```xml <result> <column_name>denominator</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.70</confidence> <requires_user_confirmation>true</requires_user_confirmation> <sum_meaningful>false</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>mean</primary_reducer> <valid_reducers>mean, min, max, median</valid_reducers> <excluded_reducers>sum (summing denominators across entities is meaningless), product (not a ratio)</excluded_reducers> <average_semantics>arithmetic_mean</average_semantics> </reducers> <inner_outer_measure> <inner_measure_reducer>min</inner_measure_reducer> <outer_measure_reducer>max</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. The column name "denominator" suggests it is the divisor in a ratio calculation, not the ratio itself - it is an absolute reference quantity. The values are strictly positive with large magnitude (max 7395, mean 337.5) and wide spread, centered far from both 0 and 1, ruling out ratio_multiplicative. This is an intensive level - a reference base for normalization - where summing across entities is meaningless but averaging is valid. Confidence reduced because "denominator" could theoretically be part of a cross-product construction, but no evidence supports tensorial interpretation. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```