PROPHET StatGuide: Two-sample paired t test
The two-sample paired t test is used to test the null hypothesis that the
population
mean of the paired differences
of the two samples is 0.
Assumptions:
Note that it is not assumed that the two samples are
independent of each other.
In fact, they should be related to each other such that
they create pairs of data points, such as the measurements
on two matched people in a case/control study, or
before- and after-treatment measurements on the same person.
The two-sample paired t test is equivalent to performing
a one-sample t test on the
paired differences.
Guidance:
Ways to detect before performing the
paired t test whether your data violate any
assumptions.
Ways to examine paired t test results to detect
assumption violations.
Possible alternatives if your data or paired t test
results indicate assumption violations.
To properly analyze and interpret
results of the two-sample paired t test,
you should be familiar with the
following terms and concepts:
If you are not familiar with these terms and concepts, you are advised to
consult with a statistician. Failure to understand and properly apply the
two-sample paired t test may result in drawing erroneous conclusions from your data.
Additionally, you may want to consult the following references:
- Brownlee, K. A. 1965. Statistical Theory and Methodology
in Science and Engineering. New York: John Wiley & Sons.
- Daniel, Wayne W. 1995. Biostatistics. 6th ed.
New York: John Wiley & Sons.
- Miller, Rupert G. Jr. 1986. Beyond ANOVA, Basics of Applied
Statistics. New York: John Wiley & Sons.
- Rosner, Bernard. 1995. Fundamentals of Biostatistics.
4th ed. Belmont, California: Duxbury Press.
- Sokal, Robert R. and Rohlf, F. James. 1995. Biometry. 3rd. ed.
New York: W. H. Freeman and Co.
- Zar, Jerrold H. 1996. Biostatistical Analysis. 3rd ed. Upper Saddle River, NJ:
Prentice-Hall.
Do a keyword search of PROPHET
StatGuide.
Back to StatGuide t test page.
Back to StatGuide home page.
Last modified: March 18, 1997
©1996 BBN Corporation All
rights reserved.
Examine the glossary.