software packages

Software packages BIEMS and bain: Bayes factors for testing equality (=) and order (<, >) constraints on means and regression coefficients (Mulder, Hoijtink, & De Leeuw, 2012; Gu, Hoitink, Mulder, & Rosseel, 2019). Examples:

  • Bayesian (multivariate) t test, e.g.,

H0: mu = 0 vs H1: mu < 0 vs H2: mu>0.

  • Linear regression, e.g.,

H0: beta1 > beta2 > beta3 > 0 vs H1: beta1 = beta2 = beta3 = 0 vs H2: neither H0 nor H1.

  • Repeated measurement means:

H1: mean1 > mean2 > mean3 > mean4 vs H2: complement of H0.

  • (M)AN(C)OVA:

H1: mean1 > mean2 > mean3 > mean4 vs H0: mean1 = mean2 = mean3 = mean4.

Software packages BOCOR and BCT: Bayes factors for testing equality and order constraints on bivariate, partial, polychoric correlations (Mulder, 2016; Mulder & Gelissen, 2019), such as

  • Exploratory testing of correlations:

H0: corr(2,1)=0 vs H1: corr(2,1)<0 vs H2: corr(2,1)>0.

  • Equality/order constrained testing of correlations:

H1: corr(2,1)=corr(3,1)=corr(4,1) vs H2: corr(2,1)>corr(3,1)>corr(4,1) vs H3: complement

 

Feel free to email at j[dot]mulder[dot]3[at]tilburguniversity[dot]edu. I am always interested in extending these methods to new and challenging testing problems involving equality or order constraints.

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