The procedure in which trained participants describe their experiences and thought processes in response to stimuli presented under controlled conditions is known as

Analytic introspection.

Explanation:

Introspection refers to the method of analyzing emotions and thoughts of our own selves by looking inward. The word has been used in everyday conversation to report the informal process of researching one's internal life, at the same time it also refers to a more formalized process that has once been used as experimental research in psychology.  This research technique can help people to make a correlation between different experiences and reactions.

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