L26 - Paired t-test Earlier tested 1 = 2 using two inde-...

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Unformatted text preview: Paired t-test Earlier tested 1 = 2 using two inde- pendent random samples { X 1 ,...,X n 1 } and { Y 1 ,...,Y n 2 } from N ( 1 , 2 1 ) ,N ( 2 , 2 2 ) populations. Basis: X- Y N 1- 2 , 2 1 n 1 + 2 2 n 2 2-sample Z or 2-sample t , depending on whether variances were known or not. 1 Variance both populations added. In- crease in noise so harder to reject H because standard deviation denom- inator reduces magnitude of Z or T ra- tio(equivalently wider confidence inter- vals). As a result, statistical test may not be sensitive to small differences in signal 1- 2 . Sometimes experiment can be designed in advance to reduce variation in the population by pairing observations and taking differences before analysing. 2 Example 4.6-3, p 267 . Test whether knowl- edge of basic statistical concepts improved af- ter a short course given to engineers....
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This note was uploaded on 01/03/2012 for the course EE 1244 taught by Professor Drera during the Fall '10 term at Conestoga.

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L26 - Paired t-test Earlier tested 1 = 2 using two inde-...

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