Propriétés caractéristiques de plans d'expérience en blocs à facteurs quantitatifs

D. Collombier; W. Tinsson

Revue de Statistique Appliquée (1997)

  • Volume: 45, Issue: 1, page 75-96
  • ISSN: 0035-175X

How to cite


Collombier, D., and Tinsson, W.. "Propriétés caractéristiques de plans d'expérience en blocs à facteurs quantitatifs." Revue de Statistique Appliquée 45.1 (1997): 75-96. <>.

author = {Collombier, D., Tinsson, W.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {1},
pages = {75-96},
publisher = {Société de Statistique de France},
title = {Propriétés caractéristiques de plans d'expérience en blocs à facteurs quantitatifs},
url = {},
volume = {45},
year = {1997},

AU - Collombier, D.
AU - Tinsson, W.
TI - Propriétés caractéristiques de plans d'expérience en blocs à facteurs quantitatifs
JO - Revue de Statistique Appliquée
PY - 1997
PB - Société de Statistique de France
VL - 45
IS - 1
SP - 75
EP - 96
LA - fre
UR -
ER -


  1. [ 1 ] Bose R.C. (1975), Combined Intra and Inter-Block Estimation of Treatment Effects in Incomplete Block Designs. A Survey of Statistical Design and Linear Models (Srivastava J.N. editor), North Holland, 31-51. Zbl0342.62053MR400565
  2. [2] Box G. et Draper N. (1987), Empirical Model-Building and Response Surfaces, John Wiley, New-York. Zbl0614.62104MR861118
  3. [3] Christensen R. (1987), Plane Answers to Complex Questions, Springer Texts in Statistics, Springer-Verlag. Zbl0645.62076MR897102
  4. [4] Henderson C.R., Kempthorne O., Searle S.R. et Krosigk C.M. (1959), The Estimation of Environmental and Genetic Trends from Records Subject to Culling, Biometrics, Vol. 15, 192-218. Zbl0128.40301
  5. [5] Khuri A. et Cornell J. (1987), Response Surfaces : Designs and Analyses, Marcel Dekker, New-York. Zbl0632.62069MR917485
  6. [6] Khuri A.I. (1992), Response Surface Models with Random Block Effects, Technometrics, Vol. 34, No. 1, 26-37. Zbl0850.62618MR1157791
  7. [7] Lehmann Scheffe H. (1950), Completness, Similar Regions and Unbiased Estimation — Part 1. Sankhya, 10(4), 305-340. Zbl0041.46301
  8. [8] Puntanen S. et Styan G.P.H. (1989), The Equality of the Ordinary Least Squares Estimator and the Best Linear Unbiased Estimator, The American Statistician, Vol. 43, No. 3, 153-161. MR1130909
  9. [9] Zmyślony R. (1980), A Characterization of Best Linear Unbiased Estimators in the General Linear Model, Mathematical Statistics and Probability Theory, Proceedings 1978 (Klonecki W., Kozek A., Rosiński J. eds), Springer Verlag (Lecture Notes in Statistics, Vol 2), 365-373. Zbl0441.62067MR577292
  10. [10] Zyskind G. (1967), On Canonical Forms, Nonnegative Covariance Matrices and Best and Simple Least Squares Estimators in Linear Models, Ann. Math. Statist., 38, 1092-1109. Zbl0171.17103MR214237

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.