2.3. Fractional Interval Approach
Another approach when N nk ≠ is the use of fractional interval reported by Murthy (1967) [2]. This approach
called for taking k Nn = as k without rounding it off to the nearest integer, i.e., the th i unit is selected in the
sample if i r jk i −< + ≤ 1 for any j n = − 0,1,2, , 1 ( ) . It is equivalent to associating different numbers with
each unit such that the first gets the number 1 to n, the second gets from n +1 to 2n and so on and thus selecting
units corresponding to a LSS sample of n numbers selected from 1 to Nn with N as the sampling interval.
This approach involves a long process of iteration to satisfy the equation; hence it wastes time.