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Regression dilution, also known as regression attenuation, is the biasing of the linear regression slope towards zero (the underestimation of its absolute value), caused by errors in the independent variable. It may seem counter-intuitive that noise in the predictor variable x induces a bias, but noise in the outcome variable y does not. Recall that linear regression is not symmetric: the line of best fit for predicting y from x (the usual linear regression) is not the same as the line of best fit for predicting x from y.

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rdfs:label	Regression dilution (en)
rdfs:comment	Regression dilution, also known as regression attenuation, is the biasing of the linear regression slope towards zero (the underestimation of its absolute value), caused by errors in the independent variable. It may seem counter-intuitive that noise in the predictor variable x induces a bias, but noise in the outcome variable y does not. Recall that linear regression is not symmetric: the line of best fit for predicting y from x (the usual linear regression) is not the same as the line of best fit for predicting x from y. (en)
foaf:depiction
dcterms:subject	Regression models
Wikipage page ID	1839529 (xsd:integer)
Wikipage revision ID	1093273583 (xsd:integer)
Link from a Wikipage to another Wikipage	Proportional hazards models Epidemiology Bias (statistics) Blood pressure Pearson correlation coefficient Reliability (statistics) Predictive modelling Correlated Correlation Cronbach's alpha Measurement Geometric mean Statistical inference Simple linear regression Statistical unit Statistics Clinical trial Statistical population Total least squares Regression models Wayne Fuller Linear regression Errors-in-variables models Normal distribution Quantization (signal processing) Random variable Rasch model Charles Spearman Survival analysis Classical test theory Measurement error Independent variable Rasch model estimation Ratio Uncertainty Random sample Regression coefficients Regression slope
sameAs	Regression dilution Regression dilution Regression dilution Regression dilution
thumbnail	wiki-commons:Special:FilePath/Visualization_of_errors-in-variables_linear_regression.png?width=300
has abstract	Regression dilution, also known as regression attenuation, is the biasing of the linear regression slope towards zero (the underestimation of its absolute value), caused by errors in the independent variable. Consider fitting a straight line for the relationship of an outcome variable y to a predictor variable x, and estimating the slope of the line. Statistical variability, measurement error or random noise in the y variable causes uncertainty in the estimated slope, but not bias: on average, the procedure calculates the right slope. However, variability, measurement error or random noise in the x variable causes bias in the estimated slope (as well as imprecision). The greater the variance in the x measurement, the closer the estimated slope must approach zero instead of the true value. It may seem counter-intuitive that noise in the predictor variable x induces a bias, but noise in the outcome variable y does not. Recall that linear regression is not symmetric: the line of best fit for predicting y from x (the usual linear regression) is not the same as the line of best fit for predicting x from y. (en)
prov:wasDerivedFrom	wikipedia-en:Regression_dilution?oldid=1093273583&ns=0
page length (characters) of wiki page	18390 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Regression_dilution
is Link from a Wikipage to another Wikipage of	Correction for unreliability Correlation disattenuation Attenuation (disambiguation) Nuisance parameter Correction for attenuation Errors and residuals Consistent estimator Correlation correction for attenuation Steven Levitt Line fitting Errors-in-variables models Quantization (signal processing) Regression toward the mean Theil–Sen estimator List of statistics articles Observational error Disattenuation Mismeasured variable bias Attenuation (statistics) Attenuation bias Regression attenuation Spearman's correction Spearman's correction for measurement error
is Wikipage redirect of	Correction for unreliability Correlation disattenuation Correction for attenuation Correlation correction for attenuation Disattenuation Mismeasured variable bias Attenuation (statistics) Attenuation bias

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