Tests of Significance Violate the Rule of Implication

Abstract
The rule of implication, (+) If hypothesis H implies hypothesis I, then evidence sufficient to warrant the rejection of I, in turn warrants the rejection of H, is a very plausible principle of inductive inference. It is shown that significance tests violate this principle. Two ways to account for this violation are considered; neither account is fully satisfactory. First, a distinction might be made between the absolute degree of confirmation and the change in the degree of confirmation due to a specific result. Measures of the change in the degree of confirmation need not obey the rule of implication. Unfortunately, it is difficult to interpret significance tests as a measure of the change in degree of confirmation of an hypothesis. Second, it might be observed that hypotheses are sought that are informative as well as faithful to observations. Amalgamating a measure of informativeness with a measure of faithfulness can result in violations of the rule of implication. Unfortunately, it is unclear why significance tests amalgamating measures of informativeness and faithfulness are desirable.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,371
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA

No citations found.

Similar books and articles
Christian List (2004). On the Significance of the Absolute Margin. British Journal for the Philosophy of Science 55 (3):521-544.
Deborah G. Mayo (1991). Novel Evidence and Severe Tests. Philosophy of Science 58 (4):523-552.
Analytics

Monthly downloads

Added to index

2011-05-29

Total downloads

6 ( #206,947 of 1,102,874 )

Recent downloads (6 months)

4 ( #84,702 of 1,102,874 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.