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By P. C. Mahalanobis, C. R. Rao

ISBN-10: 1483231607

ISBN-13: 9781483231600

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4. Further generalizations. 3 can be generaUzed to lattice sampling of the third and higher dimension in a perfectly straightforward manner. EEFEBENOES B R Y A K T , E . C , H A B T L B Y , H . O . , and J E S S E N , R . J . ( 1 9 6 0 ) : tion. J, Amer. Stat. , 55, 105-124. F R A Í Í K B L , L . R . and STOCK, J . S. (1942) : 87, Design and estimation in two-way stratificii- On the sample survey of unemployment. J. Amer. Stat. , 77-80. (GOODMAN, R . and K I S H , L . (1950) : Stat. , 45, 350-372.

In unvollständiger Blöcken. » Fakultät. Partial geometries and partially balanced designs. Ann. Math. , 83, (1963) : Strongly regular graphs, partial geometries and partially balanced designs. sity of North Carolina, Institute of Statistics, Mimeo Series No. 358. Bose, R . C . and C l a t w o r t h y , W . H . , 26, 212-232. Some classes of partially balanced designs. 1206. Univer­ Ann. Math. B o s e , R . C . and C o n n o r W . S . (1952): Combinatorial properties of group divisible incomplete block designs.

Through any point Ρ not lying on a line I, there pass exactly t hues inter­ COMBINATORIAL PROPERTIES OF PBIB DESIGNS 39 I t is easy to show that the number of points v, and the number of hues 6 in a partial geometry (r, t) are given by V = k[(r-l){k-l)+t]lt ... 1) b = r[(r-l)(k-l)+t]lt ... 2) (b) Partial geometries are isomorphic with a class of P B I B designs. Points of the geometry may be caUed treatments and lines of the geometry may be caUed blocks. The relation of incidence now becomes the relation of a treatment being contained in a block.

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