Answer true or false to the questions below with a brief justification for your choice. 1. The smoothing parameter in a penalized regression spline controls how much weight we put on the roughness penalty. The roughness penalty will be smaller for curves that are more wiggly. 2. For an unpenalized regression spline fitted with ordinary least squares, increasing the number of knots will increase the roughness in the fitted curve, enabling it to be more wiggly. 3. The Scheffe method is typically the least conservative method (smallest critical value) for controlling the family-wise error rate of pairwise comparisons because it enables us to control infinitely many contrasts.
Answer true or false to the questions below with a brief justification for your choice. 1. The smoothing parameter in a penalized regression spline controls how much weight we put on the roughness penalty. The roughness penalty will be smaller for curves that are more wiggly. 2. For an unpenalized regression spline fitted with ordinary least squares, increasing the number of knots will increase the roughness in the fitted curve, enabling it to be more wiggly. 3. The Scheffe method is typically the least conservative method (smallest critical value) for controlling the family-wise error rate of pairwise comparisons because it enables us to control infinitely many contrasts.
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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Answer true or false to the questions below with a brief justification for your choice.
1. The smoothing parameter in a penalized regression spline controls how much weight we put on the roughness penalty. The roughness penalty will be smaller for curves that are more wiggly.
2. For an unpenalized regression spline fitted with ordinary least squares, increasing the number of knots will increase the roughness in the fitted curve, enabling it to be more wiggly.
3. The Scheffe method is typically the least conservative method (smallest critical value) for controlling the family-wise error rate of pairwise comparisons because it enables us to control infinitely many contrasts.
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