English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Department of Defense contractors must be established for ASTIA services, or have their " need-to-know" certified by the cognizant military agency of their project or contract. O. ~~. The paper is mainly concerned with the f'ollowing mUltiple comparisons problem in the analysis of variance setting. In a balanced experiment n treatments are to be compared. Each of the n(n-l)/2 pairwise comparisons is to be made, adjudging each difference as "positive", "negative", or "not significant"; overall decisions involving intransitivities are barred. The loss for each difference is proportional to the error; if a difference is asserted incorrectly the loss has proportionality constant k l + k > k which is the proportion-o 0 ality constant if "not-significant" is the (incorrect) conclusion. Total loss for the experiment is taken as the sum of the n(n-l)/2 component losses. The Bayes rule is shown as a result to consist in the simultaneous application of Bayes rules to the n(n-l)/2 component problems. Each of these in turn is phown similarly to consist in the simultaneous application of Bayes rules to two subcomponent problems into which each can be further decomposed. The subcomponent Bayes rule for a normal prior density of treatment means is explicitly derived. The dependencies of the solution on the variance of the prior density, the degrees of freedom and the loss ratio kl/k o are discussed. A principal 2 finding is that the Bayes solution for the multiple comparisons problem corresponds to a tolerated error probability "of the first kind" for each single difference, which is independent of the number of treatments being compared.

Bayes Rules for a Common Multiple Comparisons Problem and Related Student- $t$ Problems