sp.mantel.mc

plot.mc.sim

A permutation test for the spatial general cross product statistic with
Moran (\(C_{ij} = z_i z_j\)), Geary 
(\(C_{ij} = (z_i - z_j)^2\)), and Sokal 
(\(C_{ij} = |z_i - z_j|\)) criteria, for
\(z_i = (x_i - \bar{x}) / \sigma_{x}\).
<code>plot.mc.sim</code> is a helper function to plot the outcomes of the
permutation test.

spatial

A collection of functions to create spatial weights matrix
objects from polygon 'contiguities', from point patterns by distance and
tessellations, for summarizing these objects, and for permitting their
use in spatial data analysis, including regional aggregation by minimum
spanning tree; a collection of tests for spatial 'autocorrelation',
including global 'Morans I' and 'Gearys C' proposed by 'Cliff' and 'Ord'
(1973, ISBN: 0850860369) and (1981, ISBN: 0850860814), 'Hubert/Mantel'
general cross product statistic, Empirical Bayes estimates and
'Assunção/Reis' (1999) <doi:10.1002/(SICI)1097-0258(19990830)18:16%3C2147::AID-SIM179%3E3.0.CO;2-I> Index, 'Getis/Ord' G ('Getis' and 'Ord' 1992)
<doi:10.1111/j.1538-4632.1992.tb00261.x> and multicoloured
join count statistics, 'APLE' ('Li 'et al.' )
<doi:10.1111/j.1538-4632.2007.00708.x>, local 'Moran's I', 'Gearys C'
('Anselin' 1995) <doi:10.1111/j.1538-4632.1995.tb00338.x> and
'Getis/Ord' G ('Ord' and 'Getis' 1995)
<doi:10.1111/j.1538-4632.1995.tb00912.x>,
'saddlepoint' approximations ('Tiefelsdorf' 2002)
<doi:10.1111/j.1538-4632.2002.tb01084.x> and exact tests
for global and local 'Moran's I' ('Bivand et al.' 2009)
<doi:10.1016/j.csda.2008.07.021> and 'LOSH' local indicators
of spatial heteroscedasticity ('Ord' and 'Getis')
<doi:10.1007/s00168-011-0492-y>. The implementation of most of
these measures is described in 'Bivand' and 'Wong' (2018)
<doi:10.1007/s11749-018-0599-x>, with further extensions in 'Bivand' (2022)
<doi:10.1111/gean.12319>. 'Lagrange' multiplier tests for spatial dependence
in linear models are provided ('Anselin et al'. 1996)
<doi:10.1016/0166-0462(95)02111-6>, as are 'Rao' score tests for hypothesised
spatial 'Durbin' models based on linear models ('Koley' and 'Bera' 2023)
<doi:10.1080/17421772.2023.2256810>.
From 'spdep' and 'spatialreg' versions >= 1.2-1, the model fitting functions
previously present in this package are defunct in 'spdep' and may be found
in 'spatialreg'.

