On the Block Structure of Certain PBIB Designs with Two Associate Classes Having Triangular and $L_2$ Association Schemes
Raghavarao, Damaraju
Ann. Math. Statist., Tome 31 (1960) no. 4, p. 787-791 / Harvested from Project Euclid
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The PBIB designs [2] with two associate classes are classified in [3] as 1. Group Divisible, 2. Simple, 3. Triangular, 4. Latin Square type with $i$ constraints, and 5. Cyclic. Group Divisible designs are divided into three types [1]: 1. Singular, 2. Semi-regular, and 3. Regular. It has been proved [1] that every block of a Semi-regular Group Divisible design contains $k/m$ treatments from each of the $m$ groups of the association scheme. In this note we prove analogous results in the case of certain PBIB designs with triangular and $L_2$ association schemes.
Publié le : 1960-09-14
Classification:  
@article{1177705806,
     author = {Raghavarao, Damaraju},
     title = {On the Block Structure of Certain PBIB Designs with Two Associate Classes Having Triangular and $L\_2$ Association Schemes},
     journal = {Ann. Math. Statist.},
     volume = {31},
     number = {4},
     year = {1960},
     pages = { 787-791},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177705806}
}

Raghavarao, Damaraju. On the Block Structure of Certain PBIB Designs with Two Associate Classes Having Triangular and $L_2$ Association Schemes. Ann. Math. Statist., Tome 31 (1960) no. 4, pp.  787-791. http://gdmltest.u-ga.fr/item/1177705806/