Multiple testing problems in pharmaceutical statistics

Partial Knowledge in Multiple-Choice Testing

The intent of this study was to discover the nature of (partial) knowledge as estimated by the multiple-choice (MC) test method. An MC test of vocabulary, including 20 items, was given to 10 participants. Each examinee was required to think aloud while focusing on each item before and while making a response. After each test taker was done with each item, s/he was ...

Bayesian models based on test statistics for multiple hypothesis testing problems

MOTIVATION We propose a Bayesian method for the problem of multiple hypothesis testing that is routinely encountered in bioinformatics research, such as the differential gene expression analysis. Our algorithm is based on modeling the distributions of test statistics under both null and alternative hypotheses. We substantially reduce the complexity of the process of defining posterior model pro...

On Multiple Input Problems in Property Testing

We consider three types of multiple input problems in the context of property testing. Specifically, for a property Π ⊆ {0, 1}n, a proximity parameter ǫ, and an integer m, we consider the following problems: 1. Direct m-Sum Problem for Π and ǫ: Given a sequence of m inputs, output a sequence of m bits such that for each i ∈ [m] the i bit satisfies the requirements from an ǫ-tester for Π regardi...

Compound p-value statistics for multiple testing procedures

Many multiple testing procedures make use of the p-values from the individual pairs of hypothesis tests, and are valid if the p-value statistics are independent and uniformly distributed under the null hypotheses. However, it has recently been shown that these types of multiple testing procedures are inefficient since such p-values do not depend upon all of the available data. This paper provid...

Inverse Problems in Statistics