Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 1

Testing of randomness of the numbers generated by Fisher Yates

  • Author:
  • B.K Sarmah, D. Chakrabarty
  • Total Page Count: 4
  • Page Number: 87 to 90

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

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

Online published on 22 June, 2015.

Abstract

Proper randomness of the numbers generated by Fisher and Yates has been examined by D. Chakrabarty in 2010 by computing the probability of occurrence of each digit in the table of generated numbers and then applying the theoretical probabilistic concept of randomness.

The same has been tested by B.K. Sarmah and D. Chakrabarty (Nov. 2014 IJESRT) 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 occurrence and the theoretical(expected) number of occurrences of the respective digits and hence the numbers. The test shows that the numbers generated by Fisher and Yates deviated significantly from proper randomness.

Keywords

Random number generated by Fisher and Yates, testing of randomness, t-test