Lagged dependent variable ARMA

Lagged dependent variable ARMA

🎙 Ben Lambert 👥 148K 📅 September 20, 2013 ⏱ 10 min 👁 180K 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

lagged dependent variableARMAeconometricstime seriesadvertising effect

Summary

This video by Ben Lambert explains the interpretation of lagged dependent variable models in econometrics, using the example of company sales and advertising. It begins by motivating the inclusion of a lagged dependent variable, citing both econometric reasons (controlling for omitted variables) and practical reasons (e.g., addictive products). The video then derives the long-run effect of a permanent change in advertising, showing that the coefficient on the lagged dependent variable affects the multiplier. It also analyzes the effect of a temporary change, illustrating how the impact decays exponentially over time, requiring the autoregressive parameter to be less than one in absolute value. The video concludes by noting that such models combine autoregressive (AR) and moving average (MA) elements, hence the term ARMA, though the MA component is in the independent variables rather than the errors. The presentation is clear and mathematical, suitable for students of econometrics.

146 words

Critical Evaluation

Value of the Information & Strength of the Argument

The video provides valuable insights into the interpretation of lagged dependent variable models, a common topic in econometrics. The argumentation is solid, with step-by-step derivations of both long-run and short-run effects. The use of a concrete example (sales and advertising) makes the concepts accessible. The explanation of why the autoregressive parameter must be less than one in absolute value is well-justified. However, the video does not discuss potential pitfalls such as serial correlation or estimation issues, which could be a limitation for a comprehensive understanding.

Scientific Rigor, Source Quality, Title Accuracy

The video is scientifically rigorous in its mathematical exposition, but it does not cite external sources or references. The title accurately reflects the content, focusing on lagged dependent variable models and their ARMA interpretation. The description provides links to course materials and related resources, but these are not directly cited in the video. The video is a tutorial, so the lack of citations is acceptable, but it could benefit from referencing standard textbooks or papers for further reading.

178 words

Title / Content Match

The title accurately reflects the content, focusing on lagged dependent variable models and their ARMA interpretation.

Quality & Reliability

8/10

Clear explanation of econometric concepts with mathematical derivations, but lacks formal citations and empirical validation.

Key Moments

Cited Sources

Concurring Sources

Contribution & Novelties

The video provides a clear and intuitive explanation of lagged dependent variable models, emphasizing the interpretation of long-run and short-run effects. It bridges the gap between theoretical econometrics and practical application, making it a valuable resource for students. The discussion of ARMA interpretation is particularly insightful, as it clarifies the role of MA components in the independent variables.

Pour aller plus loin :

97 words

Radar Profile

The radar profile shows high scores in quality and technical level, with moderate scores in quantity and reliability. This indicates a focused, well-explained tutorial with limited breadth and external validation.

Reliability 7/10