Testing for positive evidence of equally likely outcomes
Goodness-of-fit tests allow one to conclude that k possible outcomes are not equally likely. In this paper, we develop an exact equivalence test that allows one to conclude that k possible outcomes are approximately equally likely. We show that the power properties of the test compare favorably to those of possible alternative tests, and we develop an associated simultaneous confidence interval procedure. We apply the test to data sets on the digits of [pi], winning roulette numbers, and winning numbers from the Pennsylvania Lottery.
Year of publication: |
2012
|
---|---|
Authors: | Frey, Jesse |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 103.2012, 1, p. 48-57
|
Publisher: |
Elsevier |
Keywords: | Digits of [pi] Equivalence testing Intersection-union testing Multinomial distribution Roulette Testing uniformity |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
Fixed-Width Sequential Confidence Intervals for a Proportion
Frey, Jesse, (2010)
-
Frey, Jesse, (2012)
-
An improved mean estimator for judgment post-stratification
Frey, Jesse, (2012)
- More ...