Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 2

Testing of proper randomness of the numbers generated by Kendall and B. Babington smith: T-test

  • Author:
  • Brajendra Kanta Sarmah1,, Dhritikesh Chakrabarty2
  • Total Page Count: 4
  • Page Number: 365 to 368

1Department of Statistics, Bholanath College, Dhubri, Assam, India

2Department of Statistics, Handique Girls’ College, Assam, India

*e-mail: brajensarma62@gmail.com

Online published on 5 December, 2015.

Abstract

Proper randomness of the numbers generated by Kendall and B. Babington Smith has been examined.by B.K. Sarmah and D. Chakrabarty in Dec.. 2014, IJESRT Vol-3, issue 12, by applying the Chi-square test for testing the significance of difference between observed frequency of each of the digit in the table and the corresponding theoretical (expected) frequency.

In this paper, the randomness of the digits have been tested by applying t-test for amount of deviation of the observed number of occurrences and the theoretical(expected) number of occurrences of the respective digits and hence the numbers. The test shows that the numbers generated by Kendall and B. Babington Smith deviated significantly in most the observations from proper randomness.

Keywords

Random number generated by Kendall and B. Babington Smith, student t-test, testing of randomness