University of British Columbia Faculty of Medicine

The University of British Columbia Sessional Examinations

1. [10 points] Determine whether the following statements are true or false (you have to include proofs/counterexamples): (a) Let R be an integral domain, F – a free R-module of finite rank, and M – a torsion R-module. Then there is no injective homomorphism from F to M . Solution: True. Suppose there was an injective homomorpism φ : F → M . Then let N = φ(F ); N is a submodule of M , and there...

University of Calgary Faculty of Medicine.

University of Manitoba Faculty of Medicine.

The University of British Columbia Department of Statistics

We present a flexible, integrated statistical-based modeling approach to improve the robustness of soil moisture data predictions in a pilot study in Canada with a small data set with 44 locations and 3 time points. We apply this approach in exploring the consequence of choice of leading predictors and model structures. Competing predictors (covariates) and spatial covariance are often ignored ...

The University of British Columbia Department of Statistics

Setting structural engineering design values for lumber often involves a question of whether a sample is better utilized by testing one strength property with greater accuracy and precision, or splitting into two or more smaller samples to test multiple strength properties. This question can be solved by determining the relationship between strength properties. If their relationship is availabl...