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vignettes/social_loss_vignette/readme.md

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@@ -227,23 +227,26 @@ $$F_{\text{pref}} \biggl( C_{\text{data}} \Bigl( X_s \| \Delta_{\text{performanc
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C_{\text{history}} \Bigl( (X_e \cdot t_{\text{event}}) + (X_m \cdot t_{\text{message}}) + (X_N \cdot N_{\text{received}}) \Bigr) \biggr)$$
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<!-- No changes need to be made below this line when propagating to new vignettes-->
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The Esteemer algorithm uses weighting coefficients, which vary based on the particularities of each causal pathway. For the social loss causal pathway, the weighting coefficients are:
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|**Moderator** |G<sub>performance</sub>|Delta<sub>performance</sub>|t<sub>event</sub>|t<sub>message</sub>|N<sub>received</sub>| Data component| History component|
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|**Coefficient Term**|X<sub>gs</sub>|X<sub>s</sub>|X<sub>e</sub>|X<sub>m</sub>|X<sub>N</sub>|C<sub>data</sub>|C<sub>history</sub>|
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|**Value** |0.5| 0.5| 0.5| 0.5| 0.5| 0.5| 0.5| 1|1|
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<!-- Values above need to be changed for each causal pathway -->
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As an example, the appropriate values for the evaluation of Alice's **Candidate B** message are filled in below:
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$$F_{\text{pref}} \biggl( 1 \Bigl( 0.5 \| 6 \| \Bigr)\Bigl( 0.5 \| 5 \| \Bigr) + 1 \Bigl( (0.5 \cdot 12) + (0.5 \cdot 12) + (0.5 \cdot 0) \Bigr) \biggr) = (19.5)F_{\text{pref}}$$
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Bob's acceptable social loss candidate evaluates similarly:
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$$F_{\text{pref}} \biggl( 1 \Bigl( 0.5 \| 7 \| \Bigr)\Bigl( 0.5 \| 1 \| \Bigr) + 1 \Bigl( (0.5 \cdot 12) + (0.5 \cdot 12) + (0.5 \cdot 0) \Bigr) \biggr) = (13.75)F_{\text{pref}}$$
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<!-- Equations above need to be re-evaluated for each causal pathway -->
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Of note, each persona has more than one measure's worth of data, therefore for each persona there are potentially many acceptable candidates, utilizing different causal pathways regarding different measures. Esteemer evaluates each acceptable candidate measure with differing coefficient weights depending on the causal pathway.
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The final result of evaluating all of Alice's acceptable candidates are:
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- Social loss: 19.5 F<sub>pref</sub>
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- Social better: X F<sub>pref</sub>
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- Goal approach: X F<sub>pref</sub>
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**For Bob, Esteemer uses the following information:** - WIP
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- The only acceptable candidate message is **Candidate α**
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- Bob's preference for social loss messages is *Todo*

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