Short introduction to Bayesian statistics
Figure 1
![](../fig/bayesian-statistics-rendered-unnamed-chunk-2-1.png)
Figure 2
![](../fig/bayesian-statistics-rendered-unnamed-chunk-3-1.png)
Figure 3
![](../fig/bayesian-statistics-rendered-unnamed-chunk-7-1.png)
Figure 4
![](../fig/bayesian-statistics-rendered-unnamed-chunk-13-1.png)
Figure 5
![](../fig/bayesian-statistics-rendered-unnamed-chunk-15-1.png)
Figure 6
![](../fig/bayesian-statistics-rendered-unnamed-chunk-17-1.png)
Figure 7
![](../fig/bayesian-statistics-rendered-unnamed-chunk-19-1.png)
Stan
Figure 1
![](../fig/stan-rendered-unnamed-chunk-7-1.png)
Figure 2
![](../fig/stan-rendered-unnamed-chunk-11-1.png)
Figure 3
![](../fig/stan-rendered-unnamed-chunk-12-1.png)
Markov chain Monte Carlo
Figure 1
![](../fig/mcmc-rendered-unnamed-chunk-6-1.png)
Figure 2
![](../fig/mcmc-rendered-unnamed-chunk-8-1.png)
Figure 3
![](../fig/mcmc-rendered-unnamed-chunk-10-1.png)
Hierarchical models
Figure 1
![](../fig/hierarchical-models-rendered-unnamed-chunk-6-1.png)
Figure 2
![](../fig/hierarchical-models-rendered-unnamed-chunk-11-1.png)
Figure 3
![](../fig/hierarchical-models-rendered-unnamed-chunk-12-1.png)
Figure 4
We can see that the population distribution is able to capture the
measured average heights and standard deviations relatively well,
although the within-country variation is estimated to be too
concentrated. However, remember that these estimates are based on a
limited sample: 10 out of 200 countries with 10 individuals in each
group.
Figure 5
![](../fig/hierarchical-models-rendered-unnamed-chunk-15-1.png)
Model comparison
Figure 1
![](../fig/model-comparison-rendered-unnamed-chunk-2-1.png)
Figure 2
![](../fig/model-comparison-rendered-unnamed-chunk-5-1.png)
Figure 3
![](../fig/model-comparison-rendered-unnamed-chunk-7-1.png)
Figure 4
![](../fig/model-comparison-rendered-unnamed-chunk-9-1.png)
Figure 5
![](../fig/model-comparison-rendered-unnamed-chunk-10-1.png)
Gaussian processes
Figure 1
![](../fig/gaussian-processes-rendered-unnamed-chunk-2-1.png)
Figure 2
![](../fig/gaussian-processes-rendered-unnamed-chunk-3-1.png)
Figure 3
![](../fig/gaussian-processes-rendered-unnamed-chunk-7-1.png)
Figure 4
![](../fig/gaussian-processes-rendered-unnamed-chunk-10-1.png)
Figure 5
![](../fig/gaussian-processes-rendered-unnamed-chunk-13-1.png)
Figure 6
![](../fig/gaussian-processes-rendered-unnamed-chunk-16-1.png)
Figure 7
![](../fig/gaussian-processes-rendered-unnamed-chunk-18-1.png)