Let F be a set of ordered patterns, i.e., graphs whose vertices are linearly ordered. An F-free ordering of the vertices of a graph H is a linear ordering of V (H) such that none of the patterns in F occurs as an induced ordered subgraph. We denote by Ord(F) the decision problem asking whether an input graph admits an F-free ordering; we also use Ord(F) to denote the class of graphs that do adm...

We report an investigation of novices' ability to categorize probability word problems. Individuals can effectively learn from worked examples (Ward & Sweller, 1990), especially if multiple examples with the same structural features are presented (Gick & Holyoak, 1983). We were interested in whether the order of worked examples could affect a learner's ability to categorize new problems. Partic...

The likelihood ratio test is often used to test hypotheses involving a stochastic ordering. Distribution theory for the likelihood ratio test has been developed only for two stochastically ordered distributions. For testing equality of distributions against a stochastic ordering in several populations, this paper derives the null asymptotic distribution of the likelihood ratio test statistic, w...

The purpose is to systematically review randomised controlled trials (RCTs) to change family physicians' laboratory test-ordering. We searched 15 electronic databases (no language/date limitations). We identified 29 RCTs (4,111 physicians, 175,563 patients). Six studies specifically focused on reducing unnecessary tests, 23 on increasing screening tests. Using Cochrane methodology 48.5% of stud...

Although the American Diabetes Association and the US Preventive Services Task Force (USPSTF) recommend screening individuals with diabetes risk factors, approximately one third of diabetes cases remain undiagnosed. Because either set of guidelines would be effective in detecting new cases of type 2 diabetes mellitus (DM2), one explanation for why there are so many cases of undiagnosed cases of...

We develop an algorithm for the linear ordering problem, which has a large number of applications such as triangulation of input-output matrices, minimizing total weighted completion time in one-machine scheduling, and aggregation of individual preferences. The algorithm is based on the Lagrangian relaxation of a binary integer linear programming formulation of the problem. Since the number of ...

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