statsmodels.genmod.generalized_estimating_equations.GEEResults

class statsmodels.genmod.generalized_estimating_equations.GEEResults(model, params, cov_params, scale, cov_type='robust', use_t=False, regularized=False, **kwds)[source]

This class summarizes the fit of a marginal regression model using GEE.

Attributes
cov_params_defaultndarray

default covariance of the parameter estimates. Is chosen among one of the following three based on cov_type

cov_robustndarray

covariance of the parameter estimates that is robust

cov_naivendarray

covariance of the parameter estimates that is not robust to correlation or variance misspecification

cov_robust_bcndarray

covariance of the parameter estimates that is robust and bias reduced

convergedbool

indicator for convergence of the optimization. True if the norm of the score is smaller than a threshold

cov_typestr

string indicating whether a “robust”, “naive” or “bias_reduced” covariance is used as default

fit_historydict

Contains information about the iterations.

fittedvaluesndarray

Linear predicted values for the fitted model. dot(exog, params)

modelclass instance

Pointer to GEE model instance that called fit.

normalized_cov_paramsndarray

See specific model class docstring

paramsndarray

The coefficients of the fitted model. Note that interpretation of the coefficients often depends on the distribution family and the data.

scalefloat

The estimate of the scale / dispersion for the model fit. See GEE.fit for more information.

score_normfloat

norm of the score at the end of the iterative estimation.

bsendarray

The standard errors of the fitted GEE parameters.

Methods

conf_int([alpha, cols, cov_type])

Returns confidence intervals for the fitted parameters.

cov_params([r_matrix, column, scale, cov_p, ...])

Compute the variance/covariance matrix.

f_test(r_matrix[, cov_p, invcov])

Compute the F-test for a joint linear hypothesis.

get_hat_matrix_diag([observed])

Compute the diagonal of the hat matrix

get_influence([observed])

Get an instance of GLMInfluence with influence and outlier measures

get_margeff([at, method, atexog, dummy, count])

Get marginal effects of the fitted model.

get_prediction([exog, exposure, offset, ...])

compute prediction results

info_criteria(crit[, scale, dk_params])

Return an information criterion for the model.

initialize(model, params, **kwargs)

Initialize (possibly re-initialize) a Results instance.

llf_scaled([scale])

Return the log-likelihood at the given scale, using the estimated scale if the provided scale is None.

load(fname)

Load a pickled results instance

normalized_cov_params()

See specific model class docstring

params_sensitivity(dep_params_first, ...)

Refits the GEE model using a sequence of values for the dependence parameters.

plot_added_variable(focus_exog[, ...])

Create an added variable plot for a fitted regression model.

plot_ceres_residuals(focus_exog[, frac, ...])

Conditional Expectation Partial Residuals (CERES) plot.

plot_isotropic_dependence([ax, xpoints, min_n])

Create a plot of the pairwise products of within-group residuals against the corresponding time differences.

plot_partial_residuals(focus_exog[, ax])

Create a partial residual, or 'component plus residual' plot for a fitted regression model.

predict([exog, transform])

Call self.model.predict with self.params as the first argument.

pseudo_rsquared([kind])

Pseudo R-squared

qic([scale, n_step])

Returns the QIC and QICu information criteria.

remove_data()

Remove data arrays, all nobs arrays from result and model.

save(fname[, remove_data])

Save a pickle of this instance.

score_test()

Return the results of a score test for a linear constraint.

sensitivity_params(dep_params_first, ...)

Refits the GEE model using a sequence of values for the dependence parameters.

standard_errors([cov_type])

This is a convenience function that returns the standard errors for any covariance type.

summary([yname, xname, title, alpha])

Summarize the GEE regression results

summary2([yname, xname, title, alpha, ...])

Experimental summary for regression Results

t_test(r_matrix[, cov_p, use_t])

Compute a t-test for a each linear hypothesis of the form Rb = q.

t_test_pairwise(term_name[, method, alpha, ...])

Perform pairwise t_test with multiple testing corrected p-values.

wald_test(r_matrix[, cov_p, invcov, use_f, ...])

Compute a Wald-test for a joint linear hypothesis.

wald_test_terms([skip_single, ...])

Compute a sequence of Wald tests for terms over multiple columns.

Properties

aic

Akaike Information Criterion -2 * llf + 2 * (df_model + 1)

bic

Bayes Information Criterion

bic_deviance

Bayes Information Criterion

bic_llf

Bayes Information Criterion

bse

centered_resid

Returns the residuals centered within each group.

deviance

See statsmodels.families.family for the distribution-specific deviance functions.

fittedvalues

The estimated mean response.

llf

Value of the loglikelihood function evalued at params.

llnull

Log-likelihood of the model fit with a constant as the only regressor

mu

See GLM docstring.

null

Fitted values of the null model

null_deviance

The value of the deviance function for the model fit with a constant as the only regressor.

pearson_chi2

Pearson's Chi-Squared statistic is defined as the sum of the squares of the Pearson residuals.

pvalues

The two-tailed p values for the t-stats of the params.

resid

The response residuals.

resid_anscombe

Anscombe residuals.

resid_anscombe_scaled

Scaled Anscombe residuals.

resid_anscombe_unscaled

Unscaled Anscombe residuals.

resid_centered

Returns the residuals centered within each group.

resid_centered_split

Returns the residuals centered within each group.

resid_deviance

Deviance residuals.

resid_pearson

Pearson residuals.

resid_response

Response residuals.

resid_split

Returns the residuals, the endogeneous data minus the fitted values from the model.

resid_working

Working residuals.

split_centered_resid

Returns the residuals centered within each group.

split_resid

Returns the residuals, the endogeneous data minus the fitted values from the model.

tvalues

Return the t-statistic for a given parameter estimate.

use_t

Flag indicating to use the Student's distribution in inference.