When you specify the ALLOC=NEYMAN option in the STRATA statement, PROC SURVEYSELECT allocates the total sample size among the strata in proportion to stratum sizes and stratum variances. Neyman allocation is a special case of optimal allocation (which is described in the section Optimal Allocation), where the costs per unit are the same for all strata. For Neyman allocation, PROC SURVEYSELECT computes the proportion of the total sample size for stratum h as
where is the number of sampling units in stratum h,
is the standard deviation within stratum h, and H is the total number of strata.
PROC SURVEYSELECT computes the target sample size for stratum h as
where n is the total sample size that you specify in the SAMPSIZE= option in the PROC SURVEYSELECT statement.
The allocated sample sizes are computed from the target sample sizes as described in the section Optimal Allocation.