A Collection of Statistical Tools for Biologists
Multiple pairwise comparison procedure to accompany a Friedman test.
Multiple pairwise comparison procedure to accompany a Kruskal-Wallis t...
Agrostis variabilis cover measurements
Aids and veterans dataset
Functions for calculating alpha diversity.
Animation demonstrations of confidence intervals.
Animated demonstration of frequentist binomial convergence of probabil...
Animated demonstration of density for a continuous pdf
Animated depiction of six-sided die throws.
Animated depiction of experimental designs
Animated depictions of population growth
Animated plots of log-likelihood functions
Animated plot of least squares function.
Animated plot of the least squares function.
Animated depictions of Lotka-Volterra competition and exploitation mod...
Animation of Markov Chain Monte Carlo walks in bivariate normal space
Animated demonstration of randomized sampling designs
Anolis lizard contingency table data
Anscombe's quartet
Ant honeydew data
Agresti-Pendergrast test
Area under a receiver operating characteristic (ROC) curve
Bat forearm length as a function of bat age
Bayesian graphical summaries for discrete or categorical data.
Bayesian linear models with uniform priors
Barro Colorado Island Tree Counts
Tree presence/absence data from Barro Colorado island
Brunner-Dette-Munk test
Wood boring beetle data
Determine agreement of two classifications
Conversion of binary digits to decimal numbers
Bombus pollen data.
Bone development data
Pulldown menus for 'asbio' interactive graphical functions
Bootstrap CI of M-estimators differences of two samples
A simple function for bootstrapping
Angle of azimuth to a boundary.
Barplots with error bars (including interval plots)
Bromus tectorum dataset
Bivariate boxplots
Make plots of bivariate normal distributions
Atmospheric carbon and D14C measurements
Chi plots for diagnosing multivariate independence.
Chronic ailment counts for urban and rural women in Australia
Bootstrap confidence intervals
Confidence interval for the product of two proportions
Confidence interval for the median
One sided confidence interval for mu.
Z and t confidence intervals for mu.
Confidence interval estimation for the binomial parameter pi using fiv...
Confidence intervals for ratios of proportions when the denominator is...
Confidence intervals for the ratio of binomial and multinomial proport...
Confidence interval for sigma squared.
Confidence intervals for stratified random samples.
Yellowstone NP cliff community data
Calculation and display of concordant and discordant pairs
crab gill and body weight data
Agresti crabs dataset
Mahalanobis distance for two sites using a pooled covariance matrix
Florida state death penalty data
Mule deer telemetry data
Maternal deer data
Hamilton depression scores before and after drug treatment
Doornik-Hansen test for multivariate normality.
Dissolved levels in locations above and below a town
Contingency data for high school marijuana, alcohol, and cigarette use
Efficiency of a randomized block design compared to a CRD
Enzymatic rate data for the phospholipase protein ExoU
May's effective specialization index
Frigatebird drumming frequency data
Fire data from Yellowstone National Park
Fly sex and longevity
Australian frog calls following fire
Fruit weight data from Littell et al. (2002)
Geometric mean
Likelihood ratio test for tabular data
Garment Latin square data from Littell et al. (2002)
Glucose Levels Following Alcohol Ingestion
Mountain goat data from Yellowstone National Park
Agricultural factorial design
Harmonic mean
Heart rate data from Milliken and Johnson (2009)
Hodges-Lehman estimator of location
Huber M-estimator of location
Huber M-estimator iterative least squares algorithm
Huber one step M-estimator
Visual illusions illustrating human perception errors.
Ipomopsis fruit yield data
Calculates joint confidence intervals for parameters in linear models ...
Calculates kappa statistic and other classification error statistics
Kaplan-Meier survivorship.
Kullback test for equal covariance matrices.
Creosote bush counts
AIC, AICc, BIC, Mallow's Cp, and PRESS evaluation of linear models
Magnet pain relief data
Monte Carlo hypothesis testing for two samples.
Simple functions for MCMC demonstrations
Gibbs sampling of normal hierarchical models
Maximum likelihood algorithm for determining the binomial dispersal co...
Sample mode
Modified Levene's test
Mountain island biogeographic data
Mosquito wing length data
Mack-Skillings test
Patient responses to myeloma drug treatments
Nearest neighbor boundary coordinates
One sample t-test
One sample z-test
Paik diagrams
Conducts pairwise post hoc and planned comparisons associated with an ...
Welch tests controlled for simultaneous inference
Functions for customizing correlation matrices
Partial correlations of determination in multiple regression
Partial residual plots for interpretation of multiple regression.
PCBs and herring egg thickness
Permutation test for two and three way factorial designs
Nitrogen content of soils under pika haypiles
Plant traits for 136 species
Plots confidence intervals and/or bars with letters indicating signifi...
Creates plots for one way ANCOVAs
Plots a simple linear regression along with confidence and prediction ...
Polyamine data from Hollander and Wolfe (1999)
Fisher's Rothamsted potato data
Power analysis for a one sample z-test
prediction sum of squares
Preston diversity analysis
Prostate cancer data
Perpendicularity
Jacknife pseudo-values
Normal quantile plots for single or multiple factor levels
Biweight midvariance, and biweight midcorrelation.
Visualize the sampling distribution of Pearson's product moment correl...
R hat MCMC convergence statistic
Percentage bend correlation
Refinery CO dataset
Random draws from a scaled inverse chi-square distribution
Animated representation of sampling distribution basics
Animated and/or snapshot representations of a statistic's sampling dis...
Matched pairs schizophrenia data
Jackknife standard error from a set of pseudovalues
Interactive depiction of precision and accuracy
Visualize ANCOVA mechanics
Interactive depiction of the ANOVA mechanism
Depict the effect of range on correlation
Visualize exponential power functions
Visualize the Hardy Weinberg equilibrium
ANOVA linear models
Regression linear model derivation from linear algebra
Unbalanced and balanced linear models
Interactive worksheet for logical and fallacious arguments
Visualization of the M-estimation function
Depiction of the effect of random level selection on inferences concer...
Interactive depiction of the multinomial distribution
Interactive visualization of least squares regression.
Visualize important non-linear functions
Visualize pdfs
Interactive depiction of type I and type II error and power
Visualize random effects model
Demonstration of regression mechanics
Interactive depiction of ROC curves
Interactive smoother demonstrations
Visualize t-tests
Interactive depiction of type I and II error
Interactive self-testing questions
Split plot computer chip data from Littell et al. (2006)
American gizzard shad data
Shading functions for interpretation of pdf probabilities.
GUI display of probability
Sample skewness and kurtosis
SO2 data for 32 US cities with respect to 6 explanatory variables
Variance and standard error estimators for the sampling distribution o...
Salsify height dataset
Transition matrix analysis
Trim data
Robust test for random factors using trimmed means.
Robust one way trimmed means test.
Tukey's test of additivity.
Veneer data from Littell et al. (2002)
Venn probability diagrams for an event with two outcomes
Scandinavian site by species community matrix
Species richness and environmental variables from Mt Washburn
Spider web length data
Agricultural randomized block design
Whickham contingency table data for smokers and survivorship
Wildebeest carcass categorical data
Winsorize data
Contains functions from: Aho, K. (2014) Foundational and Applied Statistics for Biologists using R. CRC/Taylor and Francis, Boca Raton, FL, ISBN: 978-1-4398-7338-0.