7-9-11 Tests

k2-Sample F Test

2-Sample F Test

Command: TwoSampleFTest ￿

Description: This command tests hypotheses concerning the ratio of the population variance of two populations. A 2-Sample F Test uses F distribution.

F= x1σn–12x2σn–12

Command Syntax

Syntax 1 (list format)

“σ1 condition”, List(1), List(2), Freq(1) (or 1), Freq(2) (or 1) * “Freq” can be omitted. Doing so sets “1” for “Freq”.

Syntax 2 (parameter format)

“σ1 condition”, x1σn–1value, n1 value, x2σn–1value, n2 value

Definition of Terms

σ1 condition: population standard deviation test conditions (“≠” specifies two-tail test, “<” specifies one-tail test where sample 1 is smaller than sample 2, “>” specifies one-tail test where sample 1 is greater than sample 2.)

List(1) : list where sample 1 data is located

List(2) : list where sample 2 data is located

Freq(1) : frequency of sample 1 (1 or list name)

Freq(2) : frequency of sample 2 (1 or list name)

x1σn-1 : standard deviation of sample 1 (x1σn-1> 0)

n1 :size of sample 1 (positive integer)

x2σn-1 : standard deviation of sample 2 (x2σn-1> 0)

n2 :size of sample 2 (positive integer)

Input Example:

Syntax 1 (list format)

TwoSampleFTest “≠”,list1,list2,1,1

Syntax 2 (parameter format)

TwoSampleFTest “≠”,1.94,10,2.12,15

Calculation Result Output

σ1 ≠ σ2 :

test condition

F :

F value

p :

p-value

o1

:

mean of sample 1 (Displayed only for list format.)

o2

:

mean of sample 2 (Displayed only for list format.)

x1σn–1 :

standard deviation of sample 1

x2σn–1 :

standard deviation of sample 2

n1

:

size of sample 1

n2

:

size of sample 2

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