Bryant and Stratton College Cleveland Campus Anova Model Questions


Chapter 5: One hundred insects of a particular species were put
in a chamber and exposed to an insecticide for 15 seconds. The
procedure was applied for each of 5 insecticides. Insecticides A
and C contained a higher concentration of hydrogen cyanide.
Insecticide D contained a higher concentration of nicotine. And
Insecticides B and E contained a higher concentration of methyl
bromide. In addition to the concentrations, Insecticides A and E
were made in Iowa, while Insecticides B and C were made in
Kansas. The number of dead insects in the chamber were
recorded below:
85 90 93 98 92
|82|92|94|98 [94]
83 90 96 10091
889195 97 93
8993 96 96 93
9281 9499 95
1. Check and Report the Conditions for ANOVA.
2. Construct the fixed-effects ANOVA model. Define all terms.
3. Use the appropriate statistical procedure to determine
whether the effectiveness of the insecticide changes with
respect to insecticide. Use and include the ANOVA table.
4. Construct the 3 logical orthogonal contrasts. Show that these
contrasts are mutually orthogonal.
5. Test the significance of each of the above contrasts.
a. Contrast 1 (Hydrogen Cyanide Vs Methyl Bromide)
b. Contrast 2 (Iowa vs Kansas)
c. Contrast 3 (Insecticide D vs. A, B, C, E)
6. Which insecticide(s) is most effective at eliminating insects?
7. Construct and interpret a 95% confidence interval for the
average effectiveness of Insecticide D.
8. Construct and interpret a 90% confidence interval for the
difference of average effectiveness between Insecticide A
and C.
9. What is the effect size of Insecticide D?
10. What is the difference in effect size between Insecticide B
and E?
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