Boolean Alignment Matrix and Quasi Binomial Distribution: A Case Study Using DNA Sequence Data
Keywords:Quasi binomial type I, alignment matrix, Boolean variable, nucleotide sequence, Abel polynomial
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 and 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.