* Close 3-way Election on Tue Nov 10 12:47:14 2026
  - input data directory: ./data
  - results directory:    ./results
  - transcript to:        ./results/close-3-way-election-transcript.txt

Archiving this version of the analysis script:
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* Archived analysis script(s) to ./results:
  - ./close-3-way-election.r
  - ../tools/graphics-tools.r
  - ../tools/pipeline-tools.r

Reading candidates and votes:
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* Reading data from ./data/candidates-and-votes.tsv
  - Found the expected 3 rows of 2 columns: Candidate, Votes
  - Total votes: 954025

   Candidate  Votes  FracTotal
1      Colom 468339 0.49090852
2 Hyde-Smith 465643 0.48808260
3    Pinkins  20043 0.02100888

Dirichlet analysis:
-------------------

* MAP estimates (modes) for each candidate's probability to attract a vote:

   Candidate  Votes  FracTotal DirichletMode
1      Colom 468339 0.49090852     0.4909090
2 Hyde-Smith 465643 0.48808260     0.4880831
3    Pinkins  20043 0.02100888     0.0210079
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* Movie of unit triangle written to ./results/close-3-way-election-dirichlet.gif.

* Ternary plot of Dirichlet contours written to ./results/close-3-way-election-dirichlet.png.

* Spreadsheet saved to ./results/close-3-way-election-dirichlet.tsv.

Beta analysis:
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* Median & 95% CL's for top 2 candidate's probability of attracting a vote:
  - 95% confidence limits set at probabilities 0.025 - 0.975.
  - The percent chance that Colom got below 50% is 0.26%.
  - The winner LCL and the loser UCL are separated by +0.086%.

   Candidate  Votes FracTotal   BetaLCL BetaMedian   BetaUCL
1      Colom 468339 0.5014433 0.5004293  0.5014433 0.5024573
2 Hyde-Smith 465643 0.4985567 0.4975427  0.4985567 0.4995707

* Posterior Beta densities plotted to ./results/close-3-way-election-beta.png

* Spreadsheet saved to ./results/close-3-way-election-beta.tsv.

* Close 3-way Election completed Tue Nov 10 12:48:10 2026 (56.1 sec elapsed).