Stats to the Point (E3) | What is Multilevel Modeling (sub FR/EN)

Описание: Conducting two-level regression using R, Stata, Mplus, or SPSS
Nicolas Sommet – SNSF Ambizione Lecturer - Université de Lausanne

𝗖𝗵𝗮𝗽𝘁𝗲𝗿𝘀
00:00 Introduction
00:39 How Two-Level Modeling Works
04:05 A Three-Step Procedure for Conducting Two-Level Analysis
05:23 Step #0 Centering Predictors
07:08 Step #1 Empty Model
09:07 Step #2 Intermediate Models
11:34 Step #3 Final Model
12:56 Conclusion

This video is based on the following article (if you've found this video useful, feel free to cite it!):
Sommet, N., & Morselli, D. (2021). Keep calm and learn multilevel linear modeling: A three-step procedure using SPSS, Stata, R, and MPlus. 𝘐𝘯𝘵 𝘙𝘦𝘷 𝘚𝘰𝘤 𝘗𝘴𝘺𝘤𝘩𝘰𝘭, 34(1). https://doi.org/10.5334/irsp.555

The data/scripts from the video are available at: https://doi.org/10.17605/OSF.IO/4YHBM
• CSV: https://osf.io/ch3sj
• R: https://osf.io/9hmjn/
• Stata: https://osf.io/k2mp7/
• Mplus: https://osf.io/64eu2/
• SPSS: https://osf.io/fycvx/

Satisfaction survey
→ https://unilaps.fra1.qualtrics.com/jf...

𝗔𝗥𝗧𝗜𝗖𝗟𝗘𝗦 𝗦𝗨𝗣𝗣𝗢𝗥𝗧𝗜𝗡𝗚 𝗧𝗛𝗘 𝗖𝗟𝗔𝗜𝗠𝗦 𝗠𝗔𝗗𝗘 𝗜𝗡 𝗧𝗛𝗘 𝗩𝗜𝗗𝗘𝗢

~ 3m27. If you choose to use traditional regression with hierarchical data, you will obtain biased standard errors.
👉 Scariano, S. M., & Davenport, J. M. (1987). The effects of violations of independence assumptions in the one-way ANOVA. 𝘈𝘮 𝘚𝘵𝘢𝘵, 41, 123–129. DOI: https://doi.org/10.1080/00031305.1987...

~ 5m47. The distinction between grand-mean centering and cluster-mean centering.
👉 Enders, C. K., & Tofighi, D. (2007). Centering predictor variables in cross-sectional multilevel models: A new look at an old issue. 𝘗𝘴𝘺𝘤𝘩𝘰𝘭 𝘔𝘦𝘵𝘩𝘰𝘥𝘴, 12, 121–128. https://doi.org/10.1037/1082-989x.12....

~ 8m51. A design effect greater than 1.5 suggests that multilevel modeling is needed.
👉 Lai, M. H., & Kwok, O. M. (2015). Examining the rule of thumb of not using multilevel modeling: The “design effect smaller than two” rule. 𝘑 𝘌𝘹𝘱 𝘌𝘥𝘶𝘤, 83, 423–438. https://doi.org/10.1080/00220973.2014...

~ 9m56. To estimate the between-cluster variation of an effect, one needs to compare a constrained model and an augmented model without and with the random slope, respectively.
👉 Aguinis, H., Gottfredson, R. K., & Culpepper, S. A. (2013). Best-practice recommendations for estimating cross-level interaction effects using multilevel modeling. 𝘑 𝘔𝘢𝘯𝘢𝘨𝘦, 39, 1490–1528. https://doi.org/10.1177/0149206313478188

~ 10m36. In a random slope model, the covariance parameter cannot be presumed to be zero and must be included in the model.
👉 Wang, L., Yang, M., & Liu, X. (2019). The impact of over-simplifying the between-subject covariance structure on inferences of fixed effects in modeling nested data. 𝘚𝘵𝘳𝘶𝘤𝘵 𝘌𝘲𝘶 𝘔𝘰𝘥𝘦𝘭𝘪𝘯𝘨, 26, 1–11. https://doi.org/10.1080/10705511.2018...

~11m07 If the LR χ² is significant at α = 0.20, the random slope variance and covariance terms need to be kept.
👉 Matuschek, H., Kliegl, R., Vasishth, S., Baayen, H., & Bates, D. (2017). Balancing Type I error and power in linear mixed models. 𝘑 𝘔𝘦𝘮 𝘓𝘢𝘯𝘨, 94, 305–315. https://doi.org/10.1016/j.jml.2017.01...

