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K 2-sample, Test, F= x – Casio ClassPad 300 PLUS User Manual

Page 377

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20050501

7-9-11

Tests

k 2-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

=

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