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2. A randomized block design experiment was performed to study a chemical process's yield for three variations on the standard process. Treatment 1 is the control/standard treatment and treatments 2-4 are the test treatments. a. Create an appropriate plot of the experimental data and interpret the plot. b. Analyze the data for process effects while controlling for block effects using ANOVA. Explain the significance of the ANOVA F test statistic, the standard error of the model, and the R² values. c. State the assumptions of the analysis method and if they are satisfied. d. Use an appropriate post-ANOVA multiple comparisons test and interpret the results. SO 8423-678 RO Block Treatment Yield 1 4 19.9 2 2 49.0 3 3 17.9 4 1 1 39.7 5 2 2 46.2 6 2 3 26.6 7 2 4 28.1 5 8 2 1 45.8 10 9 3 2 33.1 12 10 3 4 14.9 9 11 3 1 45.1 11 12 3 3 32.0 15 13 4 3 24.6 16 14 4 4 16.0 13 15 4 1 49.3 14 16 4 2 39.3 17 17 5 1 32.4 18 18 5 2 41.3 20 19 5 4 23.8 19 20 5 3 19.8 22 21 6 2 45.0 24 22 6 4 31.8 23 23 6 3 33.5 21 24 6 1 59.0 25 25 7 1 44.0 27 26 7 3 15.8 28 27 7 4 17.2 26 28 7 2 40.7 32 29 8 4 21.0 29 30 8 1 28.3 31 31 8 3 31.3 30 32 8 2 47.8

2. A randomized block design experiment was performed to study a chemical process's yield for three variations on the standard process. Treatment 1 is the control/standard treatment and treatments 2-4 are the test treatments. a. Create an appropriate plot of the experimental data and interpret the plot. b. Analyze the data for process effects while controlling for block effects using ANOVA. Explain the significance of the ANOVA F test statistic, the standard error of the model, and the R² values. c. State the assumptions of the analysis method and if they are satisfied. d. Use an appropriate post-ANOVA multiple comparisons test and interpret the results. SO 8423-678 RO Block Treatment Yield 1 4 19.9 2 2 49.0 3 3 17.9 4 1 1 39.7 5 2 2 46.2 6 2 3 26.6 7 2 4 28.1 5 8 2 1 45.8 10 9 3 2 33.1 12 10 3 4 14.9 9 11 3 1 45.1 11 12 3 3 32.0 15 13 4 3 24.6 16 14 4 4 16.0 13 15 4 1 49.3 14 16 4 2 39.3 17 17 5 1 32.4 18 18 5 2 41.3 20 19 5 4 23.8 19 20 5 3 19.8 22 21 6 2 45.0 24 22 6 4 31.8 23 23 6 3 33.5 21 24 6 1 59.0 25 25 7 1 44.0 27 26 7 3 15.8 28 27 7 4 17.2 26 28 7 2 40.7 32 29 8 4 21.0 29 30 8 1 28.3 31 31 8 3 31.3 30 32 8 2 47.8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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2. A randomized block design experiment was performed to study a chemical process's yield for three variations on the standard process. Treatment 1 is the control/standard treatment and treatments 2-4 are the test treatments. a. Create an appropriate plot of the experimental data and interpret the plot. b. Analyze the data for process effects while controlling for block effects using ANOVA. Explain the significance of the ANOVA F test statistic, the standard error of the model, and the R² values. c. State the assumptions of the analysis method and if they are satisfied. d. Use an appropriate post-ANOVA multiple comparisons test and interpret the results.
Transcribed Image Text:2. A randomized block design experiment was performed to study a chemical process's yield for three variations on the standard process. Treatment 1 is the control/standard treatment and treatments 2-4 are the test treatments. a. Create an appropriate plot of the experimental data and interpret the plot. b. Analyze the data for process effects while controlling for block effects using ANOVA. Explain the significance of the ANOVA F test statistic, the standard error of the model, and the R² values. c. State the assumptions of the analysis method and if they are satisfied. d. Use an appropriate post-ANOVA multiple comparisons test and interpret the results.
SO 8423-678 RO Block Treatment Yield 1 4 19.9 2 2 49.0 3 3 17.9 4 1 1 39.7 5 2 2 46.2 6 2 3 26.6 7 2 4 28.1 5 8 2 1 45.8 10 9 3 2 33.1 12 10 3 4 14.9 9 11 3 1 45.1 11 12 3 3 32.0 15 13 4 3 24.6 16 14 4 4 16.0 13 15 4 1 49.3 14 16 4 2 39.3 17 17 5 1 32.4 18 18 5 2 41.3 20 19 5 4 23.8 19 20 5 3 19.8 22 21 6 2 45.0 24 22 6 4 31.8 23 23 6 3 33.5 21 24 6 1 59.0 25 25 7 1 44.0 27 26 7 3 15.8 28 27 7 4 17.2 26 28 7 2 40.7 32 29 8 4 21.0 29 30 8 1 28.3 31 31 8 3 31.3 30 32 8 2 47.8
Transcribed Image Text:SO 8423-678 RO Block Treatment Yield 1 4 19.9 2 2 49.0 3 3 17.9 4 1 1 39.7 5 2 2 46.2 6 2 3 26.6 7 2 4 28.1 5 8 2 1 45.8 10 9 3 2 33.1 12 10 3 4 14.9 9 11 3 1 45.1 11 12 3 3 32.0 15 13 4 3 24.6 16 14 4 4 16.0 13 15 4 1 49.3 14 16 4 2 39.3 17 17 5 1 32.4 18 18 5 2 41.3 20 19 5 4 23.8 19 20 5 3 19.8 22 21 6 2 45.0 24 22 6 4 31.8 23 23 6 3 33.5 21 24 6 1 59.0 25 25 7 1 44.0 27 26 7 3 15.8 28 27 7 4 17.2 26 28 7 2 40.7 32 29 8 4 21.0 29 30 8 1 28.3 31 31 8 3 31.3 30 32 8 2 47.8
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