What is the purpose of blocking in a randomized block design?
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What is the purpose of blocking in a randomized block design?
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- 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…Describe briefly the concepts of Completely Randomized Design (CRD) as they apply to agricultural experiments.2. A survey was conducted among 100 high schoolers who were potential athletes to learn about their preferences on financial benefits. The sample consisted of equal number of male and female students and 3 of incentive types were offered- 20% tuition reduction for all 4 years, 50% tuition reduction in first year, but renewable based on freshman GPA, and full room and board for all 4 years. What is the treatment design? What is the randomization design? CRD RCBD CRD SPLIT PLOT RCBD SPLIT PLOT
- The structure of a two-factor study can be presented as a matrix, with one factor determining the rows and the second factor determining the columns. With this structure in mind, identify the three separate hypothesis tests that make up a two-factor ANOVA, and explain the purpose of each test. Describe the mean differences that are evaluated by each of the three hypothesis test.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…A fast-food company uses two management-training methods. Method 1 is a traditional method of training, and Method 2 is a new and innovative method. The company has just hired 31 new management trainees. 15 of the trainees are randomly selected and assigned to Method 1, and the remaining 16 trainees are assigned to Method 2. After three months of training, the management trainees take a standardized test. The test is designed to evaluate their performance and learning from the training. The sample mean score and sample standard deviation of the two methods are given below. Company management wants to determine whether the company should implement the new training method. What is the alternative hypothesis for this test? A) Ha: μ1 − μ2 = 0 B) Ha: μ1 = μ2 C) Ha: μ1 − μ2 < 0 D) Ha: μ1 − μ2 > 0
- A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Though the two brands have been comparable in the past, some technological advances were recently made in the Brand 1 manufacturing process, and the consumer group is testing to see if Brand1 will outperform Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same 10 cars, chosen at random. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the Español left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. Car 1 3 4 6. 8 69 10 Brand 1 0.23 0.29 0.28 0.23 0.17 0.26 0.17 0.29 0.30 0.21 Brand 2 0.22 0.27 0.27 0.29 0.31 0.24 0.27 0.33 0.22 0.25 Difference…Some researchers have conjectured that stem-pitting disease in peach tree seedlings might be controlled with weed and sol treatment. An experiment was conducted to compare peach tree seedling growth with sol and weeds treated with one of two herbicides. In a field containing 20 seedlings, 10 were randomly selected from throughout the field and assigned to receive Herbicide A The remaining 10 seedlings were to receive Herbicide B. Soil and weeds for each seedling were treated with the appropriate herbicide and at the end of the study period the height (in centimeters) was recorded for each seedling. A box plot of each data set showed no indication of non-Normality. The following results were obtained: x (cm) s (cm) Herbicide A 945 10 Herbicide B 109.1 A 95% confidence interval for ug - Ha is given by which of the following expressions? (Use the conservative value for degrees of freedom) (109 1-94 5) t1 96 (109 1-94 5) + 2 263 109 1- 94 5)2196, . (109 1- 945)2262, (109 1- 94 5)When a company , while doing research tries to look at 2 or more treatments simultaneously , the type of experimental design is a. Factorial design b. Randomised Block design c. Completely randomized block design d. Latin square design