Modified systematic sampling in the presence of linear trend

A new systematic sampling design called “Modified Systematic Sampling insert ignore into journalissuearticles values(MSS);”, proposed by [2] is more general than Linear Systematic Sampling insert ignore into journalissuearticles values(LSS); and Circular Systematic Sampling insert ignore into journalissuearticles values(CSS);. In the present paper, this scheme is further extended for populations having a linear trend. Expressions for mean and variance of sample mean are obtained for the population having perfect linear trend among population values. Expression for the average variance is also obtained for super population model. Further, efficiency of MSS with respect to CSS is obtained for different sample size.