7-11-4

Distribution

Calculation Result Output

x : inverse cumulative normal distribution

(Upper integration interval boundary when Tail:Left) (Lower integration interval boundary when Tail:Right)

(Upper and lower integration interval boundaries when Tail:Central)

kt Distribution

Student-tProbability Density

Command: TPD ￿

Description: This command calculates t probability density from a specified x value.

 

 

 

 

 

 

 

 

2

–

df +1

 

Γ

df + 1

1+

x

2

 

 

 

 

 

f (x) =

 

 

2

 

 

 

df

 

 

 

 

Γ

df

 

 

π .df

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Command Syntax

x value, df value

Definition of Terms

x : data value

df : degrees of freedom (df > 0)

Input Example:

TPD 1.5,6

Calculation Result Output

p : Student-tprobability density

Student-tDistribution Probability

Command: TCD ￿

Description: This command calculates the probability of the Student-tdistribution data falling between a and b.

 

Γ df + 1

b

2

–

df +1

 

p =

 

 

2

 

x

2

 

 

 

1+

 

 

dx

 

df

 

 

 

Γ

π .df

df

 

 

 

 

 

a

 

 

 

 

 

 

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Command Syntax

Lower value, Upper value, df value

a : lower boundary (Lower)

b : upper boundary (Upper)

20050501