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In: Statistics and Probability

What is the relationship between One-Sample Test, Two-Sample Test, Analysis of Variance, and Regression? How do...

What is the relationship between One-Sample Test, Two-Sample Test, Analysis of Variance, and Regression? How do you decide on which test to perform?

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Expert Solution

These are all different test

one-sample t-test is used when there is only one variable and you want to compare the mean to a specific value

In Two-Sample Test , there are two independent variable, and you want to compare the difference in means between them

In Analysis of Variance or ANOVA , there are greater than or equal to 2 levels

and we compare the means among them

Ho: µ1 = µ2= ..µk

Ha: at least one mean is different

For regression, there is one independent variable and one dependent variable

we want to see how change in independent variable affect dependent variable

y^ =a+ b* x

orchestra answered 2 years ago
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