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Unit 4: Sampling Design




                                                                                                Notes

             Notes  Reason for Stratified Sampling

             Sometimes, marketing professionals want information about the component part of the
             population. Assume there are three stores. Each store forms a strata and the sampling
             from within each strata is being selected. The resultant might be used to plan different
             promotional activities for each store strata.
             Suppose a researcher wishes to study the retail sales of products, such as tea in a universe
             of 1,000 grocery stores (Kirana shops included). The researcher can first divide this universe
             into three strata based on the size of the store. This benchmark for size could be only one
             of the following (a) floor space (b) volume of sales (c) variety displayed etc.
                     Size of stores      No. of stores      Percentage of stores
                     Large stores            2,000                 20

                    Medium stores            3,000                 30
                     Small stores            5,000                 50
                                            10,000                100
             Suppose we need 12 stores, then choose four from each strata, at random. If there was no
             stratification, simple random sampling from the population would be expected to choose
             two large stores (20% of 12) about four medium stores (30% of 12) and about six small
             stores (50% of 12).
             As can be seen, each store can be studied separately using the stratified sample.

          Selection by Proportionate Stratified Sample

          Assume that there are 60 students in a class of a management school, of this, 10 has to be selected
          to take part in a Business quiz competition. Assume that the class has students specializing in
          marketing, finance and HR stream.
          The first step is to subdivide the students of the class into 3 homogeneous groups or stratify the
          student population, by the area in which they are specializing.

                     Marketing Streaming             Finance Stream      HR Stream
                 1           32          8           11          33          34
                 2           36          12          13          35          37
                 3           40          15          17          38          39
                 4           43          18          20          41          42
                 5           46          19          21          44          45
                 7           47          22          24          49          48
                 9           60          23          25          59          58
                 10          57          28          26          60          56
                 14          50          27          29          52          51
                 16          53          31          30          55          54

          Second step is to calculate the sampling fraction f = n/N
                 n = Sample size required
                 N = Population size



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