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Range00:59

Range

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The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the study of seven 16-ounce soda cans, the filled volume of soda was measured, thus producing the following amount (in ounces) of soda:
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In the field of psychology, there are several ways to organize measurements of a trait, feature, or characteristic (i.e., variables). Qualitative data, such as ethnicity, can be tabulated into a frequency count to provide information about the proportion, as well as the variety of groups in a sample or population. On the other hand, researchers can perform a wider set of calculations on quantitative data. The mean, mode, and median, for instance, are central tendency measures to identify a...
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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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Updated: Jan 29, 2026

Rapid Isolation of Wild Nematodes by Baermann Funnel
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Directionality range in Emlen funnels.

Ilias Patmanidis1,2, Bo Leberecht3,4, Martin Fränzle5,6

  • 1Department of Medicinal Chemistry, Photopharmacology and Imaging, Groningen Research Institute of Pharmacy, University of Groningen, Groningen9747 AG, The Netherlands.

Journal of the Royal Society, Interface
|January 27, 2026
PubMed
Summary
This summary is machine-generated.

This study statistically analyzes Emlen funnel data from bird orientation experiments. It provides guidelines for designing conclusive magnetic orientation studies and improving data analysis for bird navigation research.

Keywords:
Emlen funnelsmagnetoreceptionmigratory restlessnessstatistical analysisvon Mises distribution

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Area of Science:

  • Animal behavior
  • Neuroethology
  • Biophysics

Background:

  • Emlen funnel experiments are crucial for understanding bird orientation using magnetic and visual cues.
  • Current methods face limitations due to low signal-to-noise ratio and lack of standardized sample size guidelines.
  • Variations in experimental designs hinder cross-study comparisons and reproducibility.

Purpose of the Study:

  • To statistically characterize Emlen funnel data from magnetic orientation studies.
  • To establish data-informed guidelines for sample size selection in experimental design.
  • To improve the reliability and reproducibility of bird magnetoreception research.

Main Methods:

  • Conducted a large meta-analysis of double-blind magnetic orientation studies using Emlen funnels.
  • Statistically analyzed bird directedness data to identify patterns and limitations.
  • Evaluated the effectiveness of pre-selecting migration-motivated animals.

Main Results:

  • Confirmed that pre-selecting motivated birds enhances statistical power by reducing noise.
  • Identified mathematical limitations in the commonly used directionality measure 'r' due to bias.
  • Established realistic ranges for bird directedness in Emlen funnel experiments.

Conclusions:

  • Provides critical design and analysis guidelines for statistically sound magnetic orientation experiments.
  • Addresses limitations in current Emlen funnel methodology for studying bird navigation.
  • Aims to accelerate discovery in avian magnetoreception research through improved experimental practices.