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Related Experiment Video

Updated: Jun 19, 2026

Use of Bisection to Reduce Mitochondrial DNA in the Bovine Oocyte

Use of Bisection to Reduce Mitochondrial DNA in the Bovine Oocyte

Published on: July 6, 2022

On the bisection operation.

Sergio Cesare Masin¹, Enrico Toffalini

¹Department of General Psychology, University of Padua, Via Venezia 8, 35131 Padua, Italy. scm@unipd.it

Attention, Perception & Psychophysics

|October 6, 2009

Summary

The bisection operation, used to find a midpoint between two sensory perceptions, functions as a linear mean. This study confirms that the bisection operation is equivalent to a linear mean, not a nonlinear one.

Area of Science:

Psychology
Psychophysics
Sensory Perception

Background:

The bisection operation determines a perceived sensory magnitude (C) equidistant from two other magnitudes (A and B).
Existing data are inconclusive on whether this operation represents a linear or nonlinear mean.
Functional measurement research suggests that sensory ratings are linear measures.

Purpose of the Study:

To determine if the bisection operation is equivalent to a linear or nonlinear mean.
To test predictions derived from linear and nonlinear mean models using factorial variation of sensory magnitudes.

Main Methods:

Experiments utilized brightness and perceived size as sensory attributes.
Stimuli A and B were varied factorially.
Rated magnitude C was plotted against rated magnitude A for each level of B.

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Main Results:

The study confirmed predictions of the linear mean model.
Results showed parallel straight lines when plotting rated C against rated A for each B.
This indicates that the bisection operation is equivalent to a linear mean.

Conclusions:

The bisection operation is equivalent to a linear mean.
Sensory ratings, as employed in functional measurement, behave linearly.
This finding clarifies the mathematical nature of the bisection operation in sensory perception.