Outline

 

Discuss Type I and Type II Errors

 

Introduce the concept of power

 

Discuss ways to increase power

 

 

Decision Making Outcomes

 


                                                                        Actual Situation

 

                                                            H0 True                                 H0 False

 

                        Reject H0                     Type I error                     Correct

Decision                                                                                      Decision

                                                                                                          (Power)

                        Retain H0                             Correct                           Type II   error

                                                            Decision

 

 


POWER

 

The power of a statistical test is the probability that the test will correctly reject a false null hypothesis.

 

 

Another related definition is that power is the probability of obtaining sample data in the critical region when the null hypothesis is false.

 

 

WAYS TO INCREASE POWER

 

1.        Increase the alpha level (e.g. from .01 to .05).

Any factor that causes more of the treatment distribution to be in the critical region will increase power.

 

 

 

2.        Changing from a two-tailed (non-directional) to a one-tailed test.

 

 

 

3.        Increase the sample size (this reduces standard error).

 

 

4.        Make sure that the treatment is strong enough (this may require pilot testing)