i] = (double *)malloc((size_t)(col * sizeof(double))); + if (!dMatrix[i]) + error("Out of memory error in doubleMatrix\n"); + } + return dMatrix; +} + +void PdoubleMatrix(double **dmatrix, int row, int col) { + int i, j; + for (i = 0; i < row; i++) { + for (j = 0; j < col; j++) + Rprintf("%14g", dmatrix[i][j]); + Rprintf("\n"); + } +} + +double*** doubleMatrix3D(int x, int y, int z) { + int i; + double ***dM3 = (double ***)malloc(x * sizeof(double **)); + if (!dM3) + error("Out of memory error in doubleMatrix3D\n"); + for (i = 0; i < x; i++) + dM3[i] = doubleMatrix(y, z); + return dM3; +} + +void PdoubleMatrix3D(double ***dmatrix3D, int x, int y, int z) { + int i, j, k; + for (i = 0; i < x; i++) { + Rprintf("Fist dimension = %5d\n", i); + for (j = 0; j < y; j++) { + for (k = 0; k < z; k++) + Rprintf("%14g", dmatrix3D[i][j][k]); + Rprintf("\n"); + } + } +} + +long* longArray(int num) { + long *lArray = (long *)malloc(num * sizeof(long)); + if (!lArray) + error("Out of memory error in longArray\n"); + return lArray; +} + +void FreeMatrix(double **Matrix, int row) { + int i; + for (i = 0; i < row; i++) + free(Matrix[i]); + free(Matrix); +} + +void FreeintMatrix(int **Matrix, int row) { + int i; + for (i = 0; i < row; i++) + free(Matrix[i]); + free(Matrix); +} + +void Free3DMatrix(double ***Matrix, int index, int row) { + int i; + for (i = 0; i < index; i++) + FreeMatrix(Matrix[i], row); + free(Matrix); +} + + + + diff --git a/src/vector.h b/src/vector.h new file mode 100644 index 0000000..5c99ddc --- /dev/null +++ b/src/vector.h @@ -0,0 +1,21 @@ +#include +#include + +int *intArray(int num); +void PintArray(int *ivector, int length); +int **intMatrix(int row, int col); +void PintMatrix(int **imatrix, int row, int col); + +double *doubleArray(int num); +void PdoubleArray(double *dvector, int length); +double **doubleMatrix(int row, int col); +void PdoubleMatrix(double **dmatrix, int row, int col); + +double ***doubleMatrix3D(int x, int y, int z); +void PdoubleMatrix3D(double ***dmatrix3D, int x, int y, int z); + +long *longArray(int num); + +void FreeMatrix(double **Matrix, int row); +void FreeintMatrix(int **Matrix, int row); +void Free3DMatrix(double ***Matrix, int index, int row);