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TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS

Year 2014, Volume: 43 Issue: 1, 141 - 152, 01.01.2014

Gokhan Ocakoglu İlker Ercan

Abstract

Nowadays, with the help of advanced imaging techniques the image orshape of an organ or organism can be used as input data. Therefore,the statistical analysis of shape has recently become more importantin the medical and biological sciences. Methods related to two-sampletests have been developed for statistical shape analysis, giving rise toconsiderable interest in research that evaluates the performance of thesetests. In this study, two sample procedures are used to compare themean shapes from the statistical shape analysis literature according totype I error rate.

Keywords

Statistical shape analysis two-sample tests type I error rate.

References

  • Ercan, I., Ocakoglu, G., Sigirli, D. and Ozkaya, G. Statistical shape analysis and usage in medical sciences, Turkiye Klinikleri J Biostat. 4(1), 27-35 (2012).
  • Amaral, G.J.A, Dryden, I. and Wood, A.T.A. Pivotal bootstrap methods for k-sample problems in directional statistics and shape analysis, Journal of the American Statistical Association. 102(478), 695-707 (2007).
  • Dryden, I.L. and Mardia, K.V. Statistical shape analysis (Vol. 4). Wiley, New York, 1998. Rohlf, F.J. Shape statistics. Procrustes superimpositions and tangent spaces, Journal of Classification. 16(2), 197-223, 1999.
  • Rohlf, F.J. On the use of shape spaces to compare morphometric methods, Hystrix-the Italian Journal of Mammalogy, 11(1), 12-13, 2000.
  • Brombin, C. and Salmaso, L. Multi-aspect permutation tests in shape analysis with small sample size, Computational Statistics & Data Analysis, 53(12), 3921-3931, 2009.
  • Bookstein, F. L. Morphometric tools for landmark data: Geometry and Biology. Cambridge Univ. Press, New York, 1991.
  • Claude, J. Morphometrics with R. Springer Verlag, 2008.
  • Zelditch, M., Swiderski, D.L., Sheets, H.D. and Fink, W.L. Geometric morphometrics for biologists. A primer. Academic Press, 2004.
  • Hammer, Ø. and Harper, D.A.T. Paleontological data analysis. Malden (Massachusetts), Blackwell Publishing Ltd Oxford, 2005.
  • Richtsmeier, J.T., Lele, S. and Cole, T. Landmark morphometrics and the analysis of variation, In. Hallgrimsson, B, Hall, BK(eds.)Variation. A Central Concept in Biology. Amsterdam. Elsevier, 2005.
  • Lele, S. and Richtsmeier, J.T. An invariant approach to statistical analysis of shapes, Florida. Chapman & Hall, 2001.
  • Goodall, C. Procrustes methods in the statistical analysis of shape, Journal of the Royal Statistical Society. Series B (Methodological), 53(2), 285-339, 1991.
  • Ercan, I., Etoz, A., Guney, I., Ocakoglu, G., Ozdemir, S.T., Kan, I. and Kahveci, R. Statistical shape analysis of nose in Turkish young adults, Journal of Craniofacial Surgery, 18(1), 219, 2007.
  • Dryden, I. L. Shapes package. R Foundation for Statistical Computing, Vienna, Austria, 20 Ercan, I., Ocakoglu, G., Guney, I. and Yazici, B. Adaptation of generalizability theory for inter-rater reliability for landmark localization, International Journal of Tomography & Statistics, 9(S08), 51-58, 2008.
  • Ercan, I., Ozdemir, S.T, Etoz, A., Sigirli, D., Tubbs, R.S., Loukas, M. and Guney, I. Facial asymmetry in young healthy subjects evaluated by statistical shape analysis, Journal of Anatomy, 213(6), 663-669, 2008.
  • Ozdemir, S.T., Ercan, I., Ozkaya, G., Cankur, N.S. and Erdal Y.S. Geometric Morphometric Study and Cluster Analysis of Late Byzantine and Modern Human Crania, Collegium Antropologicum, 34(2), 493-499, 2010.
  • De Greef, S., Claes, P., Vandermeulen, D., Mollemans, W., Suetens, P. and Willems, G. Large-scale in-vivo Caucasian facial soft tissue thickness database for craniofacial reconstruction, Forensic science international, 159, S126-S146, 2006.
  • Aldridge, K., Marsh, J.L., Govier, D. and Richtsmeier, J.T. Central nervous system phenotypes in craniosynostosis, Journal of Anatomy, 201(1), 31-39, 2002.
  • Jonke, E., Schaefer, K., Freudenthaler, J.W., Prossinger, H. and Bookstein, F.L. A cephalometric comparison of skulls from different time periods-the bronze age, the 19th century and the present, Collegium antropologicum, 27(2), 789-802, 2003.
  • Bookstein, F.L., Sampson, P.D., Streissguth, A.P. and Connor, P.D. Geometric morphometrics of corpus callosum and subcortical structures in the fetal-alcohol-affected brain, Teratology. 64(1).4-32, 2001.
  • Colak, C., Ercan, I., Dogan, M., Ozdemir, S.T., Sener, S. and Alkan, A. Detecting the shape differences of the corpus callosum in behcet’s disease by statistical shape analysis, Anatomical Record-Advances in Integrative Anatomy and Evolutionary Biology, 294(5), 870-874, 2011.
  • Ozdemir, S.T., Ercan, I., Sevinc, O., Guney, I., Ocakoglu, G., Aslan, E. and Barut, C. Statistical shape analysis of differences in the shape of the corpus callosum between genders The Anatomical Record, Advances in Integrative Anatomy and Evolutionary Biology, 290(7), 825-830, 2007.

TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS

Year 2014, Volume: 43 Issue: 1, 141 - 152, 01.01.2014

Gokhan Ocakoglu İlker Ercan

Abstract

-

Keywords

-

References

  • Ercan, I., Ocakoglu, G., Sigirli, D. and Ozkaya, G. Statistical shape analysis and usage in medical sciences, Turkiye Klinikleri J Biostat. 4(1), 27-35 (2012).
  • Amaral, G.J.A, Dryden, I. and Wood, A.T.A. Pivotal bootstrap methods for k-sample problems in directional statistics and shape analysis, Journal of the American Statistical Association. 102(478), 695-707 (2007).
  • Dryden, I.L. and Mardia, K.V. Statistical shape analysis (Vol. 4). Wiley, New York, 1998. Rohlf, F.J. Shape statistics. Procrustes superimpositions and tangent spaces, Journal of Classification. 16(2), 197-223, 1999.
  • Rohlf, F.J. On the use of shape spaces to compare morphometric methods, Hystrix-the Italian Journal of Mammalogy, 11(1), 12-13, 2000.
  • Brombin, C. and Salmaso, L. Multi-aspect permutation tests in shape analysis with small sample size, Computational Statistics & Data Analysis, 53(12), 3921-3931, 2009.
  • Bookstein, F. L. Morphometric tools for landmark data: Geometry and Biology. Cambridge Univ. Press, New York, 1991.
  • Claude, J. Morphometrics with R. Springer Verlag, 2008.
  • Zelditch, M., Swiderski, D.L., Sheets, H.D. and Fink, W.L. Geometric morphometrics for biologists. A primer. Academic Press, 2004.
  • Hammer, Ø. and Harper, D.A.T. Paleontological data analysis. Malden (Massachusetts), Blackwell Publishing Ltd Oxford, 2005.
  • Richtsmeier, J.T., Lele, S. and Cole, T. Landmark morphometrics and the analysis of variation, In. Hallgrimsson, B, Hall, BK(eds.)Variation. A Central Concept in Biology. Amsterdam. Elsevier, 2005.
  • Lele, S. and Richtsmeier, J.T. An invariant approach to statistical analysis of shapes, Florida. Chapman & Hall, 2001.
  • Goodall, C. Procrustes methods in the statistical analysis of shape, Journal of the Royal Statistical Society. Series B (Methodological), 53(2), 285-339, 1991.
  • Ercan, I., Etoz, A., Guney, I., Ocakoglu, G., Ozdemir, S.T., Kan, I. and Kahveci, R. Statistical shape analysis of nose in Turkish young adults, Journal of Craniofacial Surgery, 18(1), 219, 2007.
  • Dryden, I. L. Shapes package. R Foundation for Statistical Computing, Vienna, Austria, 20 Ercan, I., Ocakoglu, G., Guney, I. and Yazici, B. Adaptation of generalizability theory for inter-rater reliability for landmark localization, International Journal of Tomography & Statistics, 9(S08), 51-58, 2008.
  • Ercan, I., Ozdemir, S.T, Etoz, A., Sigirli, D., Tubbs, R.S., Loukas, M. and Guney, I. Facial asymmetry in young healthy subjects evaluated by statistical shape analysis, Journal of Anatomy, 213(6), 663-669, 2008.
  • Ozdemir, S.T., Ercan, I., Ozkaya, G., Cankur, N.S. and Erdal Y.S. Geometric Morphometric Study and Cluster Analysis of Late Byzantine and Modern Human Crania, Collegium Antropologicum, 34(2), 493-499, 2010.
  • De Greef, S., Claes, P., Vandermeulen, D., Mollemans, W., Suetens, P. and Willems, G. Large-scale in-vivo Caucasian facial soft tissue thickness database for craniofacial reconstruction, Forensic science international, 159, S126-S146, 2006.
  • Aldridge, K., Marsh, J.L., Govier, D. and Richtsmeier, J.T. Central nervous system phenotypes in craniosynostosis, Journal of Anatomy, 201(1), 31-39, 2002.
  • Jonke, E., Schaefer, K., Freudenthaler, J.W., Prossinger, H. and Bookstein, F.L. A cephalometric comparison of skulls from different time periods-the bronze age, the 19th century and the present, Collegium antropologicum, 27(2), 789-802, 2003.
  • Bookstein, F.L., Sampson, P.D., Streissguth, A.P. and Connor, P.D. Geometric morphometrics of corpus callosum and subcortical structures in the fetal-alcohol-affected brain, Teratology. 64(1).4-32, 2001.
  • Colak, C., Ercan, I., Dogan, M., Ozdemir, S.T., Sener, S. and Alkan, A. Detecting the shape differences of the corpus callosum in behcet’s disease by statistical shape analysis, Anatomical Record-Advances in Integrative Anatomy and Evolutionary Biology, 294(5), 870-874, 2011.
  • Ozdemir, S.T., Ercan, I., Sevinc, O., Guney, I., Ocakoglu, G., Aslan, E. and Barut, C. Statistical shape analysis of differences in the shape of the corpus callosum between genders The Anatomical Record, Advances in Integrative Anatomy and Evolutionary Biology, 290(7), 825-830, 2007.
There are 22 citations in total.

