throughyear: Linking, Routing and Fairness for Through-Year Assessment
Treats a through-year assessment system (interims during the
year feeding a multistage summative) as the unit of analysis. Links
interims to the summative scale with a latent multivariate normal model
that carries each score's measurement error forward and handles missing
interims, estimated by the EM algorithm (Dempster, Laird and Rubin, 1977,
<doi:10.1111/j.2517-6161.1977.tb01600.x>) with SQUAREM acceleration
(Varadhan and Roland, 2008, <doi:10.1111/j.1467-9469.2007.00585.x>);
simulates cold-start versus prior-informed routing in a
two-stage multistage test; checks whether priors disadvantage late
enrollers, low scorers or fast growers; and evaluates decision accuracy
and consistency of through-year scores against a single summative.
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