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MATLAB: An Introduction with Applications
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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Just do last thre parts

Ten patients suffering from arthritis take part in an experiment to evaluate the relative effectiveness of three pain-relieving drugs. The following table shows how they ranked the three drugs in order of effectiveness (1: least effective, 3: most effective). Patient A (a) BU с D E F G H X 1 1 1 1 1 1 2 1 2 1 This data is also saved in the a2e3.xlsx file. Drug Y 222 3 NW 2 373 1 1 3 Z 3 NW NW NW NW W w 3 3 2 3 2 3 2 3 2 What is the variable of interest? Is it qualitative or quantitative? If it is qualitative, is it ranked or unranked? If it is quantitative, is it discrete or continuous? What is its level of measurement? What is the experimental design? Explain your answers.
Transcribed Image Text:Ten patients suffering from arthritis take part in an experiment to evaluate the relative effectiveness of three pain-relieving drugs. The following table shows how they ranked the three drugs in order of effectiveness (1: least effective, 3: most effective). Patient A (a) BU с D E F G H X 1 1 1 1 1 1 2 1 2 1 This data is also saved in the a2e3.xlsx file. Drug Y 222 3 NW 2 373 1 1 3 Z 3 NW NW NW NW W w 3 3 2 3 2 3 2 3 2 What is the variable of interest? Is it qualitative or quantitative? If it is qualitative, is it ranked or unranked? If it is quantitative, is it discrete or continuous? What is its level of measurement? What is the experimental design? Explain your answers.
(b) Do these data provide sufficient evidence to indicate at the 1% significance level that the three drugs are not equally preferred? State the hypotheses, perform the appropriate test with R, report the observed test statistic, make a statistical decision, and draw the implied conclusion. (c) (d) Calculate the test statistic manually for the test you performed with R in part (b). Does your test statistic match the one reported by R? What are the requirements of the test you performed in parts (b) and (c)? Are they satisfied this time, or you have to assume that they are met? Provide as many supporting evidence as possible.
Transcribed Image Text:(b) Do these data provide sufficient evidence to indicate at the 1% significance level that the three drugs are not equally preferred? State the hypotheses, perform the appropriate test with R, report the observed test statistic, make a statistical decision, and draw the implied conclusion. (c) (d) Calculate the test statistic manually for the test you performed with R in part (b). Does your test statistic match the one reported by R? What are the requirements of the test you performed in parts (b) and (c)? Are they satisfied this time, or you have to assume that they are met? Provide as many supporting evidence as possible.
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