+-------+ ----+ Title +------------------------------------------------------------
lmavon: Von Neumann Ratio Autocorrelation Test at Higher Order AR(p)
+--------+ ----+ Syntax +-----------------------------------------------------------
lmavon depvar indepvars [if] [in] [weight] , [ lags(numlist) noconstant vce(vcetype) ]
+---------+ ----+ Options +----------------------------------------------------------
lags(#) determine Order of Lag Length; default is lag(1).
noconstant suppress constant term
SE/Robust vce(vcetype) vcetype may be ols, robust, cluster clustvar, bootstrap, jackknife, hc2, or hc3
+-------------+ ----+ Description +------------------------------------------------------
lmavon computes Von Neumann Ratio Autocorrelation Test after regress command. lmavon detects autocorrelation at Higher Order AR(p), more than AR(1).
Von Neumann Ratio Test = DW(i)*N/(N-1)
where DW(i) = Durbin-Watson Test = sum((E-`E'[n-i])^2)/sum(E^). N = Number of Observations. Rho_i = Autoregressive Coefficient of Lag i.
+---------------+ ----+ Saved Results +----------------------------------------------------
lmadurh saves the following in r():
Scalars r(rho_#) Rho Value at Order AR(i) r(von_#) Von Neumann Ratio Autocorrelation Test at Order AR(i)
+----------+ ----+ Examples +---------------------------------------------------------
clear all
db lmavon
sysuse lmavon.dta , clear
lmavon y x1 x2 , lags(1)
lmavon y x1 x2 , lags(4)
return list
==================================================== * Von Neumann Ratio Autocorrelation Test * ==================================================== Ho: No Autocorrelation - Ha: Autocorrelation --------------------------------------------------------------------------- * Rho Value for AR(1) = -0.1455 * Von Neumann Ratio Test AR(1) = 2.1447 df: (3 , 17) --------------------------------------------------------------------------- * Rho Value for AR(2) = -0.2231 * Von Neumann Ratio Test AR(2) = 2.1632 df: (3 , 17) --------------------------------------------------------------------------- * Rho Value for AR(3) = 0.1871 * Von Neumann Ratio Test AR(3) = 1.2703 df: (3 , 17) --------------------------------------------------------------------------- * Rho Value for AR(4) = -0.3002 * Von Neumann Ratio Test AR(4) = 2.1391 df: (3 , 17) ---------------------------------------------------------------------------
+------------+ ----+ References +-------------------------------------------------------
Maddala, G. (1992) "Introduction to Econometrics", 2nd ed., Macmillan Publishing Company, New York, USA; 245.
Von, Neumann (1941) "Distribution of the Ratio of the Mean Square Successive Difference to the Variance", Annals Math. Stat., Vol. 12; 367-395.
+--------+ ----+ 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
+-----------------+ ----+ lmavon Citation +--------------------------------------------------
Shehata, Emad Abd Elmessih (2011) "lmavon: Stata Module to Compute Von Neumann Ratio Autocorrelation Test at Higher Order AR(p) after OLS Regression"
Also see
Online: lmareg3, lmadurh, lmalb, lmabp, lmadw, lmavon (if installed).