Resolving Neyman's Paradox
Bibliographic Data
| ID | 8399174 |
|---|---|
| Authors | Max Albert (0000-0002-0097-1654, corresponding author) |
| Year | 2002 |
| Volume | 53 |
| Issue | 1 |
| Pages | 69-76 |
| Publication date | 2002-03-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The British Journal for the Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/53.1.69 |
| OpenAlex | W2022243685 |
| Language | EN |
| Citations received | 1 |
| References cited | 10 |
According to Fisher, a hypothesis specifying a density function for X is falsified (at the level of significance α) if the realization of X is in the size‐α region of lowest densities. However, non‐linear transformations of X can map low‐density into high‐density regions. Apparently, then, falsifications can always be turned into corroborations (and vice versa) by looking at suitable transformations of X (Neyman's Paradox). The present paper shows that, contrary to the view taken in the literature, this provides no argument against a theory of statistical falsification.
Argument (complex analysis) · Calculus (dental) · Econometrics · Epistemology · Function (biology) · Mathematical economics · Probability density function · Realization (probability) · Statistical hypothesis testing · Statistics · Computational Drug Discovery Methods · Computer Science · Mathematics · Philosophy · Philosophy and History of Science · Statistical Mechanics and Entropy
Behavioristic Points of View on Mathematical Statistics11prepared With the Partial Support of the National Science Foundation, Grant Gp-10
Logic of Statistical Inference
A Falsifying Rule for Probability Statements
The Logic of Tests of Significance
An Objective Theory of Probability
Logical versus Historical Theories of Confirmation
Bayes and Bust
On Neyman's Paradox and the Theory of Statistical Tests
| Unique citing works | 1 |
|---|---|
| Citations per year | 0,25 |
| Citation span | 2022 - 2022 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |