Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions

Many comparative physiological studies aim to determine if a particular species differs from a prediction based on a linear allometric regression for other species. However, the judgment as to whether the species in question conforms to this allometric relationship is often not based on any formal s...

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Main Authors: Cooper, Christine, Withers, P.
Format: Journal Article
Published: 2006
Online Access:http://hdl.handle.net/20.500.11937/34642
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author Cooper, Christine
Withers, P.
author_facet Cooper, Christine
Withers, P.
author_sort Cooper, Christine
building Curtin Institutional Repository
collection Online Access
description Many comparative physiological studies aim to determine if a particular species differs from a prediction based on a linear allometric regression for other species. However, the judgment as to whether the species in question conforms to this allometric relationship is often not based on any formal statistical analysis. An appropriate statistical method is to compare the new species’ value with the 95% confidence limits for predicting an additional datum from the relationship for the other species. We examine the basal metabolic rate (BMR) of the termitivorous numbat (Myrmecobius fasciatus) and aardwolf (Proteles cristatus) to demonstrate the use of the 95% prediction limits to determine statistically if they have a lower-than-expected BMR compared to related species. The numbat’s BMR was 83.6% of expected from mass, but fell inside the 95% prediction limits for a further datum; a BMR < 72.5% of predicted was required to fall below the one-tail 95% prediction limits. The aardwolf had a BMR that was only 74.2% of predicted from the allometric equation, but it also fell well within the 95% prediction limits; a BMR of only 41.8% of predicted was necessary to fall below the one-tail 95% prediction limits. We conclude that a formal statistical approach is essential, although it is difficult to demonstrate that a single species statistically differs from a regression relationship for other species.
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spelling curtin-20.500.11937-346422017-09-13T15:52:51Z Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions Cooper, Christine Withers, P. Many comparative physiological studies aim to determine if a particular species differs from a prediction based on a linear allometric regression for other species. However, the judgment as to whether the species in question conforms to this allometric relationship is often not based on any formal statistical analysis. An appropriate statistical method is to compare the new species’ value with the 95% confidence limits for predicting an additional datum from the relationship for the other species. We examine the basal metabolic rate (BMR) of the termitivorous numbat (Myrmecobius fasciatus) and aardwolf (Proteles cristatus) to demonstrate the use of the 95% prediction limits to determine statistically if they have a lower-than-expected BMR compared to related species. The numbat’s BMR was 83.6% of expected from mass, but fell inside the 95% prediction limits for a further datum; a BMR < 72.5% of predicted was required to fall below the one-tail 95% prediction limits. The aardwolf had a BMR that was only 74.2% of predicted from the allometric equation, but it also fell well within the 95% prediction limits; a BMR of only 41.8% of predicted was necessary to fall below the one-tail 95% prediction limits. We conclude that a formal statistical approach is essential, although it is difficult to demonstrate that a single species statistically differs from a regression relationship for other species. 2006 Journal Article http://hdl.handle.net/20.500.11937/34642 10.1007/s00360-006-0085-8 fulltext
spellingShingle Cooper, Christine
Withers, P.
Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions
title Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions
title_full Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions
title_fullStr Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions
title_full_unstemmed Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions
title_short Numbats and aardwolves—how low is low? A re-affirmation of the need for statistical rigour in evaluating regression predictions
title_sort numbats and aardwolves—how low is low? a re-affirmation of the need for statistical rigour in evaluating regression predictions
url http://hdl.handle.net/20.500.11937/34642