On the multivariatek-sample problem and the generalization of the Kolmogorov-Smirnov-test

Ahmad, Rauf

doi:10.1007/bf02504744

Cited by 6 publications

(1 citation statement)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unfortunately, these methods are most sensitive to changes in the location of a distribution and may ignore important trends in shape. In contrast, k ‐sample tests based on empirical distribution functions (e.g., Kiefer, 1959; Ahmad, 1976) are sensitive to changes in distribution shape, but not changes in location and scale.…”

Section: Introductionmentioning

confidence: 94%

Nonparametric Bayes Testing of Changes in a Response Distribution with an Ordinal Predictor

Pennell

Dunson

2008

Biometrics

View full text Add to dashboard Cite

In certain biomedical studies, one may anticipate changes in the shape of a response distribution across the levels of an ordinal predictor. For instance, in toxicology studies, skewness and modality might change as dose increases. To address this issue, we propose a Bayesian nonparametric method for testing for distribution changes across an ordinal predictor. Using a dynamic mixture of Dirichlet processes, we allow the response distribution to change flexibly at each level of the predictor. In addition, by assigning mixture priors to the hyperparameters, we can obtain posterior probabilities of no effect of the predictor and identify the lowest dose level for which there is an appreciable change in distribution. The method also provides a natural framework for performing tests across multiple outcomes. We apply our method to data from a genotoxicity experiment.

show abstract

Section: Introductionmentioning

confidence: 94%

Nonparametric Bayes Testing of Changes in a Response Distribution with an Ordinal Predictor

Pennell

Dunson

2008

Biometrics

View full text Add to dashboard Cite

show abstract

On Goodness-of-Fit Structure of Some Deterministic and Stochastic Models for Expanding Economies

Ahmad

1978

Control of Distributed Parameter Systems

View full text Add to dashboard Cite

On Goodness-of-Fit Structure of Some Deterministic and Stochastic Models for Expanding Economies

Ahmad¹

1977

IFAC Proceedings Volumes

View full text Add to dashboard Cite

On the multivariatek-sample problem and the generalization of the Kolmogorov-Smirnov-test

Cited by 6 publications

References 3 publications

Nonparametric Bayes Testing of Changes in a Response Distribution with an Ordinal Predictor

Nonparametric Bayes Testing of Changes in a Response Distribution with an Ordinal Predictor

On Goodness-of-Fit Structure of Some Deterministic and Stochastic Models for Expanding Economies

On Goodness-of-Fit Structure of Some Deterministic and Stochastic Models for Expanding Economies

Contact Info

Product

Resources

About