Casio FX-9750G PLUS User's Manual & Technical Reference page 320

18 - 6
Tests
u u u u u 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.
Perform the following key operations from the statistical data list.
A value from 2 through 6 can be specified in the How Many line, so up to six
samples can be used.
292
MS
F =
MSe
SS
MS =
Fdf
SSe
MSe =
Edf
k
Σ
2
SS = (o – o)
n
i i
i=1
k
Σ
(n σ
– 1)x
SSe =
i
i
i =1
Fdf = k – 1
k
Σ
(n
– 1)
Edf =
i
i=1
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
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
o
i
x σ
i n
-1
n
i
o
F
MS
MSe
SS
SSe
Fdf
Edf
2
n–1
: number of populations
: mean of each list
: standard deviation of each list
: size of each list
: mean of all lists
F
: value
: factor mean squares
: error mean squares
: factor sum of squares
: error sum of squares
: factor degrees of freedom
: error degrees of freedom