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Environmental and Ecological Statistics

, Volume 23, Issue 1, pp 141–154 | Cite as

Conditioning post-stratified inference following two-stage, equal-probability sampling

  • Timothy G. Gregoire
  • Anna H. Ringvall
  • Göran Ståhl
  • Erik Næsset
Article

Abstract

This paper considers conditioning on the size of the samples observed in post-strata following a two-stage sampling design. We argue that it is reasonable to do so despite the complexity of the design. We derive an expression for the covariances among post-strata estimates resulting from secondary sampling units on the same primary sampling unit which reside in different post-strata. To motivate both issues we describe a two-stage LiDAR-assisted sample for aboveground biomass that was reported in Gregoire et al. (Can J For Res 41:83–95, 2011).

Keywords

Biomass Configuration Hedmark County LiDAR 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Timothy G. Gregoire
    • 1
  • Anna H. Ringvall
    • 2
  • Göran Ståhl
    • 2
  • Erik Næsset
    • 3
  1. 1.School of Forestry and Environmental StudiesYale UniversityNew HavenUSA
  2. 2.Department of Forest Resource ManagementSwedish University of Agricultural SciencesUmeåSweden
  3. 3.Department of Ecology and Natural Resource ManagementNorwegian University of Life SciencesÅsNorway

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