summary
method for class "nls"
.
# S3 method for nls
summary(object, correlation = FALSE, symbolic.cor = FALSE, …)# S3 method for summary.nls
print(x, digits = max(3, getOption("digits") - 3),
symbolic.cor = x$symbolic.cor,
signif.stars = getOption("show.signif.stars"), …)
an object of class "nls"
.
an object of class "summary.nls"
, usually the result of a
call to summary.nls
.
logical; if TRUE
, the correlation matrix of
the estimated parameters is returned and printed.
the number of significant digits to use when printing.
logical. If TRUE
, print the correlations in
a symbolic form (see symnum
) rather than as numbers.
logical. If TRUE
, ‘significance stars’
are printed for each coefficient.
further arguments passed to or from other methods.
The function summary.nls
computes and returns a list of summary
statistics of the fitted model given in object
, using
the component "formula"
from its argument, plus
the weighted residuals, the usual residuals
rescaled by the square root of the weights specified in the call to
nls
.
a \(p \times 4\) matrix with columns for the estimated coefficient, its standard error, t-statistic and corresponding (two-sided) p-value.
the square root of the estimated variance of the random error $$\hat\sigma^2 = \frac{1}{n-p}\sum_i{R_i^2},$$ where \(R_i\) is the \(i\)-th weighted residual.
degrees of freedom, a 2-vector \((p, n-p)\). (Here and elsewhere \(n\) omits observations with zero weights.)
a \(p \times p\) matrix of (unscaled) covariances of the parameter estimates.
the correlation matrix corresponding to the above
cov.unscaled
, if correlation = TRUE
is specified and
there are a non-zero number of residual degrees of freedom.
(only if correlation
is true.) The value
of the argument symbolic.cor
.
The distribution theory used to find the distribution of the standard errors and of the residual standard error (for t ratios) is based on linearization and is approximate, maybe very approximate.
print.summary.nls
tries to be smart about formatting the
coefficients, standard errors, etc. and additionally gives
‘significance stars’ if signif.stars
is TRUE
.
Correlations are printed to two decimal places (or symbolically): to
see the actual correlations print summary(object)$correlation
directly.
The model fitting function nls
, summary
.
Function coef
will extract the matrix of coefficients
with standard errors, t-statistics and p-values.