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Octonions and Quaternions
Quaternions and Octonions are four- and eight- dimensional extensions of the complex numbers. They are normed division algebras over the real numbers and find applications in spatial rotations (quaternions), and string theory and relativity (octonions). The quaternions are noncommutative and the octonions nonassociative. See the package vignette for more details.
Work with Open Road Traffic Casualty Data from Great Britain
Tools to help download, process and analyse the UK road collision data collected using the
'STATS19' form. The datasets are provided as 'CSV' files with detailed road safety information about the
circumstances of car crashes and other incidents on the roads resulting in casualties in Great Britain
from 1979 to present. Tables are available on 'colissions' with the circumstances (e.g. speed limit
of road), information about 'vehicles' involved (e.g. type of vehicle), and 'casualties' (e.g. age).
The statistics relate only to events on public roads that were reported
to the police, and subsequently recorded, using the 'STATS19' collision reporting form. See
the Department for Transport website
< https://www.data.gov.uk/dataset/cb7ae6f0-4be6-4935-9277-47e5ce24a11f/road-safety-data> for more
information on these datasets.
The package is described in a paper in the Journal of Open Source Software
(Lovelace et al. 2019)
Sparse Arrays and Multivariate Polynomials
Sparse arrays interpreted as multivariate polynomials.
Uses 'disordR' discipline (Hankin, 2022,
Planning and Analysing Survival Studies under Non-Proportional Hazards
Piecewise constant hazard functions are used to flexibly model survival distributions with non-proportional hazards and
to simulate data from the specified distributions. A function to calculate weighted log-rank tests for the comparison of two
hazard functions is included. Also, a function to calculate a test using the maximum of a set of test statistics from weighted
log-rank tests (MaxCombo test) is provided. This test utilizes the asymptotic multivariate normal joint distribution of the
separate test statistics. The correlation is estimated from the data. These methods are described in Ristl et al. (2021)
Weierstrass and Jacobi Elliptic Functions
A suite of elliptic and related functions including Weierstrass and Jacobi forms. Also includes various tools for manipulating and visualizing complex functions.
Cycle Routing and Data for Cycling Advocacy
An interface to the cycle routing/data services provided by 'CycleStreets', a not-for-profit social enterprise and advocacy organisation. The application programming interfaces (APIs) provided by 'CycleStreets' are documented at (< https://www.cyclestreets.net/api/>). The focus of this package is the journey planning API, which aims to emulate the routes taken by a knowledgeable cyclist. An innovative feature of the routing service of its provision of fastest, quietest and balanced profiles. These represent routes taken to minimise time, avoid traffic and compromise between the two, respectively.
Visualize the Effect of a Continuous Variable on a Time-to-Event Outcome
Graphically display the (causal) effect of a continuous variable on a time-to-event outcome
using multiple different types of plots based on g-computation. Those functions
include, among others, survival area plots, survival contour plots, survival quantile plots and
3D surface plots. Due to the use of g-computation, all plot allow confounder-adjustment naturally.
For details, see Robin Denz, Nina Timmesfeld (2023)
Distances on Directed Graphs
Distances on dual-weighted directed graphs using
priority-queue shortest paths (Padgham (2019)
ROBustness in Network
Assesses the robustness of the community structure of a network found by one or more community detection algorithm to give indications about their reliability. It detects if the community structure found by a set of algorithms is statistically significant and compares the different selected detection algorithms on the same network. robin helps to choose among different community detection algorithms the one that better fits the network of interest. Reference in Policastro V., Righelli D., Carissimo A., Cutillo L., De Feis I. (2021) < https://journal.r-project.org/archive/2021/RJ-2021-040/index.html>.
Easy Spatial Microsimulation (Raking) in R
Functions for performing spatial microsimulation ('raking') in R.