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How to test the regression terms in an arima model

To: Snews <s-news@wubios.wustl.edu>
Subject: How to test the regression terms in an arima model
From: Olivier.Renaud@pse.unige.ch
Date: Tue, 03 Apr 2001 18:26:55 +0200
S users,

> version
S-PLUS 2000 Professional Edition Release 3 for Microsoft Windows : 2000 


When I fit an arima model with regression terms, I would like to test
the significance of these terms. However the following call gives me the
coefficients but not standard errors and tests:

> summary (arima.mle(y, model=list(order=c(1,0,0)), xreg=cbind(1,eff)))
...
Coeffficients for regressor(s): cbind(1, eff) 
[1] -0.15789  1.18306
...

Note that gls gives the tests on the regressions terms (slighly
different values for the coefficients, since estimated with a different
method). But for different reasons, I would prefer to stay in the arima
framework.

> summary (gls (y ~ eff, correlation = corAR1())
...
Coefficients:
                Value Std.Error   t-value p-value 
(Intercept) -0.172742 0.1019278 -1.694752  0.0909
        eff  1.197824 0.1439301  8.322260  <.0001
...

Any tip would be appreciated.

Olivier
-- 
----------------------------------------------------------------------
Olivier Renaud                      mailto:Olivier.Renaud@pse.unige.ch
Faculty of Psychology and Education               Tel: +41 22 705 9104
University of Geneva   -   40, Bd du Pont d'Arve  -   CH-1211 Geneva 4
                       http://www.unige.ch/fapse/PSY/persons/prof-ana/

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