help: lmaz dialog:

Title

lmaz: OLS Autocorrelation Z Test at Higher Order AR(p)

Table of Contents

Syntax

Description

Options

Saved Results

References

*** Examples

Authors

Syntax

lmaz depvar indepvars [if] [in] , [ noconstant lags(#)]

Description

lmaz computes OLS Autocorrelation Z Test

Ho: No Autocorrelation - Ha: Autocorrelation
- Z Test

R2, R2 Adjusted, and F-Test, are obtained from 4 ways:

1- (Buse 1973) R2.

2- Raw Moments R2.

3- squared correlation between predicted (Yh) and observed dependent variable (Y).

4- Ratio of variance between predicted (Yh) and observed dependent variable (Y).

- Adjusted R2: R2_a=1-(1-R2)*(N-1)/(N-K-1).

- F-Test=R2/(1-R2)*(N-K-1)/(K).

Options

lags(#) Order of Lag Length

noconstant Exclude Constant Term from Equation

Saved Results

lmaz saves the following in e():

e(rho#) Rho Value for AR(i)
e(lmaz#) Z Test AR(i)
e(lmazp#) Z Test AR(i) P-Value

References

Damodar Gujarati (1995)
"Basic Econometrics"
3rd Edition, McGraw Hill, New York, USA.

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.

Examples

clear all
sysuse lmaz.dta , clear

db lmaz

lmaz y x1 x2 , lags(1)
lmaz y x1 x2 , lags(2)
lmaz y x1 x2 , lags(3)
lmaz y x1 x2 , lags(4)

. clear all
. sysuse lmaz.dta , clear
. lmaz y x1 x2 , lags(4)

==============================================================================
* Ordinary Least Squares (OLS)
==============================================================================
y = x1 + x2
------------------------------------------------------------------------------
Sample Size = 17
Wald Test = 273.3662 | P-Value > Chi2(2) = 0.0000
F-Test = 136.6831 | P-Value > F(2 , 14) = 0.0000
(Buse 1973) R2 = 0.9513 | Raw Moments R2 = 0.9986
(Buse 1973) R2 Adj = 0.9443 | Raw Moments R2 Adj = 0.9984
Root MSE (Sigma) = 5.5634 | Log Likelihood Function = -51.6471
------------------------------------------------------------------------------
- R2h= 0.9513 R2h Adj= 0.9443 F-Test = 136.68 P-Value > F(2 , 14) 0.0000
- R2v= 0.9513 R2v Adj= 0.9443 F-Test = 136.68 P-Value > F(2 , 14) 0.0000
------------------------------------------------------------------------------
y | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
x1 | 1.061709 .2666739 3.98 0.001 .4897506 1.633668
x2 | -1.382986 .0838143 -16.50 0.000 -1.562749 -1.203222
_cons | 130.7066 27.09429 4.82 0.000 72.59515 188.8181
------------------------------------------------------------------------------
==============================================================================
*** OLS Autocorrelation Z Test
==============================================================================
Ho: No Autocorrelation - Ha: Autocorrelation
------------------------------------------------------------------------------
- Rho Value for Order(1) AR(1)= -0.1455
- Z Test AR(1)= -0.5998 P-Value >Chi2(1) 0.4386
------------------------------------------------------------------------------
- Rho Value for Order(2) AR(2)= -0.2231
- Z Test AR(2)= -0.9200 P-Value >Chi2(2) 0.6313
------------------------------------------------------------------------------
- Rho Value for Order(3) AR(3)= 0.1871
- Z Test AR(3)= 0.7716 P-Value >Chi2(3) 0.8562
------------------------------------------------------------------------------
- Rho Value for Order(4) AR(4)= -0.3002
- Z Test AR(4)= -1.2377 P-Value >Chi2(4) 0.8719
------------------------------------------------------------------------------

Authors

- Emad Abd Elmessih Shehata
Professor (PhD Economics)
Agricultural Research Center - Agricultural Economics Research Institute - Egypt
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

- Sahra Khaleel A. Mickaiel
Professor (PhD Economics)
Cairo University - Faculty of Agriculture - Department of Economics - Egypt
Email: sahra_atta@hotmail.com
WebPage: http://sahraecon.110mb.com/stata.htm
WebPage at IDEAS: http://ideas.repec.org/f/pmi520.html
WebPage at EconPapers: http://econpapers.repec.org/RAS/pmi520.htm

LMAZ Citation

Shehata, Emad Abd Elmessih & Sahra Khaleel A. Mickaiel (2013)

LMAZ: "OLS Autocorrelation Z Test at Higher Order AR(p)"

Online Help:

* Autocorrelation Tests:

