summary.metafrontier: Summary of a Metafrontier Model

In metafrontier: Analysis of Metafrontier Models for Efficiency and Productivity

Summary of a Metafrontier Model

Description

Computes group-level summaries of technical efficiency (TE), technology gap ratio (TGR), and metafrontier efficiency (TE*), full coefficient tables for each group frontier (including variance parameters and, for BC92 panels, eta, all with standard errors where a Hessian is available), the metafrontier coefficient table (with Murphy-Topel corrected standard errors where applicable), and a per-stage convergence table.

Usage

## S3 method for class 'metafrontier'
summary(object, ...)

Arguments

object	a "metafrontier" object.
...	additional arguments (currently unused).

Value

An object of class "summary.metafrontier": a list with components

call

the matched call of the original fit

method

estimation method ("sfa" or "dea")

meta_type

metafrontier type ("deterministic" or "stochastic")

groups

character vector of group labels

nobs

named vector of observation counts (total and per group)

group_tables

named list of coefficient matrices, one per group, with columns Estimate, Std. Error, z value, and Pr(>|z|) where standard errors are available (empty list for DEA fits)

meta_table

metafrontier coefficient matrix in the same format, or NULL for DEA fits

tgr_summary

data frame of TGR statistics by group, as returned by tgr_summary

efficiency_summary

data frame with mean TE, mean TGR, and mean TE* by group

logLik_groups

named vector of group log-likelihoods, or NULL

meta_logLik

Stage 2 log-likelihood of the stochastic metafrontier, or NULL

convergence

data frame with columns stage, code, and converged recording the optimiser status of each estimation stage, or NULL if unavailable; see check_convergence

Examples

sim <- simulate_metafrontier(n_groups = 2, n_per_group = 50, seed = 42)
fit <- metafrontier(log_y ~ log_x1 + log_x2, data = sim$data,
                    group = "group", meta_type = "stochastic")
s <- summary(fit)
print(s)

metafrontier documentation built on Aug. 19, 2026, 5:08 p.m.