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Cluster Sampling Method01:20

Cluster Sampling Method

12.0K
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
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Bias in Epidemiological Studies01:29

Bias in Epidemiological Studies

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Biases can arise at various stages of research, from study design and data collection to analysis and interpretation. Recognizing and addressing these biases is essential to ensure the validity and reliability of epidemiological findings.Broadly speaking, biases in epidemiology fall into three main categories: selection bias, information bias, and confounding. A more detailed description of possible biases is:  
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Quantifying and Rejecting Outliers: The Grubbs Test01:02

Quantifying and Rejecting Outliers: The Grubbs Test

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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...
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Bias01:22

Bias

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Bias refers to any tendency that prevents a question from being considered unprejudiced. In research, bias occurs when one outcome or answer is selected or encouraged over others in sampling or testing. Bias can occur during any research phase, including study design, data collection, analysis, and publication.
In statistics, a sampling bias is created when a sample is collected from a population, and some members of the population are not as likely to be chosen as others (remember, each member...
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Confidence Coefficient01:24

Confidence Coefficient

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The confidence coefficient is also known as the confidence level or degree of confidence. It is the percent expression for the probability, 1-α, that the confidence interval contains the true population parameter assuming that the confidence interval is obtained after sufficient unbiased sampling; for example, if the CL = 90%, then in 90 out of 100 samples the interval estimate will enclose the true population parameter. Here α is the area under the curve, distributed equally under...
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Expected Frequencies in Goodness-of-Fit Tests01:19

Expected Frequencies in Goodness-of-Fit Tests

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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).
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Related Experiment Video

Updated: Jul 16, 2025

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
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Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

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Identifying bias in network clustering quality metrics.

Martí Renedo-Mirambell1, Argimiro Arratia1

  • 1Soft Computing Research Group (SOCO) at Intelligent Data Science and Artificial Intelligence Research Center, Department of Computer Sciences, Universitat Politécnica de Catalunya, Barcelona, Spain.

Peerj. Computer Science
|September 14, 2023
PubMed
Summary

Network clustering quality metrics often favor fewer, larger clusters. Researchers developed new models to test these metrics, finding modularity and density ratio to be less biased for community detection.

Keywords:
Cluster assessmentNetworks communitiesPreferential attachmentStochastic block model

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Area of Science:

  • Network science
  • Data analysis
  • Algorithm evaluation

Background:

  • Network clustering quality metrics assess community structures.
  • Existing metrics may exhibit biases related to internal and external connectivity.
  • Evaluating these biases is crucial for accurate network analysis.

Purpose of the Study:

  • To investigate potential biases in popular network clustering quality metrics.
  • To develop a robust method for generating networks with controlled community structures and degree distributions.
  • To introduce and evaluate a new quality metric, the density ratio.

Main Methods:

  • Utilized stochastic and preferential attachment block models for network generation.
  • Incorporated preset community structures, Poisson, and scale-free degree distributions.
  • Generated multi-level structures to test metric performance across varying cluster numbers and strengths.

Main Results:

  • Most evaluated metrics showed a bias towards favoring partitions with fewer, larger clusters.
  • This bias persisted even when internal and external connectivity were comparable.
  • The density ratio metric demonstrated reduced bias compared to other metrics.

Conclusions:

  • Popular network clustering metrics often exhibit inherent biases.
  • Modularity and the proposed density ratio metric appear less susceptible to these biases.
  • Careful selection of quality metrics is essential for reliable community detection in networks.