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help: fgtest                                                        dialog: fgt
> est
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+-------+ ----+ 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).