# MODEL II REGRESSION USER’S GUIDE, R EDITION

@inproceedings{Legendre2008MODELIR, title={MODEL II REGRESSION USER’S GUIDE, R EDITION}, author={Pierre Legendre}, year={2008} }

Function lmodel2 computes model II simple linear regression using the following methods: major axis (MA), standard major axis (SMA), ordinary least squares (OLS), and ranged major axis (RMA). Information about these methods is available, for instance, in section 10.3.2 of Legendre and Legendre (1998) and in sections 14.13 and 15.7 of Sokal and Rohlf (1995). Parametric 95% confidence intervals are computed for the slope and intercept parameters. A permutation test is available to determine the… Expand

#### 66 Citations

Significances of differences between slopes: An upgrade for replicated time series

- Mathematics
- 2013

In some ecology subjects the slope of the line fit between x and y variables is the focus of concern. Such is the case of self-thinning theory, developed for plant demography and later verified also… Expand

Estimating significances of differences between slopes: A new methodology and software

- Mathematics
- 2013

Determining the significance of slope differences is a common requirement in studies of self-thinning, ontogeny and sexual dimorphism, among others. This has long been carried out testing for the… Expand

The br2 – weighting Method for Estimating the Effects of Air Pollution on Population Health

- Mathematics
- 2016

Protection Agency (EPA) for kindly providing additional data from their study on county-level PM2.5 concentrations vs. lung cancer incidence and mortality in North Carolina. Correspondence concerning… Expand

Small Sample Sizes Yield Biased Allometric Equations in Temperate Forests

- Environmental Science, Medicine
- Scientific reports
- 2015

It is found that fitted allometric parameters are highly sensitive to sample size, producing systematic overestimates of height, and the importance of increasing the sample sizes used for allometric equation generation is underscore. Expand

Calibrating minimum counts and catch‐per‐unit‐effort as indices of moose population trend

- Geography
- 2016

Monitoring wildlife population trends often involves indices assumed to correlate in proportion to abundance. We used aerial count data and harvest statistics for moose (Alces alces) populations in… Expand

Resurrecting the differential mortality model of sexual size dimorphism

- Biology, Medicine
- Journal of evolutionary biology
- 2009

Using sex differences in pitfall trap catches and using the evolutionary comparative method, this work found significant negative relationships between differential mortality and SSD for three size traits, suggesting that the DMM can still explain part of the observed variance in SSD. Expand

Estimating fossil hominin body mass from cranial variables: an assessment using CT data from modern humans of known body mass.

- Mathematics, Medicine
- American journal of physical anthropology
- 2014

Body mass estimates are integral to a wide range of inferences in paleoanthropology. Most techniques employ postcranial elements, but predictive equations based on cranial variables have also been… Expand

Comparison of three quick methods to estimate crab size in the land crabs Cardisoma guanhumi Latreille, 1825 and Ucides cordatus (Crustacea: Brachyura: Gecarcinidae and Ucididae)

- Environmental Science
- 2012

Quick, reliable and non destructive methods are necessary to estimate size structure on commercial land crabs, in order to acquire relevant information concerning the health of their populations.… Expand

Evaluating the convergence between eddy-covariance and biometric methods for assessing carbon budgets of forests

- Environmental Science, Medicine
- Nature communications
- 2016

It is shown that EC and BM provide different estimates of NEP, but comparable ecosystem respiration and gross primary production for forest ecosystems globally, and which methodological aspects can improve the convergence betweenEC and BM. Expand

Testing Equid Body Mass Estimate Equations on Modern Zebras—With Implications to Understanding the Relationship of Body Size, Diet, and Habitats of Equus in the Pleistocene of Europe

- Frontiers in Ecology and Evolution
- 2021

The monodactyl horses of the genus Equus originated in North America during the Pliocene, and from the beginning of the Pleistocene, they have been an essential part of the large ungulate communities… Expand

#### References

SHOWING 1-9 OF 9 REFERENCES

The structural relationship: regression in biology

- Biology
- 1988

It is concluded that if the error rate of the X variable is thought to be more than a third of that on the Y variable, then the reduced major axis method is preferable; otherwise the least squares technique is acceptable. Expand

An empirical comparison of permutation methods for tests of partial regression coefficients in a linear model

- Mathematics
- 1999

This study compared empirical type I error and power of different permutation techniques for the test of significance of a single partial regression coefficient in a multiple regression model, using… Expand

Evaluation of simple statistical criteria to qualify a simulation

- Mathematics
- 1996

Statistical and deterministic simulation modelling rely on a complex process made of trials, errors, and gradual improvement of the simulations. The major problem is to be able to quantify the… Expand

Bivariate allometry: Interval estimation of the slopes of the ordinary and standardized normal major axes and structural relationship

- Mathematics
- 1990

An exact confidence set for the slope of a linear bivariate normal structural relationship consists of a pair of conjugate intervals; the primary interval contains the maximum likelihood estimate and… Expand

Biometry: The Principles and Practice of Statistics in Biological Research

- Computer Science, Biology
- 1969

This chapter discusses statistical power and sample size in the Analysis of Variance, as well as meta-Analysis and Miscellaneous Methods, and some of the methods used in meta-analysis. Expand

Nonlinear foraging response of a large marine predator to benthic prey: eagle ray pits and bivalves in a New Zealand sandflat

- Biology
- 1997

Eagle rays exhibited a nonlinear segmented response to prey density, in which ray foraging activity was low and independent of prey density at low Macomona densities, while foraging increased sharply above a threshold density of prey but did not reach satiation at the highest prey densities in the authors' site. Expand

Developments in Numerical Ecology

- Biology
- 1988

Community ecology has acquired a mathematical framework, with three consequences: it can develop as an exact science; it can be applied operationally as a computer-assisted science to the solution of environmental problems; and it can exchange information with other disciplines using the language of mathematics. Expand

Département de sciences biologiques

- Département de sciences biologiques