+-------+ ----+ Title +------------------------------------------------------------
theilr2: Theil R2 Multicollinearity Effect"
+-------------------+ ----+ Table of Contents +------------------------------------------------
Syntax Options Description Saved Results References
*** Examples
Author
+--------+ ----+ Syntax +-----------------------------------------------------------
theilr2 depvar indepvars [if] [in] [weight] , [ noconstant ]
+---------+ ----+ Options +----------------------------------------------------------
options Description -------------------------------------------------------------------------
noconstant suppress constant term
+-------------+ ----+ Description +------------------------------------------------------
theilr2 computes Theil R2 Multicollinearity Effect, and Determinant of |X'X| more details in: [Theil(1971, p.179)], [Judge, et al(1988, p.870-872)]
+---------------+ ----+ Saved Results +----------------------------------------------------
theilr2 saves the following in e():
e(r2t) Theil R2 Multicollinearity Effect e(dcor) Determinant of |X'X|
+------------+ ----+ References +-------------------------------------------------------
Judge, Georege, R. Carter Hill, William . E. Griffiths, Helmut Lutkepohl, & Tsoung-Chao Lee (1988) "Introduction To The Theory And Practice Of Econometrics", 2nd ed., John Wiley & Sons, Inc., New York, USA; 870-872.
Theil, Henri (1971) "Principles of Econometrics", John Wiley & Sons, Inc., New York, USA.
+----------+ ----+ Examples +---------------------------------------------------------
(1) Example of Theil R2 Multicollinearity Effect in: [Judge, et al(1988, p.872)], for Klein-Goldberger data.
clear all
sysuse theilr2.dta, clear
theilr2 y x1 x2 x3
. theilr2 y x1 x2 x3 ----------------------------------------------------------------- * Theil R2 Multicollinearity Effect R2 = 0 No Multicollinearity - R2 = 1 Multicollinearity
- Theil R2: (0 < 0.8412 < 1) -----------------------------------------------------------------
* Determinant of |X'X|: |X'X| = 1 No Multicollinearity - |X'X| = 0 Multicollinearity
Determinant of |X'X|: (0 < 0.0779 < 1) -----------------------------------------------------------------
+--------+ ----+ 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
+------------------+ ----+ theilr2 Citation +-------------------------------------------------
Shehata, Emad Abd Elmessih (2012) THEILR2: "Stata Module to Compute Theil R2 Multicollinearity Effect"
Also see
Online: theilr2, ridgereg, (if installed).