Hi I am actually running the White test for correcting Heteroscedasticity. I used sandwich() & car(), however the output shows the updated t test of coefficients, with revised Standard Errors, however the estimates remained same. My problem is that the residuals formed a pattern in the original regression equation. After running the White's test, I got some new standard errors - but from here I didn't understand how to plot the residuals (or) how to correct the estimates?? Can some one direct me in this regard.. Best, Kishore/.. http://kaykayatisb.blogspot.com [[alternative HTML version deleted]]
John C Frain
2009-Feb-10 14:38 UTC
[R] Help regarding White's Heteroscedasticity Correction
Generally in the presence of heteroskedasticity of unknown form OLS produces consistent estimates of your regression coefficients. The estimates of standard errors are biased in the presence of heteroskedasticity, White's procedure is a way of producing consistent estimates of the standard errors. It does not change the estimates of the coefficients. It does not change the residuals. Patterns in your residuals may show up as heteroskedasticity when tested but they may be an indication of wrong functional form or of missing variables or of some other form of misspecification. Best Regards John 2009/2/10 Kishore <gladikishore at gmail.com>:> Hi > I am actually running the White test for correcting Heteroscedasticity. I > used sandwich() & car(), however the output shows the updated t test of > coefficients, with revised Standard Errors, however the estimates remained > same. My problem is that the residuals formed a pattern in the original > regression equation. After running the White's test, I got some new > standard errors - but from here I didn't understand how to plot the > residuals (or) how to correct the estimates?? Can some one direct me in > this regard.. > > Best, > > Kishore/.. > http://kaykayatisb.blogspot.com > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. >-- John C Frain Trinity College Dublin Dublin 2 Ireland www.tcd.ie/Economics/staff/frainj/home.html mailto:frainj at tcd.ie mailto:frainj at gmail.com
Dear Kishore, Yes, White's heteroscedasticity-consistent standard errors are just that -- standard errors for the OLS coefficients that are consistent in the presence of heteroscedasticity. The coefficients themselves don't change. There is an issue here: although the standard errors and OLS coefficients are consistent, the OLS estimates lose efficiency. If you know that pattern of heteroscedasticity, then you might get more efficient estimates by taking it into account, e.g., in weighted-least-squares regression, or, if the residual spread increases with the fitted values, by transforming the response. I hope this helps, John ------------------------------ John Fox, Professor Department of Sociology McMaster University Hamilton, Ontario, Canada web: socserv.mcmaster.ca/jfox> -----Original Message----- > From: r-help-bounces at r-project.org [mailto:r-help-bounces at r-project.org]On> Behalf Of Kishore > Sent: February-10-09 9:19 AM > To: r-help at r-project.org; r-help at stat.math.ethz.ch > Subject: [R] Help regarding White's Heteroscedasticity Correction > > Hi > I am actually running the White test for correcting Heteroscedasticity. I > used sandwich() & car(), however the output shows the updated t test of > coefficients, with revised Standard Errors, however the estimates remained > same. My problem is that the residuals formed a pattern in the original > regression equation. After running the White's test, I got some new > standard errors - but from here I didn't understand how to plot the > residuals (or) how to correct the estimates?? Can some one direct me in > this regard.. > > Best, > > Kishore/.. > http://kaykayatisb.blogspot.com > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guidehttp://www.R-project.org/posting-guide.html> and provide commented, minimal, self-contained, reproducible code.