Abstract
Sampath and Varalakshmi (2008) proposed an equal probability scheme called diagonal circular systematic sampling (DCSS) under the conditions stated by Sudhakar (1978). However, it is observed that DCSS does not fulfill the conditions stated by Sudhakar (1978). In this article, we suggest some conditions for DCSS to be applicable using a modification in the theorem proposed by Sengupta and Chattophadyay (1987). Under these conditions one can easily decide when and where DCSS is applicable.