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Statistical Methods in Economics


                   Notes          •   Price quotations should be obtained from the localities in which the class of people concerned
                                      reside or from where they usually make their purchases. Some of the principles recommended
                                      to be observed in the collection of retail price data required.
                                  •   Since prices form the most important component of cost of living indices, considerable attention
                                      has to be paid to the methods of price collection and to the price collection personnel. Prices are
                                      collected usually by special agents or through mailed questionnaire or in some cases through
                                      published price lists. The greatest reliance can be placed on the price collection through special
                                      agents as they visit the retail outlets and collect the prices from them. However, these agents
                                      should be properly selected and trained and should be given a manual of instructions as well
                                      as manual of specifications of items to be priced. Appropriate methods of price verification
                                      should be followed such as ‘check pricing’ in which price quotations are verified by means of
                                      duplicate prices obtained by different agents or ‘purchase checking’ in which actual purchases of
                                      goods are made.
                                  •   In order to convert the prices into index numbers the prices or their relatives must be weighted.
                                      The need for weighting arises because relative importance of various items for different classes
                                      of people is not the same. For this reason, the cost of living index is always a weighted index.
                                      While conducting the family budget enquiry the amount spent on each commodity by an average
                                      family is ascertained and these constitute the weights. Percentage expenditures on the different
                                      items constitute the individual weights’ allocated to the corresponding price relative and the
                                      percentage expenditure on the five groups constitute the ‘group weight’.
                                  •   The Sixth International Conference of Labour Statisticians recommended that the pattern of
                                      consumption should be examined and the weights adjusted, if necessary, at intervals of not
                                      more than ten years to correspond changes in the consumption pattern. The index also does not
                                      take into account changes in qualities. Unlike changes in consumption pattern changes in
                                      qualities of goods and services are more frequent and when a marked change in the quality of
                                      items occurs appropriate adjustment should be made to ensure that the index takes into account
                                      changes is qualities also. But in practice it is a difficult proposition to follow and, therefore,
                                      constant qualities are assumed at two different dates which again is a shaky assumption.
                                  •   The consumption pattern derived from the expenditure data of a sample of households covered
                                      in the course of family budget enquiry has to be representative of all the items in the average
                                      budget, the localities from which price data are collected have to be representative of all the
                                      localities from which the population group make purchases, the retail outlets from which prices
                                      are collected have to be representative of all the retail outlets patronised by the population
                                      group, etc. However, it is often difficult to ensure perfect representativeness and in the absence
                                      of this the index may fail to provide the real picture.
                                  •   While taking the sample random sampling is seldom used. This is so because to sample from a
                                      population of literally millions of commodities and services, the random procedure could neither
                                      be practical nor representative. Typically, indices are constructed from samples deliberately
                                      selected. This is likely to introduce errors and every effort must be made to minimise these
                                      errors.
                                  •   A large number of methods have been designed for constructing index numbers and different
                                      methods of computation give different results. Very often the selection of an appropriate formula
                                      creates problems and in the interest of comparability, it is necessary to ensure that the same
                                      formula is adopted over a period of time for constructing a particular index. There is no index
                                      number method which is most satisfactory from all the various points of view which may
                                      logically or practically be taken. Index numbers are averages, and all averages are basically
                                      compromises between opposing extremes or forces.
                                  21.4 Key-Words


                                  1. Combinations : The number of ways objects can be selected without regard to order.
                                  2. Combinatorics : The branch of mathematics dealing with the number of different ways objects
                                                   can be selected or arranged.



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