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In: Statistics and Probability

Problem 1: A statistician for a drug company wishes to determine whether short-term memory scores are...

Problem 1: A statistician for a drug company wishes to determine whether short-term memory scores are affected by the type of medication in hyperactive children. Sixty hyperactive children (30 boys and 30 girls) were randomly assigned to receive either Cylert or Ritalin (two kinds of amphetamines which are CNS stimulants). Their short-term memory was tested on a 20-point scale (where 0 = no memory and 20 = perfect memory).


Boys Cylert: 12, 10, 13, 10, 9, 12, 13, 10, 11, 12
Boys Placebo: 5, 6, 7, 6, 4, 5, 6, 7, 5, 7
Boys Ritalin: 3, 2, 5, 6, 1, 4, 2, 6, 1, 5
Girls Cylert: 5, 6, 2, 4, 3, 2, 4, 6, 2, 4
Girls Placebo: 4, 6, 7, 6, 5, 4, 5, 6, 7, 7
Girls Ritalin: 12, 9, 14, 13, 9, 12, 8, 15, 12, 11
  
1. The sum of squares for gender are

.42
40.83
593.43

141.90

2. The sum of squares for Problem 1 drug levels are

.42
40.83
593.43
141.90

3. The sum of squares for the interaction in Problem 1 are

.42
40.83
593.43

141.90

4. The error term sum of squares for Problem 1 are

.42
40.83
593.43

141.90

5. The degrees of freedom for gender in Problem 1 are

1
2
54
59

The degrees of freedom for drug levels in Problem 1 are

1
2
54
59

6. The degrees of freedom for the interaction in Problem 1 are

1
2
54
59

7. The F value for gender in Problem 1 is

0.16
7.77
112.92
0.42

8. The F value for drug levels in Problem 1 is

0.16
7.77
112.92
0.42

9. The F value for the interaction in Problem 1 is

0.16
7.77
112.92
0.42

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