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Age-running variables index months relative to 21, along with pre/post age polynomials and an indicator for the 21st-birthday month to accommodate birthday-month spikes documented in alcohol intoxication visits.\n\nVariables:\nmonths_21: Integer months relative to the 21st birthday (e.g., -24 to +24), indexing the running age variable used to organize age-specific rates\nage: Age reported in years corresponding to the same age-month cell, provided for convenience alongside months_21\nbmonth: Indicator equal to 1 for the month containing the 21st birthday (the \"\"birthday month\"\" control used to accommodate celebration spikes), 0 otherwise\npost: Indicator equal to 1 for observations at or above age 21 in months (post-threshold), 0 otherwise\nlinear, linear_post: Linear age terms for pre- and post-threshold segments, capturing smooth age trends on either side of age 21 within the specified bandwidth\nage_months: Age in months as a non-centered index (e.g., from 228 to 276), facilitating alternative specifications and diagnostics\nage_c, age_c_sq: Age in months centered at 21 (0 at 21) and its square for flexible smooth trends\nover: Synonym for post (equals 1 at and after 21), supplied for alternate coding conventions in estimation\nage_c_post, age_c_post_sq: Interactions of centered age and its square with the post indicator to allow different slopes/curvature after 21\ndummy21: Binary flag for the 21st-birthday month, identical in purpose to bmonth for absorbing discrete celebration effects in that month\nvisit_all_r: All non-pregnancy-screened ED visits per 10,000 person-years in the age-month cell\nalcohol_any_all_r: ED visits with primary alcohol intoxication coding per 10,000\ninjury_all_r: ED visits for any injury cause per 10,000\ninj_by_self_all_r / inj_by_oth_all_r / inj_accident_all_r: ED visits per 10,000 for self-inflicted injuries, injuries inflicted by others, and accidental injuries, respectively\nillness_all_r: ED visits per 10,000 for residual illness (non-alcohol, non-injury)\ninjury_or_alc_all_r: Composite of injury or alcohol intoxication ED visits per 10,000; 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