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Statistical Methods in Economics


                   Notes          Definition

                                  The definition of Statistics can be divided into the following two heads:
                                  (A)  In Plural Sense,
                                  (B)  In Singular Sense.
                                  (A)  In Plural Sense: The following are the definitions of Statistics in Plural Sense:
                                      According to H. Secrist—”By Statistics we mean aggregate of facts affected to a marked extent by multiplicity
                                      of causes, numerically expressed, enumerated or estimated according to a reasonable standards of accuracy,
                                      collected in a systematic manner for a predetermined purpose and placed in relation to each other.”
                                      In the words of L. R. Connor—”Statistics are measurements, enumeration or estimater of natural or
                                      social phenomena systematically arranged so as to exhibit their interrelations.”
                                      According to Yule & Kendall—”By Statistics we mean quantitative data affected to a marked extent
                                      by multiplicity of causes.”
                                      In the opinion of A. L. Bowley—”Statistics are numerical statement of facts in any department of
                                      enquiry placed in relation to each other.”
                                      According to Webster—”Classified facts, representing the condition of the people in a State, specially
                                      those facts which can be stated in numbers or in tables of numbers or in any tabular or classified
                                      arrangement.”
                                      On the basis of the above definitions the following characteristics are there in Statistics:
                                      1.   Statistics are aggregate of facts: Single and unconnected figures are not Statistics.
                                           A single age of 22 years or 37 years is not Statistics but a series relating to the ages of a
                                           group of people would be called Statistics. Likewise single figure relating to birth, death,
                                           sale, etc. cannot be called Statistics but aggregates of such figures would be Statistics
                                           because they can be studied in relation to each other and are capable of comparison.
                                      2.   Statistics are affected to a marked extent by multiplicity of causes: Usually facts and
                                           figures are affected, to a considerable extent, by a number of factors operating together.
                                           For example —Statistics of prices are affected by conditions of demand, supply, imports,
                                           exports, currency circulation, etc. and various other factors.
                                      3.   Statistics are numerically expressed: Qualitative expression like good, bad, young, old
                                           etc. do not form a part of statisical study unless numerical equivalent is assigned to such
                                           expression. If it is said that the production of rice per acre in 1997 was 30 quintals and in
                                           the year 2002 it was 50 quintals, we shall be making Statistical statements.
                                      4.   Statistics are enumerated according to reasonable standard of accuracy: Facts and figures
                                           relating to any subject can be derived in two way, example—by actual counting and
                                           measurement or by estimates. Estimates cannot be as accurate and precise as actual
                                           measurements. For example—If the heights of a group of people are being measured, it is
                                           right if the measurements are correct to a centimetre but if are measuring the distance
                                           from Agra to Gwalior, a difference of a few kilometres even, can be easily ignored.
                                      5.   Collected in a systematic manner: If Statistics are collected in a haphazard manner, it
                                           might fail to give the accurate result. It is, therefore, essential that statistics must be collected
                                           in a systematic manner so that they may Conform to reasonable standard of accuracy.
                                      6.   Collected for a pre-determined purpose: Statistical data are collected and processed for
                                           a definite and pre-determined purpose. In general, no data are collected without a pre-
                                           determine purpose.
                                      7.   Placed in relation to each other: The Statistics should be comparable. If they are not
                                           comparable, they lose part of their value and thus the efforts in collecting them may not
                                           prove to be as useful as the requirements may be. It is necessary that the figures which are
                                           collected should be a homogeneous so as to make them comparable and more useful.
                                           On the basis of the above description it may be said that numerical data cannot be called
                                           Statistics hence “All Statistics are numerical statements of facts but all numerical statements
                                           of facts may not essentially be Statistics.”
                                  (B)  In Singular Sense: The following are the definitions of Statistics in Singular Sense. Lovitt defines
                                      the science as, “That which deals with the collection, classification and tabulation of numerical facts as
                                      the basis for explanation, description and comparison of phenomena.”




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