Discussion
Signal detection method can be applied only when the distribution stimuli is ...............
Answer: C
Signal detection can be applied only when the distributions are overlapping.
Signal detection theory pictures two distributions of internal response: one for noise alone and one for signal plus noise. When they overlap, some noise trials produce as strong a response as some signal trials, so the observer must set a criterion and will make both misses and false alarms. The analysis then separates sensitivity (d', the distance between the distributions) from response bias.
If the distributions were completely separate, every signal could be told from noise without error and there would be nothing to analyse. Equal or unequal variance is a technical assumption about the distributions, not the condition the method requires.
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