2013
DOI: 10.1371/journal.pone.0056794
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Contrasting Diversity Values: Statistical Inferences Based on Overlapping Confidence Intervals

Abstract: Ecologists often contrast diversity (species richness and abundances) using tests for comparing means or indices. However, many popular software applications do not support performing standard inferential statistics for estimates of species richness and/or density. In this study we simulated the behavior of asymmetric log-normal confidence intervals and determined an interval level that mimics statistical tests with P(α) = 0.05 when confidence intervals from two distributions do not overlap. Our results show t… Show more

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Cited by 219 publications
(147 citation statements)
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“…We then compared 84% CIs among groups, and where these did not overlap, species richness and bird density estimates were considered as significantly different with an alpha of 0.05 (Payton et al 2003, MacGregor-Fors andPayton 2013). This comparison robustly mimics the 0.05 probability obtained from statistical tests for symmetric and asymmetric CIs.…”
Section: Discussionmentioning
confidence: 99%
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“…We then compared 84% CIs among groups, and where these did not overlap, species richness and bird density estimates were considered as significantly different with an alpha of 0.05 (Payton et al 2003, MacGregor-Fors andPayton 2013). This comparison robustly mimics the 0.05 probability obtained from statistical tests for symmetric and asymmetric CIs.…”
Section: Discussionmentioning
confidence: 99%
“…To determine whether bird species richness and community density values were statistically different among cloud forest size categories, we calculated 84% confidence intervals (CIs) for results obtained by EstimateS 9 and Distance 6.0, following detailed procedures provided in MacGregor-Fors and Payton (2013). We then compared 84% CIs among groups, and where these did not overlap, species richness and bird density estimates were considered as significantly different with an alpha of 0.05 (Payton et al 2003, MacGregor-Fors andPayton 2013).…”
Section: Discussionmentioning
confidence: 99%
“…To determine statistical differences between the density estimations between the three cities, we compared their 84% confidence intervals, following MacGregor-Fors and Payton (2013). Given that overlapping 95% confidence intervals fail in detecting statistical differences with an α ≤ 0.05, we used 84% confidence intervals, which have been shown to approximate overlapping confidence intervals with an α ≈ 0.05 for both symmetrical and asymmetrical intervals; for House Sparrow density estimations, confidence intervals are asymmetrical, from normal and log-normal distributions (Payton et al 2003, MacGregor-Fors andPayton 2013). Hence, when the 84% confidence intervals for the density estimations of two groups did not overlap, we considered them to be statistically different from one another; when their confidence intervals did overlap, we considered them to not be statistically different from one another.…”
Section: Discussionmentioning
confidence: 99%
“…3). This metric mimics P < 0.05 statistical testing more realistically than stricter confidence intervals (MacGregor-Fors and Payton 2013).…”
Section: Discussionmentioning
confidence: 97%