Quality of Tests Flashcards
1
Q
A Type l error
A
- A Type l error is when you reject the null hypothesis when it is in fact true.
- The probability of a type 1 error is the same as the actual significance level of the hypothesis test
2
Q
A Type ll error
A
- A Type ll error is when you accept the null hypothesis when it is in fact false
- P(being in the acceptance region, when using a new value given for Ho, as Ho is false)
3
Q
Size of a test is equal to
A
The Type l error
4
Q
Size of a test
A
- The probability of rejecting the null hypothesis when it is in fact true
- Equal to the Type l error
5
Q
Power of a test
A
- Probability of rejecting the null hypothesis when it is not true (how likely the test is to be effective)
6
Q
Calculating the power of a test
A
Power = 1- P(Type ll error) = P(being in the critical region when the null hypothesis is false)
7
Q
The power function of a test
A
The function of a parameter, θ, which gives the probability that the test statistic will fall in the critical region of the test if θ is the true value of the parameter
8
Q
When comparing two tests of comparable size
A
- You should recommend the test with the higher power within the likely range of the parameter
