Causal Inference Part 7: Synthetic control methods: A powerful technique for inferring causality in observational data

Rudrendu Paul
4 min readJan 27, 2023

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A powerful technique for inferring causality from observational data, understanding implementation, application and limitations in data science

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Introduction

In data science, understanding causality is crucial for making accurate predictions and taking effective actions. However, inferring causality from observational data can be a complex and challenging task. There are several limitations and potential sources of bias to take into account when trying to establish causality. In recent years, synthetic control methods have emerged as a powerful tool for inferring causality from observational data.

In this article, we will explore the basics of synthetic control methods, its implementation, applications, and the challenges and best practices for its use in causal inference in data science.

The Basics of Synthetic Control Methods

Synthetic control methods are a type of causal inference method that allow researchers to estimate the effect of an intervention or treatment on a population by simulating a counterfactual scenario. This is achieved by building a synthetic control group that mimics the characteristics of the treatment group before the intervention, and then comparing the outcomes of the treatment group with the synthetic control group after the intervention.

Assumptions

The key assumptions behind synthetic control methods are that the treatment and control groups were similar prior to the intervention, and that any differences in outcomes between the treatment and control groups are due to the intervention.

  1. The first assumption is important because it ensures that the synthetic control group is a good representation of what the treatment group would have been like in the absence of the intervention.
  2. The second assumption is important because it ensures that any differences in outcomes between the treatment and control groups can be attributed to the intervention.

Use Cases

Synthetic control methods have been widely used in various fields, such as evaluating the impact of policy interventions and natural experiments, as well as understanding the drivers of business outcomes. It is considered a powerful alternative to traditional causal inference methods such as matching, propensity score matching and instrumental variables which also have their own assumptions, trade-offs and limitations.

Implementing Synthetic Control Methods

Implementing synthetic control methods involves several steps:

  1. The first step is to identify the treatment group and the control group, which should have similar characteristics prior to the intervention.
  2. The next step is to build the synthetic control group, which is created by combining observations from the control group in such a way that the synthetic control group mimics the characteristics of the treatment group prior to the intervention.
  3. Finally, the treatment effect is estimated by comparing the outcomes of the treatment group with the synthetic control group after the intervention.
  4. There are different methods to construct the synthetic control group, such as regression-based methods, multivariate methods and machine learning-based methods. Each method has its own assumptions and limitations, and the appropriate method should be chosen based on the specific research question and data set.

Applications of Synthetic Control Methods

Synthetic control methods have been applied in various fields, such as evaluating the impact of policy interventions, understanding the effects of natural experiments and identifying the drivers of business outcomes. It has been used to study the impact of changes in policies, natural disasters, and interventions in business and economy.

In the case of policy interventions, synthetic control methods have been used to evaluate the effectiveness of different policies such as minimum wage policies, education policies and healthcare policies. For example, researchers have used synthetic control methods to evaluate the impact of increasing the minimum wage on employment rates, and to understand the impact of healthcare reform on health outcomes.

In the business and economy, synthetic control methods have been used to study the impact of interventions such as mergers and acquisitions, product launches and marketing campaigns. This allows researchers to understand the underlying mechanisms that drive the economy and to make better decisions.

Challenges and Best Practices in Synthetic Control Methods

Synthetic control methods are not without challenges:

  1. One of the main challenges is selecting the control group, which should have similar characteristics as the treatment group prior to the intervention.
  2. Another challenge is addressing the differences in the pre-treatment characteristics. These challenges can be overcome by using appropriate methods, careful consideration of limitations, and best practices.

Best Practices

One way to address the challenge of selecting the control group is to use multiple methods to construct the synthetic control group and compare the results. Researchers should also be transparent about the limitations and strengths of their methods and report their results and conclusions accordingly.

Another best practice is to use sensitivity analysis to examine the robustness of the results to different assumptions and uncertainties. This can help to identify any potential sources of bias and to evaluate the robustness of the results. Additionally, it is important to pre-register the study design and analysis plan in order to minimize bias.

Conclusion

In this article, we have explored the basics of synthetic control methods, its implementation, applications, and the challenges and best practices for its use in causal inference in data science.

Synthetic control methods are a powerful tool for inferring causality from observational data and have many applications in various fields. However, inferring causality from observational data can be complex and challenging, and synthetic control methods have their own assumptions and limitations. By using appropriate methods, careful consideration of limitations, and best practices, researchers can draw valid conclusions and make better predictions and decisions.

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References

  1. https://medium.com/analytics-vidhya/synthetic-control-method-5c01f72da4e
  2. https://en.wikipedia.org/wiki/Synthetic_control_method

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Rudrendu Paul
Rudrendu Paul

Written by Rudrendu Paul

Data Science Leader | Ex-PayPal | Ads | Applied AI/ML | MBA | E-commerce | Retail | Judge at Startup Competitions | Reviewer Springer, Elsevier, IEEE | Speaker

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