To test for the significance of the phi correlation, one
Kendrick Hampton
Answered question
2022-06-16
Group of answer choices:
1.t
2. Chi-square
3. z
4. F
Answer & Explanation
Ethen Valentine
Beginner2022-06-17Added 15 answers
The phi correlation is usually used to measure the strength of association between two nominal, binary variables, whereas Pearson correlation is usually used to measure the strength of linear association between two interval or ratio scale, continuous variables.
As the phi correlation is suitable to measure the association between two nominal binary variables, the data in this case can be expressed in a two-cross-two table format.
To test the significance of the phi correlation, the null hypothesis is that, there is no association between the two nominal variables, while the alternative hypothesis is that, there is an association between the two variables.
These hypothesis are similar to the null hypothesis that the two nominal variables are independent, and the alternative hypothesis that the two nominal variables are not independent but associated. In that sense, the test is simply another form of the chi-square test of independence.
Thus, the required distribution to test for the significance of the phi correlation is Option 2, Chi-square.
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