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Journal of the American Statistical Association Volume 74, 1979 - Issue 368
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Theory and Method

Sharp Confidence Bands for Percentile Lines and Tolerance Bands for the Simple Linear Model

David L. Turner Utah State University, Logan, UT, 84322, USA
&
David C. Bowden Colorado State University, Fort Collins, CO, 80523, USA
Pages 885-888 | Received 01 Sep 1977, Published online: 05 Apr 2012

References

  • Bohrer , Robert and Francis , George K. 1972a . “Sharp One-Sided Confidence Bounds for Linear Regression Over Intervals” . Biometrika , 59 : 99 – 107 .
  • Bohrer , Robert and Francis , George K. 1972b . “Sharp One-Sided Confidence Bounds Over Positive Regions” . Annals of Mathematical Statistics , 43 : 1541 – 1548 .
  • Bowden , David C. and Graybill , Franklin A. 1966 . “Confidence Bands of Uniform and Proportional Width for Linear Models” . Journal of the American Statistical Association , 61 : 605 – 617 .
  • Gafarian , A. V. 1964 . “Confidence Bands in Straight Line Regressions” . Journal of the American Statistical Association , 59 : 182 – 213 .
  • Graybill , Franklin A. 1976 . Theory and Application of the Linear Model , North Scituate , Mass. : Duxbury Press .
  • Graybill , Franklin A. and Bowden , D. C. 1967 . “Linear Segment Confidence Bands for Simple Linear Models” . Journal of the American Statistical Association , 62 : 403 – 408 .
  • Halperin , Max and Gurian , Joan . 1968 . “Confidence Bands in Linear Regression With Constraints on the Independent Variables” . Journal of the American Statistical Association , 63 : 1020 – 1027 .
  • Lieberman , Gerald J. and Miller , Rupert G. 1963 . “Simultaneous Tolerance Intervals in Regression” . Biometrika , 50 : 155 – 168 .
  • Owen , D. B. 1968 . “A Survey of Properties and Applications of the Non-Central t-distribution” . Technometrics , 10 : 445 – 478 .
  • Scheffé , Henry . 1959 . The Analysis of Variance , New York : John Wiley & Sons .
  • Steinhorst , Richard Kirk . 1971 . “Percentile Discrimination in Regression and Tolerance Bands for Growth Curves With Results on the Singular Wishart” , doctoral dissertation Fort Collins : Dept. of Statistics, Colorado State University .
  • Steinhorst , Richard Kirk and Bowden , David C. 1971 . “Discrimination and Confidence Bands on Percentiles” . Journal of the American Statistical Association , 66 : 851 – 854 .
  • Turner , David L. 1975 . “Confidence Bands for Percentiles and Tolerance Bands in Regression” , doctoral dissertation Fort Collins : Dept. of Statistics, Colorado State University .
  • Turner , David L. and Bowden , David C. 1977 . “Simultaneous Confidence Bands for Percentile Lines in the General Linear Model” . Journal of the American Statistical Association , 72 : 886 – 889 .

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