Abstract
In this chapter we will revise two of the most commonly used statistical tools—the two-sample t-test and simple linear regression. Then we will see a remarkable equivalence—that these are actually exactly the same thing! This is a very important result; it will give us some intuition for how we can write most of the statistical techniques you have previously learnt as special cases of the same linear model.
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References
Austin, M. (2002). Spatial prediction of species distribution: An interface between ecological theory and statistical modelling. Ecological Modelling, 157, 101–118.
Moles, A. T., Warton, D. I., Warman, L., Swenson, N. G., Laffan, S. W., Zanne, A. E., Pitman, A., Hemmings, F. A., & Leishman, M. R. (2009). Global patterns in plant height. Journal of Ecology, 97, 923–932.
Oberdorff, T., & Hughes, R. M. (1992). Modification of an index of biotic integrity based on fish assemblages to characterize rivers of the seine basin, France. Hydrobiologia, 228, 117–130.
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Warton, D.I. (2022). An Important Equivalence Result. In: Eco-Stats: Data Analysis in Ecology. Methods in Statistical Ecology. Springer, Cham. https://doi.org/10.1007/978-3-030-88443-7_2
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DOI: https://doi.org/10.1007/978-3-030-88443-7_2
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