Correction for bias of models with lognormal distributed variables in absence of original data

Annals of Forest Research

Volumn 55, Issue 2, 2012, Pages 265-279

  Strimbu, B ^a  

^a LOUISIANA TECH UNIVERSITY   (United States)

Author keywords

Bios; Correction; Log transformation; Volum tables

Indexed keywords

EID: 84870222882     PISSN: 18448135     EISSN: 20652445     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. Adams W.S., Titus S.J., 2009. Mixwood growth model. Department of Renewable Resources University of Al berta, Edmonton AB.
2. Aitchison J., Brown J.A.C., 1957. The lognormal distribution. Cambridge University Press, Cambridge UK.
3. Assmann E., 1970. The principles of forest yield study. Pergamon Press, Oxford UK. 506 p.
4. Avery T.E., Burkhart H., 2001. Forest Measurements. Mcgraw-Hill Ryerson, New York. 1-480 p.
5. Baskerville G.L., 1972. Use of logarithmic regression in the estimation of plant biomass. Canadian Journal of 278 Forest Research 2(1): 49-53.
6. Beauchamp J.J., Olson J.S., 1973. Corrections for bias in regression estimates after logarithmic transformation. Ecology 54(6): 1403-1407.
7. Bennett F.A., McGee C.E., Clutter J.L., 1959. Yield of oldfield slash pine plantations. US Forest Service.
8. Bettinger P., Boston K., Siry J.P., Grebner D.L., 2009. Forest Management and Planning. Academic Press, Burlington MA, 360 p.
9. Bjorck A., 1996. Numerical Methods for Least Squares Problems. SIAM: Society for Industrial and Applied Mathematics, Philadelphia PA.
10. Carmean W.H., Hahn J.T., Jacobs R.D., 1989. Site index curves for forest tree species in the eastern United States. USDA Forest Service. NC-128. 153 p.
11. Cauchy A.-L., 1821. Cours d'analyse de l'Ecole Royale Polytechnique. Imprimerie Royale, Paris FR.
12. Clutter J.L., Forston J.C., Pienaar L.V., Brister G.H., Bailey R.L., 1983. Timber management: a quantitative approach. Krieger Publishing Company, Malabar, FL. 352 p.
13. Cochran W.G., 1977. Sampling techniques. John Wiley and Sons, Singapore. 428 p.
14. Crow E.L., Shimizu K., 1988. Hystory, genesis and properties. Crow, E.L., and K. Shimizu (eds.) in The Lognormal Distribution,. Marcel Dekker, New York NY. 26 p.
15. Darmois G., 1935. Sur les lois de probabilites a estimation exhaustive. Comptes Rendus de l'Académie des Sciences 200: 1265-1266.
16. Edleston J., 1850. Correspondence of Sir Isaac Newton and Professor Cotes. John Parker, London UK.
17. Feller W., 1968. An Introduction to probability theory and its applications, volume 1. John Wiley and Sons, New York. 528 p.
18. Finney D.J., 1941. On the distribution of a variate whose logarithm is normally distributed. Supplement to the Journal of the Royal Statistical Society 7(2): 155-161.
19. Gentleman R., Ihaka R., 2012. R. Comprehensive R Archive Network, Aukland NZ.
20. Giurgiu V., 1979. Dendrometrie şi auxologie forestierǎ. Ceres, Bucharest. 853 p.
21. Giurgiu V., Decei I., Armesescu S., 1972. Biometria arborilor şi arboretelor din România. Ceres, Bucharest RO.
22. Gould B., 2012. STATA. SataCorp, College Station TX. Grimmett G.D., Stirzaker D.R., 2002. Probability and random processes. Oxford University Press, New York. 600 p.
23. Hall H.S., Knight S.R., 2005. Higher Algebra: A Sequel to elementary algebra for schools. Adamant Media Corporation, New York NY. 581 p.
24. Husch B., Beers T.W., Kershaw J.A., 2002. Forest mensuration. Wiley. 456 p.
25. Kolmogorov A.N., Fomin S.V., 1999. Elements of the theory of functions and functional analysis. Dover Publications Inc, Mineola NY., 257 p
26. Koopman B.O., 1936. On distributions admitting a sufficient statistic. Transactions of the American Mathematical Society 39: 399-409. cations. John Wiley & Sons, Inc, New York. 625 p.
27. Legendre A.-M., 1805. Sur la methode des moindres quarres. P. 72-75 in Nouvelles methodes pour la determination des orbites des cometes. Firmin Didot, Paris.
28. Liew C.K., Choi U.J., Liew C.J., 1985. A data distortion by probability distribution. ACM Transactions on Database Systems 10(3): 395-411.
29. May R.M., 1977. Thresholds and breakpoints in ecosystems with a multiplicity of stable states. Nature 269(5628): 471-477.
30. McClave J.T., Dietrich F.H., 1991. Statistics. Dellen Publishing Company, New York. 928 p.
31. Miller D.M., 1984. Reducing transformation bias in curve fitting. The American Statistician 38(2): 124-126.
32. Montgomery D.C., Peck E.A., Vining G.P., 2006. Introduction to linear regression analysis. Wiley, New York NY.
33. Neter J., Kutner M.H., Nachtsheim C.J., Wasserman W. 1996. Applied linear statistical models. WCB McGraw Hill, Boston. 1408 p.
34. Nie N.H., Hull C.H., 2012. SPSS. IBM, Armonk NY
35. Nitschke C.R., Innes J.L., 2008. A tree and climate assessment tool for modelling ecosystem response to climate change. Ecological Modelling 210(3): 263-277.
36. Plackett R.L., 1950. Some Theorems in Least Squares. Biometrika 37(1/2): 149-157.
37. Poole D., 2005. Linear algebra. Thomson Brooks/Cole, Toronto. 712 p.
38. Pretzsch, H. 2009. Forest dynamics, growth and yield. Springer, Berlin. 664 p.
39. Rao C.R., 1973. Linear statistical inference and its appli
40. Rudin W., 1987. Real and complex analysis. McGraw-Hill.
41. SAS Institute, 2010. SAS. SAS Institute, Cary NC.
42. Schabenberger O., Pierce F.J., 2002. Contemporary Statistical Models for the Plant and Soil Sciences. CRC Press, Boca Raton FL.
43. Schumacher F.X., Hall F.D.S., 1933. Logarithmic Expression of Timber-Tree Volume. Journal of Agricultural Research 47(9): 719-734.
44. Sprugel D.G., 1983. Correcting for Bias in Log-Transformed Allometric Equations. Ecology 64(1): 209-210.
45. Spurr S.H., 1952. Forest inventory. The Ronald Press Company, New York. 476 p.
46. Steele J.M., 2004. The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities. Cambridge University Press, Cambridge UK. 304 p.
47. Tran Z.V., 1997. Estimating Sample Size in Repeated-Measures Analysis of Variance. Measurement in Physical Education and Exercise Science 1(1): 89-102.
48. Weiskittel A.R., Hann D.W., Kershaw J.A., Vanclay J.K., 2011. Forest Growth and Yield Modeling. Wiley-Blackwell, Chichester UK. 415 p.
49. Williams G.P., 1997. Chaos theory tamed. Joseph Henry Press, Washington, D.C. 499 p.
50. Zar J.H., 1996. Biostatistical analysis. PrenticeHall, Upper Saddle River NY. 662 p.
51. Zarnoch S.J., & Feduccia D.P., 1984. Slash pine plantation site index curves for the west gulf. Southern Journal of Applied Forestry 8(4): 223-225.