(a) Perform a hypothesis test to asses whether or not the yield of peas was affected by the study Block the Pea plant was placed in. Interpret your results. (b) Perform a hypothesis test to assess if there were differences across the Phosphorous (P) and Nitrogen supplementation (N) variable, and if these two variables interact. (c) Perform pairwise-comparisons for the groups in part b). (d) Construct a plot to show how yield varies with fertilizer treatment (N,P) and any interaction effects. block N P K yield 1 1 0 1 1 49.5 2 1 1 1 0 62.8 3 1 0 0 0 46.8 4 1 1 0 1 57 5 2 1 0 0 59.8 6 2 1 1 1 58.5 7 2 0 0 1 55.5 8 2 0 1 0 56 9 3 0 1 0 62.8 10 3 1 1 1 55.8 11 3 1 0 0 69.5 12 3 0 0 1 55 13 4 1 0 0 62 14 4 1 1 1 48.8 15 4 0 0 1 45.5 16 4 0 1 0 44.2 17 5 1 1 0 52 18 5 0 0 0 51.5 19 5 1 0 1 49.8 20 5 0 1 1 48.8 21 6 1 0 1 57.2 22 6 1 1 0 59 23 6 0 1 1 53.2 24 6 0 0 0 56
(a) Perform a hypothesis test to asses whether or not the yield of peas was affected by the study Block the Pea plant was placed in. Interpret your results. (b) Perform a hypothesis test to assess if there were differences across the Phosphorous (P) and Nitrogen supplementation (N) variable, and if these two variables interact. (c) Perform pairwise-comparisons for the groups in part b). (d) Construct a plot to show how yield varies with fertilizer treatment (N,P) and any interaction effects. block N P K yield 1 1 0 1 1 49.5 2 1 1 1 0 62.8 3 1 0 0 0 46.8 4 1 1 0 1 57 5 2 1 0 0 59.8 6 2 1 1 1 58.5 7 2 0 0 1 55.5 8 2 0 1 0 56 9 3 0 1 0 62.8 10 3 1 1 1 55.8 11 3 1 0 0 69.5 12 3 0 0 1 55 13 4 1 0 0 62 14 4 1 1 1 48.8 15 4 0 0 1 45.5 16 4 0 1 0 44.2 17 5 1 1 0 52 18 5 0 0 0 51.5 19 5 1 0 1 49.8 20 5 0 1 1 48.8 21 6 1 0 1 57.2 22 6 1 1 0 59 23 6 0 1 1 53.2 24 6 0 0 0 56
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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(a) Perform a hypothesis test to asses whether or not the yield of peas was affected by the study Block the Pea plant was placed in. Interpret your results.
(b) Perform a hypothesis test to assess if there were differences across the Phosphorous (P) and Nitrogen supplementation (N) variable, and if these two variables interact.
(c) Perform pairwise-comparisons for the groups in part b).
(d) Construct a plot to show how yield varies with fertilizer treatment (N,P) and any interaction effects.
block | N | P | K | yield | |
1 | 1 | 0 | 1 | 1 | 49.5 |
2 | 1 | 1 | 1 | 0 | 62.8 |
3 | 1 | 0 | 0 | 0 | 46.8 |
4 | 1 | 1 | 0 | 1 | 57 |
5 | 2 | 1 | 0 | 0 | 59.8 |
6 | 2 | 1 | 1 | 1 | 58.5 |
7 | 2 | 0 | 0 | 1 | 55.5 |
8 | 2 | 0 | 1 | 0 | 56 |
9 | 3 | 0 | 1 | 0 | 62.8 |
10 | 3 | 1 | 1 | 1 | 55.8 |
11 | 3 | 1 | 0 | 0 | 69.5 |
12 | 3 | 0 | 0 | 1 | 55 |
13 | 4 | 1 | 0 | 0 | 62 |
14 | 4 | 1 | 1 | 1 | 48.8 |
15 | 4 | 0 | 0 | 1 | 45.5 |
16 | 4 | 0 | 1 | 0 | 44.2 |
17 | 5 | 1 | 1 | 0 | 52 |
18 | 5 | 0 | 0 | 0 | 51.5 |
19 | 5 | 1 | 0 | 1 | 49.8 |
20 | 5 | 0 | 1 | 1 | 48.8 |
21 | 6 | 1 | 0 | 1 | 57.2 |
22 | 6 | 1 | 1 | 0 | 59 |
23 | 6 | 0 | 1 | 1 | 53.2 |
24 | 6 | 0 | 0 | 0 | 56 |
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