Contrasting Diversity Values: Statistical Inferences Based on Overlapping Confidence Intervals
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{"title"=>"Contrasting Diversity Values: Statistical Inferences Based on Overlapping Confidence Intervals", "type"=>"journal", "authors"=>[{"first_name"=>"Ian", "last_name"=>"MacGregor-Fors", "scopus_author_id"=>"23089086700"}, {"first_name"=>"Mark E.", "last_name"=>"Payton", "scopus_author_id"=>"35592260000"}], "year"=>2013, "source"=>"PLoS ONE", "identifiers"=>{"pui"=>"368400366", "sgr"=>"84874282823", "pmid"=>"23437239", "scopus"=>"2-s2.0-84874282823", "isbn"=>"1932-6203 (Electronic) 1932-6203 (Linking)", "doi"=>"10.1371/journal.pone.0056794", "issn"=>"19326203"}, "id"=>"3acf4bff-b936-38c0-bd55-c4d1bd446dbe", "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 that 84% confidence intervals robustly mimic 0.05 statistical tests for asymmetric confidence intervals, as has been demonstrated for symmetric ones in the past. Finally, we provide detailed user-guides for calculating 84% confidence intervals in two of the most robust and highly-used freeware related to diversity measurements for wildlife (i.e., EstimateS, Distance).", "link"=>"http://www.mendeley.com/research/contrasting-diversity-values-statistical-inferences-based-overlapping-confidence-intervals", "reader_count"=>82, "reader_count_by_academic_status"=>{"Unspecified"=>2, "Professor > Associate Professor"=>5, "Researcher"=>20, "Student > Doctoral Student"=>7, "Student > Ph. D. Student"=>14, "Student > Postgraduate"=>6, "Student > Master"=>14, "Other"=>5, "Student > Bachelor"=>4, "Professor"=>5}, "reader_count_by_user_role"=>{"Unspecified"=>2, "Professor > Associate Professor"=>5, "Researcher"=>20, "Student > Doctoral Student"=>7, "Student > Ph. D. Student"=>14, "Student > Postgraduate"=>6, "Student > Master"=>14, "Other"=>5, "Student > Bachelor"=>4, "Professor"=>5}, "reader_count_by_subject_area"=>{"Unspecified"=>6, "Environmental Science"=>15, "Biochemistry, Genetics and Molecular Biology"=>1, "Agricultural and Biological Sciences"=>55, "Medicine and Dentistry"=>1, "Neuroscience"=>1, "Immunology and Microbiology"=>1, "Earth and Planetary Sciences"=>2}, "reader_count_by_subdiscipline"=>{"Medicine and Dentistry"=>{"Medicine and Dentistry"=>1}, "Neuroscience"=>{"Neuroscience"=>1}, "Immunology and Microbiology"=>{"Immunology and Microbiology"=>1}, "Earth and Planetary Sciences"=>{"Earth and Planetary Sciences"=>2}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>55}, "Biochemistry, Genetics and Molecular Biology"=>{"Biochemistry, Genetics and Molecular Biology"=>1}, "Unspecified"=>{"Unspecified"=>6}, "Environmental Science"=>{"Environmental Science"=>15}}, "reader_count_by_country"=>{"United States"=>1, "Mexico"=>2, "United Kingdom"=>1, "Portugal"=>1, "Germany"=>1, "Spain"=>2, "India"=>1, "Estonia"=>1}, "group_count"=>1}

