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Original Articles

Testing equality of generalized variances of k multivariate normal populations

Pages 6414-6423 | Received 07 Feb 2016, Accepted 17 Jun 2016, Published online: 13 Apr 2017

References

  • Bartlett, M. S. (1937). Properties of sufficiency and statistical tests. Proceedings of the Royal Society of London, Series A 160(901):268–282.
  • Bartlett, M. S. (1954). A note on the multiplying factors for various χ 2 approximations. Journal of the Royal Statistical Society, Series B 16:296–298.
  • Campbell, N., Mahon, R. (1974). A multivariate study of variation in two species of rock crab of the genus Leptograpsus. Australian Journal of Zoology 22(3):417–425.
  • Djauhari, M. A. (2005). Improved monitoring of multivariate process variability. Journal of Quality Technology 37(1):32–39.
  • Djauhari, M. A. (2007). A measure of multivariate data concentration. Journal of Applied Probability & Statistics 2(2):139–155.
  • Djauhari, M. A. (2009). Asymptotic distribution of sample covariance determinant. Matematika 25(1):79–85.
  • Djauhari, M. A., Mashuri, M., Herwindiati, D. E. (2008). Multivariate process variability monitoring. Communications in Statistics-Theory and Methods 37(11):1742–1754.
  • Ferrer, A. (2014). Latent structures-based multivariate statistical process control: A paradigm shift. Quality Engineering 26(1):72–91.
  • Greselin, F., Punzo, A. (2013). Closed likelihood ratio testing procedures to assess similarity of covariance matrices. The American Statistician 67(3):117–128.
  • Hamed, M. (2014). Generalized variance chart for multivariate quality control process procedure with application. Applied Mathematical Sciences 8(163):8137–8151.
  • Iliopoulos, G., Kourouklis, S. (1998). On improved interval estimation for the generalized variance. Journal of Statistical Planning and Inference 66(2):305–320.
  • Jafari, A., Kazemi, M. (2014). Inferences on the generalized variance under normality. Journal of Iranian Statistical Society 13(1):57–67.
  • Mardia, K. (1970). Measures of multivariate skewness and kurtosis with applications. Biometrika 57(3):519–530.
  • Muirhead, R. (2009). Aspects of Multivariate Statistical Theory. Vol. 197. New York: John Wiley & Sons.
  • Najarzadeh, D., Khazaei, M., Ganjali, M. (2016). Performance evaluation of likelihood-ratio tests for assessing similarity of the covariance matrices of two multivariate normal populations. Communications in Statistics - Theory and Methods 45(5):1435–1452.
  • Noor, A. M., Djauhari, M. A. (2014). Monitoring the variability of beltline moulding process using Wilks statistic. Malaysian Journal of Fundamental and Applied Sciences 6(2):116–120.
  • R Core Team., (2015). R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing.
  • Sarkar, S. (1991). Stein-type improvements of confidence intervals for the generalized variance. Annals of the Institute of Statistical Mathematics 43(2):369–375.
  • Sarkar, S. K. (1989). On improving the shortest length confidence interval for the generalized variance. Journal of Multivariate Analysis 31(1):136–147.
  • Schott, J. R. (1997). Matrix Analysis for Statistics. New York:John Wiley & Sons.
  • SenGupta, A. (1987). Tests for standardized generalized variances of multivariate normal populations of possibly different dimensions. Journal of Multivariate Analysis 23(2):209–219.
  • Wilks, S. S. (1932). Certain generalizations in the analysis of variance. Biometrika 24(3–4):471–494.
  • Yeh, A. B., Lin, D. K., McGrath, R. N. (2006). Multivariate control charts for monitoring covariance matrix: A review. Quality Technology and Quantitative Management 3(4):415–436.

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