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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3031

Title: Some statistical heresies
Authors: LINDSEY, James
Issue Date: 1999
Publisher: BLACKWELL PUBL LTD
Citation: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES D-THE STATISTICIAN, 48. p. 1-26
Abstract: Shortcomings of modem views of statistical inference have had negative effects on the image of statistics, whether through students, clients or the press. Here, I question the underlying foundations of modern inference, including the existence of 'true' models, the need for probability, whether frequentist or Bayesian, to make inference statements, the assumed continuity of observed data, the ideal of large samples and the need for procedures to be insensitive to assumptions. In the context of exploratory inferences, I consider how much can be done by using minimal assumptions related to interpreting a likelihood function. Questions addressed include the appropriate probabilistic basis of models, ways of calibrating likelihoods involving differing numbers of parameters, the roles of model selection and model checking, the precision of parameter estimates, the use of prior empirical information and the relationship of these to sample size. I compare this direct likelihood approach with classical Bayesian and frequentist methods in analysing the evolution of cases of acquired immune deficiency syndrome in the presence of reporting delays.
Notes: Limburgs Univ Ctr, Dept Biostat, B-3590 Diepenbeek, Belgium.Lindsey, JK, Limburgs Univ Ctr, Dept Biostat, Univ Campus, B-3590 Diepenbeek, Belgium.
URI: http://hdl.handle.net/1942/3031
ISI #: 000079213200001
ISSN: 0039-0526
Type: Journal Contribution
Validation: ecoom, 2000
Appears in Collections: Research publications

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