By Aitken R.J.
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Additional resources for A Statistical Study of the Visual Double Stars in the Northern Sky (1915)(en)(5s)
On Generalized Tournament Matrices. , 12:384-399, 1970.  S. Nishisato. Analysis of Categorical Data: Dual Scaling and its Applications. University of Toronto Press. Toronto, 1980.  M. J. Prentice. On the Problem of m Incomplete Rankings. Biometrika, 66:167-170, 1979.  T. A. Prigarina, P. Y. Chebotariov and D. S. Schmerling. R. Unpublished manuscript. 1991.  C. Ramanujacharyulu. Analysis of Preferential Experiments. Psychometrika, 29:257-261, 1964.  E. Seneta. Non-Negative Matrices.
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V, with v'v 1, and happens to give the same ranking as w(2). = = Interesting related methods have been put forward by Daniels [6) and Moon and Pullman [14). However, it is dubious whether the resulting ranking as well as those corresponding to w(2) and v are really an improvement over the simple row-sum score w. The common feature of the more elaborate methods is to give more credit to a player for defeating a high scoring than a low scoring opponent, but this means, of course, that a loss to the latter is punished less than a loss to the former.