6 - Non-parametric and parametric tests I

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Arizona State University *

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350

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Industrial Engineering

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Dec 6, 2023

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Name: Date: Please answer the following questions on your own. If you have any trouble or questions, email me at djoakes@asu.edu, and I will be happy to help. Total number of points:120 (For questions 1-5) Below are the number of adults of Mexican Gray wolf ( Canis lupus ) counted in 15 sites in Arizona during June and December of 2010 (Temporal analysis – you can sample the same individual). 1 Create a boxplot of the distribution of these data. (Hint = use the stack function) (10 points) 2. Test whether the data are normally distributed. (10 points) 3. To compare the abundance values, should you use a t-test or a Wilcox test? Why? (10 points) 4. Should you use a paired or an independent test? (10 points) 5. Do the abundance of wolves in sites of Arizona differ (significantly)? (20 points) (For questions 6-10) Global maps of conservation priority areas. Such maps can help donors with global missions to allocate resources and can help citizens advocate for actions in priority areas . Conservation priority values (CP) are widely used to identify priority areas for conservation worldwide. CP range from 0 to 1. A collection of CP-highest sites will represent species efficiently. Below are the conservation values for 15 areas in two ecoregions ( They do not share species). 6 Create a boxplot of the distribution of the CP data. (Hint = use the stack function) (10 points) Assignment 6 ABS 350: Applied statistics Abundance of wolves Sites November July 1 210 94 2 112 83 3 130 105 4 119 121 5 125 102 6 131 92 7 155 115 8 119 111 9 111 106 10 112 124 11 118 119 12 123 111 13 142 132 14 113 111 15 111 112
7. Test whether the data are normally distributed. (10 points) 8. If you want to compare the CP values, should you use a t-test or a Wilcox test? Why? (10 points) 9. Should you use a paired or an independent test? (10 points) 10. Do the CP values in ecoregions differ (significantly)? (20 points) Ecoregion A B 0.413715 0.529451 0.335113 0.231075 0.231558 0.189491 0.131109 0.456662 0.412558 0.566635 0.262421 0.647513 0.822085 0.707902 0.971448 0.879564 0.024686 0.964822 0.170021 1.000000 0.383692 0.558824 0.126749 0.663005 0.969921 0.714485 1.000000 0.846329 0.461962 0.149068
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