Which method involves presenting stimuli of varying intensities in a random order?

The correct choice is the Method of Constant Stimuli, which is a psychophysical method used to determine a person's sensitivity to stimuli. In this approach, different levels of stimuli are presented in a random order. This randomness helps prevent any systematic biases in how the observer might respond based on the order of stimulus presentation.

This method is particularly valuable because it allows for a clearer assessment of an individual's perception threshold. By mixing various intensities without a predictable sequence, it minimizes the potential for a learning effect, where participants may become more accurate or change their response patterns simply due to the order in which stimuli were experienced.

The Method of Adjustment, on the other hand, requires participants to manipulate the stimulus themselves until it reaches a certain threshold, which does not involve random presentation. The Method of Limits presents stimuli in a systematic ascending or descending order, which also differs from randomization. Magnitude Estimation involves asking participants to assign numbers to the perceived intensity of stimuli, rather than randomly presenting varying intensities. Each of these alternatives lacks the specific characteristic of random stimulus presentation found in the Method of Constant Stimuli.