Interval estimate for the X-intercept of a straight line: A nonlinear approach

E. Schechtman, C. Spiegelman, N. Moran

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We show that a non-linear representation of a straight line model provides an opportunity for achieving reasonable interval estimates of the X-intercept when straight line model methods fail to allow such an interval. Further, we show that non-linear methods are reasonable competitors to the standard straight line method in Graybill (1976), even when the straight line method gives an estimate. The advantage of the non-linear approach is that the intervals may be directly obtained by using standard statistical packages such as SAS®. No extra programming is required.

Original languageEnglish
Pages (from-to)1093-1115
Number of pages23
JournalCommunications in Statistics Part B: Simulation and Computation
Volume27
Issue number4
DOIs
StatePublished - 1 Jan 1998

Keywords

  • Asymptotics simulation
  • Calibration
  • Inverse regression
  • Least squares

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation

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