Statistical Distributions
  Frontispiece
  Chapter I
Binomial Distributions
  Chapter II
Normal Distribution
  Chapter III
t-Distributions
  Chapter IV
F Distributions
Chapter V
Chi Square Distributions
  Modicum of
Microsoft Excel
  Tables

 

The Chi Square Distributions

The equation for the chi square distribution is

                                                

 

The above equation conforms to the general form of the Euler's gamma function

 

                                                        

 

The constant a equals

 

                                                        

 

the constant b equals

 

                                                          

 

the constant c equals .5 and the constant d equals 2.

 

For example, for 10 degrees of freedom

 

                                                           

 

b equals 4, c equals .5 and d equals 2.

 

The Chi-Square Distribution within the Microsoft Excel Framework

The above figure was plotted by using Microsoft Excel, using the equation

 

Microsoft Excel

(a1^4*2.71828^ (-a1/2))/768

Chi-Square Distribution

 

 

The Chi-Square Distribution within the Cruise Scientific Visual Statistics Studio Framework

Select (Arguments, .01 Chi - 10 Chi)

  Generate the argument for the Chi Square distribution from .10C to 6C with n equal to 60, and click on the Display the Sequence command. Select (Distributions, Ordinates of Chi Square Distributions)

to obtain the Chi Ordinate for 2 Degrees of Freedom

Select (Stereographs, Display the Stereograph) to view the black and white stereograph of the Chi Square distribution