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Research Methodology




                    Notes          the average price level of all the items taken as a group will  also be 10% higher in 1992  as
                                   compared with prices of 1990. However, in real situations, neither the prices of all the items
                                   change in the same ratio nor in the same direction, i.e., the prices of some commodities may
                                   change to a greater extent as compared to prices of other commodities. Moreover, the price of
                                   some commodities may rise while that of others may fall. For such situations, the index numbers
                                   are very useful device for measuring the average change in prices or any other characteristics
                                   like quantity, value, etc. for the group as a whole.

                                   11.1 Definitions and Characteristics of Index Numbers

                                   Some important definitions of index numbers are given below:
                                   1.  “An index number is a device for comparing the general level of magnitude of a group of
                                       distinct, but related, variables in two or more situations.”
                                                                                               —Karmel and Polasek
                                   2.  “An index number is a special type of average that provides a measurement of relative
                                       changes from time to time or from place to place.”
                                                                                         — Wessell, Wilett and Simone
                                   3.  “Index number shows by its variation the changes in a magnitude which is not susceptible
                                       either of accurate measurement in itself or of direct valuation in practice.”
                                                                                                     — Edgeworth
                                   4.  “An index number is a single ratio (usually in percentage) which measures the combined
                                       (i.e.,  averaged)  change  of  several  variables  between  two  different  times, places  or
                                       situations.”
                                                                                                        — Tuttle

                                   On the basis of the above definitions, the following characteristics of index numbers are worth
                                   mentioning:
                                   1.  Index numbers  are specialised  averages:  As  we know  that  an  average  of  data is  its
                                       representative  summary figure. In a similar way, an index number is also an average,
                                       often a weighted average, computed for a group. It is called a specialised average because
                                       the figures, that are averaged, are not necessarily expressed in homogeneous units.
                                   2.  Index numbers measure the changes for a group which are not capable of being directly
                                       measured: The examples of such magnitudes are: Price level of a group of items, level of
                                       business activity in a market, level of industrial or agricultural output in an economy, etc.
                                   3.  Index numbers are expressed in terms of percentages: The changes in magnitude of a group
                                       are expressed in terms of percentages which are independent of the units of measurement.
                                       This facilitates the comparison of two or more index numbers in different situations.
                                   Self Assessment


                                   Fill in the blanks:
                                   1.  Index numbers are called a specialised average because the figures, that are averaged, are
                                       not necessarily expressed in ………………..units.

                                   2.  Index number is often recognized a ……………….average, computed for a group.






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