Exam 12: Analysis of Variance: Two-Factor Completely Randomized Design

The element mercury causes massive brain dysfunction, including hallucinations and delusions. A "silver filling" from your dentist is actually 50% to 66% mercury and only 35% silver. The American Dentistry Association (ADA) says that "silver amalgams" are safe. A psychologist wishes to determine whether mercury fillings affect a child's brain functioning. The Coolidge Personality and Neuropsychological Inventory Neuropsychological Dysfunction (ND) scale has 20 questions, such as "My child has learning problems," "My child is hyperactive," and so on. The overall score on the ND scale ranges from 0 (no evidence of brain dysfunction) to 20 (severe brain dysfunction). The survey is given to parents as they visit a dentist with their child. The number of "silver" fillings is noted, as is the child's gender. For analysis purposes, the children are divided up into whether they have no fillings, one to three fillings, or more than five fillings, and their ND score is noted. No Fillings One to Three Fillings Five or More Fillings Male Female Male Female Male Female 7 4 11 6 17 13 4 6 12 9 20 15 6 7 10 9 15 11 7 8 9 9 17 12 5 4 13 8 14 12 5 7 14 5 18 14 -The F value for gender is

The element mercury causes massive brain dysfunction, including hallucinations and delusions. A "silver filling" from your dentist is actually 50% to 66% mercury and only 35% silver. The American Dentistry Association (ADA) says that "silver amalgams" are safe. A psychologist wishes to determine whether mercury fillings affect a child's brain functioning. The Coolidge Personality and Neuropsychological Inventory Neuropsychological Dysfunction (ND) scale has 20 questions, such as "My child has learning problems," "My child is hyperactive," and so on. The overall score on the ND scale ranges from 0 (no evidence of brain dysfunction) to 20 (severe brain dysfunction). The survey is given to parents as they visit a dentist with their child. The number of "silver" fillings is noted, as is the child's gender. For analysis purposes, the children are divided up into whether they have no fillings, one to three fillings, or more than five fillings, and their ND score is noted. No Fillings One to Three Fillings Five or More Fillings Male Female Male Female Male Female 7 4 11 6 17 13 4 6 12 9 20 15 6 7 10 9 15 11 7 8 9 9 17 12 5 4 13 8 14 12 5 7 14 5 18 14 -The sums of squares for fillings are

A psychologist 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 that are central nervous system stimulants). Their short-term memory was tested on a 20-point scale (where 0 = no memory and 20 = perfect memory). Boys Girls Cylert Placebo Ritalin Cylert Placebo Ritalin 12 5 3 5 4 12 10 6 2 6 6 9 13 7 5 2 7 14 10 6 6 4 6 13 9 4 1 3 5 9 12 5 4 2 4 12 13 6 2 4 5 8 10 7 6 6 6 15 11 5 1 2 7 12 12 7 5 4 7 11 -The sums of squares for the interaction are

The element mercury causes massive brain dysfunction, including hallucinations and delusions. A "silver filling" from your dentist is actually 50% to 66% mercury and only 35% silver. The American Dentistry Association (ADA) says that "silver amalgams" are safe. A psychologist wishes to determine whether mercury fillings affect a child's brain functioning. The Coolidge Personality and Neuropsychological Inventory Neuropsychological Dysfunction (ND) scale has 20 questions, such as "My child has learning problems," "My child is hyperactive," and so on. The overall score on the ND scale ranges from 0 (no evidence of brain dysfunction) to 20 (severe brain dysfunction). The survey is given to parents as they visit a dentist with their child. The number of "silver" fillings is noted, as is the child's gender. For analysis purposes, the children are divided up into whether they have no fillings, one to three fillings, or more than five fillings, and their ND score is noted. No Fillings One to Three Fillings Five or More Fillings Male Female Male Female Male Female 7 4 11 6 17 13 4 6 12 9 20 15 6 7 10 9 15 11 7 8 9 9 17 12 5 4 13 8 14 12 5 7 14 5 18 14 -The sums of squares for gender are

A psychologist 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 that are central nervous system stimulants). Their short-term memory was tested on a 20-point scale (where 0 = no memory and 20 = perfect memory). Boys Girls Cylert Placebo Ritalin Cylert Placebo Ritalin 12 5 3 5 4 12 10 6 2 6 6 9 13 7 5 2 7 14 10 6 6 4 6 13 9 4 1 3 5 9 12 5 4 2 4 12 13 6 2 4 5 8 10 7 6 6 6 15 11 5 1 2 7 12 12 7 5 4 7 11 -The F value for gender is