Howard, J. V. (2009) Significance testing with no alternative hypothesis: a measure of surprise. Erkenntnis, 70 (2). pp. 253-270. ISSN 0165-0106
A pure significance test would check the agreement of a statistical model with the observed data even when no alternative model was available. The paper proposes the use of a modified p-value to make such a test. The model will be rejected if something surprising is observed (relative to what else might have been observed). It is shown that the relation between this measure of surprise (the s-value) and the surprise indices of Weaver and Good is similar to the relationship between a p-value, a corresponding odds-ratio, and a logit or log-odds statistic. The s-value is always larger than the corresponding p-value, and is not uniformly distributed. Difficulties with the whole approach are discussed.
|Additional Information:||© 2009 Springer|
|Library of Congress subject classification:||H Social Sciences > HA Statistics|
|Sets:||Departments > Management|
|Date Deposited:||07 Apr 2011 11:39|
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