Describe a situation where youd need the statistical test on

Describe a situation where you\'d need the statistical test (one experiment for each):

-Z-score analysis (describe the type of data (a standardized test!)

-Bivariate Correlation Analysis (test of the relationship between two variables X and Y) using the Pearson(describe the type of data and the Independent Variable and a single Dependent Variable carefully)

-Select one of the following statistical tests: Spearman\'s rank-order-, point-biserial- or phi- correlation analysis (describe the type of data and the Independent Variable and a single Dependent Variable carefully, including why you chose the test that you did to analyze these data).

-Multiple regression analysis (describe the type of data and Independent and Dependent Variables carefully) –

Solution

Z-score analysis: If the assumption of normality distribution for the variable of interest holds good and the standard deviation of the population is known, the Z-score analysis can be used to test hypothesis related to the mean.

-Bivariate Correlation Analysis: If the two variables are genuinely believed to be related with one another, like left-and right- eye/ear, twins, etc, bivariate correlation analysis helps in establishing whether the correlation is significant between them.

Spearman\'s rank-order- analysis: If the assumption of the normality fails to hold for a population, the hypothesis testing can be carried out using the Spearman\'s rank-order analysis.

Multiple regression analysis: If the variable of interest depends on multiple variables, the multiple regression analysis is useful. For example, the mileage of a car depends on factors such as engine capacity, horsepower, car length, car width, car weight, etc. In such a context, multiple regression analysis helps.