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3 results

A General Model for Preferential and Triadic Choice in Terms of Central F Distribution Functions
Daniel M. Ennis, Norman L. Johnson
Journal:

Psychometrika / Volume 59 / Issue 1 / March 1994

Published online by Cambridge University Press:

01 January 2025, pp. 91-96
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A model for preferential and triadic choice is derived in terms of weighted sums of central F distribution functions. This model is a probabilistic generalization of Coombs' (1964) unfolding model and special cases, such as the model of Zinnes and Griggs (1974), can be derived easily from it. This new form extends previous work by Mullen and Ennis (1991) and provides more insight into the same problem that they discussed.

11 - Analysis of Variance (ANOVA)
from Part 3
Daniel S. Scheller, Texas Tech University
Book:

Elementary Statistics for Public Administration

Published online:

01 November 2024

Print publication:

12 September 2024, pp 217-227
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Summary

Analysis of Variance (ANOVA) is a commonly used test in public administration research when the dependent variable is measured at the interval level and the independent variable is measured at the nominal level with more than two categories.The chapter covers when and how to use ANOVA along with the assumptions of the ANOVA test.Conducting ANOVA in the R Commander and interpreting the output and statistical significance of the test are the main foci of the chapter.

On the quantiles of the gamma and F distributions
I. W. Saunders, P. A. P. Moran
Journal:

Journal of Applied Probability / Volume 15 / Issue 2 / June 1978

Published online by Cambridge University Press:

14 July 2016, pp. 426-432

Print publication:

June 1978
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We show, in the context of a neurobiological problem, that ζ a(α)−ζ a(β) increases with a, while ζ a (α)/ζ a (β) decreases with a, where 0 < β < α < 1 and ζ a (α) is the α th quantile of either the gamma distribution with shape parameter a, or a scaled F distribution with parameters 2a and 2m for any m.

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