Blossom (version 1.4)

BlossomPkg-package: Statistical comparisons with distance-function based permutation tests and for testing parameters estimated in linear models with permutation procedures

Description

Routines include a permutation version of ordinary least squares (OLS) regression that parallels the least absolute deviation (LAD) regression permutation test; a permutation and asymptotic chi-square approximation of P-values for a rank score statistic for regression quantiles; empirical coverage tests for univariate goodness-of-fit and g-sample comparisons that are extensions of the Kolmogorov-Smirnov family of statistics for comparing cumulative distribution functions; computing exact probabilities by complete enumeration of all possible combinations for small block and treatment designs in multiresponse randomized block permutation procedures (MRBP); a Monte Carlo resampling approximation alternative for all the MRPP family of statistics; and multivariate medians and distance quantiles (MEDQ) to be used as descriptive statistics with MRPP analyses; double permutation hypothesis tests procedures for linear model tests (OLS, LAD regression, and quantile rank score tests) when null models are either implicitly or explicitly constrained through the origin, i.e., no intercept models (Cade 2003, Cade et al. 2005, Cade et al. 2006); dropping all but a single zero residual in LAD (and quantile) regression permutation tests of subsets of variables in multiple regression models (Cade 2005, Cade and Richards 2006); and computation of all quantile regression estimates.

References

Cade, B.S. and B.R. Noon. 2003. A gentle introduction to quantile regression for ecologists. Frontiers in Ecology and the Environment 1, 412--420.

Cade, B.S. and J.D. Richards. 2006. A permutation test for quantile regression. Journal of Agricultural, Biological, and Environmental Statistics 11,106--126.

Cade, B.S. B.R. Noon, and C.H. Flather. 2005. Quantile regression reveals hidden bias and uncertainty in habitat models. Ecology: 86, 786--800.

Cade, B.S., J.D. Richards and P.W. Mielke, Jr. 2006. Rank score and permutation testing alternatives for regression quantile estimates. Journal of Statistical Computation and Simulation 76, 331--355

Mielke, P.W., Jr. and K.J. Berry. 2001. Permutation methods: A distance function approach. Springer-Verlag. 352pp.