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vankesteren/bayesboot.jl

Created October 11, 2022 17:56
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Bayesian Bootstrap in Julia
Raw
bayesboot.jl
using Downloads
using CSV
using StatsKit
using Gadfly
# Apply macro from StatsBase to create new weights type
BayesianBootstrapWeights = StatsBase.@weights BayesianBoostrapWeights
function StatsBase.varcorrection(w::BayesianBootstrapWeights, corrected::Bool=false)
s = w.sum
if corrected
n = count(!iszero, w)
n / (s * (n - 1))
else
1 / s
end
end
function bbweights(N::Integer)
dist = Dirichlet(ones(N))
return BayesianBootstrapWeights(rand(dist))
end
# use the bayesian bootstrap weights for bootstrapping a regression
# load data
dat_url = "https://archive.ics.uci.edu/ml/machine-learning-databases/wine/wine.data"
dat_path = Downloads.download(dat_url)
dat_file = CSV.File(dat_path; header = 0)
dat_names = [
"alcohol", "malic_acid", "ash", "ash_alkalinity",
"magnesium", "total_phenols", "flavanoids", "nonflavanoid_phenols",
"proanthocyanins", "color_intensity", "hue", "od280_od315", "proline"
]
dat = DataFrame(dat_file)[:,2:end]
DataFrames.rename!(dat, dat_names)
frm = term(:alcohol) ~ sum(term.(dat_names[2:end]))
res = lm(frm, dat)
θ = zeros(13, 10000)
for i in 1:10000
w = bbweights(nrow(dat))
θ[:,i] = coef(lm(frm, dat; wts = w))
end
res_df = DataFrame(
:boot => [std(v) for v in eachrow(θ)],
:lm => coeftable(res).cols[2]
)
# Plot bootstrap distributions
bb_df = DataFrame(θ', vcat("Intercept", dat_names[2:end]))
p = plot(
stack(bb_df[:,2:5]),
xgroup = :variable,
x = :value, color = :variable,
Geom.subplot_grid(Geom.histogram, free_x_axis = true),
Theme(background_color = "white", key_position = :none),
Guide.title("Bayesian Bootstrap posteriors of four parameters.")
)
p |> SVG("boot.svg", 10inch, 5inch)
Display the source blob
Display the rendered blob
Raw
boot.svg
<?xml version="1.0" encoding="UTF-8"?>
<svg xmlns="http://www.w3.org/2000/svg"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:gadfly="http://www.gadflyjl.org/ns"
version="1.2"
width="254mm" height="127mm" viewBox="0 0 254 127"
stroke="none"
fill="#000000"
stroke-width="0.3"
font-size="3.88"
>
<defs>
<marker id="arrow" markerWidth="15" markerHeight="7" refX="5" refY="3.5" orient="auto" markerUnits="strokeWidth">
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<g transform="translate(127,115.39)">
<g class="primitive">
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