You have randomly assigned n = 28 participants into 4 groups using a balanced factorial design (V: eachinto the two different levels of the first factor, say treatment vs. control; and ½ each into the twodifferent levels of the second factor, say meeting with doctor vs. meeting with nurse pracitioner). Youhave created dummy variables for each of these factors, and this designs result in the variable assignmentsas presented in the table belowFactor1Factor21111111111111111111111This exercise is to demonstrate that only balanced designs avoid issues of multicollinearity.First, calculate the correlation between the two dummy variables (for all of the data):Ti =Now, we will assume that one of the participants from the first group (the group encoded (0, 0)) droppedout of the study. Recalcluate the correlation between the remaining data:Repeat the same but assume 2 participants from the first group dropped, and recalculate the correlation:T3 =Repeat the same but assume 3 participants from the first group dropped, and recalculate the correlation:Repeat the same but assume all but 1 of the participants from the first group dropped, and recalculate thecorrelation:T5

The formula of correlation coefficient is r=∑i(xi-x¯)(yi-y¯)∑i(xi-x¯)2∑i(yi-y¯)2. The x¯ and y¯…

Answered: You have randomly assigned n = 28…

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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At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…

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