Good day, Kannamudaiyar!

In addition to ratio analysis, some econometric and mathematical models could be used to analyze the financial statements/performances of cooperative societies, such as:

1) Time Series Analysis: cointegration test (Engle-Granger, ARDL) for long-term equilibrium, ARIMA, VAR, etc...

2) Panel Data Analysis: Fixed Effect (One-way, Two-way) Models, Random Effect Model...

3) Event Analysis: To assess the impact of specific events such as mergers, political or policy changes, etc., Dummy variable regression, ...

4) Data Envelopment Analysis (DEA): To analyze the relative efficiency of the multiple units.

.. many others.

Notably, the choice of model should correspond to the specific research queries and availability of data.

Certainly! Analyzing the financial statements of a cooperative society can be done using various econometric or mathematical models, depending on your specific research objectives and data availability. Here are a few approaches you can consider:

Regression Analysis: You can use multiple regression analysis to explore the relationships between different financial variables (e.g., revenue, expenses, membership size) and their impact on the cooperative society's financial performance. This can help identify key drivers of financial success or challenges.

Time Series Analysis: If you have historical financial data, time series analysis can be used to detect trends, seasonality, and patterns in the cooperative society's financial performance over time. Models like ARIMA (AutoRegressive Integrated Moving Average) or GARCH (Generalized Autoregressive Conditional Heteroskedasticity) can be employed.

Panel Data Models: If you have data for multiple cooperative societies, panel data models like Fixed Effects or Random Effects models can be applied to analyze the impact of both time-varying and cross-sectional factors on financial performance.

Financial Ratios and Index Models: Create financial ratios (e.g., liquidity ratios, profitability ratios) and construct financial indices to assess the financial health and performance of the cooperative society. You can then analyze how these ratios or indices change over time or across different cooperatives.

Markov Chain Analysis: Markov chain models can be used to study transitions between different financial states or categories (e.g., stable, deteriorating, improving) of the cooperative society over time.

Monte Carlo Simulations: These simulations can help assess the cooperative society's financial risk and uncertainty by generating multiple scenarios based on historical data and assumptions.

Cluster Analysis: Group similar cooperative societies together based on their financial characteristics. This can provide insights into different financial profiles and the factors that differentiate them.

Remember that the choice of model will depend on the specific research questions, the availability of data, and the complexity of the cooperative society's financial structure. It's often valuable to combine several of these approaches to gain a comprehensive understanding of the financial statement analysis. Additionally, seeking guidance from an experienced econometrician or financial analyst can be beneficial in designing an appropriate analysis strategy.

I presume that you refer to a Producer cooperative: Because it is the one that faces the fewest competition issues under most Competition law regimes. If you have in mind other cooperatives then the issue is much more complex even if such cooperatives raise minor issues if they have small turnover - as far as competition law is concerned even if their bigger mainstream rivals will make complaints to a Competition agency. Usefully a competition agency that has no serious cases.

So to the extent that the Cooperative is of small scale - less than 5-10 % of market turnover (properly defined) then no competition authority that has serious cartel/antitrust cases will bother to investigate (except only to establish market share of the Cooperative in question). In general as a Competition enforcer for 20+ years my approach was to investigate the complainant. Why does such a medium-sized or big complainant oppose the rise of a small competitor. Usually the answer was that the local competition authority had no serious cartels or excessive pricing cases.Alas