Define the following terms: a. experimental factor b. classification factor c. fixed effect factor d. random effect factor
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Define the following terms:
a. experimental factor
b. classification factor
c. fixed effect factor
d. random effect factor
a)
Experimental factor:
If the experimental units are randomly assigned to the factor levels, then the factor is called the experimental factor.
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- 3.24: The data in the accompanying table are from the Organization for Economic Co-operation and Development (data.oecd.org/eduatt/population-with-tertiary-education.htm, retrieved February 18, 2018). Entries in the table are the percentage of 25- to 34-year-old people who have completed a 4-year college degree for 27 countries in 2016. Country Percentage of people age 25 to 34 with 4-year degree Country Percentage of people age 25 to 34 with 4-year degree Australia 49.3 Italy 25.6 Austria 39.7 Japan 60.1 Canada 60.6 Mexico 21.8 Colombia 28.1 New Zealand 43.4 Costa Rica 28.9 Norway 48.6 Czech Republic 32.6 Poland 43.5 Denmark 45.9 Portugal 35.0 Finland 41.1 Spain 41.0 France 44.0 Sweden 47,.2 Germany 30.5 Switzerland 48.8 Greece 41.0 Turkey 30.5 Hungary 30.4 United Kingdom 52.0 Iceland 43.3 United States 47.5 Israel 47.4…6.34 Barking deer. Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined. In this region woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests make up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data.39 Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 (a) Write the hypotheses for testing if barking deer prefer to forage in cer- tain habitats over others. (b) What type of test can we use to answer this research question? (c) Check if the assumptions and conditions required for this test are sat- isfied. (d) Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypoth- esis test to answer this research question. Photo by Shrikant Rao (http://flic.kr/p/4Xjdkk) CC BY 2.0…An owner of an ice cream shop wants to investigate whether a new training program affects the scooping skills of ice cream shop employees. To assess this, the owner divides employees into two groups: those who receive training (CT) and those who do not (NT). The owner evaluates their scooping skills using a scooping proficiency test. The dataset includes the test scores of the NT (no training) group: 15.00, 7.00, 18.00, 10.00, 6.00, and 20.00, and the CT (trained) group: 15.00, 10.00, 14.00, 7.00, 21.00, and 21.00. The owner is aware of the known population mean for scooping proficiency, which is 20. The hypothesis is that employees who did not receive training (NT) will likely have lower scooping proficiency than the population mean. To investigate this hypothesis, the owner conducts a one-sample t-test with a significance level (alpha) set at 0.05. The objective is to determine if the mean scooping proficiency of the NT group is significantly different from the established population…
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- The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…The paper “State-Level Cancer Mortality Attributable to Cigarette Smoking in the United States’, (JAMA Internal Medicine [2016]: 1792-1798) included the following state estimates of the total number cancer deaths attributable to cigarette smoking in 2014. Number of State Number of People Number of State Number of People Alabama 3,183 Montana 581 Alaska 296 Nebraska 927 Arizona 3,246 Nevada 1,535 Arkansas 2,175 New Hampshire 723 California 14,689 New Jersey 4,388 Colorado 1,876 New Mexico 964 Connecticut 1,774 New York 9,296 Delaware 591 North Carolina 5,844 District of Columbia 310 North Dakota 341 Florida 12,596 Ohio 7,598 Georgia 4,816 Oklahoma 2,441 Hawaii 642 Oregon 2,143 Idaho 731 Pennsylvania 7,931 Illinois 7,114 Rhode Island 631 Indiana 4,099 South Carolina 2,962 Iowa 1,793 South Dakota 476 Kansas…Consider the partially completed ANOVA summary table below. Complete parts a through d below. Source df SS MS F Regression 1 400 Residual Total 9 1100 a. Complete the remaining entries in the table. Source df SS MS F Regression 1 400 nothing nothing Residual nothing nothing nothing Total 9 1100 b.How many ordered pairs are in this sample? c. Calculate the sample coefficient of determinatio d. Using α=0.05, what conclusions can be made about the population coefficient of determination? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: ρ2≤0 H1: ρ2>0 B. H0: ρ2>0 H1: ρ2=0 C. H0: ρ2<0 H1: ρ2≥0 D. H0: ρ2≥0 H1: ρ2<0
