+-------+ ----+ Title +------------------------------------------------------------
fgtest: Farrar-Glauber Multicollinearity Tests"
+-------------------+ ----+ Table of Contents +------------------------------------------------
Syntax Options Description Saved Results References
*** Examples
Author
+--------+ ----+ Syntax +-----------------------------------------------------------
fgtest depvar indepvars [if] [in] [weight] , [ noconstant ]
+---------+ ----+ Options +----------------------------------------------------------
options Description -------------------------------------------------------------------------
noconstant suppress constant term
+-------------+ ----+ Description +------------------------------------------------------
fgtest computes Farrar-Glauber Multicollinearity tests * Farrar-Glauber Multicollinearity Chi2-Test * Farrar-Glauber Multicollinearity F-Test * Farrar-Glauber Multicollinearity t-Test
more details can be found in Mitsaki(2011)
+---------------+ ----+ Saved Results +----------------------------------------------------
fgtest saves the following in e():
scalars: e(fgchi) Farrar-Glauber Multicollinearity Chi2-Test
matrixes: e(fgf) Farrar-Glauber Multicollinearity F-Test e(fgt) Farrar-Glauber Multicollinearity t-Test
+------------+ ----+ References +-------------------------------------------------------
Evagelia, Mitsaki (2011) "Ridge Regression Analysis of Collinear Data", http://www.stat-athens.aueb.gr/~jpan/diatrives/Mitsaki/chapter2.pdf
Farrar, D. and Glauber, R. (1976) "Multicollinearity in Regression Analysis: the Problem Revisited", Review of Economics and Statistics, 49; 92-107.
+----------+ ----+ Examples +---------------------------------------------------------
Example of Farrar-Glauber Multicollinearity Chi2, F, t Tests is decribed in:[Evagelia(2011, chap.2, p.23)].
clear all
sysuse fgtest.dta, clear
fgtest y x1 x2 x3 x4 x5 x6
. fgtest y x1 x2 x3 x4 x5 x6
====================================================================== * Farrar-Glauber Multicollinearity Tests ====================================================================== Ho: No Multicollinearity - Ha: Multicollinearity
* (1) Farrar-Glauber Multicollinearity Chi2-Test: Chi2 Test = 218.5559 P-Value > Chi2(15) 0.0000
* (2) Farrar-Glauber Multicollinearity F-Test: +--------------------------------------------------------+ | Variable | F_Test | DF1 | DF2 | P_Value | |------------+----------+----------+----------+----------| | x1 | 269.064 | 10.000 | 5.000 | 0.000 | | x2 | 3574.850 | 10.000 | 5.000 | 0.000 | | x3 | 65.238 | 10.000 | 5.000 | 0.000 | | x4 | 5.178 | 10.000 | 5.000 | 0.042 | | x5 | 796.307 | 10.000 | 5.000 | 0.000 | | x6 | 1515.957 | 10.000 | 5.000 | 0.000 | +--------------------------------------------------------+
* (3) Farrar-Glauber Multicollinearity t-Test: +----------------------------------------------------------------+ | Variable | x1 | x2 | x3 | x4 | x5 | x6 | |----------+--------+--------+--------+--------+--------+--------| | x1 | . | | | | | | | x2 | 24.228 | . | | | | | | x3 | 2.503 | 2.398 | . | | | | | x4 | 1.660 | 1.578 | -0.570 | . | | | | x5 | 15.248 | 23.530 | 2.986 | 1.237 | . | | | x6 | 23.610 | 32.409 | 2.841 | 1.452 | 28.624 | . | +----------------------------------------------------------------+
+--------+ ----+ Author +-----------------------------------------------------------
Emad Abd Elmessih Shehata Assistant Professor Agricultural Research Center - Agricultural Economics Research Institute - Eg > ypt Email: emadstat@hotmail.com WebPage: http://emadstat.110mb.com/stata.htm WebPage at IDEAS: http://ideas.repec.org/f/psh494.html WebPage at EconPapers: http://econpapers.repec.org/RAS/psh494.htm
+-----------------+ ----+ fgtest Citation +--------------------------------------------------
Shehata, Emad Abd Elmessih (2012) FGTEST: "Stata Module to Compute Farrar-Glauber Multicollinearity Chi2, F, t Tests"
Also see
Online: fgtest, ridgereg, (if installed).