Boolean Alignment Matrix and Quasi Binomial Distribution: A Case Study Using DNA Sequence Data

Authors

  • Anamika Dutta Department of Statistics, Gauhati University, Guwahati, Assam, India.
  • Kishore Kumar Das Department of Statistics, Gauhati University, Guwahati, Assam, India

Keywords:

Quasi binomial type I, alignment matrix, Boolean variable, nucleotide sequence, Abel polynomial

Abstract

A new m atrix has been proposed here in this paper which is known as Boolean alignment matrix with variables 1 and 0, constructed for DNA’s viz. ‘A’, ‘C’, ‘G’, ‘T’ along with few gap characters. Quasi binomial distribution of type I with parameters gif.latex?n,&space;p_{1}, and gif.latex?\phi  has been used in this paper to check whether the Boolean alignment matrix and quasi binomial distribution of type I are inter-related utilizing Kolmogorov-Smirnov goodness of fit test. The highest number of counts from the proposed matrix and the highest value obtained from Kolmogorov-Smirnov goodness of fit test has been found to be DNA ‘C’. Consequently, in this paper, it has been found that the proposed matrix has a sharp perceptive with quasi binomial distribution of type I executing Kolmogorov-Smirnov goodness of fit test.

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Published

2021-12-30

How to Cite

Dutta, A. ., & Kumar Das, K. . (2021). Boolean Alignment Matrix and Quasi Binomial Distribution: A Case Study Using DNA Sequence Data. Thailand Statistician, 20(1), 177–184. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/245856

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Articles