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Merge pull request #142 from r-spatial/kb23
Kb23 Add SD.RStests for Koley & Bera 2023 and in progress
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# Copyright 2023-4 by Roger Bivand | ||
# | ||
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is.formula <- function(x){ | ||
inherits(x,"formula") | ||
} | ||
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create_X0 <- function(X, listw, Durbin=TRUE, data=NULL, na.act=NULL) { | ||
if (isTRUE(Durbin)) { | ||
n <- NROW(X) | ||
m <- NCOL(X) | ||
# check if there are enough regressors | ||
xcolnames <- colnames(X) | ||
stopifnot(!is.null(xcolnames)) | ||
K <- ifelse(xcolnames[1] == "(Intercept)", 2, 1) | ||
vars <- NULL | ||
xI <- NULL | ||
X0 <- NULL | ||
if (K == 2) { | ||
# unnormalized weight matrices | ||
if (!(listw$style == "W")) { | ||
xI <- as.double(rep(1, n)) | ||
vars <-"X0.(Intercept)" | ||
} | ||
} | ||
if (m > 1 || (m == 1 && K == 1)) { | ||
X0 <- matrix(as.numeric(NA), nrow=n, | ||
ncol=ifelse(m==1, 1, (m-(K-1)))) | ||
for (k in K:m) { | ||
j <- ifelse(k==1, 1, k-(K-1)) | ||
X0[,j] <- X[,xcolnames[k]] | ||
vars <- c(vars, xcolnames[k]) | ||
} | ||
} | ||
if (!is.null(xI)) X0 <- cbind(xI, X0) | ||
colnames(X0) <- vars | ||
rownames(X0) <- rownames(X) | ||
} else if (is.formula(Durbin)) { | ||
data1 <- data | ||
if (!is.null(na.act) && (inherits(na.act, "omit") || | ||
inherits(na.act, "exclude"))) { | ||
data1 <- data1[-c(na.act),] | ||
} | ||
dmf <- lm(Durbin, data1, na.action=na.fail, | ||
method="model.frame") | ||
# dmf <- lm(Durbin, data, na.action=na.action, | ||
# method="model.frame") | ||
X0 <- try(model.matrix(Durbin, dmf), silent=TRUE) | ||
if (inherits(X0, "try-error")) | ||
stop("Durbin variable mis-match") | ||
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inds <- match(colnames(X0), colnames(X)) | ||
if (anyNA(inds)) { | ||
wna <- which(is.na(inds)) #TR: continue if Durbin has intercept, but formula has not | ||
if (length(wna) == 1 && grepl("Intercept", colnames(X0)[wna]) | ||
&& attr(terms(Durbin), "intercept") == 1) { | ||
inds <- inds[-wna] | ||
} else { | ||
stop("X0 variables not in X: ", | ||
paste(colnames(X0)[is.na(inds)], collapse=" ")) | ||
} | ||
} | ||
icept <- grep("(Intercept)", colnames(X0)) | ||
if (length(icept) == 1L && listw$style == "W") | ||
X0 <- X0[, -icept, drop=FALSE] | ||
} else stop("Durbin argument neither TRUE nor formula") | ||
X0 | ||
} | ||
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SD.RStests <- function(model, listw, zero.policy=attr(listw, "zero.policy"), test="SDM", Durbin=TRUE) { | ||
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if (inherits(model, "lm")) na.act <- model$na.action | ||
else na.act <- attr(model, "na.action") | ||
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listw_name <- deparse(substitute(listw)) | ||
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SDM.tests <- c("SDM_RSlag", "SDM_adjRSlag", "SDM_RSWX", "SDM_adjRSWX", "SDM_Joint") | ||
SDEM.tests <- c("SDEM_RSerr", "SDEM_RSWX", "SDEM_Joint") | ||
all.tests <- c(SDM.tests, SDEM.tests) | ||
if (test[1] == "SDM") test <- SDM.tests | ||
if (test[1] == "SDEM") test <- SDEM.tests | ||
if (test[1] == "all") test <- all.tests | ||
if (!all(test %in% all.tests)) | ||
stop("Invalid test selected - must be either \"all\", \"SDM\", \"SDEM\" or a vector of tests") | ||
nt <- length(test) | ||
if (nt < 1) stop("non-positive number of tests") | ||
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if (!inherits(listw, "listw")) stop(paste(listw_name, | ||
"is not a listw object")) | ||
if (is.null(zero.policy)) | ||
zero.policy <- get("zeroPolicy", envir = .spdepOptions) | ||
stopifnot(is.logical(zero.policy)) | ||
if (!is.null(na.act)) { | ||
subset <- !(1:length(listw$neighbours) %in% na.act) | ||
listw <- subset(listw, subset, zero.policy=zero.policy) | ||
} | ||
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if(!inherits(model, "lm")) stop(paste(deparse(substitute(model)), | ||
"not an lm object")) | ||
N <- length(listw$neighbours) | ||
u <- resid(model) | ||
if (N != length(u)) stop("objects of different length") | ||
u <- as.vector(u) | ||
