Comments on the shortcomings of predicting the precision of Cavalieri volume estimates based upon assumed measurement functions

Journal of Microscopy

Volumn 218, Issue 1, 2005, Pages 1-5

  Glaser, E ^a  

^a MicroBrightField Inc ^*  (United States)

Author keywords

Cavalieri method; Coefficient of error; Fourier analysis; Sampled covariogram; Spectral analysis; Transitive theory; Unbiased stereology

Indexed keywords

FORECASTING; SPECTRUM ANALYSIS;

CAVALIERI METHOD; COEFFICIENT OF ERROR; FOURIER'S ANALYSIS; MEASUREMENT FUNCTION; SAMPLED COVARIOGRAM; SERIAL SECTION; STEREOLOGY; TRANSITIVE THEORY; UNBIASED STEREOLOGY; VOLUME ESTIMATES;

FOURIER ANALYSIS;

ACCURACY; ANALYTICAL ERROR; ARTICLE; CALCULATION; CAVALIERI VOLUME ESTIMATE; COMPUTER PROGRAM; FOURIER ANALYSIS; INFORMATION PROCESSING; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MEASUREMENT; PREDICTION; PRIORITY JOURNAL; STEREOLOGY; THEORY;

EID: 17144412543     PISSN: 00222720     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-2818.2005.01465.x     Document Type: Article

References (12)

1. Ambardar, A. (1999) Analog and Digital Signal Processing. 2nd edn. Brooks/Cole. Pacific Grove. CA.
2. Cruz-Orive, L.M. (1989) On the precision of systematic sampling: a review of Matheron's transitive methods. J. Microsc. 153, 315-333.
3. García-Fiñana, M. & Cruz-Orive, L.M. (2000) New approximations for the variance in Cavalieri sampling. J. Microsc. 199, 224-238.
4. García-Fiñana, M., Cruz-Orive, L.M., Mackay, C.E., Pakkenberg, B. & Roberts, N. (2003) Comparison of MR imaging against physical sectioning to estimate the volume of human cerebral compartments. New approximations for the variance in Cavalieri sampling. Neuroimage. 18, 505-516.
5. Glaser, E.M. & Ruchkin, D.S. (1976) Principles of Neurobiological Signal Analysis. Academic Press, New York.
6. Gundersen, H.J.G. & Jensen, E.B. (1987) The efficiency of systematic sampling and its prediction. J. Microsc. 147, 229-263.
7. Gundersen, H.J.G., Jensen, E.B.V., Kiêu, K. & Nielsen, J. (1999) The efficiency of systematic sampling in stereology - reconsidered. J. Microsc. 193, 199-211.
8. Howard, C.V. & Reed, M.G. (1998). Unbiased Stereology. Bios. Oxford.
9. Kiêu, K. (1997) Three Lectures on Systematic Geometric Sampling, Memoirs 13/1997. Department of Theoretical Statistics, University of Aarhus.
10. Matheron, G. (1971) The Theory of Regionalized Variables and its Applications. Cahiers du Centre de Morphologie Mathématique de Fontainebleau, no. 5. Chapters 0 and 1.
11. Mattfeldt, T. (1989) The accuracy of one-dimensional systematic sampling. J. Microsc. 153, 301-313.
12. Roberts, N., Garden, A.S., Cruz-Orive, L.M., Whitehouse, G.H. & Edwards, R.H.T. (1994) Estimation of fetal volume by MRI and stereology. Br. J. Radiol. 67, 1067-1077.