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Week 8 Homework 10. If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are dfn and dfe? 17. The following data are from a hypothetical study on the effects of age and time on scores on a test of reading comprehension. Compute the analysis of variance summary table. Treatment Effects of a Drug on Cognitive Functioning in Children with Mental Retardation and ADHD for questions 28 and 29 O VERVIEW This study investigated the cognitive effects of stimulant medication in children with mental retardation and Attention-Deficit/Hyperactivity Disorder. This case study shows the data for the Delay of Gratification (DOG) task. Children were given various dosages of a drug, methylphenidate (MPH) and then completed this task as part of a larger battery of tests. The order of doses was counterbalanced so that each dose appeared equally often in each position. For example, six children received the lowest dose first, six received it second, etc. The children were on each dose one week before testing. This task, adapted from the preschool delay task of the Gordon Diagnostic System (Gordon, 1983), measures the ability to suppress or delay impulsive behavioral responses. Children were told that a star would appear on the computer screen if they waited “long enough” to press a response key. If a child responded sooner in less than four seconds after their previous response, they did not earn a star, and the 4-second counter restarted. The DOG differentiates children with and without ADHD of normal intelligence (e.g., Mayes et al., 2001), and is sensitive to MPH treatment in these children (Hall & Kataria, 1992). Q UESTIONS TO A NSWER Does higher dosage lead to higher cognitive performance (measured by the number of correct responses to the DOG task)? D ESIGN I SSUES This is a repeated-measures design because each participant performed the task after each dosage. D ESCRIPTIONS OF V ARIABLES V ARIABLE D ESCRIPTION
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d0 Number of correct responses after taking a placebo d15 Number of correct responses after taking .15 mg/kg of the drug d30 Number of correct responses after taking .30 mg/kg of the drug d60 Number of correct responses after taking .60 mg/kg of the drug 28. (AT) The dataset ADHD Treatment has four scores per subject. a. Is the design between-subjects or within-subjects? b. Create an ANOVA summary table. 29. (AT) Using the Anger Expression Index from the Angry Moods study as the dependent variable, perform a 2x2 ANOVA with gender and sports participation as the two factors. Do athletes and non-athletes differ significantly in how much anger they express? Do the genders differ significantly in Anger Expression Index? Is the effect of sports participation significantly different for the two genders? Use the following information to answer the next three exercises. Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses. Northeast South West Central East 16.3 16.9 16.4 16.2 17.1 16.1 16.5 16.5 16.6 17.2 16.4 16.4 16.6 16.5 16.6 16.5 16.2 16.1 16.4 16.8 = ________ ________ ________ ________ ________ S 2 = ________ ________ ________ ________ ________ H0 : μ 1 = μ 2 = μ 3 = μ 4 = μ 5 : At least any two of the group means μ 1, μ 2, …, μ 5 are not equal. 61. degrees of freedom – numerator: df ( num ) = _________ 63. F statistic = ________
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