Question

In: Statistics and Probability

Describe, in your own words, when you would use each type of test below. Make sure...

Describe, in your own words, when you would use each type of test below. Make sure to include the type of variables and when you would use that particular test.

Pearson Correlation

Spearman Correlation

Paired T-Test

Independent T-Test

ANOVA

Regression

Expert Solution

Answer:

Pearson Correlation:

Pearson r correlation is the most widely used correlation statistic to measure the degree of the relationship between linearly related variables.

Hence it is used when there is relationship between each of the two variables. The variables should be continuous, and linearly related.

Spearman Correlation:

Spearman rank correlation is a non-parametric test that is used to measure the degree of association between two variables.

Spearman correlation when the data must be at least ordinal and the scores on one variable must be monotonically related to the other variable.

Paired T-Test:

A paired t-test is used when we are interested in the difference between two variables for the same subject. Often the two variables are separated by time. Example is: suppose we are compairing students grade before study and after study then we can use paired t -test.

Variable may be continuous.

Independent T-Test:

The Independent Samples t Test is commonly used to test the Statistical differences between the means of two groups. . Example is: suppose we are checking difference in mean of students grade of male group and female group, then Independent Samples t Test can be used.

Variable type must be continuos.

ANOVA:

Purpose of use is same as Independent Samples t Test, but the number of groups are more than 2.

The ANOVA is commonly used to test the Statistical differences among the means of two or more groups.The groups or variables must be independent of each other. Example is: suppose we are checking difference in students grade of 3 different colleges, then ANOVA can be used.

Variable type must be continuos.

Regression:

Regression analysis is used when you want to predict a continuous dependent variable from a number of independent variables.

orchestra answered 2 years ago

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