summary.gjrm {GJRM}

gjrm summary

Description

It takes a fitted gjrm object and produces some summaries from it.

Usage

## S3 method for class 'gjrm'
summary(object, n.sim = 100, prob.lev = 0.05, ...)
   


## S3 method for class 'summary.gjrm'
print(x, digits = max(3, getOption("digits") - 3), 
           signif.stars = getOption("show.signif.stars"), ...)
 

Arguments

object

A fitted gjrm object.

x

summary.gjrm object produced by summary.gjrm().

n.sim

The number of simulated coefficient vectors from the posterior distribution of the estimated model parameters. This is used to calculate intervals for the association parameter, dispersion coefficient etc. It may be increased if more precision is required.

prob.lev

Probability of the left and right tails of the posterior distribution used for interval calculations.

digits

Number of digits printed in output.

signif.stars

By default significance stars are printed alongside output.

...

Other arguments.

Details

print.summary.gjrm prints model term summaries.

Value

tableP1

Table containing parametric estimates, their standard errors, z-values and p-values for equation 1.

tableP2, tableP3, ...

As above but for equation 2 and equations 3 and 4 if present.

tableNP1

Table of nonparametric summaries for each smooth component including effective degrees of freedom, estimated rank, approximate Wald statistic for testing the null hypothesis that the smooth term is zero and corresponding p-value, for equation 1.

tableNP2, tableNP3, ...

As above but for equation 2 and equations 3 and 4 if present.

n

Sample size.

theta

Estimated dependence parameter linking the two equations.

tau

Estimated Kendall's tau dependence measure between the two equations.

sigma1, sigma2

Estimated distribution specific parameters for equations 1 and 2.

nu1, nu2

Estimated distribution specific parameters for equations 1 and 2.

formula1, formula2, formula3, ...

Formulas used for the model equations.

l.sp1, l.sp2, l.sp3, ...

Number of smooth components in model equations.

t.edf

Total degrees of freedom of the estimated bivariate model.

CItheta, CItau

Interval(s) for \theta and Kendall's tau.

CIsig1, CIsig2, CInu1, CInu2

Intervals for distribution specific parameters

WARNINGS

Note that the summary output will also indeed provide the Kendall's tau and related interval. This is a valid measure of dependence for continuous margins but it may not for discrete margins, for instance. However, it is still displayed for the sake of keeping the printed output consistent with that of other models in the package. Also, it still provides an approximate measure of dependence under certan scenarios.

Author(s)

Maintainer: Giampiero Marra [e-mail]