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χ
2
Test (Chi-square Test) .... [Test] - [χ
Tests the independence of two categorical variables arranged in matrix form. The χ
compares the observed matrix to the expected theoretical matrix. The χ
• The minimum size of the matrix is 1 × 2. An error occurs if the matrix has only one column.
• The result of the expected frequency calculation is stored in the system variable named "Expected".
0704
To specify observed matrix:
χ
2
GOF Test (Chi-square Goodness-of-Fit Test) .... [Test] - [χ
χ
2
O
Tests whether the observed count of sample data fits a certain distribution. For example, it can be used to
determine conformance with normal distribution or binomial distribution.
The calculation results χ
Tip:
"Contrib" respectively.
0705
To specify observed list: list1 = {1,2,3}, expected list: list2 = {4,5,6}, and
test
F
2-Sample
Test .... [Test] - [Two-Sample F-Test] ..... ) = s
Tests the ratio between sample variances of two independent random samples. The
F
the 2-Sample
test.
One-Way ANOVA (analysis of variance) .... [Test] - [One-Way ANOVA]
Tests the hypothesis that the population means of multiple populations are equal. It compares the mean of one
or more groups based on one independent variable or factor.
0706
To use Factor A data of list1 = {7,4,6,6,5}, list2 = {6,5,5,8,7}, and list3 = {4,7,6,7,6}, and perform One-
Way ANOVA
Tip
• To perform One-Way ANOVA using the wizard, you need to create up to six sets of list data (Factor A level 1 data, level 2
data, etc.). Specify the list data on the wizard screen and perform the calculation.
• One-Way ANOVA can also be performed using a program command (see the example
Graphing and Calculation Functions in a Program" on page 225). To perform One-Way ANOVA using a program command,
you need to create a "DependentList" that includes all Factor A level data (level1, level2, etc.) and a "FactorList(A)" that
specifies the levels for each of the blocks of data in the DependentList. If you use the program command to perform the
same test as shown in the example above, the two lists would be as shown below.
DependentList: {7,4,6,6,5,6,5,5,8,7,4,7,6,7,6} ... (All level 1, level 2, and level 3 data)
FactorList(A): {1,1,1,1,1,2,2,2,2,2,3,3,3,3,3} ... (Levels of each block of data)
2
Test] ....
= 11 68
a
9
N
2
( 2
− (
)
Y
L
L
=
&RQWULE =
(
L
L
i
: The
-th element of the observed list,
i
p
df
2
,
,
, and Contrib are stored in the system variables named "χ
[
)
(
−
)
2
R
N
Y
Y
χ
LM
LM
2
=
,
)
L
M
LM
3
and perform a χ
23
5
2
GOF Test]
2
( 2
− (
)
( 2
(
E
: The
i
2
2
/s
[
[
1
2
R
R
N
N
Y
Y
Y
Y
)
[
[
=
×
/
LM
LM
LM
L
M
L
M
2
test for independence
distribution is used for the χ
2
2
test
2
2
− (
)
( 2
− (
)
N
N
(
(
N
i
-th element of the expected list
2
value", "prob", "df", and
= 1, and then perform a χ
df
F
distribution is used for
1209
under "Including Statistical
Chapter 7: Statistics Application 148
[
LM
2
test.
2
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