Before considering the power for next two alternative distributions, it is imperative to discuss that the Chi-Square distribution is a special case of Gamma distribution. According to Bain and Engelhardt (1992), if a variable Yis a special
Gamma distribution with scale parameter (θ=2) and shape parameter (k=ν/2), the variable Y is said to follow a Chi-Square distribution with νdegrees of freedom. So, if Y~Gamma(θ=2,k=ν/2), a special notation for this distribution
can be written as: