Bayesian t-tests, computing M0 and M1
Dear Bayes factor experts,
Bayesian t-tests in JASP are done following Rouder et al. (2011). For my current purpose I need the separate values of the nominator and denominator of their equation 1:
B01 = (1 + t^2/v)^-(v+1)/2 / ∫ 0- ∞ (1 + Ng)^-1/2(1 + t^2/(1 + Ng)v)^-(v+1)/2 (2 π )^-1/2 g^-3/2 e ^-1/(2g) dg
So, separately the values of the bold and normal parts of their equation, in other words the values of the marginal likelihoods M0 and M1 (if I understood correctly) with only the t-statistic and N available.
Is there any way - either using JASP or e.g. R - to get these values?
Any help is highly appreciated.
ref: Rouder, J. N., Speckman, P. L., Sun, D., Morey, R. D., & Iverson, G. (2009). Bayesian t tests for accepting and rejecting the null hypothesis. Psychonomic bulletin & review, 16(2), 225-237.