In a brief paragraph, provide 5 separate examples of relationships you could evaluate with each of...

In a brief paragraph, provide 5 separate examples of relationships you could evaluate with each of the following statistical tests. In your descriptions, please be sure to clearly state which independent variable and dependent variables you chose and why they would be best evaluated using that statistical test. i) Logistic Regression ii) Chi-Square iii) Correlation iv) T-test v) ANOVA

Expert Solution

1) Logistic regression: It can be used to test the relationship of a variable having effect on the occurrence of an event. Suppose that you want to predict if humidity in air is responsible for rain, one can test the hypothesis if the humidity in air has significant effect. The dependent variable in this case is whether it rained on particular day or not, the independent variable is humidity in air of that day. Logistic regression can be used to test this relationship.

2) Chi-Squared: This test is used to check the goodness of fit to a distribution. So suppose you wanted to test if a particular sample is following a uniform distribution or not. Then one can use chi-squared test. Dependent variable is the sample values, independent variable is the hypothetical values.

3) Correlation: This is used to test a linear relationship between two variables. The dependent variable is one of the variable for which the relationship is measured, and the independent variable is the one against which the relationship is measured.

4) t-test: It is used to test mean of the two population is equal or not. The dependent variable is the sample for which the mean is tested and independent variable is the population against which mean is tested.

5) ANOVA: It is used to test the equality of mean against several groups. The dependent variable is the variable for which the mean across different group is tested and independent variables are the different groups involved.

orchestra answered 2 years ago

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