Roger Bivand

spdep

Spatial Dependence: Weighting Schemes, Statistics

Micah Altman

Luc Anselin

Renato Assunção

Anil Bera

Olaf Berke

F. Guillaume Blanchet

Marilia Carvalho

Bjarke Christensen

Yongwan Chun

Carsten Dormann

Stéphane Dray

Dewey Dunnington

Virgilio Gómez-Rubio

Malabika Koley

Tomasz Kossowski

Elias Krainski

Pierre Legendre

Nicholas Lewin-Koh

Angela Li

Giovanni Millo

Werner Mueller

Hisaji Ono

Josiah Parry

Pedro Peres-Neto

Michał Pietrzak

Gianfranco Piras

Markus Reder

Jeff Sauer

Michael Tiefelsdorf

René Westerholt

Justyna Wilk

Levi Wolf

Danlin Yu

sp.mantel.mc function

<dl> <dt>var</dt>
<dd>a numeric vector the same length as the neighbours list in listw</dd> <dt>listw</dt>
<dd>a <code>listw</code> object created for example by <code>nb2listw</code></dd> <dt>nsim</dt>
<dd>number of permutations</dd> <dt>type</dt>
<dd>"moran", "geary" or "sokal" criteria for similarity</dd> <dt>zero.policy</dt>
<dd>default <code>attr(listw, "zero.policy")</code> as set when <code>listw</code> was created, if attribute not set, use global option value; if TRUE assign zero to the lagged value of zones without 
 neighbours, if FALSE assign NA</dd> <dt>alternative</dt>
<dd>a character string specifying the alternative hypothesis, 
 must be one of "greater" (default), "two.sided", or "less".</dd> <dt>spChk</dt>
<dd>should the data vector names be checked against the spatial objects for identity integrity, TRUE, or FALSE, default NULL to use <code>get.spChkOption()</code></dd> <dt>return_boot</dt>
<dd>return an object of class <code>boot</code> from the equivalent permutation bootstrap rather than an object of class <code>htest</code></dd> <dt>x</dt>
<dd>the object to be plotted</dd> <dt>xlim</dt>
<dd>the range of the x axis</dd> <dt>xlab</dt>
<dd>a title for the x axis</dd> <dt>main</dt>
<dd>an overall title for the plot</dd> <dt>sub</dt>
<dd>a sub title for the plot</dd> <dt>ptype</dt>
<dd>either "density" or "hist"</dd> <dt>...</dt>
<dd>further arguments passed through</dd></dl>

Arguments

Roger Bivand <a href="/link/Roger.Bivand%40nhh.no?package=spdep&version=1.3-6" data-mini-rdoc="spdep::Roger.Bivand@nhh.no">Roger.Bivand@nhh.no</a>

Author

Mantel-Hubert spatial general cross product statistic — sp.mantel.mc

<dl>

 <dt>var</dt>
<dd>a numeric vector the same length as the neighbours list in listw</dd>

 <dt>listw</dt>
<dd>a <code>listw</code> object created for example by <code>nb2listw</code></dd>

 <dt>nsim</dt>
<dd>number of permutations</dd>

 <dt>type</dt>
<dd>"moran", "geary" or "sokal" criteria for similarity</dd>

 <dt>zero.policy</dt>
<dd>default <code>attr(listw, "zero.policy")</code> as set when <code>listw</code> was created, if attribute not set, use global option value; if TRUE assign zero to the lagged value of zones without 
 neighbours, if FALSE assign NA</dd>

 <dt>alternative</dt>
<dd>a character string specifying the alternative hypothesis, 
 must be one of "greater" (default), "two.sided", or "less".</dd>

 <dt>spChk</dt>
<dd>should the data vector names be checked against the spatial objects for identity integrity, TRUE, or FALSE, default NULL to use <code>get.spChkOption()</code></dd>

 <dt>return_boot</dt>
<dd>return an object of class <code>boot</code> from the equivalent permutation bootstrap rather than an object of class <code>htest</code></dd>

 <dt>x</dt>
<dd>the object to be plotted</dd>

 <dt>xlim</dt>
<dd>the range of the x axis</dd>

 <dt>xlab</dt>
<dd>a title for the x axis</dd>

 <dt>main</dt>
<dd>an overall title for the plot</dd>

 <dt>sub</dt>
<dd>a sub title for the plot</dd>

 <dt>ptype</dt>
<dd>either "density" or "hist"</dd>

 <dt>...</dt>
<dd>further arguments passed through</dd>

</dl>

Roger Bivand <a href='mailto:Roger.Bivand@nhh.no'>Roger.Bivand@nhh.no</a>

Mantel-Hubert spatial general cross product statistic

sp.mantel.mc: Mantel-Hubert spatial general cross product statistic

Description

Usage

Value

Arguments

Author

References

See Also

Examples