Does the following answer your question: > set.seed(1) > z0 <- rnorm(100) > p.z <- 2*pnorm(-abs(z0)) > sum(p.z<0.05) [1] 5 > pchisq(sum(z0^2), 100, lower=FALSE) [1] 0.917285
Some of the 100 (in this case) normal random deviates seem statistically significant, even though the ensemble is not. spencer graves [EMAIL PROTECTED] wrote: > Hello, > > I'm posting this to receive some comments/hints about a rather statistical > than R-technical question ... . > > In an anova of a lme factor SSPos11 shows up non-significant, but in the t-test of the summay 2 of the 4 levels (one for constrast) are significant. See below for some truncated output. > > I realize that the two test are different (F-test/t-test), but I'm looking for for a "meaning". Maye you have a schenario that explains how these differences can be created and how you'd go ahead and analyse it further. > > When I use SSPos11 as te only fixed effect, it does it is not significant in either anova nor t-test, and a boxplot of the factor shows that the levels are all quite similar (similar variance and mean). Might the effect I observe be linked to an unbalance design in the multifactorial model? > > thanks a lot for your help, > +kind regards, > > Arne > > >>anova(fit) > > numDF denDF F-value p-value > (Intercept) 1 540 323.4442 <.0001 > SSPos1 3 540 15.1206 <.0001 > ... > SSPos11 3 540 1.1902 0.3128 > ... > > >>summary(fit) > > Linear mixed-effects model fit by REML > Data: d.orig > AIC BIC logLik > 1007.066 1153.168 -469.5329 > > Random effects: > Formula: ~1 | Method > (Intercept) Residual > StdDev: 0.4000478 0.4943817 > > Fixed effects: log(value + 7.5) ~ SSPos1 + SSPos2 + SSPos6 + SSPos7 + SSPos10 > + SSPos11 + SSPos13 + SSPos14 + SSPos18 + SSPos19 + > Value Std.Error DF t-value p-value > (Intercept) 2.8621811 0.23125065 540 12.376964 0.0000 > SSPos1C -0.1647937 0.06293993 540 -2.618269 0.0091 > SSPos1G -0.3448095 0.05922479 540 -5.822047 0.0000 > SSPos1T 0.1083988 0.06087095 540 1.780797 0.0755 > ... > SSPos11C -0.1540292 0.06171635 540 -2.495761 0.0129 > SSPos11G -0.1428980 0.05993122 540 -2.384368 0.0175 > SSPos11T -0.0039434 0.06133920 540 -0.064289 0.9488 > ... > > > [[alternative HTML version deleted]] > > ______________________________________________ > R-help@stat.math.ethz.ch mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html -- Spencer Graves, PhD Senior Development Engineer PDF Solutions, Inc. 333 West San Carlos Street Suite 700 San Jose, CA 95110, USA [EMAIL PROTECTED] www.pdf.com <http://www.pdf.com> Tel: 408-938-4420 Fax: 408-280-7915 ______________________________________________ R-help@stat.math.ethz.ch mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html