texreg author here. Thanks for catching this. As described in my reply here, texreg uses extract methods to retrieve the relevant information from any of the (currently more than 70 supported) model object types. It looks like there is a glitch in the GOF part of the method for sarlm objects.
Here is what the method currently looks like (as of texreg 1.36.13):
# extension for sarlm objects (spdep package)
extract.sarlm <- function(model, include.nobs = TRUE, include.aic = TRUE,
include.loglik = TRUE, include.wald = TRUE, include.lambda = TRUE,
include.rho = TRUE, ...) {
s <- summary(model, ...)
names <- rownames(s$Coef)
cf <- s$Coef[, 1]
se <- s$Coef[, 2]
p <- s$Coef[, ncol(s$Coef)]
gof <- numeric()
gof.names <- character()
gof.decimal <- logical()
if (include.nobs == TRUE) {
n <- length(s$fitted.values)
param <- s$parameters
gof <- c(gof, n, param)
gof.names <- c(gof.names, "Num.\ obs.", "Parameters")
gof.decimal <- c(gof.decimal, FALSE, FALSE)
}
if (include.aic == TRUE) {
aic <- AIC(model)
aiclm <- s$AIC_lm.model
gof <- c(gof, aiclm, aic)
gof.names <- c(gof.names, "AIC (Linear model)", "AIC (Spatial model)")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
if (include.loglik == TRUE) {
ll <- s$LL
gof <- c(gof, ll)
gof.names <- c(gof.names, "Log Likelihood")
gof.decimal <- c(gof.decimal, TRUE)
}
if (include.wald == TRUE) {
waldstat <- s$Wald1$statistic
waldp <- s$Wald1$p.value
gof <- c(gof, waldstat, waldp)
gof.names <- c(gof.names, "Wald test: statistic", "Wald test: p-value")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
if (include.lambda == TRUE && !is.null(s$lambda)) {
lambda <- s$lambda
LRpval <- s$LR1$p.value[1]
gof <- c(gof, lambda, LRpval)
gof.names <- c(gof.names, "Lambda: statistic", "Lambda: p-value")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
if (include.rho == TRUE && !is.null(s$rho)) {
rho <- s$rho
LRpval <- s$LR1$p.value[1]
gof <- c(gof, rho, LRpval)
gof.names <- c(gof.names, "Rho: statistic", "Rho: p-value")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
tr <- createTexreg(
coef.names = names,
coef = cf,
se = se,
pvalues = p,
gof.names = gof.names,
gof = gof,
gof.decimal = gof.decimal
)
return(tr)
}
setMethod("extract", signature = className("sarlm", "spdep"),
definition = extract.sarlm)
I think you are right that the lambda and rho parts need some updating. The sacsarlm function does not store the results printed by its summary method in any object, so you are rightly pointing out that any attempts using str do not appear to show the true p-values etc.
Therefore it makes sense to take a look at what the print.summary.sarlm function in the spdep package actually does when it prints the summary. I found the code for this function in the file R/summary.spsarlm.R in the source code of the package on CRAN. It looks like this:
print.summary.sarlm <- function(x, digits = max(5, .Options$digits - 3),
signif.stars = FALSE, ...)
{
cat("\nCall:", deparse(x$call), sep = "", fill=TRUE)
if (x$type == "error") if (isTRUE(all.equal(x$lambda, x$interval[1])) ||
isTRUE(all.equal(x$lambda, x$interval[2])))
warning("lambda on interval bound - results should not be used")
if (x$type == "lag" || x$type == "mixed")
if (isTRUE(all.equal(x$rho, x$interval[1])) ||
isTRUE(all.equal(x$rho, x$interval[2])))
warning("rho on interval bound - results should not be used")
cat("\nResiduals:\n")
resid <- residuals(x)
nam <- c("Min", "1Q", "Median", "3Q", "Max")
rq <- if (length(dim(resid)) == 2L)
structure(apply(t(resid), 1, quantile), dimnames = list(nam,
dimnames(resid)[[2]]))
else structure(quantile(resid), names = nam)
print(rq, digits = digits, ...)
