Statistical evidence and sample size determination for Bayesian hypothesis testing

2004 ◽  
Vol 124 (1) ◽  
pp. 121-144 ◽  
Author(s):  
Fulvio De Santis
Keyword(s):  
Hypothesis Testing ◽  
Sample Size ◽  
Statistical Evidence ◽  
Sample Size Determination ◽  
Size Determination ◽  
Bayesian Hypothesis Testing

scholarly journals Probability that p-value provides misleading evidence cannot be controlled by sample size

2017 ◽  
Author(s):  
Marian Grendar ◽  
George G Judge
Keyword(s):  
Sample Size ◽  
Bayes Factor ◽  
Statistical Evidence ◽  
Sample Size Determination ◽  
P Value ◽  
Size Determination ◽  
Misleading Evidence

A measure of statistical evidence should permit the sample size determination so that the probability M of obtaining (strong) misleading evidence can be held as low as desired. On this desideratum the p-value fails completely, as it leads either to an arbitrary sample size if M >= 0.01 or no sample size at all, if M < 0.01. Unlike the p-value, the ratio of likelihoods, the ratio of posteriors, as well as the Bayes Factor, permit controlling the probability of misleading evidence by the sample size.

scholarly journals Probability that p-value provides misleading evidence cannot be controlled by sample size

2017 ◽  
Author(s):  
Marian Grendar ◽  
George G Judge
Keyword(s):  
Sample Size ◽  
Bayes Factor ◽  
Statistical Evidence ◽  
Sample Size Determination ◽  
P Value ◽  
Size Determination ◽  
Misleading Evidence

A measure of statistical evidence should permit the sample size determination so that the probability M of obtaining (strong) misleading evidence can be held as low as desired. On this desideratum the p-value fails completely, as it leads either to an arbitrary sample size if M >= 0.01 or no sample size at all, if M < 0.01. Unlike the p-value, the ratio of likelihoods, the ratio of posteriors, as well as the Bayes Factor, permit controlling the probability of misleading evidence by the sample size.

scholarly journals Hypothesis testing, power and sample size determination for between group comparisons in fMRI experiments

2009 ◽  
Vol 6 (2) ◽  
pp. 133-146 ◽  
Author(s):  
Dulal K. Bhaumik ◽  
Anindya Roy ◽  
Nicole A. Lazar ◽  
Kush Kapur ◽  
Subhash Aryal ◽  
...  
Keyword(s):  
Hypothesis Testing ◽  
Sample Size ◽  
Sample Size Determination ◽  
Size Determination ◽  
Testing Power ◽  
Group Comparisons
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