Details

Primary Language Turkish
Journal Section Statistics
Authors

Gokhan Ocakoglu This is me

İlker Ercan This is me

Publication Date January 1, 2014
Published in Issue Year 2014 Volume: 43 Issue: 1

Cite

APA Ocakoglu, G., & Ercan, İ. (2014). TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS. Hacettepe Journal of Mathematics and Statistics, 43(1), 141-152.
AMA Ocakoglu G, Ercan İ. TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS. Hacettepe Journal of Mathematics and Statistics. January 2014;43(1):141-152.
Chicago Ocakoglu, Gokhan, and İlker Ercan. “TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS”. Hacettepe Journal of Mathematics and Statistics 43, no. 1 (January 2014): 141-52.
EndNote Ocakoglu G, Ercan İ (January 1, 2014) TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS. Hacettepe Journal of Mathematics and Statistics 43 1 141–152.
IEEE G. Ocakoglu and İ. Ercan, “TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 1, pp. 141–152, 2014.
ISNAD Ocakoglu, Gokhan - Ercan, İlker. “TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS”. Hacettepe Journal of Mathematics and Statistics 43/1 (January 2014), 141-152.
JAMA Ocakoglu G, Ercan İ. TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS. Hacettepe Journal of Mathematics and Statistics. 2014;43:141–152.
MLA Ocakoglu, Gokhan and İlker Ercan. “TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 1, 2014, pp. 141-52.
Vancouver Ocakoglu G, Ercan İ. TYPE I ERROR RATE FOR TWO-SAMPLE TESTS IN STATISTICAL SHAPE ANALYSIS. Hacettepe Journal of Mathematics and Statistics. 2014;43(1):141-52.

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