Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

Supported by

JASP Bayesian ANCOVA Model Averaged R2

Hi,

I am struggling a little bit to get some information on the meaning of the "Model Averaged R2" output in a Bayesian ANCOVA (JASP 0.11.1).

The short context is that a reviewer *really really* wants to see R2 and 95% CIs from a frequentist ANCOVA to understand how much extra variance the variables in the winning model (in the bayesian approach) explain over the null or the model without those key variables the BF of the model over the null or the model with all the "other" variables was apparently not persuading despite them being very large in terms of weight of evidence..).

My first thought was to reverse-infer the R2 from the BF, but I guess I can only get a proportionality relation between the two (i.e., I can calculate BF from 2 R2, but cannot go the other direction -- right?). So next, I found the "Model Averaged R2" option, but I'm not sure I fully understand it. Is that the "non-frequentist" R2 (i.e., the R2 considering all the models, not just the point-estimate of the best model a la frequentist R2?)

I ask because unfortunately there is very little on the bayesian ANCOVA -- I spent quite some time on google but with no luck, and the Bayesian ANCOVA has no entry in the https://jasp-stats.org/how-to-use-jasp/

Thank you

Martin

Comments

  • edited May 2020

    After a few more hours of digging, I did find a post about "single model" statistics for ANOVA, which includes an R2, so I'm going to assume that that's probably the closest to what the reviewer is asking (here: https://forum.cogsci.nl/discussion/5982/95-credibility-intervals-for-bayesian-ancova )

    So my question now is how is this R2 calculated --is it something like Gelman et al "R-squared for Bayesian Regression Models"?

    https://www.tandfonline.com/doi/full/10.1080/00031305.2018.1549100

  • I'll send someone from the team your way...

    E.J.

  • Thank you EJ.

    For whomever can answer, I have one more question (again, for my friendly reviewer..)

    Is there a way to obtain in the Table of effects (or elsewhere) the model averaged posterior medians and CIs for effects in a Bayesian ANCOVA? I can get generate the BF, P(incl) and P(incl|data), but cannot seem to find a way of getting the individual posterior medians and CIs for the effects. Is there a way?

    Thank you for any feedback (and for the wonderful work -- in my lab we <3 JASP!)

    Martin

  • Hi Martin,

    is that the "non-frequentist" R2 (i.e., the R2 considering all the models, not just the point-estimate of the best model a la frequentist R2?)

    Yes. The Bayesian R-squared is derived from Gelman's unpublished manuscript. So R2 is based on the variance of estimated prediction errors. The prediction errors come from the model averaged posterior, so it's not a point estimate of the best model.


    Is there a way to obtain in the Table of effects (or elsewhere) the model averaged posterior medians and CIs for effects in a Bayesian ANCOVA?

    If you tick "Estimates" it should show the model averaged posterior mean and uncertainty for the effects.

    I'm not sure exactly when we implemented this, you may need to update to a newer version than 0.11.1 to obtain this functionality.

    Hope that help! If you have any more questions, let me know.

    Cheers,

    Don

  • Thank you Don, very helpful!

    Cheers

    Martin

Sign In or Register to comment.

agen judi bola , sportbook, casino, togel, number game, singapore, tangkas, basket, slot, poker, dominoqq, agen bola. Semua permainan bisa dimainkan hanya dengan 1 ID. minimal deposit 50.000 ,- bonus cashback hingga 10% , diskon togel hingga 66% bisa bermain di android dan IOS kapanpun dan dimana pun. poker , bandarq , aduq, domino qq , dominobet. Semua permainan bisa dimainkan hanya dengan 1 ID. minimal deposit 10.000 ,- bonus turnover 0.5% dan bonus referral 20%. Bonus - bonus yang dihadirkan bisa terbilang cukup tinggi dan memuaskan, anda hanya perlu memasang pada situs yang memberikan bursa pasaran terbaik yaitu http://45.77.173.118/ Bola168. Situs penyedia segala jenis permainan poker online kini semakin banyak ditemukan di Internet, salah satunya TahunQQ merupakan situs Agen Judi Domino66 Dan BandarQ Terpercaya yang mampu memberikan banyak provit bagi bettornya. Permainan Yang Di Sediakan Dewi365 Juga sangat banyak Dan menarik dan Peluang untuk memenangkan Taruhan Judi online ini juga sangat mudah . Mainkan Segera Taruhan Sportbook anda bersama Agen Judi Bola Bersama Dewi365 Kemenangan Anda Berapa pun akan Terbayarkan. Tersedia 9 macam permainan seru yang bisa kamu mainkan hanya di dalam 1 ID saja. Permainan seru yang tersedia seperti Poker, Domino QQ Dan juga BandarQ Online. Semuanya tersedia lengkap hanya di ABGQQ. Situs ABGQQ sangat mudah dimenangkan, kamu juga akan mendapatkan mega bonus dan setiap pemain berhak mendapatkan cashback mingguan. ABGQQ juga telah diakui sebagai Bandar Domino Online yang menjamin sistem FAIR PLAY disetiap permainan yang bisa dimainkan dengan deposit minimal hanya Rp.25.000. DEWI365 adalah Bandar Judi Bola Terpercaya & resmi dan terpercaya di indonesia. Situs judi bola ini menyediakan fasilitas bagi anda untuk dapat bermain memainkan permainan judi bola. Didalam situs ini memiliki berbagai permainan taruhan bola terlengkap seperti Sbobet, yang membuat DEWI365 menjadi situs judi bola terbaik dan terpercaya di Indonesia. Tentunya sebagai situs yang bertugas sebagai Bandar Poker Online pastinya akan berusaha untuk menjaga semua informasi dan keamanan yang terdapat di POKERQQ13. Kotakqq adalah situs Judi Poker Online Terpercayayang menyediakan 9 jenis permainan sakong online, dominoqq, domino99, bandarq, bandar ceme, aduq, poker online, bandar poker, balak66, perang baccarat, dan capsa susun. Dengan minimal deposit withdraw 15.000 Anda sudah bisa memainkan semua permaina pkv games di situs kami. Jackpot besar,Win rate tinggi, Fair play, PKV Games