Howdy, Stranger!

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

Supported by

Three-way interaction Bayesian RM ANOVA

Hi,

I don’t seem able to wrap my head around the model comparisons with three-way interactions in a RM ANOVA. I understand that for a two-way interaction, you divide the BF10 of the model with the main effects only by the BF10 of the model with both main effects plus the interaction term. However, I am not sure how to apply this to a three-way interaction. Specifically:

  1. What model do I compare the three-way-interaction model to? Is it the model with all interactions to the second last model with all main effects and three two-way interactions? Setting everything as nuisance except the three-way interaction does the same job, correct?

  2. In my case (see tables below), the best fitting model is one with two out of three possible three-way interactions. Do I always choose the best fitting model? Because if I compare it to a model with only one two-way interaction, the BF is ‘only’ 1.35 (379/280). Doesn’t this mean that the best fitting model is not really convincing compared to a less complex one? Where do I stop with the reduction process? In other words, how theoretically driven is the model selection process? And what balance do I strike between what the data tell me, parsimony, and theory?

  3. Following this, what would I conclude about the three-way interaction I’m interested in? That it does not add much to the model (150/146); but that the model with all effects but no three-way interaction fares worse than one with only two two-way interactions (146/380). However, this best-fitting model with two two-way interactions itself does not provide strong evidence for the inclusion of those two two-way interactions compared to a simpler model with only one two-way interaction (379/280). Therefore, there is no strong evidence that the three-way interaction matters, and only weak evidence to deviate from the simplest interaction model?

Thanks a lot for a response!
Niklas


Comments

  • Hi Niklas,

    Re. (1): Yes.
    Re. (2): Good points. No the best model is not convincing. And I am not sure that it is correct to assess the three-way interaction by comparing the most complex model to the model that lacks the three-way interaction (because that model is not particularly good). An alternative approach is to average across the models and consider an analysis of effects.
    Re. (3): Yes, correct. From the effects table you see that across all models, the BF is 2.356 for including the interaction.

    Cheers,
    E.J.

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