Setup: A research laboratory was developing a new compound for the relief of severe casesof hay fever. In an experiment with 36 volunteers, the amounts of the two active ingredients(Factors A and B) in the compound were varied at four levels for A, and three levels for B.Randomization was used in assigning four volunteers to each of the twelve treatments. The dataon hours of relief follow (dataset in the file "relief.csv" where the columns represent Hours ofRelief; Factor A Level; Factor B Level; Subject).Factor B (Ingredient 2)j = 1j = 2Medium HighFactor Aj = 3(Ingredient 1)i = 1 PlaceboLow1.43.13.70.83.33.60.92.93.61.13.03.9i = 2 Low2.44.64.82.74.24.52.34.94.42.54.74.6i = 3 Medium5.88.99.15.29.19.35.58.78.75.39.09.4i = 4 High6.19.913.55.710.5135.910.613.36.210.113.2For the following, assume a FIXED effects model is appropriate.Questions:1. Is this setup an observational study or an experiment? Write down the statistical modelwith interaction effects and necessary assumptions. Interpret the cell mean Hij.

Answered: Setup: A research laboratory was…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a 2009 study, a team of researchers recruited 38 men and divided them randomly into two groups - treatment or control. The also recruited 38 women and they randomly placed half the participants into the treatment group and the other half into the control group. One group was given 25 grams of chia seeds twice a day, and the other was given a placebo. The subjects volunteered to be a part of the study. After 12 weeks, the scientists found no significant difference between the groups in appetite or weight loss. Which of the following is true. (i) This is an observational study (ii) Blinding is used in this study because subjects in the control group recieved a placebo, so that htey were blinded to the treatment they recieved. (iii) We can safely generalize the conclusion (that chia seeds have no significant effect on appetite or weight loss) from the participants to the population at large because randomization is used when assigning participatns to groups.
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.
You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 5% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 6.9 4.7 3.5 7.7 5.9 3.8 1.4 3.8 5.2 2 4.9 2.6 2.7 5.6 3.4 1.3…
The spreadsheet records the accuracy of 100 students spread out across 10 groups (or courses). ACCURACY is a measure of how well a student accurately inputs data into SAS; higher values indicate superior accuracy while lower values indicate inferior accuracy. GROUP is simply the course number assigned to the student—it is also known as a factor level. Various statistical tests assume the ten levels may have differing means of accuracy; however, they also assume that all levels have the same variance. But, how the heck do we know that? This means we must check to see whether all levels have the same variance. Do all ten groups exhibit equal variances? How do you know? Are any of the groups different than the others? How do you know? Perform Levene’s test and write it up. Accuracy Group1.0060 10.9960 10.9980 11.0000 10.9920 10.9930 11.0020 10.9990 10.9940 11.0000 10.9980 21.0060 21.0000 21.0020 20.9970 20.9980 20.9960 21.0000…
Several epidemiologists conducted a cohort study of the effect of mercury exposure on the development of brain cancer. Subjects were followed for ten years. There were a total of 150,000 people in the study. Among the subjects, 76,000 were exposed to mercury and the rest were not. 52,000 of those exposed to mercury developed brain cancer, and only 1,200 of those unexposed to mercury developed brain cancer. Please create a two-by-two table. Calculate the relative risk and interpret it in a sentence. Calculate the attributable risk and interpret. Calculate the percent attributable risk and interpret. Assume that 30% of people in Rhode Island are exposed to mercury, calculate and interpret the population attributable risk and calculate and interpret the percent population attributable risk.
Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ (DIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpectomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached?
A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance-free consumers will buy when they buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 74 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower? What is the…
A 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
You are interested in testing if there is a difference in weight-loss between 3 popular diet types; low calorie, low fat and low carb. Participants are randomly assigned one of the three groups or a control group. The control group will be told that are participating in a weight-loss study, but will not be following any particular diet. This is to study the placebo effect, weight-loss from just participating in the study. At the start of the study, each participant's weight is recorded in pounds. After 8 weeks they are weighed again, and the weight difference is recorded. A positive value represents a weight loss while a negative value represents a weight gain. Test at 10% significance. Round answers to 3 decimal places. Diet Type Low Calorie Low Calorie Low Calorie Low Calorie Low Calorie Low Fat Low Fat Low Fat Low Fat Low Fat Low Carb Low Carb Low Carb Low Carb Low Carb Control Control Control Control Control Pounds Lost 5.3 6.6 10.5 6.4 8.9 5 4 0.2 2.9 2.6 4.6 2.9 0.8 2.4 2.5 1.9…
Ministry of Environment and Water conducted a research regarding changes of the sea surface temperature that can affect some species of animal, plants, and microbes in Malaysia. Three islands from 42 Islands that gazed as Marine Park in Malaysia are randomly selected as the sample for this study, which are Kapas Island, Kuraman Island and Rusukan Island. For each island, the temperature (in °C) was measured for 50 days. The Microsoft Excel output of descriptive statistics for the data are summarized in Table 1. CONF AL M3 (Apheaut) Test SPM to Table 1 toveko Kapas Island Kuraman Island Мean Rusukan Island 25.9338 Mean 24.2892 Mean 25.1300 Standard Error 0.8597 Median 0.7835 Standard Error 0.8737 25.6100 Median Mode 23.2000 hedian 26.4800 #N/A Mode Standard #N/A Mode #N/A Standard Deviation 6.0790 Deviation 5.5404 Deviation Sample Variance 36.9548 Sample Variance 6.1780 30.6959 Sample Variance Kurtosis -1.3121 Kurtosis 38.1679 Skewness -0.8547 Kurtosis -0.1360 Skewness -1.1987 Range…
I need help with this table.
A 2017 random study of 10,478 Bangladesh children tracked the washing habits of the children's mothers via random survey to understand the relationship of these habits with childhood wasting. The data provided include responses from mothers to two items in this survey. The first variable represents a household's access to food: food secure, mildly food insecure, moderately food insecure, or severely food insecure. The second variable represents the mothers' responses when asked whether they use soap when washing clothes. These researchers wish to study if there is a relationship between washing habits and food security. Are the conditions for a chi-square test of independence met? Did not use Used soap soap Food secure 921 Mildly food insecure 5591 81 200 Moderately 89 food insecure 203 Severely 825 Food insecure 2568 Not enough information No Yes

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