Murtaugh and I agree on an important point: abandon accept/reject declarations. That alone will go a long way to improving statistical practice. (2) Don't confuse P values or deltaAIC with binary declarations. An argument against one is not necessarily an argument against the other. (3) Be careful interpreting a P value or deltaAIC as strength of evidence. That interpretation cannot be made for...

The competition plot is a method for determining whether or not two enzyme-catalysed reactions occur at the same active site. It is a plot of total rate against p, where p varies from 0 to 1 and specifies the concentrations (1-p)a0 and pb0 of two substrates in terms of reference concentrations a0 and b0 chosen so as to give the same rates at p = 0 and p = 1. If the two substrates react at the s...

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Clustering is an important data exploration task. A prominent clustering algorithm is agglomerative hierarchical clustering. Roughly, in each iteration, it merges the closest pair of clusters. It was rst proposed way back in 1951, and since then there have been numerous mod-iications. Some of its good features are: a natural, simple, and non-parametric grouping of similar objects which is capab...

The cd-index is a polynomial which encodes the flag f-vector of a convex polytope. For poly-topes U and V , we determine explicit recurrences for computing the cd-index of the free join U ∨ V and the cd-index of the Cartesian product U × V. As an application of these recurrences, we prove the inequality Ψ(U ∨ (V × W)) ≤ Ψ((U ∨ V) × W) involving the cd-indices of three polytopes.