What is the minimum amount difference that can be detected between two stimuli?

Receptors for each sensory system are limited by the amount of stimulation necessary to elicit a sensation and by the amount of stimulus change that can be detected. In the field of psychology called psychophysics, relationships between physical stimuli and psychological experience are studied. One technique to study such relationships is called the method of constant stimuli, in which stimuli of varying intensities are presented in random order to a subject. The results are used to determine the absolute threshold—the minimum intensity detected by a subject 50% of the time. (Your dog, for instance, has a much lower absolute threshold for sound than you do and hears a car in the driveway before you hear the knock on the door.)

The difference threshold—the minimum (physical) distinction between stimulus attributes that can be detected 50% of the time—is also of concern. The difference threshold is also called a just noticeable difference (JND). Ernst Weber, a well‐known early investigator, observed that regardless of their magnitude, two stimuli must differ by a constant proportion for their difference to be detectable. His observations are formulated as Weber's law, which states that the “just noticeable difference” is a constant fraction of the stimulus intensity already present. (If a room is quiet, you can hear a faint knock at the door. But if your CD player is blaring, it takes a loud bang on the door for you to hear it.) If you are exposed to a stimulus that doesn't change over a period of time, sensory adaptation occurs, and you become less sensitive to the stimulus. If you have to study in a room with a constant noise outside, for example, you will usually eventually adapt to the noise, and it will become less offensive.

Signal detection. Factors other than the magnitude of the stimulus also affect sensory discriminations. When a discrimination—that is, the detection of a stimulus (a signal)—must be made against a background of noise, the procedure is called signal detection. Signal detection theory takes into account the fact that people are making decisions as they make sensory discriminations. When they attempt to separate a signal change from its background, they may guess, have biases in their judgments, or become less vigilant during the judging process. Knowledge of signal detection theory is useful in many situations—for instance, if one were teaching people to detect accurately small blips on radar screens in an air control tower. Another aspect of sensory perception, subliminal perception (perception without awareness), has been of interest in recent years. However, the data concerning the existence of the phenomenon are still controversial.

The Difference Threshold (or "Just Noticeable Difference") is the minimum amount by which stimulus intensity must be changed in order to produce a noticeable variation in sensory experience.

Ernst Weber (pronouned vay-ber), a 19th century experimental psychologist, observed that the size of the difference threshold appeared to be lawfully related to initial stimulus magnitude.   This relationship, known since as Weber's Law, can be expressed as:

What is the minimum amount difference that can be detected between two stimuli?

Weber's Law, more simply stated, says that the size of the just noticeable difference (i.e., delta I) is a constant proportion of the original stimulus value.  For example: Suppose that you presented two spots of light each with an intensity of 100 units to an observer.  Then you asked the observer to increase the intensity of one of the spots until it was just noticeably brighter than the other.  If the brightness needed to yield the just noticeable difference was 110 then the observer's difference threshold would be 10 units (i.e., delta I =110 - 100 = 10).  The Weber fraction equivalent for this difference threshold would be 0.1 (delta I/I = 10/100 = 0.1).  Using Weber's Law, one could now predict the size of the observer's difference threshold for a light spot of any other intensity value (so long as it was not extremely dim or extremely bright).  That is, if the Weber fraction for discriminating changes in stimulus brightness is a constant proportion equal to 0.1 then the size of the just noticeable difference for a spot having an intensity of 1000 would be 100 (i.e., delta I = 0.1 X 1000 = 100).

Weber's Law can be applied to variety of sensory modalities (brightness, loudness, mass, line length, etc.).  The size of the Weber fraction varies across modalities but in most cases tends to be a constant within a specific task modality.


Instructions for the Laboratory Experiments

This lab will allow the participant to measure their just noticeable difference thresholds for the discrimination of line length using a psychophysical procedure known as the Method of Constant Stimuli.

Method of Constant Stimuli Experiment

Objective

Choose the longer of the two line segment stimuli presented on the screen (for a given trial).  You will be asked to enter approximately 240 judgments (60 each at four different levels of standard line size).

What is the minimum amount difference that can be detected between two stimuli?

Sample Method of Constant Stimuli Screen

Explanation of the Stimulus Screen

The bottom of the stimulus screen displays the controls that you will be using for this experiment.  You can indicate which of the lines you judge to be longer by using the mouse and "clicking" the appropriately labeled button.  By doing so, the computer will  lock-in your judgment and automatically display the next pair of line stimuli. [Keyboard Shortcut: You can also indicate which line segment appears longer by using the RIGHT-ARROW and LEFT-ARROW keys.  If these keys appear unresponsive at first, try again after using the mouse once or twice.]

Results

  • Once you have completed judging all of the stimulus pairings, the results will be automatically displayed.  These results summarize the percent of the time your judgment was correct as a function of the difference in line length (for each of the four ranges of line length examined).  Save a copy of this data in your lab notebook.

  • To find your difference threshold for the four ranges of line length examined, you must first plot the psychometric function obtained for each level of standard stimulus line size (30, 90, 150 and 210 pixels).  This is accomplished by plotting the "percent correct judgment" on the y-axis as a function of the "difference in line size" (delta I) on the x-axis.  Once plotted, interpolate the "difference in line size" value that yields 75% correct performance.  This point is the difference threshold.

  • Once each difference threshold (delta I) has been interpolated convert it to the Weber fraction equivalent (delta I/I).

  • Plot the Weber fractions obtained at each of the four ranges of line length and determine whether Weber's Law holds true for just noticeable differences in line length.

    What is the smallest possible difference between two stimuli?

    A difference threshold is the smallest detectable difference between two stimuli which is detected 50% of the time.

    What is the minimum stimulus intensity?

    Thereby the minimum stimulus intensity that is consciously perceptible by a human observer serves as the detection threshold. From: Tactile Internet, 2021.

    What is the smallest amount of stimulation needed for detection?

    The smallest amount of stimulation needed for detection is known as the absolute threshold.