The Frisch–Waugh–Lovell theorem for standard errors
Peng Ding
Statistics & Probability Letters, 2021, vol. 168, issue C
Abstract:
The Frisch–Waugh–Lovell Theorem states the equivalence of the coefficients from the full and partial regressions. I further show the equivalence between various standard errors. Applying the new result to stratified experiments reveals the discrepancy between model-based and design-based standard errors.
Keywords: Autocorrelation; Covariance estimator; Clustering; Heteroskedasticity; Partial regression; Stratified experiments (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:168:y:2021:i:c:s0167715220302480
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DOI: 10.1016/j.spl.2020.108945
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