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Node assignment problem in Bayesian networks

100%

Polanska J. , Borys D. , Polanski A.

International Journal of Applied Mathematics and Computer Science

2006

tom 16

nr 2

233-240

This paper deals with the problem of searching for the best assignments of random variables to nodes in a Bayesian network (BN) with a given topology. Likelihood functions for the studied BNs are formulated, methods for their maximization are described and, finally, the results of a study concerning the reliability of revealing BNs' roles are reported. The results of BN node assignments can be applied to problems of the analysis of gene expression profiles.

Standard Question and Test Interoperability (QTI) – ewaluacja wiedzy studenta

88%

Roszak M. , Kołodziejczak B. , Kowalewski W. , Ren-Kurc A.

e-mentor

2013

nr 2 (49)

35-40

This paper presents IMS QTI, the standard in digital examination and the case study for it - a sample exam in statistics for students of 6-year Medical Doctor Program. Biostatistics students opinions on electronic form of an examination after a stationary course completion are also included.

Node assignment problem in Bayesian networks

75%

Polańska J. , Borys D. , Polański A.

International Journal of Applied Mathematics and Computer Science

2006

tom Vol. 16, no 2

233-240

This paper deals with the problem of searching for the best assignments of random variables to nodes in a Bayesian network (BN) with a given topology. Likelihood functions for the studied BNs are formulated, methods for their maximization are described and, finally, the results of a study concerning the reliability of revealing BNs’ roles are reported. The results of BN node assignments can be applied to problems of the analysis of gene expression profiles.

Reception of probability theory and statistical methods in Poland

63%

Duda R.

Antiquitates Mathematicae

2020

Przypadek towarzyszył człowiekowi od zawsze. Budził lęk z powodu kryjących się za nim nieuchwytnych sił, ale i fascynował. Stosunkowo późno z tej fascynacji wyrosło zrozumienie, że w niektórych okolicznościach przypadek można mierzyć, a w konsekwencji z pomocą matematyki odsłaniać kryjące się za nim prawidłowości. Zaczęło się to od znanych już w starożytności gier hazardowych, takich jak popularna wśród rzymskich legionistów gra w kości, ale pierwsze poważne próby matematycznego podejścia zaczynają się dopiero w Renesansie. Celem tego artykułu nie jest jej przypominanie historii probabilistyki, a jedynie relacja z jej odgłosów na ziemiach polskich i okoliczności zadomowienia tego rachunku w matematyce polskiej. Horyzont czasowy artykułu nie przekracza roku 1970.

Chance has always accompanied man. He was afraid of the elusive forces behind him, but he was also fascinated. Relatively late from this fascination arose the understanding that in some circumstances chance can be measured and, consequently, with the help of mathematics to reveal the regularities behind it. It began with gambling games already known in ancient times, such as the dice game popular among Roman legionnaires, but the first serious attempts at mathematical approach begin only in the Renaissance. The history of this development is described and the purpose of this article is not to recall it, but only the account of its sounds in Poland and the circumstances of settling this account in Polish mathematics.

Free and open software for applied statistics. A comparison and a case study in biometrics

44%

Niewiadomska E. , Niewiadomski A.

Journal of Applied Computer Science

2011

tom Vol. 19, nr 1

65-83

This article is intended to be a position paper on advantages of free and open software for statistics and its applications to biometrics and biostatistics. Especially, the authors focus on the R package viewed as a new and still insufficiently recognized or received by the scientists, researchers, students, etc. Sample statistical computations and tests in biometrics are presented, and the most common functions and procedures are analysed and compared. Although this is a position paper from the point of view of applied computer science, the authors briefly present some original results within applied statistics (in particular: biometrics) and related computational methods using dedicated software.