Abstract
Summary: Sharp one-sided confidence bounds of the hyperbolic Scheféfc type are computed and tabulated for linear regression over intervals. Width of a one-sided interval is defined as distance from the estimated regression line to the end of the interval. Average width of the bounds derived is compared to that of sharp one-sided constant-width bounds of Gafarian and to the conservative Scheffe bounds. Numerical comparisons in cases of particular practical interest indicate the value of the bounds derived.
Original language | English (US) |
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Pages (from-to) | 99-107 |
Number of pages | 9 |
Journal | Biometrika |
Volume | 59 |
Issue number | 1 |
DOIs | |
State | Published - Apr 1972 |
Keywords
- Confidence bounds
- Linear regression
- Multiple comparisons
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Agricultural and Biological Sciences (miscellaneous)
- General Agricultural and Biological Sciences
- Statistics, Probability and Uncertainty
- Applied Mathematics