The Chi-square distribution is used quite often in Monte Carlo studies to examine statistical power of competing statistics. The power spectrum of the t-test, Wilcoxon test, and permutation t test are compared under various degrees of freedom for this distribution. The two t tests have similar power, which is generally less than the Wilcoxon.
"The Effect Of Different Degrees Of Freedom Of The Chi-square Distribution On The Statistical Power Of The t, Permutation t, And Wilcoxon Tests,"
Journal of Modern Applied Statistical Methods: Vol. 6
, Article 9.
Available at: http://digitalcommons.wayne.edu/jmasm/vol6/iss2/9