Assessing randomness in case assignment: the case study of the Brazilian Supreme Court Diego Marcondes1, Cláudia Peixoto2 and Julio Michael Stern3 April 19, 2018 1 PhD Student, Department of Applied Mathematics, Institute of Mathematics and Statistics, University of São Paulo, Brazil. E-mail:
[email protected]. 2 Professor, Department of Statistics, Institute of Mathematics and Statistics, University of São Paulo, Brazil. E-mail:
[email protected]. 3 Professor, Department of Applied Mathematics, Institute of Mathematics and Statistics, University of São Paulo, Brazil. E-mail:
[email protected]. I am grateful for the support received from FAPESP - the State of São Paulo Research Foundation (grants CEPID-CeMEAI 2013/07375-0 and CEPID- Shell-RCGI 2014/50279-4); and CNPq - the Brazilian National Counsel of Technological and Scientific Development (grant PQ 301206/2011-2). We are grateful for the support received from IME-USP, the Institute of Mathematics and Statistics of the University of São Paulo; and ABJ, the Brazilian Jurimetrics Association. We are also grateful for advice and comments received from Adilson Simonis, Rafael Bassi Stern and Marcelo Guedes Nunes. We thank the Supremo Tribunal Federal (Brazilian Supreme Court) which made available the data analyzed in this article. Marcondes, Peixoto and Stern ii Let the lot be shaken for all of you, and see who is chosen Iliad, VII, 171. Casting the dice puts judgement quarrels to rest and keeps powerful parts separated Proverbs 18:18. Marcondes, Peixoto and Stern iii Abstract Sortition, i.e., random appointment for public duty, has been employed by societies throughout the years, especially for duties related to the judicial system, as a firewall designated to prevent illegitimate interference between parties in a legal case and agents of the legal system.