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173 changes: 110 additions & 63 deletions doc/_static/references.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% https://bibdesk.sourceforge.io/
%% Created for Wei Kang at 2018-08-05 16:12:26 -0700
%% Created for weikang at 2019-03-28 22:46:35 -0700
%% Saved with string encoding Unicode (UTF-8)
@Article{Anselin95,
author = {Anselin, Luc},
title = {Local Indicators of Spatial Association-{LISA}},
year = 1995,
volume = 27,
number = 2,
month = {Sep},
pages = {93–115},
issn = {0016-7363},
doi = {10.1111/j.1538-4632.1995.tb00338.x},
url = {http://dx.doi.org/10.1111/j.1538-4632.1995.tb00338.x},
journal = {Geographical Analysis},
publisher = {Wiley}
}
@article{Benjamini:2001,
Abstract = {Benjamini and Hochberg suggest that the false discovery rate may be the appropriate error rate to control in many applied multiple testing problems. A simple procedure was given there as an FDR controlling procedure for independent test statistics and was shown to be much more powerful than comparable procedures which control the traditional familywise error rate. We prove that this same procedure also controls the false discovery rate when the test statistics have positive regression dependency on each of the test statistics corresponding to the true null hypotheses. This condition for positive dependency is general enough to cover many problems of practical interest, including the comparisons of many treatments with a single control, multivariate normal test statistics with positive correlation matrix and multivariate t. Furthermore, the test statistics may be discrete, and the tested hypotheses composite without posing special difficulties. For all other forms of dependency, a simple conservative modification of the procedure controls the false discovery rate. Thus the range of problems for which a procedure with proven FDR control can be offered is greatly increased.},
Author = {Yoav Benjamini and Daniel Yekutieli},
Date-Added = {2019-03-28 22:46:12 -0700},
Date-Modified = {2019-03-28 22:46:28 -0700},
Issn = {00905364},
Journal = {The Annals of Statistics},
Number = {4},
Pages = {1165--1188},
Publisher = {Institute of Mathematical Statistics},
Title = {The Control of the False Discovery Rate in Multiple Testing under Dependency},
Url = {http://www.jstor.org/stable/2674075},
Volume = {29},
Year = {2001},
Bdsk-File-1 = {YnBsaXN0MDDSAQIDBFxyZWxhdGl2ZVBhdGhZYWxpYXNEYXRhXxAhLi4vLi4vLi4vLi4vLi4vcGFwZXJzLzI2NzQwNzUucGRmTxEBUAAAAAABUAACAAAMTWFjaW50b3NoIEhEAAAAAAAAAAAAAAAAAAAAAAAAAEJEAAH/////CzI2NzQwNzUucGRmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP////8AAAAAAAAAAAAAAAAABQACAAAKIGN1AAAAAAAAAAAAAAAAAAZwYXBlcnMAAgAvLzpVc2Vyczp3ZWlrYW5nOkdvb2dsZSBEcml2ZTpwYXBlcnM6MjY3NDA3NS5wZGYAAA4AGAALADIANgA3ADQAMAA3ADUALgBwAGQAZgAPABoADABNAGEAYwBpAG4AdABvAHMAaAAgAEgARAASAC1Vc2Vycy93ZWlrYW5nL0dvb2dsZSBEcml2ZS9wYXBlcnMvMjY3NDA3NS5wZGYAABMAAS8AABUAAgAO//8AAAAIAA0AGgAkAEgAAAAAAAACAQAAAAAAAAAFAAAAAAAAAAAAAAAAAAABnA==},
Bdsk-Url-1 = {http://www.jstor.org/stable/2674075}}

@Article{Assun_o_1999,
author = {Assuncao, Renato M. and Reis, Edna A.},
title = {A new proposal to adjust {Moran’s I} for population density},
year = 1999,
volume = 18,
number = 16,
month = {Aug},
pages = {2147–2162},
issn = {1097-0258},
doi =
{10.1002/(sici)1097-0258(19990830)18:16<2147::aid-sim179>3.0.co;2-i},
url =
{http://dx.doi.org/10.1002/(sici)1097-0258(19990830)18:16<2147::aid-sim179>3.0.co;2-i},
journal = {Statistics in Medicine},
publisher = {Wiley}
}
@article{Castro:2006tz,
Author = {de Castro, Marcia Caldas and Singer, Burton H.},
Citeulike-Article-Id = {647229},
Date-Added = {2019-03-28 22:46:02 -0700},
Date-Modified = {2019-03-28 22:46:02 -0700},
Doi = {10.1111/j.0016-7363.2006.00682.x},
Issn = {0016-7363},
Journal = {Geographical Analysis},
Keywords = {local statistics, multiple comparisons, false discovery rate},
Month = {April},
Number = {2},
Pages = {180-208},
Publisher = {Blackwell Publishing},
Title = {Controlling the False Discovery Rate: A New Application to Account for Multiple and Dependent Tests in Local Statistics of Spatial Association},
Url = {http://dx.doi.org/10.1111/j.0016-7363.2006.00682.x},
Volume = {38},
Year = {2006},
Bdsk-File-1 = {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},
Bdsk-Url-1 = {http://dx.doi.org/10.1111/j.0016-7363.2006.00682.x}}

@article{Anselin95,
Author = {Anselin, Luc},
Doi = {10.1111/j.1538-4632.1995.tb00338.x},
Issn = {0016-7363},
Journal = {Geographical Analysis},
Month = {Sep},
Number = 2,
Pages = {93--115},
Publisher = {Wiley},
Title = {Local Indicators of Spatial Association-{LISA}},
Url = {http://dx.doi.org/10.1111/j.1538-4632.1995.tb00338.x},
Volume = 27,
Year = 1995,
Bdsk-Url-1 = {http://dx.doi.org/10.1111/j.1538-4632.1995.tb00338.x}}

