On uncertainty of a proportion from a stratified random sample of a small population

This article considers the uncertainty of a proportion based on a stratified random sample of a small population. Using the hypergeometric distribution, a Clopper–Pearson type upper confidence bound is presented. Another frequentist approach that uses the estimated variance of the proportion estimator is also considered as well as a Bayesian alternative. These methods are demonstrated with an illustrative example. Some aspects of planning, that is, the impact of specified strata sample sizes, on uncertainty are studied through a simulation study.     

Some empirical observations of relevance to the analysis of union wage determination

Six important empirical characteristics of the union sector need to be incorporated into future research on wage determination. These are 1) the extent of unionization, 2) the statistical correlates of unionization, 3) divergent trends in union and nonunion earnings, 4) union/nonunion wage differentials, 5) the determinants of union and nonunion wage change, and 6) wage imitation. Examination of these characteristics suggests the following about union wage determination. Union wages have advanced relative to nonunion since the mid 1950s, despite relative shrinkage of the union sector. Union wage changes show less sensitivity to business-cycle pressures than nonunion. Limited spheres of wage imitation surround certain major union negotiations. These observations can be fitted into recent analyses of wage determination under long-term employer employee relationships, and have relevance for anti-inflation policy. Research for this paper was undertaken while the author was a Senior Fellow at the Brookings Institution and was supported by a grant from the Alfred P. Sloan Foundation. Views expressed should not be attributed to the Brookings Institution, its staff or trustees.     

Decision‐making in early clinical drug development

This paper illustrates an approach to setting the decision framework for a study in early clinical drug development. It shows how the criteria for a go and a stop decision are calculated based on pre‐specified target and lower reference values. The framework can lead to a three‐outcome approach by including a consider zone; this could enable smaller studies to be performed in early development, with other information either external to or within the study used to reach a go or stop decision. In this way, Phase I/II trials can be geared towards providing actionable decision‐making rather than the traditional focus on statistical significance. The example provided illustrates how the decision criteria were calculated for a Phase II study, including an interim analysis, and how the operating characteristics were assessed to ensure the decision criteria were robust. Copyright © 2016 John Wiley & Sons, Ltd.     

Restarting after Branching in the SDP Approach to MAX-CUT and Similar Combinatorial Optimization Problems

Many combinatorial optimization problems have relaxations that are semidefinite programming problems. In principle, the combinatorial optimization problem can then be solved by using a branch-and-cut procedure, where the problems to be solved at the nodes of the tree are semidefinite programs. It is desirable that the solution to one node of the tree should be exploited at the child node in order to speed up the solution of the child. We show how the solution to the parent relaxation can be used as a warm start to construct an appropriate initial dual solution to the child problem. This restart method for SDP branch-and-cut can be regarded as analogous to the use of the dual simplex method in the branch-and-cut method for mixed integer linear programming problems.     

Endogenous Adaptation: The Effects of Technology Position and Planning Mode on IT‐Enabled Change*

The redesign of information technology (IT)‐enabled work processes often necessitates fundamental design changes to the intended work process, the IT platform hosting the work process, or both. Research suggests that such design changes often can be traced to earlier decisions involving endogenous adaptation or internal organizational change. Two such decisions are a firm's technology position and planning mode. This study examines the relationship between technology position and planning mode in predicting the magnitude of design change in process redesign projects. The conceptual frame applied in examining these relationships involves a synthesis of Miles and Snow's adaptive cycle with elements central to concurrent engineering. Our results indicate that the magnitude of design change is related to differences in technology position and planning mode. To effectively implement organizational change, firms must leverage their IT platform by carefully timing IT investments in accordance with their adopted technology position. Directing the trajectory of a firm's IT platform and deploying it so as to complement the firm's technology position reduces design uncertainty, promoting reengineering success.