7-11-10

Distributions

Χ2 Cumulative Distribution

Menu: [Distribution]-[Χ2CD ]

Description: This command calculates the probability of Χ2 distribution data falling between a and b.

p =

 

1

 

 

1

 

df

2



2

 

 

 

Definition of Terms

df

b

 

 

 

 

2

 

df

–1

x

 

a : lower bound (Lower)

 

x 2 e

 

2 dx

b : upper bound (Upper)

 

a

 

 

 

 

Lower : lower bound

Upper : upper bound

df : degrees of freedom (positive integer)

Calculation Result Output

prob : Χ2 distribution probability p

Example

Lower bound : 2.7 (upper bound : δ)

Degrees of freedom : 4

Statistics Wizard Operation

(1)On the menu bar, tap [Calc] and then [Distribution].

(2)Select [Χ2 CD] and then tap [Next >>].

(3)Input values.

(4)Tap [Next >>].

(5)To display the graph, tap .

SProgram, eActivity or Main Application

Command: ChiCD :

Command Syntax

Lower value, Upper value, df value

Input Example:

ChiCD 2.7,δ,4

Inverse Χ2 Cumulative Distribution

Menu: [Inv. Distribution]-[Inverse Χ2 CD]

Description: This command calculates the inverse of the Χ2 cumulative distribution.



This command returns the lower bound of integration value α that satisfies the equation above.

20090601