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Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Water 1.1 Without 1.1 additive "X" 1.3 1.4 With additive "X" 1.2 9.3 8.1 10.8 8.8 10.75 Ethanol 10 8.5 9.2 10.2 9 12.2 9.3 9.8 10.5 11.7 Solvability mg/ml Capryol 9.45 9.2 10.2 8.9 9.5 9.5 8.7 9.1 8.2 8.2 Labrafac 21.85 24.4 23.5 22.65 24.1 27 25.8 28.8 28.4 27.1 Labrasol 52.1 49.95 52 51.8 52.5 49.3 53.2 51.1 48.5 50.2 e) Design a factorial ANOVA test and run it in the statistical software package of your choice. Write all the steps (two-way factorial ANOVA model, statistical hypotheses, Tukey comparisons, interaction plot and conclusion).

Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Water 1.1 Without 1.1 additive "X" 1.3 1.4 With additive "X" 1.2 9.3 8.1 10.8 8.8 10.75 Ethanol 10 8.5 9.2 10.2 9 12.2 9.3 9.8 10.5 11.7 Solvability mg/ml Capryol 9.45 9.2 10.2 8.9 9.5 9.5 8.7 9.1 8.2 8.2 Labrafac 21.85 24.4 23.5 22.65 24.1 27 25.8 28.8 28.4 27.1 Labrasol 52.1 49.95 52 51.8 52.5 49.3 53.2 51.1 48.5 50.2 e) Design a factorial ANOVA test and run it in the statistical software package of your choice. Write all the steps (two-way factorial ANOVA model, statistical hypotheses, Tukey comparisons, interaction plot and conclusion).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Without additive "X" With additive "X" Water 1.1 1.1 1.3 1.4 1.2 9.3 8.1 10.8 8.8 10.75 Ethanol 10 8.5 9.2 10.2 9 12.2 9.3 9.8 10.5 11.7 Solvability mg/ml Capryol 9.45 9.2 10.2 8.9 9.5 9.5 8.7 9.1 90000 8.2 8.2 Labrafac 21.85 24.4 23.5 22.65 24.1 27 25.8 28.8 28.4 27.1 Labrasol 52.1 49.95 52 51.8 52.5 49.3 53.2 51.1 48.5 50.2 e) Design a factorial ANOVA test and run it in the statistical software package of your choice. Write all the steps (two-way factorial ANOVA model, statistical hypotheses, Tukey comparisons, interaction plot and conclusion). f) Use contrasts (implemented using a statistical package) among the following
Transcribed Image Text:Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Without additive "X" With additive "X" Water 1.1 1.1 1.3 1.4 1.2 9.3 8.1 10.8 8.8 10.75 Ethanol 10 8.5 9.2 10.2 9 12.2 9.3 9.8 10.5 11.7 Solvability mg/ml Capryol 9.45 9.2 10.2 8.9 9.5 9.5 8.7 9.1 90000 8.2 8.2 Labrafac 21.85 24.4 23.5 22.65 24.1 27 25.8 28.8 28.4 27.1 Labrasol 52.1 49.95 52 51.8 52.5 49.3 53.2 51.1 48.5 50.2 e) Design a factorial ANOVA test and run it in the statistical software package of your choice. Write all the steps (two-way factorial ANOVA model, statistical hypotheses, Tukey comparisons, interaction plot and conclusion). f) Use contrasts (implemented using a statistical package) among the following
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