Statistics and ProbabilityBalanced incomplete blocksIncompleteness necessary if blocks are too small to allow us to run all treatmentlevels in a block.What does 'Balance' mean?What is the effects model? Model assumptions? Constraints?How to test the effect of the factor?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The outcome variable is degree of brand liking (measured essentially as some sort of percentage). Higher numbers mean it was “liked” more. There are two potential predictors. The first is moisture content which is controlled at levels of 4, 6, 8, and 10. The second is sweetness, the recorded values are 2 and 4. (Matrix plot is attached) Comment on what you expect the regression analysis to show with regard to the relationship of the two predictors with the response. Comment on the scatterplot that shows the predictors against each other. Note that each “point” on this graph in fact represents 2 data points. What does this imply about the “experimental design”? About “collinearity”? About the ways in which we will be able to discuss the effects of moisture and sweetness?

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Balanced incomplete blocks Incompleteness necessary if blocks are too small to allow us to run all treatment levels in a block. What does 'Balance' mean? What is the effects model? Model assumptions? Constraints? How to test the effect of the factor?