Aster Models and Lande-Arnold Beta (revised)

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Aster Models and Lande-Arnold Beta (revised)

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2010-01-13

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Lande and Arnold (1983) proposed an estimate of beta, the directional selection gradient, by ordinary least squares (OLS). Aster models (Geyer, Wagenius and Shaw, 2007; Shaw, Geyer, Wagenius, Hangelbroek, and Etterson, 2008) estimate exactly the same beta, so providing no improvement over the Lande-Arnold method in point estimation of this quantity. Aster models do provide correct confidence intervals, confidence regions, and hypothesis tests for beta; in contrast, such procedures derived from OLS are often invalid because the assumptions for OLS are grossly incorrect. This revision fixes a bug which made the figure incorrect in the original.

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Geyer, Charles J.; Shaw, Ruth G.. (2010). Aster Models and Lande-Arnold Beta (revised). Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/56394.

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