The data in table is from a randomized block design represent bloodpressure measurements from an experiment involving 4 age groups,each with 3 persons. The 3 persons within each age group were randomlyassigned to drugs, A, B and C with one person per drug. This was done to keepthe drug assignments balanced within age groups. Comparing the three drugs inmanner that provides balance for or control for possible age effects. Considerthe data given in table below and compute;a. Mean Square Due to Treatments (MSTR)b. Mean Square Due to Blocks (MSBL)Mean Square Due to Error (MSE)C.d. F-testTreatmentsAge Groups (Blocks) AB17072276843828649092Total318 334CTotal Blocks802228224284 25288 270334 986

The question is about ANOVA.Given :

Answered: The data in table is from a randomized…

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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For a two-way ANOVA, suppose that Factor A has four levels and Factor B has three levels, and that there are five observations for each treatment combination. Given that SSA = 1200, SSB = 800, SSAB = 240, and SSE = 144, construct the two-way ANOVA table for the data.
The leader of two postpartum women’s support groups is interested in the depression levels of the women in her groups. She administers the Center for Epidemiologic Studies Depression Scale (CES-D) screening test to the members of her groups. The CES-D is a 20-question self-test that measures depressive feelings and behaviors during the previous week. The mean depression level from the screening test for the 10 women in the first group is μ₁ = 16; the mean depression level for the 14 women in the second group is μ₂ = 10. Without calculating the weighted mean for the combined group, you know that the weighted mean is:
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
The administrator of a school board in a large county was analyzing the average mathematics test scores in the schools under her control. She noticed that there were dramatic differences in scores among the schools. In an attempt to improve the scores of all the schools, she isolated factors that could account for the differences and were easily obtained from HR. Accordingly, she took a random sample of 40 schools across the county and for each determined: Test Score, Y: the mean test score last year at the school sampled Math Dgr, X1: the percentage of teachers in each school who have at least one university degree in math Age, X2: the mean age of the math teachers at the school sampled Income, X3: the mean annual income of the math teachers at the school sampled Conduct a simple linear regression analysis for each of the variables predicting mean test score and fill in the table below. Variable Equation…
An investigator is using a chi-square test to compare the proportion of patients with a successful recovery after receiving one of 4 treatments. There were 25 subjects in each group. What is the critical value for testing no association or treatment and response?
The data is presented in parallel format. Before running the ANOVA in Excel, you will need to put it into serial (column) format. You will need to create a categorical variable for the first factor (days) and for the second factor (time of day). This is a critical step. The data presented shows exam scores for students randomly assigned to the sections meeting on these days at these times of the day: Thursday Friday Morning Afternoon Morning Afternoon 59.1 60.6 50.2 34.7 50.6 60.5 39 44 57.1 59 71.2 43.7 58.6 45.7 57.5 52.9 51.1 72.6 50 53.3 40.1 39.8 58.1 34.6 27.3 59.3 38.9 53.2 27.3 72.9 58.2 52.9 39.5 45.9 57.9 46.8 56.6 40 71 46.7 Conduct a 2-way ANOVA. First, find the group means for each level of the factors. (Report answers accurate to 2 decimal places.) Days: MThursday MFriday Time of day: Mmorning Mafternoon Report the results of the ANOVA for the main & interaction effects. (Report P-values accurate to 4 decimal places and F-ratios accurate to 3 decimal places.) Day: FA = p…
Pn.n.m.
Among 1815 randomly selected high school students surveyed by the Centers for Diseases Control, 300 said they were current smokers. b. Estimate the variability in such sample proportion by finding SE (p).
Given the data: 1, 4, 3, 5, 4, Its Variance value is 2 3 4
The data is presented in parallel format. Before running the ANOVA in Excel, you will need to put it into serial (column) format. You will need to create a categorical variable for the first factor (days) and for the second factor (time of day). This is a critical step.The data presented shows exam scores for students randomly assigned to the sections meeting on these days at these times of the day: Thursday Friday Morning Afternoon Morning Afternoon 70.878.15978.246.646.476.559.376.370 65.678.359.359.778.680.892.780.865.392.3 90.890.569.177.36977.558.677.877.558.6 63.372.854.254.472.166.26372.56672.2 Conduct a 2-way ANOVA. First, find the group means for each level of the factors. (Report answers accurate to 2 decimal places.)Days: MThursday=MThursday= MFriday=MFriday= Time of day: Mmorning=Mmorning= Mafternoon=Mafternoon= Report the results of the ANOVA for the main & interaction effects. (Report P-values accurate to 4 decimal places and…
For which of the following would it be most appropriate to use an ANOVA to analyze the data? A researcher is interested in determining the most effective format for advertising. He randomly assigns 60 people to one of three groups: (1) television commercial, (2) radio commercial, or (3) magazine advertisement. Group members review the commercial and then report whether or not they would buy the product. In order to determine the effectiveness of different diet plans, 90 people are randomly assigned to one of three groups: (1) low calorie diet, (2) low-fat diet, or (3) low-carb diet. At the end of 60 days, the number of pounds lost was recorded for each of the participants. Both A and B. Neither A nor B.
Fish of Lake Laengelmaevesi. An article by J. Puranen of the Department of Statistics, University of Helsinki, discussed a classic study on several variables of seven different species of fish caught in Lake Laengelmaevesi, Finland. On theWeissStats site, we present the data on weight (in grams) and length (in centimeters) from the nose to the beginning of the tail for four of the seven species. Perform the required parts for both the weight and length data. a. Obtain individual normal probability plots and the standard deviations of the samples. b. Perform a residual analysis. c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so, also do parts (d) and (e). d. Use a one-way ANOVA test to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken. e. Interpret your results from part (d)

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