```xml <result> <column_name>data_completeness</column_name> <family>multiplicative</family> <subtype>ratio_multiplicative</subtype> <confidence>0.65</confidence> <requires_user_confirmation>true</requires_user_confirmation> <sum_meaningful>false</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>product</primary_reducer> <valid_reducers>product, geomean, min, max</valid_reducers> <excluded_reducers>sum (meaningless for ratios), arithmetic_mean (wrong average for ratios)</excluded_reducers> <average_semantics>geometric_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. However, the column name "data_completeness" strongly suggests a ratio/percentage (completeness is inherently a fraction of total possible). The values are tightly bounded [0.62, 1.0] with mean=0.944 and median=0.987, clustering near 1.0, consistent with a ratio. The negative log_symmetry_gain argues against multiplicative, but completeness ratios are typically right-skewed (many near 1.0, few incomplete), which explains this. The table_type_conflict is severe: no sequence axis means no cumulative product reconstruction is possible, undermining the multiplicative interpretation. Confidence reduced to 0.65; requires user confirmation. </reasoning> <table_type_conflict>true</table_type_conflict> </result> ```