Simple & Weighted Index Numbers, Methods of Constructing, Simple Aggregative Method, Base Year


🚩Timestamps:-

00:08 Session Agenda

00:44 SIMPLE INDEX NUMBERS

02:10 WEIGHTED INDEX NUMBERS

05:33 Methods of Constructing Index Numbers

06:03 SIMPLE AGGREGATIVE METHOD

09:28 Base Year and its Characteristics

12:20 Practical Problem (Simple Aggregative Method)

15:11 Concluding Remarks

Learning Outcomes:-

Through this module, you will gain understanding on:-

1.   SIMPLE INDEX NUMBERS

2.   WEIGHTED INDEX NUMBERS

3.   Methods of Constructing Index Numbers

4.   SIMPLE AGGREGATIVE METHOD

5.   Base Year and its Characteristics

Simple and Weighted Index Numbers

'Simple' and 'weighted' are the two broad categories of index numbers. Here is a brief description of these concepts.

 

SIMPLE INDEX NUMBERS

These are the index numbers in which all items of the series are accorded equal weightage or importance. In case of a simple index of prices,

for example, all goods and services are to be accorded equal weightage, no matter whether sale/purchase of certain goods is more than that of the others. It will be a simple average of the prices of different goods and services.

 

WEIGHTED INDEX NUMBERS

·        These are the index numbers in which different items of the series are accorded different weightage, depending upon their relative importance. It is not a simple average of prices of different goods and services, as in case of a simple price index. Instead, it is to be a weighted average of the prices of different goods.

·        Thus, if the expenditure on rice is twice the expenditure on cloth, then in the construction of price index, price of rice may be accorded '2' as the weight compared to the weightage of '1" to the price of cloth.

·        Though difficult to construct, weighted index numbers certainly offer a much more realistic view of the change over time compared to the simple index numbers.

 

The Basic Difference between Simple Index and Weighted Index

·        In the simple index, all items of the series are treated as of equal importance.

·        In the weighted index, weights are accorded to different items depending on their relative importance.

 

Methods of Constructing Index Numbers

Construction of Simple Index Numbers

Construction of Weighted Index Numbers

1.   Simple Aggregative Method

2.   Simple Average of Price Relatives Method

 

1.   Weighted Average of Price Relatives Method

2.   Weighted Aggregative Method

 

Construction of Simple Index Numbers

 

SIMPLE AGGREGATIVE METHOD

In this method, aggregate of the prices of commodities in the current year are divided by the aggregate of their prices in the base year and multiplied by 100 to get index value for the current year.

 

Simple aggregate method of index numbers cannot be used for commodities with different units of measurement. It can be used only for those commodities which have a common unit of measurement.

·        Current Year: (denoted by One) Current year is the year for which average change is to be measured or index number is to be calculated.

·        Base Year: (denoted by Zero) Base year is the year of reference from which we want to measure extent of change in the current year. The index number of base year is generally assumed to be 100.

 

Base Year and its Characteristics

Base year is the year of comparison, also called reference year. It should bear the following characteristics:

(i) It should be a normal year, not showing wide fluctuations in the parameters related to the index number.

(ii) It should be a year for which reliable statistical data are available, so that comparison of the performance of the other years with the base year becomes meaningful.

(iii) It should not be a year too far from the period of study. Otherwise, relative change over time would not make much sense.

(iv) It should be neither very long nor very short period. Generally, it is not more than a year and not less than a month.

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SIMPLE INDEX NUMBERS, WEIGHTED INDEX NUMBERS, Methods of Constructing Index Numbers, SIMPLE AGGREGATIVE METHOD, Base Year and its Characteristics, Practical Problem (Simple Aggregative Method) | Index Numbers | 11th Commerce | by @statomics11comm

 

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