search for: f_ij

...e in R (anova() and aov()). Starting with the following model y = a_i + b_j , i in A and j in B is the tested null hypothesis H_0: a_i = 0 for all i in A or H_0: a_m = a_n for any m and n in A? Consequently the same questions for interaction effects. Starting with the model y = a_i + b_j + f_ij , i in A and j in B is the tested null hypothesis H_0: f_ij = 0 for all i in A and j in B or H_0: f_ij = f_mn for any i and m in A and j and n in B? More specific to R the questions is formulated as R code in the appendix. Unfortunately I did not find this in the documentation. Thanks in adv...

Hi folks, I am having a question about efficiently finding the integrals of a list of functions. To be specific, here is a simple example showing my question. Suppose we have a function f defined by f<-function(x,y,z) c(x,y^2,z^3) Thus, f is actually corresponding to three uni-dimensional functions f_1(x)=x, f_2(y)=y^2 and f_3(z)=z^3. What I am looking for are the integrals of these three