What question did this study set out to answer?

The aim is to present a Bayesian approach to testing sharp hypotheses using weighted likelihood ratios.

The Weighted Likelihood Ratio, Sharp Hypotheses about Chances, the Order of a Markov Chain

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Randomized trial tests sharp hypotheses about chances, showing new applications for Markov chains.

The aim is to present a Bayesian approach to testing sharp hypotheses using weighted likelihood ratios.
Examined fixed parameter hypotheses with arbitrary prior probabilities.
Calculated the ratio of posterior to prior odds using the weighted likelihood ratio.
Applied the methodology to multinomial means and evaluated binomial probabilities.
The weighted likelihood ratio was shown to equal Savage's posterior to prior density ratio (2.21).
Introduced a new test for determining the order of a finite-state Markov chain.

Dickey et al. (1970) studied this question.

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