Skip to main content
Log in

Score and Wald tests for the multivariate growth curve model with missing data

  • Tests
  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Abstract

We present the score and Wald test analogues to Srivastava's (1985, Comm. Statist. A—Theory Methods, 14, 775–792) likelihood ratio tests for the multivariate growth curve model with missing data, and illustrate their use with data from an immunotherapy experiment (Fukushima et al. (1982, Int. J. Cancer, 29, 107–112, 113–117)).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Cox, D. R. and Hinkley, D. V. (1974). Theoretical Statistics, Chapman and Hall, London.

    Book  Google Scholar 

  • Dwyer, P. S. (1967). Some applications of matrix derivatives in multivariate analysis, J. Amer. Statist. Assoc., 62, 607–625.

    Article  MathSciNet  Google Scholar 

  • Fukushima, M., Colmerauer, M. E. M., Nayak, S. K., Koziol, J. A. and Pilch, Y. H. (1982a). Immunotherapy of a murine colon cancer with syngeneic spleen cells, immune RNA and tumor antigen, Int. J. Cancer, 29, 107–112.

    Google Scholar 

  • Fukushima, M., Colmerauer, M. E. M., Nayak, S. K., Koziol, J. A. and Pilch, Y. H. (1982b). Antitumor effect of syngeneic spleen cells treated with immune RNA and tumor antigen, Int. J. Cancer, 29, 113–117.

    Google Scholar 

  • Khatri, C. G. (1966). A note on a MANOVA model applied to problems in growth curves, Ann. Inst. Statist. Math., 18, 75–86.

    Article  MathSciNet  Google Scholar 

  • Kleinbaum, D. G. (1973). A generalization of the growth curve model which allows missing data, J. Multivariate Anal., 3, 117–124.

    Article  MathSciNet  Google Scholar 

  • Koziol, J. A., Maxwell, D. S., Fukushima, M., Colmerauer, M. E. M. and Pilch, Y. H. (1981). A distribution-free test for tumor-growth curve analyses with application to an animal tumor immunotherapy experiment, Biometrics, 37, 383–390.

    Article  Google Scholar 

  • Leeper, J. D. and Woolson, R. F. (1982). Testing hypotheses for the growth curve model when the data are incomplete, J. Statist. Comput. Simulation, 15, 97–106.

    Article  Google Scholar 

  • Potthoff, R. F. and Roy, S. N. (1964). A generalized multivariate analysis of variance model useful especially for growth curve problems, Biometrika, 43, 122–127.

    MathSciNet  MATH  Google Scholar 

  • Rao, C. R. (1965). The theory of least squares when the parameters are stochastic and its application to growth curves, Biometrika, 52, 447–458.

    Article  MathSciNet  Google Scholar 

  • Rao, C. R. (1966). Covariance adjustment and related problems in multivariate analysis, Multivariate Analysis, (ed. P. R. Krishnaiah), 87–103, Academic Press, New York.

    Google Scholar 

  • Schwertman, N. C. (1974). The analysis and testing of hypotheses using growth curve data with missing observations, Unpublished PhD. thesis, University of Kentucky.

  • Srivastava, M. S. (1985). Multivariate data with missing observations, Comm. Statist. A—Theory Methods, 14, 775–792.

    Article  MathSciNet  Google Scholar 

  • Sundberg, R. (1974). Maximum likelihood theory for incomplete data from an exponential family, Scand. J. Statist., 1, 49–58.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Tsai, KT., Koziol, J.A. Score and Wald tests for the multivariate growth curve model with missing data. Ann Inst Stat Math 40, 179–186 (1988). https://doi.org/10.1007/BF00053964

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00053964

Key words and phrases

Navigation