* (1) (OLS) * Ordinary Least Squares Tests:
lmareg OLS Autocorrelation Tests
lmabp OLS Autocorrelation Box-Pierce Test
lmabg OLS Autocorrelation Breusch-Godfrey Test
lmabpg OLS Autocorrelation Breusch-Pagan-Godfrey Test
lmadurh OLS Autocorrelation Dynamic Durbin h, Harvey LM, Wald Tests
lmadurm OLS Autocorrelation Dynamic Durbin m Test
lmadw OLS Autocorrelation Durbin-Watson Test
lmalb OLS Autocorrelation Ljung-Box Test
lmavon OLS Autocorrelation Von Neumann Ratio Test
lmaz OLS Autocorrelation Z Test
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* (2) (NLS) * Non Linear Least Squares Tests:
lmanls Non Linear Least Squares Autocorrelation Tests
lmabpnl NLS Autocorrelation Box-Pierce Test
lmabgnl NLS Autocorrelation Breusch-Godfrey Test
lmabpgnl NLS Autocorrelation Breusch-Pagan-Godfrey Test
lmadurmnl NLS Autocorrelation Dynamic Durbin m Test
lmadwnl NLS Autocorrelation Durbin-Watson Test
lmalbnl NLS Autocorrelation Ljung-Box Test
lmavonnl NLS Autocorrelation Von Neumann Ratio Test
lmaznl NLS Autocorrelation Z Test
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* (3) (MLE) * Maximum Likelihood Estimation Tests:
lmamle MLE Autocorrelation Tests
lmabpml MLE Autocorrelation Box-Pierce Test
lmabgml MLE Autocorrelation Breusch-Godfrey Test
lmabpgml MLE Autocorrelation Breusch-Pagan-Godfrey Test
lmadurhml MLE Autocorrelation Dynamic Durbin h, Harvey LM, Wald Tests
lmadurmml MLE Autocorrelation Dynamic Durbin m Test
lmadwml MLE Autocorrelation Durbin-Watson Test
lmalbml MLE Autocorrelation Ljung-Box Test
lmavonml MLE Autocorrelation Von Neumann Ratio Test
lmazml MLE Autocorrelation Z Test
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* (4) (2SLS-IV) * Two-Stage Least Squares & Instrumental Variables Tests:
lmareg2 2SLS-IV Autocorrelation Tests
lmabg2 2SLS-IV Autocorrelation Breusch-Godfrey Test
lmabp2 2SLS-IV Autocorrelation Box-Pierce Test
lmabpg2 2SLS-IV Autocorrelation Breusch-Pagan-Godfrey Test
lmadurh2 2SLS-IV Autocorrelation Dynamic Durbin h, Harvey LM, Wald Tests
lmadurm2 2SLS-IV Autocorrelation Dynamic Durbin m Test
lmadw2 2SLS-IV Autocorrelation Durbin-Watson Test
lmalb2 2SLS-IV Autocorrelation Ljung-Box Test
lmavon2 2SLS-IV Von Neumann Ratio Autocorrelation Test
lmaz2 2SLS-IV Autocorrelation Z Test
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* (5) Panel Data Tests:
lmaxt Panel Data Autocorrelation Tests
lmabxt Panel Data Autocorrelation Baltagi Test
lmabgxt Panel Data Autocorrelation Breusch-Godfrey Test
lmabpxt Panel Data Autocorrelation Box-Pierce Test
lmabpgxt Panel Data Autocorrelation Breusch-Pagan-Godfrey Test
lmadurhxt Panel Data Autocorrelation Dynamic Durbin h and Harvey LM Tests
lmadurmxt Panel Data Autocorrelation Dynamic Durbin m Test
lmadwxt Panel Data Autocorrelation Durbin-Watson Test
lmavonxt Panel Data Von Neumann Ratio Autocorrelation Test
lmawxt Panel Data Autocorrelation Wooldridge Test
lmazxt Panel Data Autocorrelation Z Test
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* (6) (3SLS-SUR) * Simultaneous Equations Tests:
lmareg3 (3SLS-SUR) Overall System Autocorrelation Tests
lmhreg3 (3SLS-SUR) Overall System Heteroscedasticity Tests
lmnreg3 (3SLS-SUR) Overall System Non Normality Tests
lmcovreg3 (3SLS-SUR) Breusch-Pagan Diagonal Covariance Matrix
r2reg3 (3SLS-SUR) Overall System R2, F-Test, and Chi2-Test
diagreg3 (3SLS-SUR) Overall System ModeL Selection Diagnostic Criteria
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* (7) (SEM-FIML) * Structural Equation Modeling Tests:
lmasem (SEM-FIML) Overall System Autocorrelation Tests
lmhsem (SEM-FIML) Overall System Heteroscedasticity Tests
lmnsem (SEM-FIML) Overall System Non Normality Tests
lmcovsem (SEM-FIML) Breusch-Pagan Diagonal Covariance Matrix Test
r2sem (SEM-FIML) Overall System R2, F-Test, and Chi2-Test
diagsem (SEM-FIML) Overall System ModeL Selection Diagnostic Criteria
---------------------------------------------------------------------------
* (8) (NL-SUR) * Non Linear Seemingly Unrelated Regression Tests:
lmanlsur (NL-SUR) Overall System Autocorrelation Tests
lmhnlsur (NL-SUR) Overall System Heteroscedasticity Tests
lmnnlsur (NL-SUR) Overall System Non Normality Tests
lmcovnlsur (NL-SUR) Breusch-Pagan Diagonal Covariance Matrix Test
r2nlsur (NL-SUR) Overall System R2, F-Test, and Chi2-Test
diagnlsur (NL-SUR) Overall System ModeL Selection Diagnostic Criteria
---------------------------------------------------------------------------
* (9) (VAR) * Vector Autoregressive Model Tests:
lmavar (VAR) Overall System Autocorrelation Tests
lmhvar (VAR) Overall System Heteroscedasticity Tests
lmnvar (VAR) Overall System Non Normality Tests
lmcovvar (VAR) Breusch-Pagan Diagonal Covariance Matrix Test
r2var (VAR) Overall System R2, F-Test, and Chi2-Test
diagvar (VAR) Overall System ModeL Selection Diagnostic Criteria
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