Hello dear R help members. I am trying to understand the anova.rq, and I am finding something which I can not explain (is it a bug?!):
The example is for when we have 3 nested models. I run the anova once on the two models, and again on the three models. I expect that the p.value for the comparison of model 1 and model 2 would remain the same, whether or not I add a third model to be compared with. However, the P values change, and I do not understand why. Here is an example code (following with it's input): data(barro) fit0 <- rq(y.net ~ lgdp2 + fse2 , data = barro) fit1 <- rq(y.net ~ lgdp2 + fse2 + gedy2 , data = barro) fit2 <- rq(y.net ~ lgdp2 + fse2 + gedy2 + Iy2 , data = barro) anova(fit0,fit1,fit2, R = 1000) anova(fit0,fit1, R = 1000) Output: > data(barro) > fit0 <- rq(y.net ~ lgdp2 + fse2 , data = barro) > fit1 <- rq(y.net ~ lgdp2 + fse2 + gedy2 , data = barro) > fit2 <- rq(y.net ~ lgdp2 + fse2 + gedy2 + Iy2 , data = barro) > anova(fit0,fit1,fit2, R = 1000) Quantile Regression Analysis of Deviance Table Model 1: y.net ~ lgdp2 + fse2 + gedy2 + Iy2 Model 2: y.net ~ lgdp2 + fse2 + gedy2 Model 3: y.net ~ lgdp2 + fse2 Df Resid Df F value Pr(>F) 1 1 156 29.494 2.110e-07 *** 2 2 156 18.194 7.901e-08 *** --- Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 > anova(fit0,fit1, R = 1000) Quantile Regression Analysis of Deviance Table Model 1: y.net ~ lgdp2 + fse2 + gedy2 Model 2: y.net ~ lgdp2 + fse2 Df Resid Df F value Pr(>F) 1 1 157 3.9532 0.04852 * --- Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 > sessionInfo() R version 2.13.1 (2011-07-08) Platform: i386-pc-mingw32/i386 (32-bit) locale: [1] LC_COLLATE=Hebrew_Israel.1255 LC_CTYPE=Hebrew_Israel.1255 [3] LC_MONETARY=Hebrew_Israel.1255 LC_NUMERIC=C [5] LC_TIME=Hebrew_Israel.1255 attached base packages: [1] splines stats graphics grDevices utils datasets methods base other attached packages: [1] rms_3.3-1 Hmisc_3.8-3 survival_2.36-9 [4] colorspace_1.1-0 quantreg_4.71 SparseM_0.89 [7] PerformanceAnalytics_1.0.3.2 xts_0.8-2 zoo_1.7-4 [10] reporttools_1.0.6 xtable_1.5-6 loaded via a namespace (and not attached): [1] cluster_1.14.0 grid_2.13.1 lattice_0.19-33 tools_2.13.1 ----------------Contact Details:------------------------------------------------------- Contact me: tal.gal...@gmail.com | 972-52-7275845 Read me: www.talgalili.com (Hebrew) | www.biostatistics.co.il (Hebrew) | www.r-statistics.com (English) ---------------------------------------------------------------------------------------------- [[alternative HTML version deleted]]
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