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These tests graphically compare an empirical function T(r) with its simulated counterparts from the null model. However, the type I error probability \u03b1 is conventionally controlled for a fixed distance r only, whereas the functions are inspected on an interval of distances I. In this study, we propose two approaches related to Barnard's Monte Carlo test for building global envelope tests on I: ordering the empirical and simulated functions on the basis of their r-wise ranks among each other, and the construction of envelopes for a deviation test. These new tests allow the a priori choice of the global \u03b1 and they yield p-values. We illustrate these tests by using simulated and real point pattern data.<\/jats:p>","DOI":"10.1111\/rssb.12172","type":"journal-article","created":{"date-parts":[[2016,3,21]],"date-time":"2016-03-21T00:47:32Z","timestamp":1458521252000},"page":"381-404","source":"Crossref","is-referenced-by-count":214,"title":["Global Envelope Tests for Spatial Processes"],"prefix":"10.1093","volume":"79","author":[{"given":"Mari","family":"Myllym\u00e4ki","sequence":"first","affiliation":[{"name":"Natural Resources Institute Finland (Luke) , Vantaa , Finland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tom\u00e1\u0161","family":"Mrkvi\u010dka","sequence":"additional","affiliation":[{"name":"University of South Bohemia , \u010cesk\u00e9 Bud\u011bjovice, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pavel","family":"Grabarnik","sequence":"additional","affiliation":[{"name":"Institute of Physico-Chemical and Biological Problems in Soil Science , Pushchino , Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Henri","family":"Seijo","sequence":"additional","affiliation":[{"name":"Aalto University , Espoo , Finland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ute","family":"Hahn","sequence":"additional","affiliation":[{"name":"Aarhus University \u00a0 Denmark"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2016,3,20]]},"reference":[{"key":"2023021709343402300_rssb12172-cit-0001","volume-title":"Random Fields and Geometry","author":"Adler","year":"2009"},{"key":"2023021709343402300_rssb12172-cit-0002","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1890\/13-2042.1","article-title":"On tests of spatial pattern based on simulation envelopes","volume":"84","author":"Baddeley","year":"2014","journal-title":"Ecol. 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