| lm.summaries {base} | R Documentation |
All these functions are methods for class lm or
summary.lm objects.
summary(object, correlation = FALSE)
coefficients(object, ...) ; coef(object, ...)
df.residual(object, ...)
family(object, ...)
formula(x, ...)
fitted.values(object, ...)
residuals(object,
type=c("working","response", "deviance","pearson", "partial"), ...)
weights(object, ...)
print(summary.lm.obj, digits = max(3, getOption("digits") - 3),
symbolic.cor = p > 4,
signif.stars= getOption("show.signif.stars"), ...)
object, x |
an object of class lm, usually, a result of a
call to lm. |
print.summary.lm tries to be smart about formatting the
coefficients, standard errors, etc. and additionally gives
``significance stars'' if signif.stars is TRUE.
The generic accessor functions coefficients, effects,
fitted.values and residuals can be used to extract
various useful features of the value returned by lm.
The function summary.lm computes and returns a list of summary
statistics of the fitted linear model given in lm.obj, using
the components (list elements) "call" and "terms"
from its argument, plus
residuals |
the weighted residuals, the usual residuals
rescaled by the square root of the weights specified in the call to
lm. |
coefficients |
a p x 4 matrix with columns for the estimated coefficient, its standard error, t-statistic and corresponding (two-sided) p-value. |
sigma |
the square root of the estimated variance of the random
error
sigma^2 = 1/(n-p) Sum(R[i]^2),
where R[i] is the i-th residual, |
df |
degrees of freedom, a 3-vector (p, n-p, p*). |
fstatistic |
a 3-vector with the value of the F-statistic with its numerator and denominator degrees of freedom. |
r.squared |
R^2, the ``fraction of variance explained by
the model'',
R^2 = 1 - Sum(R[i]^2) / Sum((y[i]- y*)^2), where y* is the mean of y[i] if there is an intercept and zero otherwise. |
adj.r.squared |
the above R^2 statistic ``adjusted'', penalizing for higher p. |
cov.unscaled |
a p x p matrix of (unscaled) covariances of the coef[j], j=1, ..., p. |
correlation |
the correlation matrix corresponding to the above
cov.unscaled, if correlation = TRUE is specified. |
The model fitting function lm, anova.lm.
coefficients, deviance,
effects, fitted.values,
glm for generalized linear models,
lm.influence for regression diagnostics,
weighted.residuals,
residuals, residuals.glm,
summary.
##-- Continuing the lm(.) example: coef(lm.D90)# the bare coefficients sld90 <- summary(lm.D90 <- lm(weight ~ group -1))# omitting intercept sld90 coef(sld90)# much more ## The 2 basic regression diagnostic plots [plot.lm(.) is preferred] plot(resid(lm.D90), fitted(lm.D90))# Tukey-Anscombe's abline(h=0, lty=2, col = 'gray') qqnorm(residuals(lm.D90))