Describe briefly the concepts of Completely Randomized Design (CRD) as they apply to agricultural experiments.
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Describe briefly the concepts of Completely Randomized Design (CRD) as they apply to agricultural experiments.
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- The Admissions Office at a small university has developed a new 10-minute video about the university to send to prospective students. Before mass-producing the DVD, they would like to test whether it is more effective than the current video. Suppose that you have 12 high school student volunteers who have agreed to take part in an experiment. The explanatory variable to be studied is the type of video, with two levels OLD and NEW. Would you describe your study as a randomized comparative experiment, a matched pair experiment, or an observational study? Briefly explain.How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…
- Discuss the difference between a completely randomized design and a randomized block design.A Chicago-based firm has documents that must be quickly distributed to district offices throughout the U.S. The firm must de- cide between two delivery services, UPX (United Parcel Express) and INTEX (International Express), to transport its documents. In testing the delivery times of the two services, the firm sent two reports to a random sample of its district offices with one report carried by UPX and the other report carried by INTEX. Do the data on the next slide indicate a difference in mean delivery times for the two services? Use a .05 level of significance. [Hint: Perform a hypothesis test for difference for matched/paired samples, D = X1 − X2] (d) Find the critical values. (e) Rejection region and conclusion. (f) Interpret the results.If the power of an experiment is low then The experiment will likely be inconclusive. Any significant findings obtained are suspect. The results are skewed.
- A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…We often see players on the sidelines of a football game inhaling oxygen. Their coaches think this will speed their recovery. We might measure recovery from intense exertion as follows: Have a football player run 100 yards three times in quick succession. Then allow three minutes to rest before running 100 yards again. Time the final run. Two experiments to investigate the effect of inhaling oxygen during the rest period can be implemented. One of the experiments is to be a completely randomized design and the other is a matched pairs design in which each subject serves as his or her own control. Suppose you have twenty football players available as subjects. For both experiments, carry out the randomization of the twenty football players to treatments as required by the design. Use Table A to carry out the randomization in both a completely randomized comparative design and a matched pairs design. Starting at line 142, determine IDs for 10 football players from the first group.…A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .80.What effect size will her data need to achieve to make that possible?
- You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 50% at a level of significance of a = 0.10. According to your sample, 49 out of 92 potential voters prefer the Democratic candidate.Researchers notice that access to food may be related to later success in secondary education. Researchers formulate a hypothesis that says: teenagers are more likely to graduate high school in cities with more food banks per capita compared to cities that have fewer food banks per capita. They run a pilot study with n = 4 neighborhood blocks, sampled randomly across cities in the U.S. Here, x = number of food banks in the target city and y = number of high school graduates in a 4x4 block radius. The data are presented in the table below. What is the correlation between access to food banks (x) and high school graduation (y)? a) Calculate the sum of products b) Calculate Pearson’s rA biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples