fixest: collinearity – R documentation

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collinearity

Collinearity diagnostics for fixest objects

Description

In some occasions, the optimization algorithm of femlm may fail to converge, or the variance-covariance matrix may not be available. The most common reason of why this happens is colllinearity among variables. This function helps to find out which set of variables is problematic.

Usage

collinearity(x, verbose)

Arguments

`x`	A `fixest` object obtained from, e.g. functions `femlm`, `feols` or `feglm`.
`verbose`	An integer. If higher than or equal to 1, then a note is prompted at each step of the algorithm. By default `verbose = 0` for small problems and to 1 for large problems.

Details

This function tests: 1) collinearity with the fixed-effect variables, 2) perfect multi-collinearity between the variables, 4) perfect multi-collinearity between several variables and the fixed-effects, and 4) identification issues when there are non-linear in parameters parts.

Value

It returns a text message with the identified diagnostics.

Author(s)

Laurent Berge

Examples

# Creating an example data base:
set.seed(1)
fe_1 = sample(3, 100, TRUE)
fe_2 = sample(20, 100, TRUE)
x = rnorm(100, fe_1)**2
y = rnorm(100, fe_2)**2
z = rnorm(100, 3)**2
dep = rpois(100, x*y*z)
base = data.frame(fe_1, fe_2, x, y, z, dep)

# creating collinearity problems:
base$v1 = base$v2 = base$v3 = base$v4 = 0
base$v1[base$fe_1 == 1] = 1
base$v2[base$fe_1 == 2] = 1
base$v3[base$fe_1 == 3] = 1
base$v4[base$fe_2 == 1] = 1

# Estimations:

# Collinearity with the fixed-effects:
res_1 = femlm(dep ~ log(x) + v1 + v2 + v4 | fe_1 + fe_2, base)
collinearity(res_1)

# => collinearity with the first fixed-effect identified, we drop v1 and v2
res_1bis = femlm(dep ~ log(x) + v4 | fe_1 + fe_2, base)
collinearity(res_1bis)

# Multi-Collinearity:
res_2 =  femlm(dep ~ log(x) + v1 + v2 + v3 + v4, base)
collinearity(res_2)

fixest

Fast Fixed-Effects Estimations

v0.10.0

GPL-3

Authors

Laurent Berge [aut, cre], Sebastian Krantz [ctb], Grant McDermott [ctb] (<https://orcid.org/0000-0001-7883-8573>)

Initial release