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7-9-11
Tests
k 2-Sample F Test
2-Sample F Test
Command: TwoSampleFTestⅪ
Description: This command tests hypotheses concerning the ratio of the population
variance of two populations. A 2-Sample F Test uses F distribution.
F =
x
1 n–1
2
σ
x
2 n–1
2
σ
Command Syntax
Syntax 1 (list format)
“
σ
1 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)
“
σ
1 condition”, x1
σ
n–1 value, n1 value, x2
σ
n–1 value, n2 value
Definition of Terms
σ
1 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)
x1
σ
n-1 : standard deviation of sample 1 (x1
σ
n-1 > 0)
n1 : size of sample 1 (positive integer)
x2
σ
n-1 : standard deviation of sample 2 (x2
σ
n-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
σ
1 ≠
σ
2 : 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.)
x1
σ
n–1 : standard deviation of sample 1
x2
σ
n–1 : standard deviation of sample 2
n1 : size of sample 1
n2 : size of sample 2