7-11-6

Distribution

χ2 Distribution Probability

Command: ChiCD ￿

Description: This command calculates the probability of χ2 distribution data falling between

aand b.

p =

1

1

df

2

Γ

 

 

2

 

df

b

a : lower boundary (Lower)

2

 

df

–1

x

x 2 e

2 dx

b : upper boundary (Upper)

a

 

 

 

Command Syntax

Lower value, Upper value, df value

Definition of Terms

Lower : lower boundary

Upper : upper boundary

df : degrees of freedom (positive integer)

Input Example:

ChiCD 0.76,3,4

Calculation Result Output

p :

χ2 distribution probability

kF Distribution

F Probability Density

Command: FPD ￿

Description: This command calculates the probability density of F distribution from a specified x value.

 

 

Γ n + d

 

 

 

 

 

n

n

 

 

n.x

f (x) =

 

 

 

2

 

 

 

 

n

2

 

2

1

1 +

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

x

 

 

 

 

 

n

 

 

d

 

 

d

 

 

d

Γ

 

Γ

 

 

 

 

 

 

 

 

 

 

2

 

 

2

 

 

 

 

 

 

 

 

 

 

n + d

2

Command Syntax

xvalue, n:df value, d:df value

Definition of Terms

x : data value

n:df : degrees of freedom of numerator (positive integer)

d:df : degrees of freedom of denominator (positive integer)

20050501