Estimating the proportion of true null hypotheses, with application to DNA microarray data

Summary.  We consider the problem of estimating the proportion of true null hypotheses, π ₀, in a multiple-hypothesis set-up. The tests are based on observed p -values. We first review published estimators based on the estimator that was suggested by Schweder and Spjøtvoll. Then we derive new estimators based on nonparametric maximum likelihood estimation of the p -value density, restricting to decreasing and convex decreasing densities. The estimators of π ₀ are all derived under the assumption of independent test statistics. Their performance under dependence is investigated in a simulation study. We find that the estimators are relatively robust with respect to the assumption of independence and work well also for test statistics with moderate dependence.     

Dynamic path analysis—a new approach to analyzing time-dependent covariates

In this article we introduce a general approach to dynamic path analysis. This is an extension of classical path analysis to the situation where variables may be time-dependent and where the outcome of main interest is a stochastic process. In particular we will focus on the survival and event history analysis setting where the main outcome is a counting process. Our approach will be especially fruitful for analyzing event history data with internal time-dependent covariates, where an ordinary regression analysis may fail. The approach enables us to describe how the effect of a fixed covariate partly is working directly and partly indirectly through internal time-dependent covariates. For the sequence of times of event, we define a sequence of path analysis models. At each time of an event, ordinary linear regression is used to estimate the relation between the covariates, while the additive hazard model is used for the regression of the counting process on the covariates. The methodology is illustrated using data from a randomized trial on survival for patients with liver cirrhosis.     

Envisioning upland futures: Stakeholder responses to scenarios for Europe's mountain landscapes

In a period of agricultural decline in the uplands of Europe, agriculture is ceasing to provide the primary rationale for the organisation, utilisation and functioning of rural space. Policy reform, market trends and changes to the way citizens and consumers think about the countryside all suggest a need for thinking strategically about the future development of these areas. However, without a broad involvement of stakeholders, land use conflicts, and social and cultural conflicts in general, may increase. Involving stakeholders in upland areas can be facilitated by using scenario technique and by discussing alternative futures in local stakeholder panels. In this paper we present four scenarios of land-use change for the year 2030, and their assessments by stakeholder panels in Scotland, France, Norway, Switzerland, Slovakia and Greece. The aim of the paper is to explore the ways in which stakeholders in these locations advocate and assess these scenarios. We also explore how stakeholders in different countries weight the visual landscape impacts, the livelihood and biodiversity aspects of the scenarios in their assessment, and the reasons for their prioritising. The cross-country analysis shows that stakeholders across the study areas are united in their overall rejection of agricultural liberalisation, advocating a production-oriented, but multifunctional and environmentally-friendly agriculture that maintains landscapes and biodiversity.