bronzefilter


  These data represent a spatially inhomogeneous pattern of
  circular section profiles of particles, observed in a
  longitudinal plane section through a gradient sinter
  filter made from bronze powder, prepared by Ricardo Bernhardt, Dresden. <p></p><p>  The material was produced by sedimentation of bronze powder with varying 
  grain diameter and subsequent sintering,
  as described in Bernhardt et al. (1997). </p><p>  The data are supplied as a marked point pattern of circle centres marked by
  circle radii.
  The coordinates of the centres and the radii are recorded in mm.
  The field of view is an $18 * 7$ mm rectangle.</p><p>  The data were first analysed by Hahn et al. (1999).
</p>

datasets

spatial

Comprehensive open-source toolbox for analysing Spatial Point Patterns. Focused mainly on two-dimensional point patterns, including multitype/marked points, in any spatial region. Also supports three-dimensional point patterns, space-time point patterns in any number of dimensions, point patterns on a linear network, and patterns of other geometrical objects. Supports spatial covariate data such as pixel images.
Contains over 2000 functions for plotting spatial data, exploratory data analysis, model-fitting, simulation, spatial sampling, model diagnostics, and formal inference.
Data types include point patterns, line segment patterns, spatial windows, pixel images, tessellations, and linear networks.
Exploratory methods include quadrat counts, K-functions and their simulation envelopes, nearest neighbour distance and empty space statistics, Fry plots, pair correlation function, kernel smoothed intensity, relative risk estimation with cross-validated bandwidth selection, mark correlation functions, segregation indices, mark dependence diagnostics, and kernel estimates of covariate effects. Formal hypothesis tests of random pattern (chi-squared, Kolmogorov-Smirnov, Diggle-Cressie-Loosmore-Ford, Dao-Genton) and tests for covariate effects (Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov) are also supported.
Parametric models can be fitted to point pattern data using the functions ppm(), kppm(), slrm(), dppm() similar to glm(). Types of models include Poisson, Gibbs and Cox point processes, Neyman-Scott cluster processes, and determinantal point processes. Models may involve dependence on covariates, inter-point interaction, cluster formation and dependence on marks. Models are fitted by maximum likelihood, logistic regression, minimum contrast, and composite likelihood methods.
A model can be fitted to a list of point patterns (replicated point pattern data) using the function mppm(). The model can include random effects and fixed effects depending on the experimental design, in addition to all the features listed above.
Fitted point process models can be simulated, automatically. Formal hypothesis tests of a fitted model are supported (likelihood ratio test, analysis of deviance, Monte Carlo tests) along with basic tools for model selection (stepwise(), AIC()). Tools for validating the fitted model include simulation envelopes, residuals, residual plots and Q-Q plots, leverage and influence diagnostics, partial residuals, and added variable plots.

Adrian Baddeley

spatstat

Spatial Point Pattern Analysis, Model-Fitting, Simulation, Tests

bronzefilter function

An object of class <code>"ppp"</code>
  representing the point pattern of cell locations.
  Entries include
  <table><tr><td>
    <code>x</code> </td>
</tr><tr><td> Cartesian $x$-coordinate of bronze grain profile centre</td>
</tr><tr><td>
    <code>y</code> </td>
</tr><tr><td> Cartesian $y$-coordinate of bronze grain profile centre</td>
</tr></table>
  See <code><a rd-options="" href="/link/ppp.object?package=spatstat&version=1.48-0" data-mini-rdoc="spatstat::ppp.object">ppp.object</a></code> for details of the format.
  All coordinates are recorded in mm.

Format

R.\ Bernhardt (section image), H.\ Wendrock (coordinate measurement). 
  Adjusted, formatted and communicated by U.\ Hahn.

Source


  These data represent a spatially inhomogeneous pattern of
  circular section profiles of particles, observed in a
  longitudinal plane section through a gradient sinter
  filter made from bronze powder, prepared by Ricardo Bernhardt, Dresden. 

  The material was produced by sedimentation of bronze powder with varying 
  grain diameter and subsequent sintering,
  as described in Bernhardt et al. (1997). 

  The data are supplied as a marked point pattern of circle centres marked by
  circle radii.
  The coordinates of the centres and the radii are recorded in mm.
  The field of view is an $18 * 7$ mm rectangle.

  The data were first analysed by Hahn et al. (1999).


An object of class <code>"ppp"</code>
  representing the point pattern of cell locations.
  Entries include
  <table><tr><td>
    <code>x</code> </td>
</tr><tr><td> Cartesian $x$-coordinate of bronze grain profile centre</td>
</tr><tr><td>
    <code>y</code> </td>
</tr><tr><td> Cartesian $y$-coordinate of bronze grain profile centre</td>
</tr></table>
  See <code><a rd-options='' href='ppp.object'>ppp.object</a></code> for details of the format.
  All coordinates are recorded in mm.

bronzefilter: Bronze gradient filter data

Description

Usage

Arguments

Format

Source

References

Examples