Multi-aspect procedures for paired data with application to biometric morphing

Communications in Statistics: Simulation and Computation

Volumn 40, Issue 1, 2011, Pages 1-12

  Brombin, Chiara ^a   Salmaso, Luigi ^a   Ferronato, Giuseppe ^a   Galzignato, Pier Francesco ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Combination based permutation test; Finite sample consistency; Multi aspect procedure; Shape analysis.

Indexed keywords

CASE-CONTROL STUDY; FINITE-SAMPLE CONSISTENCY; MEAN VALUES; MORPHING; MULTI-ASPECT PROCEDURE; NON-PARAMETRIC PERMUTATION; NULL HYPOTHESIS; PERMUTATION TESTS; SHAPE ANALYSIS.; SIMULATION STUDIES; FINITE SAMPLES; MULTI ASPECTS; SHAPE ANALYSIS;

BIOMETRICS; SAMPLING;

TESTING;

EID: 78649514951     PISSN: 03610918     EISSN: 15324141     Source Type: Journal    
DOI: 10.1080/03610918.2010.526738     Document Type: Article

References (24)

1. 2 test in prescribed circumstances. Multivariate Behavioral Research 29:141-163.
2. Bookstein, F. L. (1986). Size and shape spaces for landmark data in two dimensions. Statistical Science 1:181-242.
3. Bookstein, F. L. (1997). Shape and the information in medical images: A decade of the morphometric synthesis. Computer Vision and Image Understanding 66:9-118.
4. Brombin, C. (2009). A Nonparametric Permutation Approach to Statistical Shape Analysis. Ph. D. thesis. Padova, Italy: University of Padova.
5. Brombin, C., Salmaso, L. (2009). Multi-aspect permutation tests in shape analysis with small sample size. Computational Statistics & Data Analysis 53:3921-3931.
6. Dryden, I. L., Mardia, K. V. (1998). Statistical Shape Analysis. London: John Wiley & Sons.
7. Farkas, L. G. (1994). Anthropometry of the Head and Face. 2nd ed. New York: Raven Press.
8. Fisher, R. A. (1947). The Design of Experiments. 4th ed. New York: Hafner Press.
9. Grambsch, P. M. (1994). Simple robust tests for scale differences in paired data. Biometrika 81:359-372.
10. Lehmann, E. L. (1993). The Fisher, Neyman-Pearson theories of testing hypotheses: One theory or two? Journal of the American Statistical Association 88:1242-1249.
11. McCulloch, C. (1987). Tests for equality of variances with paired data. Communications in Statistics-Theory and Methods 16:1377-1391.
12. Morgan, W. A. (1939). A test for the significance of the difference between the two variances in a sample from a normal bivariate distribution. Biometrika 31:13-19.
13. Pahuta, M. A., Rohlf, F. J., Antonyshyn, O. M. (2009). Biometric morphing: A novel technique for the analysis of morphologic outcomes after facial surgery. Annals of plastic syrgery 62:48-53.
14. Pesarin, F., Salmaso L. (2010). Permutation Tests for Complex Data: Theory, Applications and Software. Chichester-New York: Wiley.
15. Pitman, E. J. G. (1939). A note on normal correlation. Biometrika 31:9-12.
16. Rohlf, F. J. (2004). tpsSuper, Superimposition, Image Unwarping and Averaging, Version 1.14. Department of Ecology and Evolution, State University of New York at Stony Brook.
17. Rohlf, F. J. (2007). tpsDig2, Digitize Landmarks and Outlines, Version 2.12. Department of Ecology and Evolution, State University of New York at Stony Brook.
18. Rohlf, F. J. (2008). tpsRelw, Relative Warps Analysis, Version 1.46. Department of Ecology and Evolution, State University of New York at Stony Brook.
19. Rothstein, S. M., Bell, W. D., Patrick, J. A., Miller, H. (1981). A jackknife test of homogeneity of variance with paired replicates data. Psychometrika 46:35-40.
20. Salmaso, L., Solari, A. (2005). Multiple aspect testing for case-control designs. Metrika 12:1-10.
21. Slice, D. E., Bookstein, F. L., Marcus, L. F., Rohlf, F. J. (1996). A glossary for geometric morphometrics. Advances in Morphometrics 284:531-551.
22. Small, C. G. (1996). The Statistical Theory of Shape. New York: Springer.
23. Snedecor, G. W., Cochran, W. G. (1980). Statistical Methods. 7th ed. Ames, IA: Iowa State University Press.
24. Srivastava, A., Joshi, S., Mio, W., Liu, X. (2005). Statistical shape analysis: Clustering, learning and testing. IEEE Transactions on Pattern Analysis and Machine Intelligence 27:590-602.