NRMT 5530: Experimental Design in Forestry Research - Factorial Designs - Research Assignment Help

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Question 1. A researcher wishes to conduct an experiment to look at the effect of four different fertilizers on red pine seedling growth. The researcher is aware that the study site has two perpendicular environmental gradients. What experimental design would best account for this spatial heterogeneity? Build a table showing how the different treatments could be allocated according to this design. 
Question 2. Design an experiment that tests the effect of two contrived treatment factors on the growth of white spruce seedlings (such as fertilizer, soil medium, moisture levels, light intensity, site preparation, etc). These factors can be nested or crossed, and fixed or random. The experimental design should allow for adequate randomization and replication. Diagram this experimental design and label the different treatments and experimental units. 
Question 3. We covered factorial designs in class and also discussed two-way ANOVA’s and completely randomized designs. The dataset shown below is from an experiment that tests the effect of three types of fertilizer and two root-pruning methods on tree growth. There are twelve rows of trees, with four trees in each row. Fertilizer and a root-pruning treatment were randomly assigned to a row of trees so that each fertilizer and root treatment combination is replicated twice. The height of each tree was measured at the end of five weeks. 
Based on this factorial design, answer the following questions: (NRMT5530)
i) Are the factors fixed or random, nested or crossed?

ii) What are the experimental units and elements (elements are the objects from which measurements are taken)?

iii) Draw a diagram that illustrates the different factor levels and how they are linked (such as a hierarchical stick diagram). 
 

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