BIOL 4500 Problem Set 10

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College of Coastal Georgia *

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4500

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Biology

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Dec 6, 2023

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docx

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BIOL 4500 Problem Set # 10 Name_________________________ You are interested in the effect of two treatments, a slow-release fertilizer and a fast- release fertilizer, on seed yield of peanut plants compared to a control of a standard fertilizer. When setting up the experiment, you recognize that some of the peanut plants were not at the same level of development or health. Consequently, you record the height (cm) of the plant, a measure of plant development and health, at the start of the experiment. Using the data below, answer the following problems. Control Slow-release Fast-release Yield(g) Height(cm) Yield(g) Height(cm) Yield(g) Height(cm) 87 68.3 134 72.2 150 76.3 77 64.3 122 69.2 143 72.2 69 60.0 137 75.1 121 70.4 80 66.7 110 64.0 101 64.8 120 72.3 97 62.5 109 67.0 111 71.8 155 70.0 111 68.5 67 61.0 149 71.1 145 71.0 68 66.7 148 74.3 161 74.1 99 72.4 142 67.7 133 69.1 91 68.3 132 66.2 139 70.9 84 64.8 135 66.8 120 66.6 77 66.7 128 64.8 115 65.0 121 74.9 92 63.4 89 61.9 122 72.5 151 75.2 94 62.5 109 65.7 144 69.8 142 71.0 75 62.0 103 64.2 137 68.2 79 64.8 117 71.2 158 74.0 103 66.0 129 67.2 160 77.2 123 70.2 95 60.9 123 69.0 90 63.0 151 69.5 135 68.7 1. What statistical test did you choose to use? Why? (2 pts.) - I used a Multivariate test with the multiple points of data. 2. What evidence do you have that you meet the assumptions of your chosen test? (Provide lots of detail and output here!) (6 pts.) It is the only test I could get to work, to be honest. But from all the other tests that we have learned about this was the only one that seemed to fit given the number of trials we have. 3 sections but both with 2 sets of data. 3. Was the overall model significant? (2 pts.) Levene's Test of Equality of Error Variances a
Levene Statistic df1 df2 Sig. FastHeight Based on Mean .749 2 4 .529 Based on Median .038 2 4 .963 Based on Median and with adjusted df .038 2 2.000 .964 Based on trimmed mean .569 2 4 .606 SlowHeigh t Based on Mean 1.634 2 4 .303 Based on Median .066 2 4 .937 Based on Median and with adjusted df .066 2 2.000 .938 Based on trimmed mean 1.294 2 4 .369 Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a. Design: Intercept + ControlHeight Our data all seems to be significant. All above .05 4. Are there significant differences among treatments? If so, which ones are significantly different? (2 pts.) The means for each fast height seems to be lower compared to the rest being under .9. Same with the based on trimmed mean number both are relatively lower compared to the others. 5. Was there a significant effect of plant height? Was the effect size of plant height greater or less than the effect of treatment? (4 pts.) There is a significant effect of plant height. The effect on size isn’t the yield since they all are significantly the same. 6. Based on your answers above, what biological conclusions would you draw from the results of this experiment? (4 pts.) I would conclude that the heights are significant to this study, but the yield have nothing to do with the experiment. The fertilizer had nothing to do with the height, which could be due to their different health status at the start.
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