PHPMem v2.0.1
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1.6.45
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llm:79da064e9fac9b97e037b70cb1831a2516429bdb53bd51095e8c1048861c3928
Edit
```xml
<result>
<column_name>table_concentration</column_name>
<family>additive</family>
<subtype>intensive_additive</subtype>
<confidence>0.85</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 concentration levels 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 name "concentration" indicates an intensive physical property (a level/density measure). While the median is 1.0 and mean is 0.87 (near 1.0), the range [0.20, 1.0] and the semantic meaning of concentration as a proportion/density strongly indicate this is an absolute level measure, not a ratio that compounds. Concentration values represent states at fixed points, where averaging (not summing or multiplying) is the natural aggregation. The negative log_symmetry_gain confirms the distribution is not log-normal, further supporting additive classification.
</reasoning>
<table_type_conflict>false</table_type_conflict>
</result>
```