Haolun Shi, Guosheng Yin.

Source: Bayesian Analysis, Volume 14, Number 2, 399--425.

Abstract:
Bayesian approaches to phase II clinical trial designs are usually based on the posterior distribution of the parameter of interest and calibration of certain threshold for decision making. If the posterior probability is computed and assessed in a sequential manner, the design may involve the problem of multiplicity, which, however, is often a neglected aspect in Bayesian trial designs. To effectively maintain the overall type I error rate, we propose solutions to the problem of multiplicity for Bayesian sequential designs and, in particular, the determination of the cutoff boundaries for the posterior probabilities. We present both theoretical and numerical methods for finding the optimal posterior probability boundaries with $alpha$ -spending functions that mimic those of the frequentist group sequential designs. The theoretical approach is based on the asymptotic properties of the posterior probability, which establishes a connection between the Bayesian trial design and the frequentist group sequential method. The numerical approach uses a sandwich-type searching algorithm, which immensely reduces the computational burden. We apply least-square fitting to find the $alpha$ -spending function closest to the target. We discuss the application of our method to single-arm and double-arm cases with binary and normal endpoints, respectively, and provide a real trial example for each case.

London (33 Stillness Rd, London, SE23 1NG) : Cleanair, Campaign for a Smoke-free Environment, [198-?]

London (33 Stillness Rd, London, SE23 1NG) : Cleanair, Campaign for a Smoke-free Environment, [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London (33 Stillness Rd, SE23 1NG) : Cleanair, Campaign for a Smoke-free Environment, [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London (33 Stillness Rd, London, SE23 1NG) : Cleanair, Campaign for a Smoke-free Environment, [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London (33 Stillness Rd, London, SE23 1NG) : Cleanair, Campaign for a Smoke-free Environment, [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair, Smoke-free Environment (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair (33 Stillness Rd, London, SE23 1NG), [1989?]

London : Cleanair (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair (33 Stillness Rd, London, SE23 1NG), [198-?]

London : Cleanair (33 Stillness Rd, London, SE23 1NG), [198-?]

London (33 Stillness Road London SE23 1NG) : Cleanair Campaign for a Smoke-free Environment, [198-?]

London (33 Stillness Road, London SE23 ING) : Cleanair, [198-?]

[London?], [199-?]

[London?], 6th November 1989.

London, 26 January 2003.

London, [29 January 1994]

In New York City, a desperate need among healthcare workers has pushed to the forefront the question: Is homemade equipment safe to use?

Modified hospital designs have become necessary as the first wave of the pandemic tears through U.S. communities

A prototype deployed in San Francisco Bay imagines the underside of a floating building as an upside-down artificial reef

The graphic designer is receiving a Lifetime Achievement Award from Cooper Hewitt for her recognizable computer icons, typefaces and graphics

Press release: Basel Committee invites comments on the design of a prudential treatment for crypto-assets, 12 December 2019.

New England head coach Bill Belichick said not taking a quarterback in the Patriots' first post-Tom Brady draft "wasn't by design."

Kevin Khungay played high school basketball. His friend's older brother Sunny Basran was his coach. Years later, their unique designs are worn by some of the sports biggest stars.

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Netherlands Bank DNB Occasional Studies by Peter Wierts and Harro Boven

Purifying and culturing cells from the central nervous system (CNS) has proved to be an incredibly powerful tool for dissecting fundamental neuron and glial properties, and especially powerful in understanding neuronal–glial interactions. In a series of detailed protocols, we have provided step-by-step instructions for purifying and culturing specific types of neurons, glia, and vascular cells from the CNS by immunopanning. This article discusses common pitfalls and errors as well as important design considerations for the immunopanning procedure.