706
Views
10
CrossRef citations to date
0
Altmetric
Teacher's Corner

The “Three Plus One” Likelihood-Based Test Statistics: Unified Geometrical and Graphical Interpretations

Pages 302-306 | Received 01 Oct 2013, Published online: 27 Aug 2014

REFERENCES

  • Agresti, A. (2007), An Introduction to Categorical Data Analysis (2nd ed.), New York: Wiley.
  • Azzalini, A. (2001), Inferenza Statistica: Una Presentazione Basata Sul Concetto Di Verosimiglianza, Milano: Springer.
  • Boos, D.D., and Stefanski, L.A. (2013), Essential Statistical Inference: Theory and Methods, New York: Springer.
  • Casella, G., and Berger, R.L. (2002), Statistical Inference, Belmont, CA: Duxbury.
  • Fears, T.R., Benichou, J., Gail, M.H. (1996), A Reminder of the Fallibility of the Wald Statistic, The American Statistician, 50, 226–227.
  • Firth, D. (1993), Bias Reduction of Maximum Likelihod Estimates, Biometrika, 80, 27–38.
  • Hauck, W.W., Donner, A. (1977), Wald’s Test as Applied to Hypotheses in Logit Analysis, Journal of the American Statistical Association, 72, 851–853.
  • Neyman, J., Pearson, E.S. (1928), On the Use and Interpretation of Certain Test Criteria for Purposes of Statistical Inference, Biometrika, 20A, 175–240.
  • Pawitan, Y. (2001), In All Likelihood: Statistical Modelling and Inference Using Likelihood, New York: Oxford University Press.
  • Rao, C.R. (1948), Large Sample Tests of Statistical Hypotheses Concerning Several Parameters With Applications to Problems of Estimation, Proceedings of the Cambridge Philosophical Society, 44, 50–57.
  • ——— (2005), “Score Test: Historical Review and Recent Developments,” in Advances in Ranking and Selection, Multiple Comparisons, and Reliability, eds. N. Balakrishnan, N. Kannan, and H.N. Nagaraja, Boston, MA: Birkhäuser.
  • Terrell, G. (2002), The Gradient Statistic, Computing Science and Statistics, 34, 206–215.
  • Wald, A. (1943), Tests of Statistical Hypothesis Concerning Several Parameters when the Number of Observations is Large, Transactions of the American Mathematical Society, 54, 426–482.
  • Wilks, S.S. (1938), The Large-Sample Distribution of the Likelihood Ratio for Testing Composite Hypothesis, Annals of Mathematical Statistics, 9, 60–62.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.