We report experiment results on binary categorization of (i) gray color, (ii) speech sounds, and (iii) number discrimination. Data analysis is based on constructing psychometric functions and focusing on asymptotics. We discuss the transitions between two types of subjects response to stimuli presented for two-category classification, e.g., visualized shade of gray into light-gray or dark-gray. Response types are (i) the conscious choice of non-dominant category, described by the deep tails of psychometric function, and (ii) subjects physical errors in recording decisions in cases where the category choice is obvious. Explanation of results is based on the concept of dual-system decision making. When the choice is obvious, System 1 (fast and automatic) determines subjects actions, with higher probability of physical errors than when subjects decision-making is based on slow, deliberate analysis (System 2). Results provide possible evidence for hotly debated dual-system theories of cognitive phenomena.
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