Skip to main content

An Evaluation of Bayesian Inequality Constrained Analysis of Variance

  • Chapter
Bayesian Evaluation of Informative Hypotheses

Abstract

In Chapters 2, 3, and 4 inequality constrained analysis of variance was introduced and illustrated. This chapter contains an evaluation of inequality constrained analysis of variance. Section 5.2 contains an evaluation from the perspective of psychologists on the use of inequality constrained analysis of variance. The questions raised will be discussed in Sections 5.3 and 5.4. Among other things, the interpretation of posterior model probabilities and the sensitivity of Bayesian model selection with respect to the choice of the prior distribution will be discussed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benjamini, Y., Hochberg, Y: Controlling the false discovery rate, a practical and powerful approach to multiple testing. Journal of the Royal Statistical Society, Series B, 57, 289–300 (1995)

    MATH  MathSciNet  Google Scholar 

  2. Berger, J.O., Delempady, M.: Testing precise hypotheses. Statistical Science, 2, 317–352 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  3. Berger, J.O., Sellke, T.: Testing a point null hypothesis, the irreconcilability of p-values and evidence. Journal of the American Statistical Association, 82. 112–122 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bierhals, A.J., Prigerson, H.G., Fasiczka, A., Frank, E., Miller, M., Reynolds III, C.: Gender differences in complicated grief among the elderly. Omega: Journal of Death and Dying, 32, 303–317 (1996)

    Google Scholar 

  5. Boelen, P.A., Bout, J. van den: Gender differences in traumatic grief symptom severity after the loss of a spouse. Omega: Journal of Death and Dying, 46, 183–198 (2003)

    Article  Google Scholar 

  6. Cohen, J.: Statistical Power Analysis for the Social Sciences. Mahway, NJ, Erlbaum (1988)

    Google Scholar 

  7. Cohen, J.: The earth is round (p < .05). American Psychologist, 49, 997–1003 (1994)

    Article  Google Scholar 

  8. Forbes, E.E., Dahl, R.E.: Neural systems of positive affect: Relevance to understanding child and adolescent depression? Development and Psychopathology, 17, 827–850 (2005)

    Article  Google Scholar 

  9. Freud, S.: Inhibitions, symptoms, anxiety (A. Strachey, Trans. and J. Strachey, eds.). New York, Norton (1959) (Original work published 1926)

    Google Scholar 

  10. Gleaves, D.H.: The sociocognitive model of dissociative identity disorder: A reexamination of the evidence. Psychological Bulletin, 120, 42–59 (1996)

    Article  Google Scholar 

  11. Gross, J.J., Munoz, R.F.: Emotion regulation and mental health. Clinical Psychology: Science and Practice, 2, 151–164 (1995)

    Article  Google Scholar 

  12. Hart, O. van der, Nijenhuis, E.: Generalized dissociative amnesia: Episodic, semantic, and procedural memories lost and found. Australian and New Zealand Journal of Psychiatry, 35, 589–600 (2001)

    Google Scholar 

  13. Holm, S.: A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics, 6, 65–70 (1979)

    MATH  MathSciNet  Google Scholar 

  14. Huntjens, R.J.C., Peters, M.L., Woertman, L., Bovenschen, L., Martin, R.C., Postma, A.: Inter-identity amnesia in dissociative identity disorder: A simulated memory impairment? Psychological Medicine, 36, 857–863 (2006)

    Article  Google Scholar 

  15. Kring, A.M., Bachorowski, J.: Emotions and psychopathology. Special Issue: Functional accounts of emotion. Cognition and Emotion, 13, 575–599 (1999)

    Google Scholar 

  16. Lilienfeld, S.O., Lynn, S.J., Kirsch, I., Chaves, J.F., Sarbin, T.R., Ganaway, G.K., Powell, R.A.: Dissociative identity disorder and the sociocognitive model: Recalling the lessons of the past. Psychological Bulletin, 125, 507–523 (1999)

    Article  Google Scholar 

  17. Rosnow, R.L., Rosenthal, R.: Statistical procedures and the justification of knowledge in psychological science. American Psychologist, 44, 1276–1284 (1989)

    Article  Google Scholar 

  18. Rottenberg, J., Gross, J.J.: When emotion goes wrong: Realizing the promise of affective science. Clinical Psychology: Science and Practice, 10, 227–232 (2003)

    Article  Google Scholar 

  19. Rottenberg. J., Kasch, K.L., Gross, J.J., Gotlib, I.H.: Sadness and amusement reactivity differentially predict concurrent and prospective functioning in major depressive disorder. Emotion, 2, 135–146 (2002)

    Article  Google Scholar 

  20. Sellke, T., Bayarri, M.J., Berger, J.O.: Calibration of p values for testing precise null hypotheses. The American Statistician, 55, 62–71 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  21. Silvapulle, M.J., Sen, P.K.: Constrained Statistical Inference. New York, Wiley (2004)

    Google Scholar 

  22. Wijngaards-de Meij, L., Stroebe, M., Schut, H., Stroebe, W., Bout, J. van den, Heijden, P. van der, Dijkstra, I.C.: Couples at risk following the death of their child: Predictors of grief versus depression. Journal of Consulting and Clinical Psychology, 73, 617–623 (2005)

    Article  Google Scholar 

  23. Wilkinson, L. and the Task Force on Statistical Inference: Statistical methods in psychology journals. American Psychologist, 54, 594–604 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Herbert Hoijtink .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Hoijtink, H., Huntjens, R., Reijntjes, A., Kuiper, R., Boelen, P.A. (2008). An Evaluation of Bayesian Inequality Constrained Analysis of Variance. In: Hoijtink, H., Klugkist, I., Boelen, P.A. (eds) Bayesian Evaluation of Informative Hypotheses. Statistics for Social and Behavioral Sciences. Springer, New York, NY. https://doi.org/10.1007/978-0-387-09612-4_5

Download citation

Publish with us

Policies and ethics