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if (is.null(attr(listw$weights, "W")) || !attr(listw$weights, "W")) | ||
warning("Spatial weights matrix not row standardized") | ||
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if (is.formula(Durbin)) { | ||
dt <- try(eval(model$call[["data"]]), silent=TRUE) | ||
if (inherits(dt, "try-error") || !is.data.frame(dt)) | ||
stop("data object used to fit linear model not available for formula Durbin") | ||
} | ||
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y <- model.response(model.frame(model)) | ||
X <- model.matrix(terms(model), model.frame(model)) | ||
X0 <- create_X0(X=X, listw=listw, Durbin=Durbin, data=dt, na.act=na.act) | ||
yhat <- as.vector(fitted(model)) | ||
p <- model$rank | ||
p1 <- 1:p | ||
nacoefs <- which(is.na(coefficients(model))) | ||
# fixed after looking at TOWN dummy in Boston data | ||
if (length(nacoefs) > 0L) X <- X[,-nacoefs] | ||
XtXinv <- chol2inv(model$qr$qr[p1, p1, drop = FALSE]) | ||
sigma2 <- c(t(u) %*% u) / N | ||
TrW <- tracew(listw) | ||
Wu <- lag.listw(listw, u, zero.policy) | ||
Wy <- lag.listw(listw, y, zero.policy) | ||
dr <- (t(Wy) %*% u)/sigma2 # lagged y | ||
dl <- (t(Wu) %*% u)/sigma2 # lagged residuals | ||
Wyhat <- lag.listw(listw, yhat, zero.policy) | ||
WX0 <- lag.listw(listw, X0, zero.policy) | ||
dg <- c(t(WX0) %*% u)/sigma2 | ||
k <- ncol(X) | ||
k0 <- ncol(X0) | ||
J_11 <- rbind(cbind((crossprod(X)/(N*sigma2)), rep(0, k)), | ||
cbind(t(rep(0, k)), (1/(2*(sigma2^2))))) | ||
invJ_11 <- solve(J_11) | ||
Jrp <- rbind((t(X) %*% Wyhat)/(N*sigma2), t(rep(0, 1))) | ||
Jgb <- (t(X) %*% WX0)/(N*sigma2) | ||
Jgp <- rbind(Jgb, t(rep(0, k0))) | ||
J_12 <- cbind(Jrp, Jgp) | ||
Jrr <- (c(crossprod(Wyhat)) + TrW*sigma2)/(N*sigma2) | ||
Jgg <- crossprod(WX0)/(N*sigma2) | ||
Jrg <- (t(WX0) %*% Wyhat)/(N*sigma2) | ||
J_22 <- rbind(cbind(Jrr, t(Jrg)), cbind(Jrg, Jgg)) | ||
Jrg.p <- t(Jrg) - c(t(Jrp) %*% invJ_11 %*% Jgp) | ||
Jr.p <- Jrr - c(t(Jrp) %*% invJ_11 %*% Jrp) | ||
Jg.p <- Jgg - (t(Jgp) %*% invJ_11 %*% Jgp) | ||
invJg.p <- solve(Jg.p) | ||
dr_adj <- dr - (Jrg.p %*% invJg.p %*% dg) | ||
Jr.p_adj <- Jr.p - (Jrg.p %*% invJg.p %*% t(Jrg.p)) | ||
dg_adj <- dg - c(dr * (1/Jr.p)) * Jrg.p | ||
Jg.p_adj <- Jg.p - ((1/Jr.p) * crossprod(Jrg.p)) | ||
J.22 <- solve(J_22 - t(J_12) %*% invJ_11 %*% J_12) | ||
invJg.b <- solve(Jgg - t(Jgb) %*% solve(crossprod(X)/(N*sigma2)) %*% | ||
Jgb) | ||
tres <- vector(mode="list", length=nt) | ||
names(tres) <- test | ||
for (i in 1:nt) { | ||
testi <- test[i] | ||
zz <- switch(testi, | ||
SDM_RSlag = vec <- c((1/N) * ((dr^2) * 1/Jr.p), 1), | ||
SDM_adjRSlag = vec <- c((1/N)*((dr_adj^2)*(1/Jr.p_adj)), 1), | ||
SDM_RSWX = vec <- c((1/N) * (t(dg) %*% invJg.p %*% dg), | ||
ncol(X0)), | ||
SDM_adjRSWX = vec <- c((1/N) * (dg_adj %*% solve(Jg.p_adj) %*% | ||
t(dg_adj)), ncol(X0)), | ||
SDM_Joint = vec <- c(((1/N) * (t(c(dr, dg)) %*% | ||
J.22 %*% c(dr, dg))), ncol(X0)+1), | ||
SDEM_RSerr = vec <- c((dl^2) / TrW, 1), | ||
SDEM_RSWX = vec <- c(((t(dg) %*% invJg.b %*% dg) / N), | ||
ncol(X0)), | ||
SDEM_Joint = vec <- c(((t(dg) %*% invJg.b %*% dg) / N) + | ||
((dl^2) / TrW), ncol(X0)+1) | ||
) | ||
if (is.null(zz)) stop(paste(testi, ": no such test", sep="")) | ||
statistic <- vec[1] | ||
names(statistic) <- testi | ||
parameter <- vec[2] | ||
names(parameter) <- "df" | ||
p.value <- 1 - pchisq(statistic, parameter) | ||
if (!is.finite(p.value) || p.value < 0 || p.value > 1) | ||
warning("Out-of-range p-value: reconsider test arguments") | ||
names(p.value) <- "" | ||
method <- "Rao's score test spatial Durbin diagnostics" | ||
Durf <- "" | ||
if (is.formula(Durbin)) | ||
Durf <- paste0("Durbin: ", paste(as.character(Durbin), | ||
collapse=" "), "\n") | ||
data.name <- paste("\n", paste(strwrap(paste("model: ", | ||
gsub("[ ]+", " ", paste(deparse(model$call), | ||
sep="", collapse="")))), collapse="\n"), | ||
"\nweights: ", listw_name, "\n", Durf, sep="") | ||
tres[[i]] <- list(statistic=statistic, parameter=parameter, | ||
p.value=p.value, method=method, data.name=data.name) | ||
class(tres[[i]]) <- "htest" | ||
} | ||
class(tres) <- "RStestlist" | ||
tres | ||
} | ||
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