```xml <result> <column_name>Standard Error</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.92</confidence> <requires_user_confirmation>false</requires_user_confirmation> <sum_meaningful>false</sum_meaningful> <signed>false</signed> <reducers> <primary_reducer>mean</primary_reducer> <valid_reducers>mean, min, max, median, distribution</valid_reducers> <excluded_reducers>sum (summing standard errors is statistically 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. Standard Error is a statistical measure of uncertainty/variability - an intensive property of a distribution, not an extensive quantity. Values are small positive decimals (0.018-0.137) centered away from both 0 and 1, with no zeros. Summing standard errors across entities is statistically meaningless (they don't accumulate); averaging them is the appropriate aggregation. This is a textbook intensive_additive measure representing a level of precision/uncertainty. </reasoning> <table_type_conflict>false</table_type_conflict> </result> ```