Hiroshima Mathematical Journal

Wald-type tests for two hypotheses concerning parallel mean profiles of several groups

Takahisa Yokoyama

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Article information

Hiroshima Math. J., Volume 28, Number 2 (1998), 345-354.

First available in Project Euclid: 21 March 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62H10: Distribution of statistics
Secondary: 62H15: Hypothesis testing


Yokoyama, Takahisa. Wald-type tests for two hypotheses concerning parallel mean profiles of several groups. Hiroshima Math. J. 28 (1998), no. 2, 345--354. doi:10.32917/hmj/1206126766. https://projecteuclid.org/euclid.hmj/1206126766

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  • [1] R. F. Potthoff and S. N. Roy, A generalized multivariate analysis of variance model useful especially for growth curve problems, Biometrika, 51 (1964), 313-326.
  • [2] C. R. Rao, The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves, Biometrika, 52 (1965), 447-458.
  • [3] G. Reinsel, Multivariate repeated-measurement or growth curve models with multivariate random-effects covariance structure, J. Amer. Statist. Assoc., 77 (1982), 190-195.
  • [4] M. Siotani, T. Hayakawa and Y. Fujikoshi, Modern Multivariate Statistical Analysis, Columbus, Ohio: American Sciences Press, 1985.
  • [5] M. S. Srivastava, Profile analysis of several groups, Commun. Statist.-Theor. Meth., 16 (3), (1987), 909-926.
  • [6] M. S. Srivastava and E. M. Carter, An Introduction to Applied Multivariate Statistics, New York: North-Holland, 1983.
  • [7] A. P. Verbyla and W. N. Venables, An extension of the growth curve model, Biometrika, 75 (1988), 129-138.
  • [8] A. Wald, Tests of statistical hypotheses concerning several parameters when the number of observations is large, Trans. Am. Math. Soc., 54 (1943), 426-482.
  • [9] T. Yokoyama, LR test for random-effects covariance structure in a parallel profile model, Technical Report, 93-3, Statistical Research Group, Hiroshima University, 1993.
  • [10] T. Yokoyama, Extended growth curve models with random-effects covariance structures, Commun. Statist.-Theor. Meth., 25 (3), (1996), 571-584.
  • [11] T. Yokoyama, Asymptotic non-null distributions of the LR criteria in a parallel profile model with random effects, Hiroshima Math. J., 26 (1996), 223-231.