K 2-sample, Test, F= x – Casio ClassPad 300 PLUS User Manual
Page 377
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7-9-11
Tests
k 2-Sample
F
Test
2-Sample
F
Test
Command:
TwoSampleFTest
Ⅺ
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”,
x
1
σ
n
–1
value,
n
1
value,
x
2
σ
n
–1
value,
n
2
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)
x
1
σ
n
-1
:
standard deviation of sample 1 (
x
1
σ
n
-1
> 0)
n
1
:
size of sample 1 (positive integer)
x
2
σ
n
-1
:
standard deviation of sample 2 (
x
2
σ
n
-1
> 0)
n
2
:
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
o
1
:
mean of sample 1 (Displayed only for list format.)
o
2
:
mean of sample 2 (Displayed only for list format.)
x
1
σ
n
–1
:
standard deviation of sample 1
x
2
σ
n
–1
:
standard deviation of sample 2
n
1
:
size of sample 1
n
2
:
size of sample 2