Editing Bayesian statistics (section)

===Statistical modeling===
The formulation of [[statistical model]]s using Bayesian statistics has the identifying feature of requiring the specification of [[prior distribution]]s for any unknown parameters. Indeed, parameters of prior distributions may themselves have prior distributions, leading to [[Bayesian hierarchical modeling]],<ref name="KruschkeVanpaemel2015">{{cite book |last1=Kruschke|first1=J K|author-link1=John K. Kruschke |last2=Vanpaemel |first2=W |chapter=Bayesian Estimation in Hierarchical Models |pages=279–299 |title=The Oxford Handbook of Computational and Mathematical Psychology |editor-last1=Busemeyer |editor-first1=J R |editor-last2=Wang |editor-first2=Z |editor-last3=Townsend |editor-first3=J T |editor-last4=Eidels |editor-first4=A |year=2015 |publisher=Oxford University Press |url=https://jkkweb.sitehost.iu.edu/articles/KruschkeVanpaemel2015.pdf}}</ref><ref name=":bmdl">Hajiramezanali, E. & Dadaneh, S. Z. & Karbalayghareh, A. & Zhou, Z. & Qian, X. Bayesian multi-domain learning for cancer subtype discovery from next-generation sequencing count data. 32nd Conference on Neural Information Processing Systems (NIPS 2018), Montréal, Canada. {{ArXiv|1810.09433}}</ref><ref>{{Cite journal |last1=Lee|first1=Se Yoon |first2=Bani|last2=Mallick|  title = Bayesian Hierarchical Modeling: Application Towards Production Results in the Eagle Ford Shale of South Texas|journal=Sankhya B|year=2021|volume=84 |pages=1–43 |doi=10.1007/s13571-020-00245-8|doi-access=}}</ref> also known as multi-level modeling. A special case is [[Bayesian networks]].

For conducting a Bayesian statistical analysis, best practices are discussed by van de Schoot et al.<ref name="vandeShootEtAl2021">{{cite journal|last1=van de Schoot |first1=Rens|last2=Depaoli |first2=Sarah |last3=King |first3=Ruth |last4=Kramer |first4=Bianca |last5=Märtens |first5=Kaspar |last6=Tadesse |first6=Mahlet G. |last7=Vannucci |first7=Marina |last8=Gelman |first8=Andrew |last9=Veen |first9=Duco |last10=Willemsen |first10=Joukje |last11=Yau |first11=Christopher |title=Bayesian statistics and modelling|journal=Nature Reviews Methods Primers|date=January 14, 2021|volume=1|number=1|pages=1–26|doi=10.1038/s43586-020-00001-2|hdl=1874/415909 |s2cid=234108684 |url=https://osf.io/wdtmc/|hdl-access=free }}</ref> 

For reporting the results of a Bayesian statistical analysis, Bayesian analysis reporting guidelines (BARG) are provided in an open-access article by [[John K. Kruschke]].<ref name="Kruschke2021BARG">{{cite journal|last=Kruschke|first=J K|author-link=John K. Kruschke|title=Bayesian Analysis Reporting Guidelines|journal=Nature Human Behaviour|date=Aug 16, 2021|volume=5|issue=10 |pages=1282–1291|doi=10.1038/s41562-021-01177-7|pmid=34400814 |pmc=8526359 }}</ref>