We study the social choice problem where a group of n voters report their preferences over alternatives and a voting rule is used to select an alternative. We show that when the preferences of voters are positively correlated according to the Kendall-Tau distance, the probability that any scoring rule is not ex post incentive compatible (EPIC) goes to zero exponentially fast with the number of ...

Random utility theory models an agent’s preferences on alternatives by drawing a real-valued score on each alternative (typically independently) from a parameterized distribution, and then ranking the alternatives according to scores. A special case that has received significant attention is the Plackett-Luce model, for which fast inference methods for maximum likelihood estimators are availabl...

Given a set of rating data for a set of items, determining the values of items is a matter of importance and various probability models have been proposed. The Plackett-Luce model is one of such models, which parametrizes the value of each item by a real valued preference parameter. In this paper, the Plackett-Luce model is generalized to cope with the grouped ranking observations such as movie...

Alkaline protease producing microorganism Vibrio metschnikovii NG155, isolated from the soil samples of leather industry, having potential application in dehairing of animal skin was used in this study. To enhance the production of protease by this strain, various physical and nutritional factors were optimized using statistical methods like Plackett Burman and Response Surface Methodology. In ...

Plackett-Burman design and Box-Behnken response surface methodology (RSM) was employed to optimize the medium components for the chitin deacetylase (CDA) activity from Bacillus amyloliquefaciens Z7. Plackett-Burman design was applied to determine the specific medium components affecting CDA activity and found that starch, chitin and MgSO4 were critical in augmenting CDA activity. These signific...

We propose a new method for dyad ranking, a problem that was recently introduced in the realm of preference learning. Our method, called PLNet, combines a statistical model for rank data, namely the Plackett-Luce model, with neural networks (feed-forward multi-layer perceptrons) in order to learn joint-feature representations for dyads, which are pairs of objects from two domains. The efficacy ...

background and objectives: nowadays corn flakes are the most common form of breakfast cereals however, their vitamins are declined during the baking process. in this research, production of fortified corn flakes by lactobacillus plantarum and l. reuteri, as well as incorporation of oat and malt fiber as prebiotics have been studied. materials and methods: plackett-burman statistical design was ...

In the present study, the oleaginous fungus Mortierella alpina CBS 754.68 was screened for arachidonic acidproduction using inexpensive agricultural by-products as substrate. Four oilcakes were analysed to choose the best substrate among them. Sunflower oilcake was the most effective substrate for ARA production followed by soybean, colza and olive oilcakes. In the next step, seven variables in...

This paper describes optimization method that combines the Plackett-Burman design, a factorial design and the response surface method, which were used to optimize the medium for the production of L-asparaginase by Serratia marcescens SB08. Four medium factors, from out of 11 medium factors, were screened by Plackett-Burman design experiments and subsequent optimization process to find out the o...