What assumptions should be satisfied in order to perform the analysis of variance for a randomized block design?
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What assumptions should be satisfied in order to perform the analysis of variance for a randomized block design?
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- what does MS stand for in analysis of variance?please explain thoroughly the Test of Homogeneity of Variances and Why Post Hoc Tukey HSD is the appropriate model. thanksWhat correctly represents the coefficient of determination in terms of the variance that is an output from the analysis of variance table?
- How did we use Cochran's Theorem to develop inference procedures for variances? What kind of data would these procedures be appropriate for?Briefly explain the effect of non-homogeneity of variance in one-way analysis of variance in both balanced and unbalanced experimental designs.What is the least squares regression line . and what are the least squares point estimates ?Why is it dangerous to extrapolate outside the experimental region?
- It is common practice to compute an analysis of variance table in conjunction with an estimated multiple regression. Carefully explain what can be learned from such a table.Last school year, the student body of a local university consisted of 35% freshmen, 25% sophomores, 24% juniors, and 16% seniors. A sample of 300 students taken from this year's student body was taken to determine if there had been a significant change in % of students for each classification for this year as compared to last year. This analysis is an example of a Regression O Goodness of Fit Analysis of Variance Test of IndependenceA pharmaceutical company conducted a study to test the effect of a new high blood medication. The company selected 15 subjects from a population. Each subject was randomly assigned to one of three treatment groups equally (i.e. each group consists of five subjects): Group 1 (10mg/day), Group2 (50mg/day) and Group 3 (100mg/day). After 30 days, doctors measured the blood pressure of each subject. Summary of Analysis of Variance table is shown in Table 3. (a) Calculate the value for (i)-(vii) from the above table. (b) Conduct a hypothesis test to test whether all treatment groups have the same mean using a 5% level of significance.
- A pharmaceutical company conducted a study to test the effect of a new high blood medication. The company selected 15 subjects from a population. Each subject was randomly assigned to one of three treatment groups equally (i.e. each group consists of five subjects): Group 1 (10mg/day), Group 2 (50mg/day) and Group 3 (100mg/day). After 30 days, doctors measured the blood pressure of each subject. Summary of Analysis of Variance table is shown in Table 3. Table 3 Sum of Degree of Freedom Mean Source F Square Squares (i) Treatments (iv) 320 3.98 (ii) (iii) (v) (vi) Error (vii) Total (a) Calculate the value for (i)-(vii) from the above table. (b) Conduct a hypothesis test to test whether all treatment groups have the same mean using a 5% level of significance.A research group wishes to conduct a randomized trial to compare a new medication to a medication they consider standard care. One hundred patients with hypertension are enrolled and randomized to one of the two comparison treatments. After taking the assigned medication for 6 weeks, their systolic blood pressure (SBP) is measured. Summary statistics are given here. Use the data to test if there is a significant difference in systolic blood pressures between medication groups assuming normality and equality of the variances. Run the appropriate test at a 5% level of significance. Treatment New Standard Number of Patients Mean SBP Standard Deviation 50 130 12 50 135 10What assumptions are required to perform an analysis of variance.
