The chi-square distribution defined as the sum of the squares of independent standard normal variates is often referred to as the central chi-square distribution. The distribution of the sum of the squares of independent normal variates each having unit variance but with possibly non zero means is known as non-central chi-square distribution. Thus if Xi, (i=1,2,…,n)are independent N(μi, 1), random variables then
Has the non central chi-square distribution with n degrees of freedom. Intuitively, this distribution would seem to depend upon the n parameters μ1, μ2,…….., μn but it will be seen that it depends on these parameters only through the non-centrality parameter.
And we write, .
Online Statistics Help | Statistics Math Help | Statistics probability help | Statistics help | College statistics help | Business statistics help| Elementary statistics help | Probability and statistics help | Statistics tutor | Statistic Homework help | Excel help | Mathematics help | Matlab help | MegaStats help | Minitab help | PHStat2 help | POM/QM help | R code and S-Plus help | SAS help | SPSS Help | Stata help | TDISK help | Tree Plan help | Online Tutoring