Well here is one example where x is not significant in a linear regression:
> x <- seq( -1,1, 0.1 ) > y <- x^2 + rnorm(21,0,.1) > summary(lm(y~x)) Would you really want to dismiss any relationship (non-linear) between x and y based on the above p-value? -- Gregory (Greg) L. Snow Ph.D. Statistical Data Center Intermountain Healthcare [EMAIL PROTECTED] 801.408.8111 > -----Original Message----- > From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] > project.org] On Behalf Of Hsiao-nan Cheung > Sent: Tuesday, October 07, 2008 11:47 AM > To: R-help > Subject: [R] Statistically significant in linear and non-linear model > > Hi, > > > > I have a question to ask. if in a linear regression model, the > independent > variables are not statistically significant, is it necessary to test > these > variables in a non-linear model? Since most of non-linear form of a > variable > can be represented to a linear combination using Taylor's theorem, so I > wonder whether the non-linear form is also not statistically > significant in > such a situation. > > > > Best Regards > > Hsiao-nan Cheung > > 2008/10/08 > > > > > > > > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help@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. ______________________________________________ R-help@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.