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Statistical Methods in Economics


                   Notes
                                                                  ΣP 1
                                                             P =     × 100
                                                              01  ΣP 0
                                                            ΣP = 360,  ΣP  = 300
                                                                       0
                                                              1
                                                                  360
                                                             P =     × 100  = 120
                                                              01  300
                                              This means that as compared to 2004, in 2005 there is a net increase in the prices of
                                              commodities included in the index to the extent of 20%.
                                  Merits and Demerits of Simple Aggregate method:  Simple aggregative method of index number
                                  construction is very easy but it can be applied only when the prices of all commodities have been
                                  expressed in the same unit. If units are different, the results will be misleading:
                                  Limitations of Simple Aggregate method: There are two main limitations of the simple aggregative
                                  index.
                                  (i)  In this type of index, the items with the large unit. Prices exert the greatest influence.
                                  (ii)  No consideration is given to the relative importance of the commodities.
                                  Self-Assessment

                                  1. Tick (√√ √√ √) the correct statements
                                      (i) Simple index number is that number in which all the items are assigned equal.
                                     (ii) In Lasreyers method, the base year quantities are taken as weights.
                                    (iii) In pass the method the current year quantities are taken as weights.
                                     (iv) In Marshall-Edgeworth Method both the current year as well as base year prices ae considered.
                                  17.2 Summary

                                  •   Simple aggregative method of index number construction is very easy but it can be applied
                                      only when the prices of all commodities have been expressed in the same unit.
                                  •   Simple Index Number is that Index number is which all the items are assigned equal importance.
                                      In other words, weights are not assigned to the different commodities and as such it is also
                                      called unweighted Index Number.
                                      There are two methods of calculating Simple Index Number.
                                       (i) Simple aggregate method.
                                      (ii) Simple average of price relative method.
                                  •   This is the simplest method of constructing Index Number. In this method the total of current
                                      year prices for the various commodities is divided by the total of base year prices, the resultant
                                      so obtained is multiplied by 100 to get the Index Numbers for the current year in terms of
                                      percentage.
                                  17.3 Key-Words

                                  1. Index Number           : Index Number is that Index number is which all the items are
                                                              assigned equal importance. In other words, weights are not
                                                              assigned to the different commodities and as such it is also called
                                                              unweighted Index Number.
                                  2. Price index            : Index that tracks inflation by measuring price changes. Examples
                                                              include the Consumer Price Index and the Producer Price Index.
                                  3. Consumer price index (CPI) : A measure of changes in the purchasing-power of a currency and
                                                              the rate of inflation. The consumer price index expresses the
                                                              current prices of a basket of goods and services in terms of the



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