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By Ahmad Sukron
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Durbin-Watson Autocorrelation Test Fundamentals
📌 The Durbin-Watson (DW) test is a classic assumption test used in regression analysis specifically for time series data.
📊 A good regression model must pass the autocorrelation test criteria.
📉 The test detects the presence or absence of autocorrelation symptoms.
EViews Practical Application
💾 The example data utilized includes two independent variables () and one dependent variable () spanning from 2013 to 2020 (quarterly data).
💻 To input the data in EViews, set the structure type to Quarterly, starting in 2013 and ending in 2020.
⚙️ After estimating the model, the Durbin-Watson statistic () obtained from the output for the sample data was 1.745973.
Durbin-Watson Interpretation Criteria
⚖️ Autocorrelation Present (Fail Test): If or , the data exhibits autocorrelation.
✅ No Autocorrelation (Pass Test): If , the data passes the test (no autocorrelation).
❓ Inconclusive: If falls between and , or between and , no definitive decision can be made.
Analysis of Sample Output
🔢 The sample involved $n = 32$ observations and $k = 2$ independent variables, tested at a 5% significance level ().
📉 Based on the Durbin-Watson reference table for $n=32$ and $k=2$: and .
🔄 The critical boundaries calculated were and .
🌟 Conclusion for Sample Data: Since the calculated statistic () falls between () and (), the conclusion is that no autocorrelation is present, and the data passes the test.
Key Points & Insights
➡️ If autocorrelation is detected (data fails the test), transformation methods such as or should be considered.
➡️ If the result is inconclusive, the recommendation is to use alternative methods like the Lagrange Multiplier (LM) test (or ).
➡️ The values for and must be sourced from the official Durbin-Watson reference table corresponding to the sample size ($n$) and number of predictors ($k$).
📸 Video summarized with SummaryTube.com on Nov 09, 2025, 14:40 UTC
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Full video URL: youtube.com/watch?v=EH22t4YSS2Y
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