Topic
Noncentral beta distribution
About: Noncentral beta distribution is a research topic. Over the lifetime, 20 publications have been published within this topic receiving 278 citations.
Papers
TL;DR: The dual pair method appears to be slightly less powerful than the duotrio and the triangular methods, and a formula to determine the sample size required to meet Type I and Type II error specifications is given.
Abstract: The Institute for Perception, Richmond, Virginia In the dual pair method, the subject is presented with two stimuli in two pairs: One pair is composed of two samples of the same stimulus; the other pair is composed of two samples of different stimuli, one being the same as that in the identical pair. The task of the judge is to select the most different pair. The psychometric function for the dual pair method is derived and expressed in terms of a singly noncentral beta distribution. A table is provided that connects a measure of the degree of difference, d , to the probability of a correct response. This table assumes an unbiased observer and differencing decision rule. A table is provided to give an estimate of the variance of d¢, the experimental estimate of d. The power of the dual pair method is also investigated, and a formula to determine the sample size required to meet Type I and Type II error specifications is given. The dual pair method appears to be slightly less powerful than the duotrio and the triangular methods. Experimental investigation is needed to explore the dual pair in applied research work.
46 citations
TL;DR: The sampling distribution of coherence estimate between one random and one periodic signal was shown to follow a noncentral beta distribution, which is useful in further investigations to obtain the moments of the estimate.
Abstract: The sampling distribution of coherence estimate between one random and one periodic signal was shown to follow a noncentral beta distribution. This result is useful in further investigations to obtain the moments of the estimate. The plots of the probability density function (pdf) also provide an indication of its bias and random variability. Alternative algorithms for expressing this distribution were developed based on central and noncentral F pdf. The latter is exact and the first, an approximation which was shown to be suitable in practical situations. The zero-coherence case was obtained as special case when the noncentrality parameter is zero.
40 citations
TL;DR: Four similar approximations for noncentral beta variables are compared and it is concluded that three of them are sufficiently good for most practical purposes.
Abstract: In part 1 we give two approximations where a linear combination of central beta variables is approximated by a single beta variable. Extensive numerical computations are done to compare these approximations for the case of two central beta variable with parameters (b1,a1), (b2,a2) with a special attention for the case b1 √ b2. They show that these approximations are sufficiently good for most cases. The second part of this paper compare four similar approximations for noncentral beta variables and conclude that three of them are sufficiently good for most practical purposes.
32 citations
32 citations
TL;DR: McKay's chi-square approximation for the coefficient of variation is type II noncentral beta distributed and asymptotically normal with mean n - 1 and variance smaller than 2 (n - 1 ).
22 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2019 | 2 |
| 2016 | 1 |
| 2008 | 2 |
| 2006 | 1 |
| 2004 | 2 |
| 2001 | 1 |