1,153 research outputs found
On construction of the smallest one-sided confidence interval for the difference of two proportions
For any class of one-sided confidence intervals with a certain
monotonicity ordering on the random confidence limit, the smallest interval, in
the sense of the set inclusion for the difference of two proportions of two
independent binomial random variables, is constructed based on a direct
analysis of coverage probability function. A special ordering on the confidence
limit is developed and the corresponding smallest confidence interval is
derived. This interval is then applied to identify the minimum effective dose
(MED) for binary data in dose-response studies, and a multiple test procedure
that controls the familywise error rate at level is obtained. A
generalization of constructing the smallest one-sided confidence interval to
other discrete sample spaces is discussed in the presence of nuisance
parameters.Comment: Published in at http://dx.doi.org/10.1214/09-AOS744 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Step-up simultaneous tests for identifying active effects in orthogonal saturated designs
A sequence of null hypotheses regarding the number of negligible effects
(zero effects) in orthogonal saturated designs is formulated. Two step-up
simultaneous testing procedures are proposed to identify active effects
(nonzero effects) under the commonly used assumption of effect sparsity. It is
shown that each procedure controls the experimentwise error rate at a given
level in the strong sense.Comment: Published at http://dx.doi.org/10.1214/009053606000001136 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Isomorphic routing on a toroidal mesh
We study a routing problem that arises on SIMD parallel architectures whose communication network forms a toroidal mesh. We assume there exists a set of k message descriptors (xi, yi), where (xi, yi) indicates that the ith message's recipient is offset from its sender by xi hops in one mesh dimension, and yi hops in the other. Every processor has k messages to send, and all processors use the same set of message routing descriptors. The SIMD constraint implies that at any routing step, every processor is actively routing messages with the same descriptors as any other processor. We call this isomorphic routing. Our objective is to find the isomorphic routing schedule with least makespan. We consider a number of variations on the problem, yielding complexity results from O(k) to NP-complete. Most of our results follow after we transform the problem into a scheduling problem, where it is related to other well-known scheduling problems
A Unified Approach for Constructing Confidence Intervals and Hypothesis Tests Using h-function
We introduce a general method, named the h-function method, to unify the con- structions of level- exact test and 1− exact confidence interval. Using this method, any confidence interval is improved as follows: i) an approximate interval, including a point estimator, is modified to an exact interval; ii) an exact interval is refined to be an interval that is a subset of the previous one. Two real datasets are used to illustrate the method
Extended Quark Potential Model from Random Phase Approximation
The quark potential model is extended to include the sea quark excitation
using the random phase approximation (RPA). The effective quark interaction
preserves the important Quantum Chromodynamics (QCD) properties -- chiral
symmetry and confinement simultaneously. A primary qualitive analysis shows
that the meson as a well-known typical Goldstone boson and the other
mesons made up of valence quark pair such as the meson can
also be described in this extended quark potential model
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