Statistical and Geometrical Tools

A collection of statistical and geometrical tools including the aligned rank transform (ART; Higgins et al. 1990 ; Peterson 2002 ; Wobbrock et al. 2011 ), 2-D histograms and histograms with overlapping bins, a function for making all possible formulae within a set of constraints, amongst others.

statisfactory

Statistical tools and helper functions, including back-transformation of principal component (PCA) scores, creatiion of all possible formulae from a set of terms while respecting marginality and user-specified constraints, stratified sampling, and 2-D histograms. You can install this package the usual way from CRAN or the development version (plus dependency omnibus) using:

remotes::install_github('adamlilith/omnibus', dependencies=TRUE)
remotes::install_github('adamlilith/statisfactory', dependencies=TRUE)

You may need to install package remotes first.

Functions

Utilities

• makeFormulae: Make all possible formula

Distance

• euclid: Euclidean distance
• fuzzyJaccard: Fuzzy Jaccard index for non-binary values

Calculations

• geoMean: Geometric mean
• invLogitAdj: Probit transform robust to 0's or 1's
• logitAdj: Logit transform robust to 0's and 1's
• mmode: Modal value
• psum: Element-wise sum (like pmin and pmax)
• se: Standard error of the mean

Data transformation

• art: Aligned rank transform for using ANOVAs on rank data
• rankMulti: Rank values by multiple tie-breaking criteria

Principal component analysis (PCA)

*backTransPCA: "Back-transform" PCA scores to their original values

Geometry

• countConnected: Count number of contiguous "blocks" of cells

Sampling

• sampleAcross: Permute values across two vectors or columns in two data frames or matrices
• sampleStrat: Sample values stratified by one or more other variables

Statistics

• nagelR2: Nagelkerge's / Craig & Uhler's R2

Histograms

• hist2d: Two-dimensional histogram
• histOverlap: Histogram with overlapping or arbitrary bins

Adam B. Smith