Construct · 5 fields · 6 citations
One name. Different field. Different construct. One map.
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The faintest stimulus a person can detect (the absolute threshold) or the smallest change between two stimuli they can tell apart (the difference threshold, also called the just noticeable difference). Fechner's 1860 Elements of Psychophysics founded the measurement of these limits, building on Weber's finding that the just noticeable difference grows in proportion to the baseline intensity. The referent is a boundary of human perception, measured in units of the stimulus, and it is not the voltage at which a neuron fires, a cutoff chosen for a classifier, or the fraction of a crowd that must act first.[1][2]
The membrane voltage a neuron must reach before it fires an all-or-nothing action potential: below it the cell stays quiet, and at it the voltage-gated sodium channels open in a self-reinforcing rush that produces a spike. Hodgkin and Huxley's 1952 quantitative model of the squid giant axon described how this threshold and the spike arise from voltage-dependent ion currents. The referent is an electrical tipping point inside a living cell, measured in millivolts, and it differs from a limit of perception, a classifier's cutoff, or a social tipping point.[3]
A cutoff value on a continuous score that turns it into a yes-or-no decision: cases scoring above the threshold are labelled positive and those below are labelled negative, and moving the threshold trades false positives against false negatives. Fawcett's 2006 introduction to ROC analysis showed how sweeping the threshold across all its values traces the receiver operating characteristic curve, which summarises a classifier's performance apart from any single cutoff. The referent is a chosen number in a decision rule, set to balance the costs of error, and it is not a perceptual limit, a neuron's voltage, or a crowd's tipping point.[4]
The number or fraction of other people who must already be doing something before a given individual joins in: each person carries their own threshold, and collective behavior spreads once enough low-threshold people act to draw in the next group. Granovetter's 1978 threshold models of collective behavior showed how a small shift in the distribution of individual thresholds can flip a crowd from calm to a riot. The referent is a social tipping point in a population's choices, counted as a proportion of others acting, and it shares nothing with a perceptual limit, a neuron's firing voltage, or a classifier's cutoff.[5]
In toxicology, threshold refers to the dose below which no adverse effect is expected, estimated in safety studies by the no-observed-adverse-effect level. This meaning comes from Dorato (2005) in Regulatory Toxicology and Pharmacology.[6]
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