I have looking for statistical analysis ie..input-output analysis?

Answer 1

Here you go:

The Input-output model of economics uses a matrix representation of a nation's (or a region's) economy to predict the effect of changes in one industry on others and by consumers, government, and foreign suppliers on the economy. Wassily Leontief (1906-1999) is credited with the development of this analysis. Francois Quesnay developed a cruder version of this technique called Tableau économique. Leontief won a Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel for his development of this model.

Input-output analysis considers inter-industry relations in an economy, depicting how the output of one industry goes to another industry where it serves as an input, and thereby makes one industry dependent on another both as customer of output and as supplier of inputs. An input-output model is a specific formulation of input-output analysis.

Each row of the input-output matrix reports the monetary value of an industry's inputs and each column represents the value of an industry's outputs. Suppose there are three industries. Row 1 reports the value of inputs to Industry 1 from Industries 1, 2, and 3. Rows 2 and 3 do the same for those industries. Column 1 reports the value of outputs from Industry 1 to Industries 1, 2, and 3. Columns 2 and 3 do the same for the other industries.

While the input-output matrix reports only the intermediate goods and services that are exchanged among industries, row vectors on the bottom record the disposition of finished goods and services to consumers, government, and foreign buyers. Similarly, column vectors on the right record non-industrial inputs like labor and purchases from foreign suppliers.

In addition to studying the structure of national economies, input-output economics has been used to study regional economies within a nation, and as a tool for national economic planning.

The mathematics of input-output economics is straightforward, but the data requirements are enormous because the expenditures and revenues of each branch of economic activity has to be represented. The tool has languished because not all countries collect the required data, data quality varies, and the data collection and preparation process has lags that make timely analysis difficult. Typically input-out tables are compiled retrospectively as a "snapshot" cross-section of the economy, once every few years.