Judaism and Higher Criticism

Higher Criticism for Detecting Sparse Heterogeneous Mixtures

Higher Criticism, or second-level significance testing, is a multiple comparisons concept mentioned in passing by Tukey (1976). It concerns a situation where there are many independent tests of significance and one is interested in rejecting the joint null hypothesis. Tukey suggested to compare the fraction of observed significances at a given α-level to the expected fraction under the joint nu...

Properties of Higher Criticism under Strong Dependence

The problem of signal detection using sparse, faint information is closely related to a variety of contemporary statistical problems, including the control of false-discovery rate, and classification using very high-dimensional data. Each problem can be solved by conducting a large number of simultaneous hypothesis tests, the properties of which are readily accessed under the assumption of inde...

Higher Criticism Statistic: Theory and Applications in Cosmology and Astronomy

Higher Criticism is a recent statistic proposed by Donoho and Jin [1] where it has been shown to be effective at resolving a very subtle testing problem: test whether n normal means are all zero versus the alternative that a small fraction is non-zero. Higher Criticism is also useful for non-Gaussian detection. Motivated by the recent problem of detecting cosmic strings, we consider a setting i...

Judaism and women's health.

©FSRH J Fam Plann Reprod Health Care 2009: 35(1) Jewish law Jewish law consists of two sections: written law and oral law. The foundation of the written law and the origin of its authority is the Torah, the first five books of the Bible. The Torah is traditionally believed to have been given in a theophany on Mount Sinai and to contain the literal direct word of God. After the destruction of th...

Behavioral and Phenomenological Judaism