References

WHY IS THE NULL HYPOTHESIS REJECTED FOR "ALMOST EVERY" INFINITE SAMPLE BY SOME HYPOTHESIS TESTING OF MAXIMAL RELIABILITY?


[1] R. Balka, Z. Buczolich and M. Elekes, Topological Hausdorff dimension and level sets of generic continuous functions on fractals, Chaos, Solitons and Fractals 45(12) (2012), 1579-1589.

[2] J. R. Christensen, Measure theoretic zero sets in infinite dimensional spaces and applications to differentiability of Lipschitz mappings, Actes du Deuxieme Colloque d’Analyse Fonctionnelle de Bordeaux (Univ. Bordeaux, 1973), I, pp. 29-39. Publ. Dep. Math. (Lyon) 10(2) (1973), 29-39.

[3] J. R. Christensen, Topology and Borel Structure, North-Holland Publishing Company, Amsterdam, 1974.

[4] S. L. Chow, Statistical Significance: Rationale, Validity and Utility, 1997.

[5] J. Cohen, The earth is round American Psychologist 49(12) (1994), 997-1003.

[6] R. Dougherty, Examples of non-shy sets, Fund. Math. 144 (1994), 73-88.

[7] A. A. Fraenkel, Y. Bar-Hillel and A. Levy, Foundations of Set Theory, Second revised edition, With the collaboration of Dirk van Dalen, Studies in Logic and the Foundations of Mathematics Vol. 67, North-Holland Publishing Co., Amsterdam-London, 1973.

[8] H. L. Lavoie, S. A. Mulaik and J. H. Steiger, What if there were no significance tests?, Lawrence Erlbaum Associates, 1997.

[9] B. R. Hunt, T. Sauer and J. A. Yorke, Prevalence: A translation-invariant “almost every” on infinite-dimensional spaces, Bulletin (New Series) of the American Mathematical Society 27(2) (1992), 217-238.

[10] I. Sh. Ibramkhallilov and A. V. Skorokhod, On Well-off Estimates of Parameters of Stochastic Processes (in Russian), Kiev, 1980.

[11] A. B. Kharazishvili, Topological Aspects of Measure Theory (in Russian), Naukova Dumka, Kiev, 1984.

[12] R. Kline, Beyond Significance Testing: Reforming Data Analysis Methods in Behavioral Research, American Psychological Association, Washington, DC, 2004.

[13] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wile-Interscience [John Wiley & Sons], New York-London-Sydney, 1974.

[14] D. N. McCloskey and T. Z. Stephen, The Cult of Statistical Significance: How the Standard Error Costs us Jobs, Justice, and Lives, University of Michigan Press, 2008.

[15] D. Morrison and R. Henkel, The Significance Test Controversy, Aldine Transaction, 2006.

[16] J. Mycielski, Some unsolved problems on the prevalence of ergodicity, instability, and algebraic independence, Ulam Quart. 1(3) (1992), 30 ff., approx. 8 pp.

[17] J. Nunnally, The place of statistics in psychology, Educational and Psychological Measurement 20(4) (1960), 641-650.

[18] M. Oakes, Statistical Inference: A Commentary for the Social and Behavioural Sciences, Wiley, Chichester New York, 1986.

[19] G. R. Pantsulaia, On a certain partition of the non-locally compact abelian Polish group Proc. A. Razmadze Math. Inst. 149 (2009), 75-86.

[20] Z. Zerakidze, G. Pantsulaia and G. Saatashvili, On the separation problem for a family of Borel and Baire G-powers of shift-measures on Ukrainian Mathematical Journal 65(4) (2013), 470-485.