One- and Two-Tailed Tests (4 of 4)
Next section: Confidence intervals and
hypothesis testing
One-tailed and two-tailed tests have the same
Type
I error rate. One-tailed tests are sometimes used when the experimenter
predicts the direction of the effect in advance. This use of one-tailed
tests is questionable because the experimenter can only reject the null
hypothesis if the effect is in the predicted direction. If the effect
is in the other direction, then the null hypothesis cannot be rejected
no matter how strong the effect is. A skeptic might question whether the
experimenter would really fail to reject the null hypothesis if the effect
were strong enough in the wrong direction. Frequently the most interesting
aspect of an effect is that it runs counter to expectations. Therefore,
an experimenter who committed himself or herself to ignoring effects in
one direction may be forced to choose between ignoring a potentially important
finding and using the techniques of statistical inference dishonestly.
One-tailed tests are not used frequently. Unless otherwise indicated,
a test should be assumed to be two-tailed.
Next section: Confidence intervals and
hypothesis testing