单词 | latin square |
释义 | > as lemmasLatin square Latin square n. ΘΚΠ the world > relative properties > number > probability or statistics > [noun] > groups or arrangements of data > statistical table Latin square1890 1890 A. Cayley Coll. Math. Papers (1897) XIII. 55 If in each line of a square of n2 compartments the same n letters a, b, c,..are arranged so that no letter occurs twice in the same column, we have what was termed by Euler ‘a Latin square.’ 1925 R. A. Fisher Statist. Methods viii. 229 (heading) The Latin square. 1926 R. A. Fisher in Jrnl. Ministry of Agric. XXXIII. 510 For the purpose of variety trials, and of those simple types of manurial trial in which every possible comparison is of equal importance, the problem of designing economical and effective field experiments, reduces to two main principles..[of which the second is] the use of arrangements which eliminate a maximum fraction of the soil heterogeneity, and yet provide a valid estimate of the residual errors. Of these arrangements, by far the most efficient..is that which the writer has named the Latin Square. 1926 R. A. Fisher in Jrnl. Ministry of Agric. XXXIII. 510 The term Latin Square should only be applied to a process of randomization by which one is selected at random out of the total number of Latin Squares possible. 1935 R. A. Fisher Design Exper. v. 80 The object of arranging plots in a Latin square is to eliminate from the experimental comparisons possible differences in fertility which may exist between whole rows of plots, and between whole columns of plots, as they stand in the field. 1960 D. J. Finney Introd. Theory Exper. Design iii. 30 Four different doses of insulin..were tested on rabbits and compared in terms of the subsequent sugar contents in the rabbits' blood... There is..a strong case for using rabbits as blocks and testing each dose, on different occasions on every rabbit. In addition, however, a block constraint based upon day of injection, so that on each day every dose is tested, is a useful precaution against the possibility that laboratory conditions on a particular day may tend to affect all animals in the same direction. A 4 × 4 Latin square with columns corresponding to different rabbits and rows corresponding to different days, enables both constraints to be incorporated. 1971 Nature 13 Aug. 499/1 On drug weeks each of six rats received one of six doses, each in a different order (latin-square design). 1971 Nature 13 Aug. 499/1 An additional 6·0 mg/kg dose was administered to all subjects during the week after the completion of the latin-square. < as lemmas |
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