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Figshare

  • {"files"=>["https://ndownloader.figshare.com/files/1010323"], "description"=>"<p>Results from simulations including 10,000 iterations.</p>", "links"=>[], "tags"=>["sizes", "intervals", "simulate", "combinations", "log-normal", "parameter", "means"], "article_id"=>670735, "categories"=>["Information And Computing Sciences", "Mathematics", "Biological Sciences"], "users"=>["Ian MacGregor-Fors", "Mark E. Payton"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0056794.t002", "stats"=>{"downloads"=>1, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Appropriate_sizes_of_confidence_intervals_to_simulate_P_8202_8202_0_05_and_P_8202_8202_0_10_size_tests_for_various_combinations_of_log_normal_parameter_values_and_associated_means_and_variances_/670735", "title"=>"Appropriate sizes of confidence intervals to simulate P = 0.05 and P = 0.10 size tests for various combinations of log-normal parameter values and associated means and variances.", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 00:12:15"}
  • {"files"=>["https://ndownloader.figshare.com/files/957412"], "description"=>"<p>In the example on the left (A vs. B), with 95% confidence intervals, no conclusion can be drawn regarding statistical difference in diversity values at P = 0.05. In the example on the right (A′ vs B′), with 84% confidence intervals but the same means as on the left, we can confidently infer that diversity values differ at P<0.05.</p>", "links"=>[], "tags"=>["comparing"], "article_id"=>627569, "categories"=>["Information And Computing Sciences", "Mathematics", "Biological Sciences"], "users"=>["Ian MacGregor-Fors", "Mark E. Payton"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0056794.g001", "stats"=>{"downloads"=>0, "page_views"=>12, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Hypothetical_scenario_comparing_diversity_values_with_95_and_84_confidence_intervals_/627569", "title"=>"Hypothetical scenario comparing diversity values with 95% and 84% confidence intervals.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-21 14:46:27"}
  • {"files"=>["https://ndownloader.figshare.com/files/957413"], "description"=>"<p>For this representative example, the data were created from a log-normal population with a mean of 90.2 and variance of 32.6. In case 1, the both sets of intervals overlap, both suggesting that no significant (NS) differences exist. Note, however, that the 95% confidence intervals will yield an error rate of less than 1%, while the 84% confidence intervals better mimic a 0.05 level test. In case 2, 95% confidence intervals slightly overlap, while 84% ones do not. For this situation, these two approaches would lead to different conclusions: (a) significant differences (*) when considering 84% confidence intervals, and (b) no statistical differences can be inferred using 95% confidence intervals (?). In case 3, none of the sets of intervals overlap, both suggesting that significant differences exist. Note, however, that statistical differences using 95% confidence intervals are assumed with an error rate of less than 1%, while that of 84% confidence intervals better mimic a 0.05 level test.</p>", "links"=>[], "tags"=>["intervals", "replicates"], "article_id"=>627570, "categories"=>["Information And Computing Sciences", "Mathematics", "Biological Sciences"], "users"=>["Ian MacGregor-Fors", "Mark E. Payton"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0056794.g002", "stats"=>{"downloads"=>1, "page_views"=>20, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Comparison_of_the_use_of_95_and_84_confidence_intervals_in_three_replicates_of_our_simulations_/627570", "title"=>"Comparison of the use of 95% and 84% confidence intervals in three replicates of our simulations.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-02-21 14:46:36"}
  • {"files"=>["https://ndownloader.figshare.com/files/1010304"], "description"=>"<p>Values that represent the preferred choice of confidence interval to mimic tests with alpha of 0.05 and 0.10 are marked with an asterisk (*). This table represents only one set of parameter values considered (among 48 sets considered) and is meant to represent typical results associated with the other population values considered in our simulations.</p>", "links"=>[], "tags"=>["iterations", "overlap", "intervals", "sizes", "generated", "log-normal", "populations", "variance", "parameter"], "article_id"=>670711, "categories"=>["Information And Computing Sciences", "Mathematics", "Biological Sciences"], "users"=>["Ian MacGregor-Fors", "Mark E. Payton"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0056794.t001", "stats"=>{"downloads"=>6, "page_views"=>5, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Simulation_results_of_10_000_iterations_calculating_the_overlap_of_confidence_intervals_of_various_sizes_generated_from_log_normal_populations_with_mean_of_12_2_and_variance_of_0_08_log_normal_parameter_values_of__2_5_and_2_8202_8202_0_0005_/670711", "title"=>"Simulation results of 10,000 iterations calculating the overlap of confidence intervals of various sizes generated from log-normal populations with mean of 12.2 and variance of 0.08 (log-normal parameter values of μ = 2.5 and σ<sup>2</sup> = 0.0005).", "pos_in_sequence"=>0, "defined_type"=>3, "published_date"=>"2013-02-20 00:11:51"}

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Relative Metric

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