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: A B 90 93 92 90 96 100 91 95 97 89 93 96 96 92 81 94 99 85 82 88 898 83 Insecticide с 88 D 98 88 94 98 E 92 94 91 93 93 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 level. Use a = 0.05 and include the ANOVA table. 4. Construct the 3 logical orthogonal contrasts: Hydrogen Cyanide vs Methyl Bromide, Iowa vs Kansas, and Nicotine vs the other four. Show that these contrasts are mutually orthogonal. 5. Test the significance of each of the above contrasts. a = 0.05. a. Contrast 1 (Hydrogen Cyanide Vs Methyl Bromide) b. Contrast 2 (lowa vs Kansas) c. Contrast 3 (Insecticide D vs. A, B, C, E) 6. Which insecticide(s) is most effective at eliminating insects? Use a = 0.05. 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?
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: A B 90 93 92 90 96 100 91 95 97 89 93 96 96 92 81 94 99 85 82 88 898 83 Insecticide с 88 D 98 88 94 98 E 92 94 91 93 93 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 level. Use a = 0.05 and include the ANOVA table. 4. Construct the 3 logical orthogonal contrasts: Hydrogen Cyanide vs Methyl Bromide, Iowa vs Kansas, and Nicotine vs the other four. Show that these contrasts are mutually orthogonal. 5. Test the significance of each of the above contrasts. a = 0.05. a. Contrast 1 (Hydrogen Cyanide Vs Methyl Bromide) b. Contrast 2 (lowa vs Kansas) c. Contrast 3 (Insecticide D vs. A, B, C, E) 6. Which insecticide(s) is most effective at eliminating insects? Use a = 0.05. 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:STAT 312
HW Assignment #5
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:
Insecticide
B C
A
85 90 93
D
98
82
92 94 98
83
90
96 100
88
91 95 97
89
93 96
96
92 81 94 99
E
92
94
91
93
93
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 level. Use a = 0.05 and include the
ANOVA table.
4. Construct the 3 logical orthogonal contrasts: Hydrogen Cyanide vs Methyl Bromide,
Iowa vs Kansas, and Nicotine vs the other four.
Show that these contrasts are mutually orthogonal.
5. Test the significance of each of the above contrasts. a = 0.05.
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? Use a = 0.05.
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?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 36 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman