Abstract
In the present paper various orderings on the space of permutations are studied in order to define some general decision rules used in methods of hypothesis formation; especially the question of monotonicity of rank statistics with respect to orderings defined is investigated as well as various relations between these orderings. Computational aspects are emphasized.
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References
Daniels H.E. (1944): The relation between measures of correlation in the universe of sample permutations. Biometrika 33(1943–1946), 129–135.
Flaschmeyer J. (1972): Kombinatorik. VEB Deutscher Verlag der Wissenschaften, Berlin (1972).
Hàjek O., Šidák Z. (1967): Theory of rank tests. Academia, Prague and Academic Press, New York (1967).
Hajek P., Havránek T. (1977a): Mechanizing hypothesis formation - mathematical foundations of a general theory. Universitext. Springer - Verlag, Heidelberg (1977).
Hajek P., Havránek T. (1977b): On generation of inductive hypotheses. International Journal of Man-Machine Studies 9 (1977), 415–438.
Havrànek T. (1976): Problems of logical foundations of effective statistical inference (Problémy logických zákla- dů efektivní statistické inference - in czech). Thesis. Charles University - Department of Mathematics, Prague (1976).
Havrànek T. (1978): Enumeration calculi and rank methods. International Journal of Man-Machine Studies (in print).
Havrànek T., Vosáhlo (1978): A GUHA procedure with correlational quantifiers. International Dournal of Man-Machine Studies (in print).
Kendall M.G. (1948): Rank correlation methods. Griffi London (1958), second edition (1955).
Knuth D.E. (1968): The art of computer prog ramming.Vol. 1. - Fundamental algorithms. Addison/Wesley, Reading (1968).
Leathers B.L. (1977): Computing paired comparison measures for ordinal data. Applied Statistics (submitted).
Savage I.R. (1957): Contributions to the theory of rank order statistics - the “trend” case. Annals of Mathematical Statistics 28 (1957), 968 - 977.
Yanagimoto T., Okamoto M. (1969): Partial orderings of permutations Annals of the Institute of Statistical Mathematics 21 (1969), 489–506.
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© 1978 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague
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Havránek, T., Pokorný, D. (1978). Rank Correlation Coefficients and Orderings on the Space of Permutations. In: Transactions of the Eighth Prague Conference. Czechoslovak Academy of Sciences, vol 8A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9857-5_26
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DOI: https://doi.org/10.1007/978-94-009-9857-5_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-9859-9
Online ISBN: 978-94-009-9857-5
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