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Casio fx-9750G PLUS User Manual

Page 320

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Analysis of Variance (ANOVA)

ANOVA tests the hypothesis that when there are multiple samples, the means of
the populations of the samples are all equal.

MS

MSe

F

=

SS

Fdf

MS

=

SSe

Edf

MSe

=

SS

=

Σ

n

i

(o

i

– o)

2

i

=1

k

SSe

=

Σ

(n

i

– 1)x

i

σ

n

–1

2

i

=1

k

Fdf

= k

– 1

Edf

=

Σ

(n

i

– 1)

i

=1

k

Perform the following key operations from the statistical data list.

3

(TEST)

5

(ANOV)

The following is the meaning of each item in the case of list data specification.

How Many ...... number of samples
List1 ................ list whose contents you want to use as sample 1 data
List2 ................ list whose contents you want to use as sample 2 data
Execute .......... executes a calculation

A value from 2 through 6 can be specified in the How Many line, so up to six
samples can be used.

Example

To perform one-way ANOVA (analysis of variance) when
three lists of data are input

For this example, we will perform analysis of variance for the
data List1 = {6, 7, 8, 6, 7}, List2 = {0, 3, 4, 3, 5, 4, 7} and
List3 = {4, 5, 4, 6, 6, 7}.

k

: number of populations

o

i

: mean of each list

x

i

σ

n

-1

: standard deviation of each list

n

i

: size of each list

o

: mean of all lists

F

:

F

value

MS

: factor mean squares

MSe

: error mean squares

SS

: factor sum of squares

SSe

: error sum of squares

Fdf

: factor degrees of freedom

Edf

: error degrees of freedom

18 - 6

Tests

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