Chi-Square test Annotated Example useful in business research

1. Chi-Square Test
Annotated Example - Manoj

2. Age versus selection of speed variable
Table 1 Chi-Square Tests
Value df Asymp. Sig. (2-sided)
11.464 6 .075
12.269 6 .056
7.531 1 .006
362
Table – 1.1 Symmetric Measures
Value Approximate Sig.
Nominal by
Nominal
Phi .178 .075
Cramer's V .126 .075
Contingency
Coefficient
.175 .075
N of Valid Cases 362
Table - 1 reveals non-significant results and it indicates that there was no
association between the Age and the selection of speed variable. The symmetric
measures (Table 2) also indicate that there was neither a goodness of fit nor
strength of Association in terms of effect size.

3. Selection of ISP vs speed variable
Value df Asymp. Sig. (2-sided)
Pearson Chi-Square 22.253 12 .035
Likelihood Ratio 22.644 12 .031
Linear-by-Linear Association 2.560 1 .110
N of Valid Cases 362
Table 2 Pearson Chi-Square of selection of ISP versus speed variable
Table 2.1 Symmetric Measures
Value Approximate Sig.
Nominal by Nominal
Phi .248 .035
Cramer's V .143 .035
Contingency
Coefficient
.241 .035
N of Valid Cases 362
T
Table 2 reveals significant results and it indicates that there was association between
the Type of ISP and speed variable. The symmetric measures (Table 2.1) indicate that
there was a goodness of fit as well as strength of Association in terms of effect size.

4. Examining the strength of association
of the selection of speed
Ha5 Selection of ISP and speed are associated.
Pearson Chi Square test was conducted to assess the strength of association
between the Selection of ISP and the selection of speed. The significant results
offers the information (Table 2); x2 (12, N = 362) = 22.253, p =.035. The symmetric
measures output (Table 2.1) to assess the strength of association indicate the
significant score of Cramer’s V (.035). Therefore it was also confirmed that the Ha5
was proved and it was accepted. Therefore it was observed that the association
between the Selection of ISP and speed was found.