cat("\nType:", x$type, "\n")
if (x$zero.policy) {
zero.regs <- attr(x, "zero.regs")
if (!is.null(zero.regs))
cat("Regions with no neighbours included:\n",
zero.regs, "\n")
}
if (!is.null(x$coeftitle)) {
cat("Coefficients:", x$coeftitle, "\n")
coefs <- x$Coef
if (!is.null(aliased <- x$aliased) && any(x$aliased)){
cat(" (", table(aliased)["TRUE"],
" not defined because of singularities)\n", sep = "")
cn <- names(aliased)
coefs <- matrix(NA, length(aliased), 4, dimnames = list(cn,
colnames(x$Coef)))
coefs[!aliased, ] <- x$Coef
}
printCoefmat(coefs, signif.stars=signif.stars, digits=digits,
na.print="NA")
}
# res <- LR.sarlm(x, x$lm.model)
res <- x$LR1
pref <- ifelse(x$ase, "Asymptotic", "Approximate (numerical Hessian)")
if (x$type == "error") {
cat("\nLambda: ", format(signif(x$lambda, digits)),
", LR test value: ", format(signif(res$statistic,
digits)), ", p-value: ", format.pval(res$p.value,
digits), "\n", sep="")
if (!is.null(x$lambda.se)) {
if (!is.null(x$adj.se)) {
x$lambda.se <- sqrt((x$lambda.se^2)*x$adj.se)
}
cat(pref, " standard error: ",
format(signif(x$lambda.se, digits)),
ifelse(is.null(x$adj.se), "\n z-value: ",
"\n t-value: "), format(signif((x$lambda/
x$lambda.se), digits)),
", p-value: ", format.pval(2*(1-pnorm(abs(x$lambda/
x$lambda.se))), digits), "\n", sep="")
cat("Wald statistic: ", format(signif(x$Wald1$statistic,
digits)), ", p-value: ", format.pval(x$Wald1$p.value,
digits), "\n", sep="")
}
} else if (x$type == "sac" || x$type == "sacmixed") {
cat("\nRho: ", format(signif(x$rho, digits)), "\n",
sep="")
if (!is.null(x$rho.se)) {
if (!is.null(x$adj.se)) {
x$rho.se <- sqrt((x$rho.se^2)*x$adj.se)
}
cat(pref, " standard error: ",
format(signif(x$rho.se, digits)),
ifelse(is.null(x$adj.se), "\n z-value: ",
"\n t-value: "),
format(signif((x$rho/x$rho.se), digits)),
", p-value: ", format.pval(2 * (1 - pnorm(abs(x$rho/
x$rho.se))), digits), "\n", sep="")
}
cat("Lambda: ", format(signif(x$lambda, digits)), "\n", sep="")
if (!is.null(x$lambda.se)) {
pref <- ifelse(x$ase, "Asymptotic",
"Approximate (numerical Hessian)")
if (!is.null(x$adj.se)) {
x$lambda.se <- sqrt((x$lambda.se^2)*x$adj.se)
}
cat(pref, " standard error: ",
format(signif(x$lambda.se, digits)),
ifelse(is.null(x$adj.se), "\n z-value: ",
"\n t-value: "), format(signif((x$lambda/
x$lambda.se), digits)),
", p-value: ", format.pval(2*(1-pnorm(abs(x$lambda/
x$lambda.se))), digits), "\n", sep="")
}
cat("\nLR test value: ", format(signif(res$statistic, digits)),
", p-value: ", format.pval(res$p.value, digits), "\n",
sep="")
} else {
cat("\nRho: ", format(signif(x$rho, digits)),
", LR test value: ", format(signif(res$statistic, digits)),
", p-value: ", format.pval(res$p.value, digits), "\n",
sep="")
if (!is.null(x$rho.se)) {
if (!is.null(x$adj.se)) {
x$rho.se <- sqrt((x$rho.se^2)*x$adj.se)
}
cat(pref, " standard error: ",
format(signif(x$rho.se, digits)),
ifelse(is.null(x$adj.se), "\n z-value: ",
"\n t-value: "),
format(signif((x$rho/x$rho.se), digits)),
", p-value: ", format.pval(2 * (1 - pnorm(abs(x$rho/
x$rho.se))), digits), "\n", sep="")
}
if (!is.null(x$Wald1)) {
cat("Wald statistic: ", format(signif(x$Wald1$statistic,
digits)), ", p-value: ", format.pval(x$Wald1$p.value,
digits), "\n", sep="")
}
}
cat("\nLog likelihood:", logLik(x), "for", x$type, "model\n")
cat("ML residual variance (sigma squared): ",
format(signif(x$s2, digits)), ", (sigma: ",
format(signif(sqrt(x$s2), digits)), ")\n", sep="")
if (!is.null(x$NK)) cat("Nagelkerke pseudo-R-squared:",
format(signif(x$NK, digits)), "\n")
cat("Number of observations:", length(x$residuals), "\n")
cat("Number of parameters estimated:", x$parameters, "\n")
cat("AIC: ", format(signif(AIC(x), digits)), ", (AIC for lm: ",
format(signif(x$AIC_lm.model, digits)), ")\n", sep="")
if (x$type == "error") {
if (!is.null(x$Haus)) {
cat("Hausman test: ", format(signif(x$Haus$statistic,
digits)), ", df: ", format(x$Haus$parameter),
", p-value: ", format.pval(x$Haus$p.value, digits),
"\n", sep="")
}
}
if ((x$type == "lag" || x$type == "mixed") && x$ase) {
cat("LM test for residual autocorrelation\n")
cat("test value: ", format(signif(x$LMtest, digits)),
", p-value: ", format.pval((1 - pchisq(x$LMtest, 1)),
digits), "\n", sep="")
}
if (x$type != "error" && !is.null(x$LLCoef)) {
cat("\nCoefficients: (log likelihood/likelihood ratio)\n")
printCoefmat(x$LLCoef, signif.stars=signif.stars,
digits=digits, na.print="NA")
}
correl <- x$correlation
if (!is.null(correl)) {
p <- NCOL(correl)
if (p > 1) {
cat("\n", x$correltext, "\n")
correl <- format(round(correl, 2), nsmall = 2,
digits = digits)
correl[!lower.tri(correl)] <- ""
print(correl[-1, -p, drop = FALSE], quote = FALSE)
}
}
cat("\n")
invisible(x)
}
You can see there that the function first distinguishes between different sub-models (error vs. sac/sacmixed vs. else), then decides which standard errors to use, and then computes the p-values on the fly without saving them anywhere.
