T Test, F Test and P-value

Question 1

What relation do F and T tests have with variables and parameters?

Answer 1

The number of parameters in a model tell you whether to use an F test or a T test.

Question 2

When would you perform a T test?

Answer 2

When you are testing for one coefficient.

Question 3

When would you perform an F test?

Answer 3

When you are testing for more than one coefficient.

Question 4

What does a T test tell you?

Answer 4

It tells you whether there is a significant difference between the means of two groups.

Question 5

When performing a T-test, what does the null hypothesis assume?

Answer 5

There is no significant difference between the means of the groups

Question 6

What does an F test tell you?

Answer 6

Assesses whether the explanatory variables, as a group, have a statistically significant effect on the dependent variable.

Question 7

What relation does the Hypothesis have with the F test?

Answer 7

• Null hypothesis for the F test is that all the coefficients of the explanatory variables in the model are equal to zero
• Alternative hypothesis is that at least one coefficient is not equal to zero indicating there is a significant overall effect

Question 8

What is the P-values relation to the F test and T test?

Answer 8

When the p value is less than a chosen significance level (0.05) you reject the null hypothesis.