289
kk
kk
k Other Tests
uu
uu
uχ
2
Test
χ
2
Test sets up a number of independent groups and tests hypotheses related to
the proportion of the sample included in each group. The χ
2
Test is applied to
dichotomous variables (variable with two possible values, such as yes/no).
expected counts
F
ij
=
Σ
x
ij
i=1
k
×
Σ
x
ij
j=1
k
ΣΣ
i=1
j=1
x
ij
χ
2
=
ΣΣ
F
ij
i=1
k
(x
ij
– F
ij
)
2
=1
For the above, data must already be input in a matrix using the MAT Mode.
Perform the following key operations from the statistical data list.
3(TEST)
3(CHI)
Next, specify the matrix that contains the data. The following shows the meaning
of the above item.
Observed ........ name of matrix (A to Z) that contains observed counts (all cells
positive integers)
Execute .......... executes a calculation or draws a graph
The matrix must be at least two lines by two columns. An error occurs if the
matrix has only one line or one column.
Example To perform a χ
2
Test on a specific matrix cell
For this example, we will perform a χ
2
Test for Mat A, which
contains the following data.
Mat A =
14
5 10
1(Mat A)c
1(CALC)
Tests 18 - 6
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