Related Experiment Video
Updated: Mar 6, 2026

09:49
Divergence of Root Microbiota in Different Habitats based on Weighted Correlation Networks
Published on: September 25, 2021
4.9K
Methods for detecting non-randomness in species co-occurrences: a contribution
1Botany Department, University of Otago, Dunedin, New Zealand.
Oecologia
|March 18, 2017
Summary
This study challenges existing methods for analyzing species co-occurrence patterns on islands. A new randomization test reveals significant community structure, but with unexpected negative associations.
Area of Science:
- Ecology
- Community Ecology
- Biogeography
Background:
- Assessing species co-occurrence patterns is crucial for understanding community structure.
- Existing null models, like Gilpin and Diamond's, may produce misleading results, indicating structure in random data.
Purpose of the Study:
- To propose and validate an alternative statistical method for analyzing species co-occurrence.
- To re-evaluate island community structure using a more robust null model and randomization test.
Main Methods:
- Developed a novel randomization test using Monte Carlo simulations to determine the expected distribution of species co-occurrences.
- Employed a null model that accounts for observed island and species occurrence totals, offering a conservative test.
- Applied the method to the Vanuatu bird dataset previously analyzed by Gilpin and Diamond.
Main Results:
- The proposed randomization test identified significant departure from the null model in the Vanuatu bird data.
- Contrary to Gilpin and Diamond's findings, this study found an excess of extreme negative species associations.
- The results highlight the limitations of previous methods in accurately detecting community structure.
Conclusions:
- The developed randomization test provides a more reliable approach to analyzing species co-occurrence.
- Island community structure can exhibit patterns not detected by standard methods, including an excess of negative associations.
- Further research is needed to elucidate the ecological drivers (autecology, biogeography, interspecific interactions) behind observed negative associations.
Related Concept Videos
Wald-Wolfowitz Runs Test I
992
The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
The test works...
The test works...
992
Unusual Results
4.0K
Unusual results are those that have a very low chance of occurring. Unusual results can be identified using probabilities and the range rule of thumb. In problems involving probability, unusual results can be observed in 2 instances – an unusually high number of successes or an unusually low number of successes.
According to the range rule of thumb, any value above or below two standard deviations, 2σ from the mean, μ is considered unusual.
Maximum unusual value =...
According to the range rule of thumb, any value above or below two standard deviations, 2σ from the mean, μ is considered unusual.
Maximum unusual value =...
4.0K
Wald-Wolfowitz Runs Test II
591
The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and 0s. In...
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and 0s. In...
591
Quantifying and Rejecting Outliers: The Grubbs Test
4.3K
Sometimes, a data set can have a recorded numerical observation that greatly deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier. To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
4.3K
Expected Frequencies in Goodness-of-Fit Tests
8.8K
A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n) to the number of categories (k).
8.8K
Wilcoxon Signed-Ranks Test for Matched Pairs
553
The Wilcoxon signed-rank test for matched pairs evaluates the null hypothesis by combining the ranks of differences with their signs. It essentially tests whether the median of the differences in a population of matched pairs is zero. Since the test incorporates more information than the sign test, it generally yields more trustable conclusions. This test also does not require the data to follow a normal distribution, but two conditions must be met for it to be applicable: (1) the data must...
553

