Efficiency Of Proportional Allocation Procedure Over Other Allocation Procedures In Stratified Random Sampling

The study is designed to examine the efficiency of Proportional allocation procedure over equal and Neyman allocations. The data used for this study were secondary data collected from the National Bureau of Statistics in Ondo State Nigeria on the income of Household Heads. A stratified random sampling scheme was used in selecting 5 income categories stratum in the study. A 10 sample was randomly selected from each category and the mean variance and standard errors of incomes were obtained. Having analyzed the data collected using Equal Allocation Proportional Allocation and Neyman Allocation procedures the variance and standard error of proportional allocation procedure were smaller than that of Neyman Allocation and equal allocation procedures. Hence Proportional allocation procedure is the best and hence the most efficient. The mean and variance of Optimum Allocation were not considered because the cost of sampling was not available. Finally the least income was 10000 and highest income was 1650000. This indicated that incomes were unevenly distributed.