+-------+ ----+ Title +------------------------------------------------------------
lmabp: Box-Pierce Autocorrelation LM Test at Higher Order AR(p)
+--------+ ----+ Syntax +-----------------------------------------------------------
lmabp 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 +------------------------------------------------------
lmabp computes Box-Pierce Autocorrelation LM Test after regress command. lmabp detects autocorrelation at Higher Order AR(p), more than AR(1).
J Box-Pierce LM test = N [ Sum(Rho_i) ] ~ Chi2(J) i=1 where N = Number of Observations. J = Order of Lag Length. 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(bp_#) Box-Pierce Autocorrelation LM Test at Order AR(i) r(bpp_#) Box-Pierce Autocorrelation LM Test P-Value at Order AR(i)
+----------+ ----+ Examples +---------------------------------------------------------
clear all
db lmabp
sysuse lmabp.dta , clear
lmabp y x1 x2 , lags(1)
lmabp y x1 x2 , lags(4)
return list
=================================================== * Box-Pierce Autocorrelation LM Test * =================================================== Ho: No Autocorrelation - Ha: Autocorrelation ------------------------------------------------------------ * Rho Value for AR(1) = -0.1455 * Box-Pierce LM Test AR(1) = 0.3598 P>Chi2(1) 0.5486 ------------------------------------------------------------ * Rho Value for AR(2) = -0.2231 * Box-Pierce LM Test AR(2) = 1.2062 P>Chi2(2) 0.5471 ------------------------------------------------------------ * Rho Value for AR(3) = 0.1871 * Box-Pierce LM Test AR(3) = 1.8016 P>Chi2(3) 0.6146 ------------------------------------------------------------ * Rho Value for AR(4) = -0.3002 * Box-Pierce LM Test AR(4) = 3.3334 P>Chi2(4) 0.5037 ------------------------------------------------------------
+------------+ ----+ References +-------------------------------------------------------
Damodar Gujarati (1995) "Basic Econometrics" 3rd Edition, McGraw Hill, New York, USA; 717.
Box, George & Pierce D. (1970) "Distribution of Residual Autocorrelations in Autoregressive Integrated Moving Average Time Series Models", J. Am. Stat. Assoc., Vol. 65; 1509-1526.
+--------+ ----+ 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
+----------------+ ----+ lmabp Citation +---------------------------------------------------
Shehata, Emad Abd Elmessih (2011) "lmabp: Stata Module to Compute Box-Pierce Autocorrelation LM Test at Higher Order AR(p) after OLS Regression"
Also see
Online: lmareg3, lmadurh, lmalb, lmabp, lmadw, lmavon (if installed).