Nothing
###################################################
### code chunk: Chap6init
###################################################
options(width=65, digits=5, show.signif.stars = FALSE)
date()
packageVersion("nlmeU")
packageVersion("nlme")
sessionInfo()
data(armd, package = "nlmeU")
###################################################
### code chunk: R6.1
###################################################
lm1.form <- # Fixed effects formula:(6.1)
formula(visual ~ -1 + visual0 + time.f + treat.f:time.f )
vis.lm1.mf <- model.frame(lm1.form, armd) # Model frame
vis.lm1.dm <- model.matrix(lm1.form, vis.lm1.mf) # Design matrix X
dim(vis.lm1.dm) # Dimensions
(nms <- colnames(vis.lm1.dm)) # Long column names ...
nms <- abbreviate(nms) # ... abbreviated
colnames(vis.lm1.dm) <- nms # ... assigned.
head(vis.lm1.dm, n = 6) # X matrix. Six rows.
attr(vis.lm1.dm, "contrasts") # Contrasts attribute.
contrasts(armd$treat.f) # Contrasts for treat.f
###################################################
### code chunk: R6.2a
###################################################
lm6.1 <- lm(lm1.form, data = armd) # M6.1:(6.1)
summ <- summary(lm6.1) # Summary
tT <- coef(summ) # beta, se, t-test
rownames(tT) # Fixed effects (beta) names
rownames(tT) <- abbreviate(rownames(tT)) # Abbreviated beta names
printCoefmat(tT, P.values = TRUE)
summ$sigma # sigma
###################################################
### code chunk: R6.2b
###################################################
anova(lm6.1) # ANOVA table
###################################################
### code chunk: Simple syntax for Fig. 6.1a
### Traditional graphics
###################################################
plot(fitted(lm6.1), resid(lm6.1)) # Fig. 6.1a
abline(h = seq(-40, 40, by = 20), col = "grey")
abline(v = seq( 10, 80, by = 10), col = "grey")
###################################################
### code chunk: Elaborated syntax for Fig. 6.1a
### Traditional graphics
###################################################
ylim <- c(-50,50)
plot(fitted(lm6.1), resid(lm6.1),
ylim = ylim, type = "n", axes = FALSE, cex.lab = 0.9,
ylab = "Residuals",
xlab = "Fitted values"
)
abline(h = seq(-40,40, by = 20), col = "grey")
abline(v = seq(10, 80, by = 10), col = "grey")
points(fitted(lm6.1), resid(lm6.1))
axis(1, cex.axis = 0.9)
axis(2, cex.axis = 0.9)
box()
###################################################
### code chunk: Simple syntax for Fig. 6.1b
### Traditional graphics
###################################################
qqnorm(resid(lm6.1)); qqline(resid(lm6.1)) # Fig. 6.1b
###################################################
### code chunk: Elaborated syntax for Fig. 6.1b
### Traditional graphics
###################################################
qnDt <- qqnorm(resid(lm6.1),
plot.it = FALSE
)
plot(qnDt,
type = "n",
ylim = c(-50, 50), # c(-3.8,3.8), c(-50,50),
xlim = c(-3.8,3.8), # c(-50,50),
main = "", # Normal Q-Q Plot
ylab = "Sample Quantiles",
xlab = "Theoretical Quantiles",
axes = FALSE
)
abline(h = seq(-40, 40, by = 20), col = "grey")
abline(v = -3:3, col = "grey")
qqline(resid(lm6.1))
points(qnDt)
axis(1, cex.axis = 0.9)
axis(2, cex.axis = 0.9)
box()
###################################################
### code chunk: R6.3
###################################################
require(nlme) # Attach nlme package
fm6.1 <- gls(lm1.form, # M6.1:(6.1)
data = armd)
intervals(fm6.1) # 95% CI for beta, sigma
###################################################
### code chunk: Syntax for Fig. 6.1
###################################################
plot(predict(fm6.1), residuals(fm6.1)) # Same as Fig. 6.1a
qqnorm(residuals(fm6.1)) # Same as Fig. 6.1b
qqline(residuals(fm6.1))
### sessionInfo()
sessionInfo()
detach(package:nlme)
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