The Coverage Probability of Confidence Intervals in 2r factorial Experiments after Preliminary Hypothesis Testing

Speaker: Khageswor Giri

We consider a 2r factorial experiment with at least two replicates. Our aim is to find a confidence interval for θ, a specified linear combination of regression parameters. We suppose that preliminary hypothesis tests are carried out sequentially beginning with the rth order interaction. After these preliminary hypothesis tests, a confidence interval for θ with nominal coverage 1-α is constructed under the assumption that the selected model is given to us a priori. We call this the naïve 1-α confidence interval for θ. We describe a new efficient Monte Carlo method, which employs conditioning for variance reduction, for estimating the minimum coverage probability of the naïve confidence interval. The application of this method is demonstrated in the context of a 23 factorial experiment with 2 replicates and a particular contrast θ of interest. The naïve confidence interval, with nominal coverage probability 0.95, has minimum coverage probability that is, to a good approximation, 0.464. This shows that the naïve confidence interval is completely inadequate.

Seminar Convenor: Dr Andrily Olenko
AGR IT support: Dr Darren Condon

Motives, Quantum Field Theory and Pseudodifferential Operators

Boston University, USA.

The conference will explore the developing relationships among the fields of motives, quantum field theory, and pseudodifferential operators. The first week of the conference will feature introductory lectures on each of the three fields; the second will feature introductory lectures on Hopf algebras and QFT. Both weeks will also have advanced lectures on research topics.

Organisers:

Alan Carey (ANU)

David Ellwood (Clay Inst.)

Sylvie Paycha (Clermont)

Steven Rosenberg (Boston)

Contact:

qftconference@math.bu.edu

Call for participation and posters

The series of winter schools is designed to introduce mathematical, computational biology and bioinformatics to advanced undergraduate and postgraduate students, postdoctoral researchers and others working in the fields of mathematics, statistics, computer science, information technology, complex systems analysis, and biological, chemical and medical sciences and engineering.

The talks will be given by lectures, many of whom are national and international authorities, selected for their ability to make their topic accessible to non-specialists, but at the same time exciting to those who already have some previous knowledge.

A session of posters will be held during the Winter School, as an opportunity for the students to show research results and ongoing projects. All proposals will be reviewed and acceptance will be based on quality and relevance. Prizes will be awarded for the best posters.

Important dates:
Poster proposal due: 30 May 2008
Early bird registration due: 20 June 2008

Computational Techniques and Applications Conference 2008

As a special event CTAC08 will also be honouring Professor Ian Sloan on his 70th birthday.

The current list of invited speakers includes:

• Linda Petzold (UC Santa Barbara)
• David Keyes (Columbia)
• Wolfgang Wendland (Stuttgart)
• Susanne Brenner (Louisiana State)
• Larry Forbes (Tasmania)

Dates

early-bird regⁿ: opens 13 Feb. 2008

abstracts due: 1 March 2008