4 papers
A deterministic electoral system satisfying Arrow's four conditions in an easily approached limit
Roger F. Sewell
In 1950 Arrow famously showed that there is no social welfare function satisfying four basic conditions. In 1976, on the other hand, Gibbard and Sonnenschein showed that there does…
Bayesian analysis of biomarker levels can predict time of recurrence of prostate cancer with strictly positive apparent Shannon information against an exponential attrition prior
Roger Sewell, Elisabeth Crowe, Sharokh F. Shariat
Shariat et al previously investigated the possibility of predicting from clinical data (including Gleason grade and stage) and preoperative biomarkers, which of any pair of patient…
Assessment of the quality of a prediction
Roger Sewell
Shannon defined the mutual information between two variables. We illustrate why the true mutual information between a variable and the predictions made by a prediction algorithm is…
Methods of self-assessment of confidence for secondary school maths students, and the benefits or otherwise of using such methods
Roger Sewell
We first consider the method of scoring students' self-assessment of confidence (SAC) used by Foster in [1], and find that with it reporting their true confidence is not the optima…