Chi-Squared Test

Author

Eric W. Weisstein
February 14, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Statistics/Chi-SquaredTest.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Chi-SquaredTest.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Integral

FullSimplify[Integrate[(chsq/2)^((k-3)/2)Exp[-chsq/2]/Gamma[(k-1)/2],{chsq,(Subscript[χ, s])^2,∞}]/2,k∈Integers&&k>1&&(Subscript[χ, s])>0]

FunctionExpand[((Gamma[(1/2) (-1+k),((Subscript[χ, s]^2)/2)])/(Gamma[(1/2) (-1+k)]))]