TarandeepKang
commented
8 months ago Hi Team,
I agree that these would be useful, Bartlett's test is already implemented in EFA in the factor analysis module so hopefully, that should be a very straightforward implementation? It is available in the stats package: https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/bartlett.test
The original citation is Bartlett, M. S. (1937). Properties of sufficiency and statistical tests. Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 160(901), 268–282. https://doi.org/10.1098/rspa.1937.0109
As for the O'Brien test. You can find it here https://www.rdocumentation.org/packages/lawstat/versions/3.2/topics/levene.test implemented as one of several possible corrections to the Levene test.
Description
1) O' Brien's test to check homogenitiy of variance for smaller sample size (also robust against violation of normality) and F test for variance as well as Bartlett's for checking homogeinity of variance (specifically for noramally distributed data))
Purpose
To get better outputs from homogeneity of variance
Use-case
No response
Is your feature request related to a problem?
Absence of aforementioned tests
Is your feature request related to a JASP module?
ANOVA, T-Tests
Describe the solution you would like
Addition of the tests
Describe alternatives that you have considered
No response
Additional context
The references I followed are given below
1) An introduction to Statistical Concepts by Debbie L. Hahs-Vaughn and Richard G. Lomax
2) Statistical tests for homogeneity of variance for clinical trials and recommendations (doi.org/10.1016/j.conctc.2023.101119)
3) Erjavec, N. (2011). Tests for Homogeneity of Variance. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_590
4) Ralph G. O’Brien (1979) A General ANOVA Method for Robust Tests of Additive Models for Variances, Journal of the American Statistical Association, 74:368, 877-880, DOI: 10.1080/01621459.1979.10481047, the original paper by O’Brien
5) Ramsey, P. H. (1994). Testing variances in psychological and educational research. Journal of Educational Statistics, 19, 23-42. doi:10.3102/10769986019001023
6) Wang Y, Rodríguez de Gil P, Chen YH, Kromrey JD, Kim ES, Pham T, Nguyen D, Romano JL. Comparing the Performance of Approaches for Testing the Homogeneity of Variance Assumption in One-Factor ANOVA Models. Educ Psychol Meas. 2017 Apr;77(2):305-329. doi: 10.1177/0013164416645162. Epub 2016 Apr 27. PMID: 29795915; PMCID: PMC5965542.