COMPARISON OF DEGREE OF RANDOMNESS OF THE TABLES OF RANDOM NUMBERS DUE TO TIPPET, FISHER & YATES, KENDALL & SMITH AND RAND CORPORATION
Keywords:
Random Numbers Table, Tippet, Fisher & Yates, Kendall & Smith, Rand Corporation, Testing of Randomness, Frequency TestAbstract
An study has here been made on examining the degree of randomness of the four tables of random numbers due to Tippet, Fisher & Yates, Kendall & Smith and Rand Corporation respectively. Frequency test (based on Chi-square statistic) has been applied in examining the randomness of the four tables. This paper describes the testing of randomness of the four random numbers tables and a comparison of the degree of randomness of them.
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References
Bagdonavicius, V. & Nikulin, M. S.(2011). Chi-squared goodness of fit test
for right censored data, The International Journal of Applied Mathematics &
Statistics, Volume 24, Number SI-11A, p. 30 – 50.
Chernoff, H. & Lehmann, E. L. (1954). The use of maximum likelihood
estimates in χ2 tests for goodness of fit, The Annals of Mathematical Statistics,
(3), p. 579–586.
Corder, G. W. & Foreman, D. I. (2014). Nonparametric Statistics: A Step-by-
Step Approach, Wiley, New York.
Fisher, R. A. & Yates, F. (1938). Statistical Tables for Biological, Agricultural
and Medical Research, 6th Edition (1982), Longman Group Limited, England,
p. 37–38 & 134–139.
Greenwood, P. E. & Nikulin, M. S. (1996). A Guide to Chi-Squared Testing.
Wiley, New York.
Hald, A. (1952), Table of Random Numbers, In: A. Hald: Statistical Tables
and Formulas, Wiley.
Hill, I. D. & Hill, P. A. (1977). Tables of Random Times, U.K.
Kendall, M. G. & Smith, B. B. (1938). Randomness and random sampling
numbers, Journal of Royal Statistical Siciety, 101(1), p. 147–166.
Kendall, M. G. & Smith, B. B. (1939). A Table of Random Sampling
Numbers, Tracts for Computers No 24, Cambridge University Press,
Cambridge, England.
Mahalanobis, P. C. (1934). Tables of random samples from a normal
population, Sankhya, 1, p. 289–328.
Manfred, M. (1971). Le Petit Livre de Nombres au Hasar, Édition d'artiste,
Paris.
Moses, E. L. & Oakford, V. R. (1963). Tables of Random Permutations,
George Allen & Unwin.
Quenouille, M. H. (1959). Tables of random observations from standard
distributions, Biometrika, 46, p. 178 – 202.
Rand Corporation (1955). A Million Random Digits, Free Press, Glenoe, III .
Rao, C. R. ; Mitra, S. K. & Matthai, A. (1966). Random Numbers and
Permutations, Statistical Publishing Society, Calcutta.
Rohlf, F. J. & Sokal, R. R. (1969). Ten Thousand Random Digits, In: Rohlf &
Sokal: Statistical Tables, Freeman.
Royo, J. & Ferrer, S. (1954). Tables of Random Numbers Obtained from
Numbers in the Spanish National Lottery, Trabajos de Estadistica, 5, p. 247–
Snedecor, G. W. & Cochran, W. G. (1967). Statistical Methods, 6th Edition ,
Iowa State University Press, Ames, Iowa.
Tippett, L. H. C. (1927). Random Sampling Numbers, Tracts for Computers
No 15, Cambridge University Press, Cambridge, England.
Yates, F. (1934). Contingency table involving small numbers and the chi-
square test, Supplement to the Journal of Royal Statistical Society, 1(2), p.
–235.