"Noncentrality" table for 1 and 8 degrees of freedom (df). See Mathematica code below on how to get numbers for various power/df combinations power df=1 df=8 0.40 2.91145 6.71289 0.50 3.84102 8.40464 0.60 4.89857 10.2362 0.70 6.17200 12.3493 0.75 6.94031 13.5872 0.80 7.84886 15.0221 0.85 8.97839 16.7697 0.90 10.5074 19.0827 0.95 12.9947 22.7437 0.97 14.7514 25.2695 0.99 18.3725 30.3563 0.999 25.5045 40.0366 Mathematica code (for df=8 and power=0.95 at alpha=0.05) << Statistics`ContinuousDistributions` nc[df_, g_] := NoncentralChiSquareDistribution[df, g] c[df_] := ChiSquareDistribution[df] df = 8; pw = 0.95; a = 0.05; FindRoot[a == 1 - CDF[c[df], Quantile[nc[df, x], 1 - pw]], {x, 0, 100}]