<result> <column_name>win_by_runs</column_name> <family>additive</family> <subtype>real_additive</subtype> <confidence>0.95</confidence> <requires_user_confirmation>false</requires_user_confirmation> <sum_meaningful>true</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>sum</primary_reducer> <valid_reducers>sum, min, max, mean, median, count, distribution</valid_reducers> <excluded_reducers>product (not a ratio), geomean (not a ratio)</excluded_reducers> <average_semantics>arithmetic_mean</average_semantics> </reducers> <inner_outer_measure> <inner_measure_reducer>sum</inner_measure_reducer> <outer_measure_reducer>sum</outer_measure_reducer> </inner_outer_measure> <multiplicative_partner_derivable>false</multiplicative_partner_derivable> <reasoning> Gate prior: DIMENSION table with no sequence axis makes multiplicative highly implausible. Column name "win_by_runs" indicates an absolute count/margin (runs scored), not a ratio. Statistics confirm: large magnitude (max 146), mean 13.9, median 0.0, 55% zeros - this is an extensive quantity representing total runs in a victory margin. Center far from 1.0 (mean/median nowhere near it), contains zeros, unbounded upper range - all strongly support real_additive. Sum is meaningful for aggregating total runs across entities. </reasoning> <table_type_conflict>false</table_type_conflict> </result>