In this paper we address the identifiability and efficient learning problem of finite mixtures of Plackett-Luce models for rank data. We prove that for any k ≥ 2, the mixture of k PlackettLuce models for no more than 2k−1 alternatives is non-identifiable and this bound is tight for k = 2. For generic identifiability, we prove that the mixture of k Plackett-Luce models over m alternatives is gen...

Plackett-Burman experimental design was used to screen important medium components influencing the production of polyribosyl ribitol phosphate by Haemophilus influenzae type-B under submerged fermentation. Eleven media parameters such as Glutamic acid, Yeast extract, cystein, dextrose, NAD, heamin, NaCl, NH4Cl, Na2HPO4, KCl, and MgSO4.7H2O were screened in twelve experimental runs as per the de...

To optimize the production conditions for exopolysaccharides with higher antioxidant activities from Xerocomus badius cultured in shrimp byproduct medium, Plackett-Burman design, path of steepest ascent, and response surface methodology were explored. Based on the results of Plackett-Burman design and path of steepest ascent, a Box-Behnken design was applied to optimization and the regression m...

Antioxidants are molecules that scavenge or neutralize free radicals. Free radicals are generated in human body during normal physiological processes and have implications on various human diseases. Endophytic fungi from medicinal plants are gaining tremendous impetus as potential source of antioxidant compounds. In this studyPlackett-Burman design was used to evaluate the media components affe...

We show that the maximum-likelihood (ML) estimate of models derived from Luce’s choice axiom (e.g., the Plackett–Luce model) can be expressed as the stationary distribution of a Markov chain. This conveys insight into several recently proposed spectral inference algorithms. We take advantage of this perspective and formulate a new spectral algorithm that is significantly more accurate than prev...

A total of 6 isolates of Bacillus subtilis were isolated from oil mill waste collected in Namakkal district, Tamilnadu, India. The isolated bacteria were screened using lipase screening medium containing Tween 80. BS-3 isolate exhibited a greater clear zone than the others, indicating higher lipase activity. Therefore, this isolate was selected for media optimization studies. Ten process variab...

The performance of a processor is limited by the specific bottlenecks that a benchmark exposes while running on that processor. Since the quantification of these bottlenecks can be extremely time-consuming, our prior work proposed using the Plackett and Burman design as a statistically-rigorous, but timeefficient method of determining the processor’s most significant performance bottlenecks. In...

A three-step optimization strategy which includes one-factor-at-a-time classical method and different statistical approaches (Plackett-Burman design and response surface methodology) that were applied to optimize the antioxidant potential of Penicillium granulatum. Antioxidant activity was assayed by different procedures and compared with total phenolic content. Primarily, different carbon and ...

The objective of this work was design, characterization, and optimization of controlled drug delivery system containing antibiotic drug/s. Osmotic drug delivery system was chosen as controlled drug delivery system. The porous osmotic pump tablets were designed using Plackett-Burman and Box-Behnken factorial design to find out the best formulation. For screening of three categories of polymers, ...

Given a set of rating data for a set of items, determining preference levels of items is a matter of importance. Various probability models have been proposed to solve this task. One such model is the Plackett-Luce model, which parameterizes the preference level of each item by a real value. In this letter, the Plackett-Luce model is generalized to cope with grouped ranking observations such as...