Extract Standard Errors of Model Coefficients
These functions extract standard errors of model coefficients from objects returned by modeling functions.
se.coef (object, ...) se.fixef (object) se.ranef (object) ## S4 method for signature 'lm' se.coef(object) ## S4 method for signature 'glm' se.coef(object) ## S4 method for signature 'merMod' se.coef(object)
object |
object of |
... |
other arguments |
se.coef
extracts standard errors from objects
returned by modeling functions.
se.fixef
extracts standard errors of the fixed effects
from objects returned by lmer and glmer functions.
se.ranef
extracts standard errors of the random effects
from objects returned by lmer and glmer functions.
se.coef
gives lists of standard errors for coef
,
se.fixef
gives a vector of standard errors for fixef
and
se.ranef
gives a list of standard errors for ranef
.
Andrew Gelman gelman@stat.columbia.edu; Yu-Sung Su suyusung@tsinghua.edu.cn
Andrew Gelman and Jennifer Hill. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press.
# Here's a simple example of a model of the form, y = a + bx + error, # with 10 observations in each of 10 groups, and with both the # intercept and the slope varying by group. First we set up the model and data. group <- rep(1:10, rep(10,10)) mu.a <- 0 sigma.a <- 2 mu.b <- 3 sigma.b <- 4 rho <- 0 Sigma.ab <- array (c(sigma.a^2, rho*sigma.a*sigma.b, rho*sigma.a*sigma.b, sigma.b^2), c(2,2)) sigma.y <- 1 ab <- mvrnorm (10, c(mu.a,mu.b), Sigma.ab) a <- ab[,1] b <- ab[,2] # x <- rnorm (100) y1 <- rnorm (100, a[group] + b[group]*x, sigma.y) y2 <- rbinom(100, 1, prob=invlogit(a[group] + b*x)) # lm fit M1 <- lm (y1 ~ x) se.coef (M1) # glm fit M2 <- glm (y2 ~ x) se.coef (M2) # lmer fit M3 <- lmer (y1 ~ x + (1 + x |group)) se.coef (M3) se.fixef (M3) se.ranef (M3) # glmer fit M4 <- glmer (y2 ~ 1 + (0 + x |group), family=binomial(link="logit")) se.coef (M4) se.fixef (M4) se.ranef (M4)
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