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In Bayesian analysis, we can use previous information, either belief or experimental evidence, in
a data model to acquire more balanced results for a particular problem. For example, incorporating
prior information can mitigate the effect of a small sample size. Importantly, the use of the prior
evidence is achieved in a theoretically sound and principled way.
By using the knowledge of the entire posterior distribution of model parameters, Bayesian inference
is far more comprehensive and flexible than the traditional inference.
Bayesian inference is exact, in the sense that estimation and prediction are based on the posterior
distribution. The latter is either known analytically or can be estimated numerically with an arbitrary
precision. In contrast, many frequentist estimation procedures such as maximum likelihood rely on
the assumption of asymptotic normality for inference.
Prior information helps.
统计功能介绍
Stata使得大量的统计工具用于指尖
● 基本表格和总结
● 案例对照分析
● ARIMA
● ANOVA 和MANOVA
● 线性回归
● 时间序列平滑
● 多层模型
● 生存分析
● 动态面板数据回归
● 结构方程建模
● 二进制,计数和审查结果
● ARCH
■ 标准方法,如■ 方法,如
● 多重替代法
● 调查数据
● Treatment effects
● 统计
● 贝叶斯分析
● ……
Building a reliable Bayesian model requires extensive experience from the researchers, which leads
to the second difficulty in Bayesian analysis—setting up a Bayesian model and performing analysis
is a demanding and involving task. This is true, however, to an extent for any statistical modeling
procedure.
Lastly, one of the main disadvantages of Bayesian analysis is the computational cost. As a rule,
Bayesian analysis involves intractable integrals that can only be computed using intensive numerical
methods. Most of these methods such as MCMC are stochastic by nature and do not comply with
the natural expectation from a user of obtaining deterministic results. Using simulation methods does
not compromise the discussed advantages of Bayesian approach, but unquestionably adds to the
complexity of its application in practice.
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