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The ex-Gaussian distribution of reaction times in adolescents with attention-deficit/hyperactivity disorder
Authors:Shoou-Lian Hwang Gu  Susan Shur-Fen Gau  Shyh-Weir Tzang  Wen-Yau Hsu
Affiliation:1. Graduate Institute of Behavioral Sciences, College of Medicine, Chang Gung University, Tao-Yuan, Taiwan;2. Department of Psychiatry, National Taiwan University Hospital and College of Medicine, Taipei, Taiwan;3. Department of Psychology, School of Occupational Therapy, Graduate Institute of Brain and Mind Sciences, Graduate Institute of Epidemiology and Preventive Medicine, National Taiwan University, Taipei, Taiwan;4. Department of Finance, Asia University, Taichung, Taiwan;5. Department of Psychology and Research Center for Mind, Brain and Learning, National Chengchi University, Taipei, Taiwan
Abstract:We investigated the three parameters (mu, sigma, tau) of ex-Gaussian distribution of RT derived from the Conners’ continuous performance test (CCPT) and examined the moderating effects of the energetic factors (the inter-stimulus intervals (ISIs) and Blocks) among these three parameters, especially tau, an index describing the positive skew of RT distribution. We assessed 195 adolescents with DSM-IV ADHD, and 90 typically developing (TD) adolescents, aged 10–16. Participants and their parents received psychiatric interviews to confirm the diagnosis of ADHD and other psychiatric disorders. Participants also received intelligence (WISC-III) and CCPT assessments. We found that participants with ADHD had a smaller mu, and larger tau. As the ISI/Block increased, the magnitude of group difference in tau increased. Among the three ex-Gaussian parameters, tau was positively associated with omission errors, and mu was negatively associated with commission errors. The moderating effects of ISIs and Blocks on tau parameters suggested that the ex-Gaussian parameters could offer more information about the attention state in vigilance task, especially in ADHD.
Keywords:ADHD  Reaction time variability  Ex-Gaussian distribution  Effort allocation  Cognitive-energetic model
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