<result> <column_name>next_day_fatigue_score</column_name> <family>additive</family> <subtype>intensive_additive</subtype> <confidence>0.72</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 a bounded 1-10 score level is meaningless), product (not a ratio or factor)</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>The table is a DIMENSION with no sequence axis, so the gate makes multiplicative highly implausible and rules out ordinal_additive, which needs a sequence to normalize along. The column is a bounded 1-10 score with a mean of 3.79 and a median of 3.2, far from 1.0, with no ratio-style name or unit. That points to an absolute intensity level rather than an extensive quantity. The positive log_symmetry_gain only reflects right skew on a bounded scale, and I overrode it because there is no naming or reconstruction evidence for a ratio. The low distinct fraction (about 1%, with values in 0.1 steps) fits a rating-like scale. Confidence is moderate because the name carries no unit information.</reasoning> <table_type_conflict>false</table_type_conflict> </result>