# Representative Comments

For a given comment $c$, and subset (group) in the conversation $g$, the Representativeness of that comment $c$ for group $g$ (denoted $R_{v}(g,c)$), is a measure of how much more likely participants in group $g$ are to place vote $v$ on said comment than those outside group $g$.

Here's how we compute Representativeness :

We first estimate the

**probably**that a person in a group $g$ votes $v$ on comment $c$ as follows: $P_{v}(g,c)=2+N(g,c)1+N_{v}(g,c) $. Here:- $N_{a}(g,c)$ is the number of people in group $g$ who vote $v$ ($A$gree or $D$isagree or $P$ass) on comment $c$
- $N(g,c)$ is the number of people in group $g$ who vote at
**all**on comment $c$. - The values of 1 & 2 added to the numerator and denominator of the above fraction are
**psuedocounts**, and are used as a semi-naive prior in frequentist statistics.

We then compute $R_{v}(g,c)=P_{v}(gˉ ,c)P_{v}(g,c) $

- Here $gˉ $ is the
**complement**of $g$, that is, all the participants in the conversation who are**not**members of group $g$.

- Here $gˉ $ is the
Selection criteria are a bit more challenging to describe, but this involves looking at the two-property test (basically the fisher test) and multiplying this by the Representativeness to obtain a mashup number reflecting both estimated effect size and confidence.