Question

Problem Set 3: (9 pts) This study investigated the cognitive effects of stimulant medication in children with Attention-Deficit/Hyperactivity Disorder (ADHD). Shown below are data for the Connors’ Continuous Performance Test (CPT) for 15 children diagnosed with ADHD. This is a visual vigilance task that requires the child to respond to the computer screen any time they see any letter other than “X”. An overall index is calculated that can be used to indicate attention problems based on reaction time, omission errors, and variability of responses. A higher number indicates more problems with attention. Children were given various daily dosages of a drug methylphenidate (MPH) – given 0, 5mg, 10mg, and 25mg). The order of doses was counterbalanced so that all children received all doses at one point in the experiment. The children were on each dose one week before taking the CPT test (so each child took the test four times). 0 MG 5 MG 10 MG 25 MG 11 9 11 10 10 7 9 10 11 10 10 9 10 9 10 11 12 7 9 8 11 7 8 8 10 11 10 10 11 10 10 11 10 9 9 11 12 8 8 9 10 9 9 9 12 8 9 10 10 9 10 8 12 11 11 12 9 9 9 8 Conduct the appropriate statistical analysis to determine if there is an effect of drug dose on CPT performance in ADHD patients. Paste SPSS output.  (3 pts) Create an appropriate graph for the data set. (2 pts)   Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don’t forget to include a decision about the null hypothesis. (4 pts)

Answer 1

SOLUTION:-

The hypothesis being tested is:-

H0: µ1 = µ2 = µ3 = µ4
Ha: At least one means is not equal

The output is:

Source	SS	df	MS	F	P-Value
Treatment	14.55	3	4.850	4.31	.0208
Error	18.00	16	1.125
Total	32.55	19

The P-value from the output is 0.0208.

Since the P-value (0.0208) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that at least one means is not equal.

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