Multiple comparisions

Some useful inequations

Noncentral Chi-square and F distribution

Central and Non-Central Distributions

https://www.r-bloggers.com/central-and-non-central-distributions/

Algebra for Variance, covariance

•Var(X+Y)= Var X + Var Y + 2 cov (X,Y)

•Var(X) = Cov (X, X)

•Var (X+a)= Var (X)

•Cov (X+a, Y+ b)= Cov(X,Y)

•Cov (aX, bY)=ab Cov(X,Y)

•Var(aX) =a2 Var (X)

•Cov( X+Y, Z)= cov(X,Z) + cov (Y,Z)

•Cov (X+Y, V+W)= cov(X,V) + cov (X, W) + cov (Y, W) + cov(Y,W)

Quadratic forms