So this is what we need to do as well in our extract method in order to get the same result as the summary method in the spdep package. We also need to move this from the GOF block up to the coefficient block of the table (see comments section below for a discussion). Here is my attempt at adopting their approach in the extract method:
# extension for sarlm objects (spdep package)
extract.sarlm <- function(model, include.nobs = TRUE, include.loglik = TRUE,
include.aic = TRUE, include.lr = TRUE, include.wald = TRUE, ...) {
s <- summary(model, ...)
names <- rownames(s$Coef)
cf <- s$Coef[, 1]
se <- s$Coef[, 2]
p <- s$Coef[, ncol(s$Coef)]
if (model$type != "error") { # include coefficient for autocorrelation term
rho <- model$rho
cf <- c(cf, rho)
names <- c(names, "$\\rho$")
if (!is.null(model$rho.se)) {
if (!is.null(model$adj.se)) {
rho.se <- sqrt((model$rho.se^2) * model$adj.se)
} else {
rho.se <- model$rho.se
}
rho.pval <- 2 * (1 - pnorm(abs(rho / rho.se)))
se <- c(se, rho.se)
p <- c(p, rho.pval)
} else {
se <- c(se, NA)
p <- c(p, NA)
}
}
if (!is.null(model$lambda)) {
cf <-c(cf, model$lambda)
names <- c(names, "$\\lambda$")
if (!is.null(model$lambda.se)) {
if (!is.null(model$adj.se)) {
lambda.se <- sqrt((model$lambda.se^2) * model$adj.se)
} else {
lambda.se <- model$lambda.se
}
lambda.pval <- 2 * (1 - pnorm(abs(model$lambda / lambda.se)))
se <- c(se, lambda.se)
p <- c(p, lambda.pval)
} else {
se <- c(se, NA)
p <- c(p, NA)
}
}
gof <- numeric()
gof.names <- character()
gof.decimal <- logical()
if (include.nobs == TRUE) {
n <- length(s$fitted.values)
param <- s$parameters
gof <- c(gof, n, param)
gof.names <- c(gof.names, "Num.\ obs.", "Parameters")
gof.decimal <- c(gof.decimal, FALSE, FALSE)
}
if (include.loglik == TRUE) {
ll <- s$LL
gof <- c(gof, ll)
gof.names <- c(gof.names, "Log Likelihood")
gof.decimal <- c(gof.decimal, TRUE)
}
if (include.aic == TRUE) {
aic <- AIC(model)
aiclm <- s$AIC_lm.model
gof <- c(gof, aiclm, aic)
gof.names <- c(gof.names, "AIC (Linear model)", "AIC (Spatial model)")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
if (include.lr == TRUE && !is.null(s$LR1)) {
gof <- c(gof, s$LR1$statistic[[1]], s$LR1$p.value[[1]])
gof.names <- c(gof.names, "LR test: statistic", "LR test: p-value")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
if (include.wald == TRUE && !is.null(model$Wald1)) {
waldstat <- model$Wald1$statistic
waldp <- model$Wald1$p.value
gof <- c(gof, waldstat, waldp)
gof.names <- c(gof.names, "Wald test: statistic", "Wald test: p-value")
gof.decimal <- c(gof.decimal, TRUE, TRUE)
}
tr <- createTexreg(
coef.names = names,
coef = cf,
se = se,
pvalues = p,
gof.names = gof.names,
gof = gof,
gof.decimal = gof.decimal
)
return(tr)
}
setMethod("extract", signature = className("sarlm", "spdep"),
definition = extract.sarlm)
You can just execute this code at run-time to update the way texreg handles these objects. Please do let me know if you still think there are any glitches I haven't spotted. If none are reported in the comments, I will include this updated extract method in the next texreg release.
With these changes, calling screenreg(model, single.row = TRUE) yields the following output:
=======================================
Model 1
---------------------------------------
(Intercept) 0.91 (0.66)
X -0.00 (0.10)
lag.(Intercept) -0.03 (0.02)
lag.X 0.90 (0.02) ***
rho -0.00 (0.01)
lambda -0.02 (0.02)
---------------------------------------
Num. obs. 100
Parameters 7
Log Likelihood -145.44
AIC (Linear model) 585.63
AIC (Spatial model) 304.88
LR test: statistic 288.74
LR test: p-value 0.00
=======================================
*** p < 0.001, ** p < 0.01, * p < 0.05
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