Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl


2015 | 219 | 5-16

Article title

Some remarks of type iii error for directional two-tailed test


Title variants

Uwagi o błędzie iii rodzaju dla kierunkowych testów o dwustronnym obszarze krytycznym

Languages of publication



The major objective of this study was to investigate the effects of non-normality on Type III error rates for ANOVA F and its commonly recommended para-metric counterparts namely Alexander-Govern test. The major objective of this study was to investigate the effects of non-normality on Type III error rates for ANOVA. Therefore these tests were compared in terms of Type III error rates across the variety of population distributions, mean difference (effect size), and sample sizes
Główny cel tej pracy to zbadanie konsekwencji braku normalności rozkładu dla błędu III rodzaju w teście ANOVA F oraz jego parametrycznym odpowiedniku, mianowicie w teście znanym jako Alexander Govern. Testy zostały porównane pod względem poziomu błędów III rodzaju przez wybór różnych rozkładów zmiennych losowych, o różnych średnich oraz wariancjach (wielkość efektu) oraz różnych (małych) wielkościach próby






Physical description



  • Alexander R.A., Govern D.M. (1994), A new and simpler approximation for ANOVA under variance heterogeneity, “Journal of Educational Statistics”, No. 19.
  • Fisher R.A. (1926), The arrangement of field experiments, “Journal of the Ministry of Agriculture of Great Britain”, No. 33.
  • Jones L.V., Tukey J.W. (2000), A sensible formulation of the significance test, “Psycho-logical Methods”, No. 5.
  • Kaiser H.F. (1960), Directional statistical decision, “Psychological Review”, No. 67. Knapp I.R. (1999), Letter to the Editor, “Nursing Research”, No. 48.
  • Leventhal L., Huynh C.L. (1996), Directional decisions for two-tailed tests: Power, error rates, and sample size, “Psychological Methods”, No. 1(3).
  • Leventhal L. (1999), Updating the debate on one- versus two-tailed test with the direc-tional two-tailed test, “Psychological Reports”, No. 84.
  • Leventhal L. (1999), Answering two criticisms of hypothesis testing, “Psychological Re-ports”, No. 85.
  • Meeks S.L., D’Agostino R.B. (1983), A note on the use of confidence limits following rejection of a null hypothesis, “The American Statistician”, No. 57(2).
  • Mendes M., (2002), The comparison of some parametric alternative test to one-way Analysis of Variance in terms of Type I error rates and power of test under non-normality and heterogeneity of variance, PhD. Thesis, Ankara University Graduates School of Natural and Applied Sciences Department of Animal Science (unpublished).
  • Mosteller F. (1948), A k-sample slippage test for an extreme population, “Annals of Mathematical Statistics”, No. 19.
  • Muller K.E., Lavange L.M. (1992), Power calculations for general linear multivariate models including repeated measures applications, “Journal of the American Statis-tical Association”, No. 87.
  • Neyman J., Pearson E. (1928), On the Use and Interpretation of Certain Test Criteria for Purposes of Statistical Inference: Part I, “Biometrika”, Vol. 20A, No. 1-2.
  • Sansgiry P., Akman O. (2000), Transformations of the lognormal distribution as a selec-tion model, “The American Statistician”, No. 54 (4).
  • Shaffer J.P. (1972), Directional statistical hypotheses and comparisons among means, “Psychological Bulletin”, No. 77.
  • Zumbo B.D., Hubley A.M. (1998), A note on misconceptions concerning prospective and retrospective power, “The Statistician”, No. 47, Part 2.

Document Type

Publication order reference



YADDA identifier

JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.