Proportionate stratified random sampling: the ratio of-the number of elements chosen from a particular stratum (n1) to the total number of elements in that particular stratum(N1) is equal to the ratio of –the number of elements chosen from all other strata to the total number of elements in those strata. Disproportionate stratified random sampling: the ratio of the number of elements chosen from a particular stratum (n1) to the total number of elements in that particular stratum (N1) is not equal to the ratio of the number of elements chosen from all other strata to the total number of elements in those strata.
Optimal stratified random sampling: due to cost concerns the researcher might want to achieve maximum accuracy that is minimum variance while keeping the costs minimum. This can be done when high degree of precision is not required but only a fair amount of idea can serve the purpose. Since in this case a fair enough estimate is required as the company is just entering the book market and lack of precision will not cause harm as it is not a quality check but only a overall market estimate, optimal stratified random sampling is
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