Common Slope Tests for Bivariate Errors‐in‐Variables Models

By David I. Warton, Neville C. Weber. 2002

308 citations recorded by the source corpus.

Subfields: Nature and Landscape Conservation, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c64328aa5d1773c53be11f1d20e0c007ec89fd7d

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In Nature and Landscape Conservation

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Citations in the corpus

Small‐seeded species produce more seeds per square metre of canopy per year, but not per individual per lifetime (2004, methodology): “Then it tests for statistical differences in slope between groups, using methods outlined by Warton & Weber (2002).”
smatr 3– an R package for estimation and inference about allometric lines (2012, background): “2 sma(y (cid:2) x*groups) will test for common slope (Warton & Weber 2002) amongst several SMAs (for y against x ), ﬁtted separately for each level of the factor groups .”
Assessing the generality of global leaf trait relationships. (2005, methodology): “Where deemed nonheterogeneous, a common SMA slope is estimated using a likelihood-ratio method ( Warton & Weber, 2002).”
Environmental and developmental controls on specific leaf area are little modified by leaf allometry (2008, methodology): “The calculation procedure differed between species which shared and did not share a common (log) A vs. (log) M slope (β) among treatment levels, which was established by means of a slope heterogeneity test (Warton & Weber 2002).”
Convergence towards higher leaf mass per area in dry and nutrient‐poor habitats has different consequences for leaf life span (2002, methodology): “Tests for homogeneity of slopes and calculation of common slopes used a likelihood ratio method, with the test statistic closely approximating a chi-squared distribution with Bartlett correction (Warton & Weber 2002).”
Alternative height strategies among 45 dicot rain forest species from tropical Queensland, Australia (2005, methodology): “We tested first for significant heterogeneity among slopes for the two sets, by estimating a common slope (following Warton & Weber 2002) and permuting residuals from the common slope among groups (Manly 1997).”
Bivariate line‐fitting methods for allometry (2006, methodology): “A maximum likelihood estimate for the common slope is the value b̂com satisfying the equation (Warton & Weber, 2002) 0= Pg i=1 ni 1 s2 r, i ( b̂com) x 1 s2 f , i ( b̂com) s2rf , i ( b̂com) for MAPg i=1 ni 1 s2 r, i ( b̂com) + 1 s2 f , i ( b̂com) s2rf , i ( b̂com) for SMA 8>< >: : (41) This equation…”
Nutrient concentration, resorption and lifespan: leaf traits of Australian sclerophyll species (2003, background): “Tests for homogeneity of slopes and calculation of common slopes followed Warton & Weber (2002).”
Allometric relationships between lamina area, lamina mass and petiole mass of 93 temperate woody species vary with leaf habit, leaf form and altitude (2008, methodology): “We followed the methods of Warton & Weber (2002) to test the heterogeneity of regression slopes and calculate the common slopes where homogeneity of slopes was demonstrated.”