@article{Assun_o_1999,
Author = {Assuncao, Renato M. and Reis, Edna A.},
Doi = {10.1002/(sici)1097-0258(19990830)18:16<2147::aid-sim179>3.0.co;2-i},
Issn = {1097-0258},
Journal = {Statistics in Medicine},
Month = {Aug},
Number = 16,
Pages = {2147--2162},
Publisher = {Wiley},
Title = {A new proposal to adjust {Moran's I} for population density},
Url = {http://dx.doi.org/10.1002/(sici)1097-0258(19990830)18:16<2147::aid-sim179>3.0.co;2-i},
Volume = 18,
Year = 1999,
Bdsk-Url-1 = {http://dx.doi.org/10.1002/(sici)1097-0258(19990830)18:16%3C2147::aid-sim179%3E3.0.co;2-i}}

@book{cliff81,
Address = {London},
Author = {Cliff, A.D. and Ord, J.K.},
Publisher = {Pion},
Title = {Spatial Processes: Models and Applications},
Year = {1981}
Year = {1981}}



@article{duque18,
author = {Duque, Juan C. AND Laniado, H. AND Polo, A.},
journal = {PLOS ONE},
publisher = {Public Library of Science},
title = {S-maup: Statistical Test to Measure the Sensitivity to the Modifiable Areal Unit Problem},
year = {2018},
month = {11},
volume = {13},
url = {https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0207377},
pages = {1-25},
abstract = {This work presents a nonparametric statistical test, S-maup, to measure the sensitivity of a spatially intensive variable to the effects of the Modifiable Areal Unit Problem (MAUP). To the best of our knowledge, S-maup is the first statistic of its type and focuses on determining how much the distribution of the variable, at its highest level of spatial disaggregation, will change when it is spatially aggregated. Through a computational experiment, we obtain the basis for the design of the statistical test under the null hypothesis of non-sensitivity to MAUP. We performed an exhaustive simulation study for approaching the empirical distribution of the statistical test, obtaining its critical values, and computing its power and size. The results indicate that, in general, both the statistical size and power improve with increasing sample size. Finally, for illustrative purposes, an empirical application is made using the Mincer equation in South Africa, where starting from 206 municipalities, the S-maup statistic is used to find the maximum level of spatial aggregation that avoids the negative consequences of the MAUP.},
number = {11},
doi = {https://doi.org/10.1371/journal.pone.0207377}
}

@Article{Getis_2010,
Expand All @@ -66,35 +115,33 @@ @Article{Getis_2010
publisher = {Wiley}
}

@Article{Ord_2010,
author = {Ord, J. K. and Getis, Arthur},
title = {Local Spatial Autocorrelation Statistics: Distributional
Issues and an Application},
year = 2010,
volume = 27,
number = 4,
month = {Sep},
pages = {286–306},
issn = {0016-7363},
doi = {10.1111/j.1538-4632.1995.tb00912.x},
url = {http://dx.doi.org/10.1111/j.1538-4632.1995.tb00912.x},
journal = {Geographical Analysis},
publisher = {Wiley}
}


@Article{Hubert_1981,
author = {Hubert, L. J. and Golledge, R. G. and Costanzo, C. M.},
title = {Generalized Procedures for Evaluating Spatial Autocorrelation},
year = 1981,
volume = 13,
number = 3,
month = {Sep},
pages = {224–233},
issn = {0016-7363},
doi = {10.1111/j.1538-4632.1981.tb00731.x},
url = {http://dx.doi.org/10.1111/j.1538-4632.1981.tb00731.x},
journal = {Geographical Analysis},
publisher = {Wiley}
}
@article{Ord_2010,
Author = {Ord, J. K. and Getis, Arthur},
Doi = {10.1111/j.1538-4632.1995.tb00912.x},
Issn = {0016-7363},
Journal = {Geographical Analysis},
Month = {Sep},
Number = 4,
Pages = {286--306},
Publisher = {Wiley},
Title = {Local Spatial Autocorrelation Statistics: Distributional Issues and an Application},
Url = {http://dx.doi.org/10.1111/j.1538-4632.1995.tb00912.x},
Volume = 27,
Year = 2010,
Bdsk-Url-1 = {http://dx.doi.org/10.1111/j.1538-4632.1995.tb00912.x}}

@article{Hubert_1981,
Author = {Hubert, L. J. and Golledge, R. G. and Costanzo, C. M.},
Doi = {10.1111/j.1538-4632.1981.tb00731.x},
Issn = {0016-7363},
Journal = {Geographical Analysis},
Month = {Sep},
Number = 3,
Pages = {224--233},
Publisher = {Wiley},
Title = {Generalized Procedures for Evaluating Spatial Autocorrelation},
Url = {http://dx.doi.org/10.1111/j.1538-4632.1981.tb00731.x},
Volume = 13,
Year = 1981,
Bdsk-Url-1 = {http://dx.doi.org/10.1111/j.1538-4632.1981.tb00731.x}}
7 changes: 7 additions & 0 deletions doc/api.rst
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Expand Up @@ -61,3 +61,10 @@ Moran Statistics
esda.Moran_Rate
esda.Moran_Local_Rate

Utility Functions
----------------

.. autosummary::
:toctree: generated/

esda.fdr
1 change: 1 addition & 0 deletions esda/__init__.py
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Expand Up @@ -17,3 +17,4 @@
from .geary import Geary
from .join_counts import Join_Counts
from .gamma import Gamma
from .util import fdr
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