Differentiate between simple aggregative method and price relative method of constructing simple index numbers

Answer:

There are different ways of construction of index numbers. In general, construction of index number is further available for the division in two parts: Simple and Weighted. Furthermore, the simple method is classified into simple aggregative and simple relative. Similarly, the weighted method is classified into weighted aggregative and weighted average or relative.

Sug

Compound Interest

Play

Annuity and Its types

Play

Positive and Negative Correlation

Play

Time Series: Trend Values by Moving Averages

Play

Types of Methods of Construction

Simple Method – Aggregative and Relative

Weighted Method – Aggregative and Relative

Let’s dive into the explanation of these methods of construction of index.

weighted average

Simple Aggregative Method

We use this method of construction for computation of index price. As a result, the total cost of any commodity in any given year to the total cost of any commodity in the base year is in percentage form.

Simple Aggregative Price Index – (∑ Pn/ ∑ P0) * 100

Where

∑Pn = Sum of the price of all the respective commodity in the current time period.

∑Po = Sum of the price of all the respective commodity in the base period.

The simple aggregative index is very simple to understand. However, there is a serious defect in this method. The first commodity, here, has more influence than the rest two. This is so because the first commodity has a high price than the rest.

Furthermore, if we anyhow change the units, the index number will also go through a change. This is one of the biggest flaws of this methods. Use of absolute quantities turn the tables around. Therefore, considering independent values for the three years would be a better option.

Browse more Topics under Index Numbers

Uses, Problems in Construction of Index Numbers

Consumer Price Index

Value Index Number

Simple Average of Relatives

In order to remove the errors and flaws coming from a simple aggregative index, a replacement would be a better choice. Hence, we can use a simple average of relatives method for construction of Index.

Using this method, we can invert the real values for any individual variable into percentage form of the base period. We term these percentages as relatives. One of the biggest reason to opt for relatives is that they are full numbers and have no absolute values like Rs. 35.60, Rs. 10.01, and so on. Hence, the index numbers that we get as a result is likely to stay as it is.

Weighted Method

It is quite important to meet the needs of any sort of simple or unweighted methods. So, in such a case, we weigh the value of any commodity using any factor that deems fit. This factor is usually the quantity we sell it for during the base year. The categories of these indices are:

Weighted Aggregative Index

Weighted Average of Relatives

Let’s have a close look at the following two indices.

Weighted Aggregative Index Method

We generally use this method to weigh out the price of any commodity. The weighing is done using a very approximate factor. These factors are likely to vary and can be anything. It can be a quantity or it can be the volume that it is selling off for during the base year.

The year not necessarily needs to be the base year but can also be an average of other years or any year in general. Well, the choice of it will totally depend on the importance of the specific year. So, besides the quantity, it is on us about terming the importance of a specific year.

Weighted Aggregative Index generally comes off in the form of percentages. As a result, there