scholarly journals Least-squares wave-front reconstruction of Shack-Hartmann sensors and shearing interferometers using multigrid techniques

2005 ◽  
Vol 76 (5) ◽  
pp. 053502 ◽  
Author(s):  
K. L. Baker
Keyword(s):  
Least Squares ◽  
Wave Front

Evaluation of least-squares phase-diversity technique for space telescope wave-front sensing

1997 ◽  
Vol 36 (35) ◽  
pp. 9186 ◽  
Author(s):  
David J. Lee ◽  
Michael C. Roggemann ◽  
Byron M. Welsh ◽  
Erin R. Crosby
Keyword(s):  
Least Squares ◽  
Wave Front ◽  
Space Telescope ◽  
Phase Diversity ◽  
Diversity Technique

Heteroscedastic Methods for Performing All Pairwise Comparisons of Regression Lines Associated With J Independent Groups

Methodology ◽  
2015 ◽  
Vol 11 (3) ◽  
pp. 110-115 ◽  
Author(s):  
Rand R. Wilcox ◽  
Jinxia Ma
Keyword(s):  
Least Squares ◽  
Pairwise Comparisons ◽  
Simple Extension ◽  
Type I ◽  
Type I Errors ◽  
Well Elderly ◽  
Using Data

Abstract. The paper compares methods that allow both within group and between group heteroscedasticity when performing all pairwise comparisons of the least squares lines associated with J independent groups. The methods are based on simple extension of results derived by Johansen (1980) and Welch (1938) in conjunction with the HC3 and HC4 estimators. The probability of one or more Type I errors is controlled using the improvement on the Bonferroni method derived by Hochberg (1988) . Results are illustrated using data from the Well Elderly 2 study, which motivated this paper.

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