Faster algorithm to find anti-risk path between two nodes of an undirected graph

For a weighted 2-edge connected graph G=(V,E), we are to find a “minimum risk path” from source s to destination t. This is a shortest s?t path under the assumption that at most one edge on the path may be blocked. The fact that the edge is blocked is known only when we reach a site adjacent to the blocked edge. If n and m are the number of nodes and edges of G, then we show that this problem can be solved in O(n ²) time using only simple data structures. This is an improvement over the previous O(mn+n ²logn) time algorithm. Moreover, with use of more complicated data structures like Fibonacci Heaps and transmuters the time can be further reduced to O(m+nlogn).     

Utilizing Bayesian predictive power in clinical trial design

The Bayesian paradigm provides an ideal platform to update uncertainties and carry them over into the future in the presence of data. Bayesian predictive power (BPP) reflects our belief in the eventual success of a clinical trial to meet its goals. In this paper we derive mathematical expressions for the most common types of outcomes, to make the BPP accessible to practitioners, facilitate fast computations in adaptive trial design simulations that use interim futility monitoring, and propose an organized BPP-based phase II-to-phase III design framework.     

Volunteering in Retirement and Its Impact on Seniors Subjective Quality of Life Through Personal Outlook: A Study of Older Australians

VOLUNTAS: International Journal of Voluntary and Nonprofit Organizations - This study examines the subjective quality of life of globally expanding senior citizens post-retirement, from a...     

An update on ‘a comparative study of tests for homogeneity of variance’

Tests for equality of variances using independent samples are widely used in data analysis. Conover et al. [A comparative study of tests for homogeneity of variance, with applications to the outer continental shelf bidding data. Technometrics. 1981;23:351–361], won the Youden Prize by comparing 56 variations of popular tests for variance on the basis of robustness and power in 60 different scenarios. None of the tests they compared were robust and powerful for the skewed distributions they considered. This study looks at 12 variations they did not consider, and shows that 10 are robust for the skewed distributions they considered plus the lognormal distribution, which they did not study. Three of these 12 have clearly superior power for skewed distributions, and are competitive in terms of robustness and power for all of the distributions considered. They are recommended for general use based on robustness, power, and ease of application.     

A Rejection Principle for Sequential Tests of Multiple Hypotheses Controlling Familywise Error Rates

We present a unifying approach to multiple testing procedures for sequential (or streaming) data by giving sufficient conditions for a sequential multiple testing procedure to control the familywise error rate (FWER). Together, we call these conditions a ‘rejection principle for sequential tests’, which we then apply to some existing sequential multiple testing procedures to give simplified understanding of their FWER control. Next, the principle is applied to derive two new sequential multiple testing procedures with provable FWER control, one for testing hypotheses in order and another for closed testing. Examples of these new procedures are given by applying them to a chromosome aberration data set and finding the maximum safe dose of a treatment.     

Hospital-to-community transitions. A bridge program for adolescent mental health patients

Making the transition from the hospital to a community setting can be extremely challenging for patients with acute mental health conditions. Transitional services have been created to help patients overcome difficulties associated with this transition. Nurses frequently play an integral role in the success of these services. By providing patients with individualized support during such transitions, nurses act as clinical liaisons and directly contribute to an increase in positive patient and system-level outcomes. This article describes a transitional service called the Bridge Program, designed to help adolescents make a successful transition from the hospital to the community. An overview of the Bridge Program is provided, and the results of an evaluation of this program are presented. Results suggest that the Bridge Program contributes to a decrease in the length of hospital stays and improves continuity of care for patients and their families.     

Disparities in Healthcare Utilization Among Adults with Obesity in the United States,Findings from the NHIS: 2006–2015

Population Research and Policy Review - Few studies of disparities consider logistical hurdles faced by adults with obesity in obtaining needed healthcare. This study compared adults with obesity...