~11m07 It is also important to note that it is advisable to always include the random slope when testing a cross-level interaction.
👉 Heisig, J. P., & Schaeffer, M. (2019). Why you should always include a random slope for the lower-level variable involved in a cross-level interaction. 𝘌𝘶𝘳 𝘚𝘰𝘤𝘪𝘰𝘭 𝘙𝘦𝘷, 35, 258–279. https://doi.org/10.1093/esr/jcy053

~12m40. A mock paper offering a good example of how to report multilevel analyses.
👉 Abelkermit, J. R., Hazesc, J. S., Prikkitrack, C. A., Etafon, J. A., & Ssab, J. B. (2021b). The Justin Timberlake effect. 𝘐𝘑𝘉𝘚𝘚𝘙, 2, 8. https://osf.io/n62ph

𝗔𝗗𝗗𝗜𝗧𝗜𝗢𝗡𝗔𝗟 𝗥𝗘𝗦𝗢𝗨𝗥𝗖𝗘𝗦

𝙈𝙪𝙡𝙩𝙞𝙡𝙚𝙫𝙚𝙡 𝙇𝙤𝙜𝙞𝙨𝙩𝙞𝙘 𝙍𝙚𝙜𝙧𝙚𝙨𝙨𝙞𝙤𝙣
👉 Sommet, N., & Morselli, D. (2017). Keep calm and learn multilevel logistic modeling: A simplified three-step procedure using Stata, R, Mplus, and SPSS. 𝘐𝘯𝘵 𝘙𝘦𝘷 𝘚𝘰𝘤 𝘗𝘴𝘺𝘤𝘩𝘰𝘭, 30, 203–218. https://doi.org/10.5334/irsp.90

𝙈𝙪𝙡𝙩𝙞𝙡𝙚𝙫𝙚𝙡 𝙈𝙤𝙙𝙚𝙡𝙞𝙣𝙜 𝙄𝙣𝙫𝙤𝙡𝙫𝙞𝙣𝙜 𝙏𝙝𝙧𝙚𝙚 𝙤𝙧 𝙈𝙤𝙧𝙚 𝙇𝙚𝙫𝙚𝙡𝙨
👉 Peugh, J. L. (2014). Conducting three-level cross-sectional analyses. 𝘑 𝘌𝘢𝘳𝘭𝘺 𝘈𝘥𝘰𝘭𝘦𝘴𝘤, 34, 7-37. https://doi.org/10.1177/0272431613498646

𝘾𝙧𝙤𝙨𝙨-𝘾𝙡𝙖𝙨𝙨𝙞𝙛𝙞𝙚𝙙 𝙈𝙤𝙙𝙚𝙡𝙨
👉 Baayen, R. H., Davidson, D. J., & Bates, D. M. (2008). Mixed-effects modeling with crossed 247 random effects for subjects and items. 𝘑 𝘔𝘦𝘮 𝘓𝘢𝘯𝘨, 59, 390-412. https://doi.org/10.1016/j.jml.2007.12...

𝘼𝙥𝙥𝙡𝙞𝙘𝙖𝙩𝙞𝙤𝙣 𝙤𝙛 𝙈𝙪𝙡𝙩𝙞𝙡𝙚𝙫𝙚𝙡 𝙈𝙤𝙙𝙚𝙡𝙞𝙣𝙜 𝙩𝙤 𝙍𝙚𝙥𝙚𝙖𝙩𝙚𝙙 𝙈𝙚𝙖𝙨𝙪𝙧𝙚𝙨
👉 Quené, H., & Van den Bergh, H. (2004). On multi-level modeling of data from repeated measures designs: A tutorial. 𝘚𝘱𝘦𝘦𝘤𝘩 𝘊𝘰𝘮𝘮𝘶𝘯, 43, 103-121. https://doi.org/10.1016/j.specom.2004...

𝙎𝙖𝙢𝙥𝙡𝙚 𝙎𝙞𝙯𝙚 𝙞𝙣 𝙈𝙪𝙡𝙩𝙞𝙡𝙚𝙫𝙚𝙡 𝙈𝙤𝙙𝙚𝙡𝙞𝙣𝙜
👉 Arend, M. G., & Schäfer, T. (2019). Statistical power in two-level models: A tutorial based on 244Monte Carlo simulation. 𝘗𝘴𝘺𝘤𝘩𝘰𝘭 𝘔𝘦𝘵𝘩𝘰𝘥𝘴, 24, 1-19. https://doi.org/10.1037/met0000195

Steering : https://www.adrips.org/
Funding: https://u-paris.fr/aap-innovations-pe...
Production : https://www.lacasquette.fr/