Nothing
# A. Input data
library(erer); data(daIns)
in.data <- daIns
in.name.y <- "Y"
in.name.x <- colnames(daIns)[-c(1, 14)]; in.name.x
# B1. Raw data transformation
var.y <- in.data[, in.name.y, drop = FALSE]
var.x <- cbind(Intercept = 1, in.data[, in.name.x])
y <- as.matrix(var.y)
x <- as.matrix(var.x)
# B2. Compute coefficients, fitted value, residuals
coeff <- solve(t(x) %*% x) %*% t(x) %*% y
fitted <- x %*% coeff
resid <- y - fitted
# B3. Compute sigma, variance, t value, p value
sigma2 <- crossprod(resid) / (nrow(x) - nrow(coeff))
sigma <- sqrt(sigma2)
covar <- c(sigma2) * solve(crossprod(x))
error <- matrix(data = diag(covar) ^ 0.5, ncol = 1)
tvalu <- coeff / error
pvalu <- 2 * pt(abs(tvalu), df = nrow(x) - ncol(x), lower.tail = FALSE)
# C. Outputs
out <- cbind(round(x = coeff, digits = 7), round(x = error, digits = 7),
round(x = tvalu, digits = 3), round(x = pvalu, digits = 6))
colnames(out) <- c("Estimate", "Std. Error", "t value", "Pr(>|t|)")
sigma
out
# D. Comparison with 'lm'
gg <- lm(formula = Y ~ 1 + Injury + HuntYrs + Nonres + Lspman + Lnong +
Gender + Age + Race + Marital + Edu + Inc + TownPop, data = daIns)
summary(gg)$r.squared; summary(gg)$sigma
summary(gg)
Any scripts or data that you put into this service are public.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.