Far East Journal of Theoretical Statistics

The Far East Journal of Theoretical Statistics publishes original research papers and survey articles in the field of theoretical statistics, covering topics such as Bayesian analysis, multivariate analysis, and stochastic processes.

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SOME STUDIES ON MULTIVARIATE ANOVA AND PROFILE ANALYSIS

Authors

  • Joseph Justin Rebello
  • Shafna Noushad

Keywords:

MANOVA, profile analysis, hypothesis testing, likelihood ratio test, data analysis.

DOI:

https://doi.org/10.17654/0972086323012

Abstract

Multivariate analysis of variance and profile analysis are often used for comparison testing in a multivariate perspective. In this paper, we used a treatment data of a psychological study. Forty patients were randomly assigned to one of four therapies with exactly ten patients per therapy. Three standard instruments were used to assess outcome. These instruments are the Symptom Index for Kleptomania Evaluation (SIKE), the Social Functioning for Kleptomania Disorder Inventory (SFKDI), and the Occupational Adjustment Scale (OAS). The three measures were given at two time points, pre and post. Here we check the significant difference of these three measures under the two time points using two different methods repeated measure MANOVA and profile analysis. We also check whether the therapies are effective with respect to the given three instruments using repeated measure MANOVA and profile analysis.

Accepted: January 19, 2023
Published: March 20, 2023

References

T. W. Anderson, An Introduction to Multivariate Statistical Analysis, 3rd ed., New York, John Wiley & Sons, 2003.

Bryan F. Marly, Multivariate Statistical Methods, Chapman & Hall, 1986.

Cole and Grizzle, Applications of multivariate analysis of variance to repeated measurements experiments, Biometrics 22 (1966), 810-828.

A. J. Conger and R. Lipshitz, Measures of reliability for profiles and test batteries, Psychometrika 38(3) (1973), 411-427.

L. J. Cronbach, Coefficient alpha and the internal structure of tests, Psychometrika 16(3) (1951), 297-334.

L. J. Cronbach and G. C. Gleser, Assessing similarity between profiles, Psychological Bulletin 50(6) (1953), 456.

M. Davison and H. Kuang, Profile patterns: Research and professional interpretation, School Psychology Quarterly 15 (2000), 457-464.

M. Davison, H. Kuang and S. Kim, The structure of ability profile patterns: a multidimensional scaling perspective on the structure of intellect, P. Ackerman, P. Kyllonen and R. Roberts, eds., Learning and individual differences: Process, trait, and content determinants, American Psychological Association Washington, DC, 1999, pp. 187-207.

M. L. Davison, Multidimensional Scaling Models of Personality Responding, S. Strack and M. Lorr, eds., Differentiating Normal and Abnormal Personality, Springer Publishing Co., 1994.

C. G. Khatri, A note on a MANOVA model applied to problems in growth curve, Annals of the Institute of Statistical Mathematics 18 (1966), 75-86.

M. Mendes, E. Dinçer and E. Arslan, Profile analysis and growth curve for body mass index of broiler chickens reared under different feed restrictions in early age, Arch. Anim. Breed. 50 (2007), 403-411.

P. Tiwari and G. Shukla, Approach of linear mixed model in longitudinal data analysis using SAS, Journal of Reliability and Statistical Studies 1 (2011), 73-84.

Z. Wang, J. D. Nkrumah, C. Li, J. A. Basarab, L. A. Goonewardene, E. K. Okine and S. S. Moore, Test duration for growth, feed intake, and feed efficiency in beef cattle using the grow safe system, Journal of Animal Science 84(9) (2006), 2289 2298.

K. Bhuyan, Multivariate Analysis and its Application, New Central Book Agency (p) Ltd., 2008.

Richard A. Johnson and Dean W. Wichern, Applied Multivariate Statistical Analysis, 5th ed., Pearson Education Asia, 2002.

Published

2023-07-13

Issue

Section

Articles

How to Cite

SOME STUDIES ON MULTIVARIATE ANOVA AND PROFILE ANALYSIS. (2023). Far East Journal of Theoretical Statistics , 67(3), 217-231. https://doi.org/10.17654/0972086323012

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