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adjusted rates age adjusted age category age distributions age information age-adjusted covariates age-adjusted income age-adjusted mortality AGE-ADJUSTED RATES Paul age-adjusted urbanization age-specific predictors alternative estimator ANALYSES OF AGE-ADJUSTED as+ s as+ bias Charter Street Madison Clinical Cancer Center Cook and Beresford counties e.g. crude covariates crude predictors z+s+ crude urbanization death rates Dempster DIFFICULTIES WITH REGRESSION Donald B Rubin example fs+ linear functions Human Oncology indicator variable individuals least squares estimate linear structure logit model Massachusetts mortality e.g. Motor Vehicle Inspections multiple regression observational study outcome variable Pocock predictor averages predictors Z+g+ rates Y+s+ regressing adjusted mortality regressing Y s+ Regression Analysis regression of age-adjusted REPORT 20 September results from regressing s+ s fs+ s+ s+ Seber Sj S+ Street Madison WI type of observational Unadjusted Covariates UNIVERSITY OF MICHIGAN University of Wisconsin-Madison v+s+ W^g+ Wisconsin Clinical Cancer Wisconsin-Madison Medical Science Y+s+ on crude Yasi's zasi