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The compositional data xi=(x_i1,x_i2,...,x_in), for each fixed i , xij>0, and sum(xij)=1; I want to compare the mean( u_i) of several groups i.e. H0: u_1=u_2=...=u_N or H0: u_11=u_21=...=u_N1 Are there any ANOVA tpye tools to do this work in R? Thanks, WEN S Q [[alternative HTML version deleted]]

...(x[i, ], x[j, ]) y <- xx[, 1] * xx[, 4] - xx[, 2] * xx[, 3] z1 <- (xx[, 4] - xx[, 2]) z2 <- - (xx[, 3] - xx[, 1]) return(rq(y~cbind(z1, z2)-1)$coef) } To understand the strategy, note that the area of the triangle formed by the points x_i = (x_i1,x_i2), x_j = (x_j1,x_j2), and theta = (theta_1,theta_2) is given by the determinant, | 1 1 1 | Delta(x_i, x_j, theta) = .5 |y_i1 yj1 theta_1|. |y_i2 yj2 theta_2| Expanding the determinant in the unknown parameters theta gives t...

...cc bb -4.440892e-16 cc 6.661338e-16 0 dd 2.000000e+00 2 2 > Why using method "correlation" I don't get 1-person also person corr coef is between (-1,1). Also in help it is said >>'pearson': Also named "not centered Pearson" sum(x_i y_i) /[sum(x_i2) sum(y_i2)]. >>'correlation': Also named "Centered Pearson" 1 - corr(x,y). Maybe corr() is not Pearson correlation ?? Or maybe the data has to be scaled? Very confusing. Maybe somebody can help me with this. Also there is a sqrt missing in the person corr coef definitio...

The compositional data xi=(x_i1, x_i2,..., x_in), for each fixed i , xij>0, and sum(xij)=1; I want to compare the mean( u_i) of several groups i.e. H0: u_1=u_2=...=u_N or Hj0: u_1j=u_2j=...=u_Nj Are there any ANOVA tpye tools to do this work in R? Thanks, WEN S Q [[alternative HTML version deleted]]