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Specification error

Specification error is a mistake in a regression model's design: omitting relevant variables, including irrelevant ones, or choosing the wrong functional form. It can bias or distort the estimated coefficients.

Also known asmodel misspecification

ByHoang TruongUpdated

FrameworkOrdinary least squares (OLS)

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A tree diagram branches from the root label 'Specification error' into three distinct types of model mis-specification, each with its own consequence. Omitting a relevant variable makes OLS estimates inconsistent and biased. Including an irrelevant variable leaves estimates unbiased but inflates standard errors, reducing precision. Using the wrong functional form produces residuals that follow a curved pattern rather than the random scatter that valid OLS inference requires.

Where it fits
SubjectData Analysis & StatisticsAdvancedTopicRegression Diagnostics & ProblemsAdvanced