7-11-12

Distributions

Example

Data : 1.5

Degrees of freedom of numerator : 24

Degrees of freedom of denominator : 19

•Statistics Wizard Operation

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

(2)Select [F PD] and then tap [Next >>].

(3)Input values.

(4)Tap [Next >>].

(5)To display the graph, tap $.

uProgram, eActivity or Main Application

Command: FPD￿

Command Syntax

x value, n:df value, d:df value

Input Example:

FPD 1.5,24,19

F Cumulative Distribution

Menu: [Distribution]-[F CD]

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

a and b.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Γ n + d

 

 

 

 

 

n

b

 

n

 

 

– n + d

 

a : lower bound (Lower)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

p =

 

 

 

2

 

 

 

 

n 2

 

 

–1

n.x 2

 

b : upper bound (Upper)

 

 

 

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

x

 

1 +

 

 

 

 

dx

 

 

 

n

 

 

d

d

 

 

d

 

Γ

 

Γ

 

a

 

 

 

 

 

 

 

2

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Definition of Terms

Lower : lower bound

Upper : upper bound

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

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

Calculation Result Output

prob : F distribution probability p

20080201