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help: lmavon                                                        dialog: lma
> von
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+-------+ ----+ 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).