simulation.jl

### A Pluto.jl notebook ###
# v0.15.1

using Markdown
using InteractiveUtils

# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
    quote
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : missing
        el
    end
end

# ╔═╡ f9949a62-b108-11eb-37d6-bb0790f7899a
begin
	using DataFrames
	using LRUCache
	using MixedModels
	using MixedModelsSim
	using CairoMakie
	CairoMakie.activate!(type="svg")
	using MixedModelsMakie
	using PlutoUI
	using Random
	using StatsBase
	using MixedModels: nθ
	cache = LRU(;maxsize=10_000)
end;

# ╔═╡ 7faaf93e-b02a-4a5b-9c1d-2d60488f0590
md"""
Let's look at a simple fully crossed 2x2 design:
- **frequency** `high` vs. `low`/
- **context** `matched` vs. `unmatched`.
"""

# ╔═╡ da2e5642-3188-4f0d-8a8a-402a64860366
both_win = Dict(:context => ["matched", "unmatched"],
				:frequency => ["high", "low"]);


# ╔═╡ d2584c26-9db7-4f4e-afbc-9c1626130a16
contrasts = Dict(:frequency => EffectsCoding(base="high"),
                 :context => EffectsCoding(base="matched"))

# ╔═╡ 039bcc98-70d7-452f-9fef-785e848c6917
genform = @formula(dv ~ 1 + frequency * context +
                    (1 + frequency * context | subj) +
                    (1 + frequency * context | item));

# ╔═╡ b94dd394-12f9-490c-aad0-56635f1f65ea
md""" 

## State your budget (time and money)

"""

# ╔═╡ 99969868-a8d9-4096-ae05-8025f146fbd7
md"Number of subjects: $(@bind n_subj NumberField(10:100; default=40))"

# ╔═╡ 8be15f3f-1fba-4f74-aeae-1aae66ba4689
md"Number of items: $(@bind n_item  NumberField(10:100; default=40))"

# ╔═╡ 8b697c10-f6fb-4f30-a83d-11c73c6b6e7a
md"""

## State your theory

We can't claim that we're a real science without quantitative theory building (cf. Alday 2015, Guest and Martin 2021).

"""

# ╔═╡ 5da5bb89-b3ee-458f-b290-41ae9187548e
html"""
<blockquote class="twitter-tweet" data-conversation="none" data-lang="en" data-dnt="true"><p lang="en" dir="ltr">Modelling is letting the ideas that run in your head also run on other computers.</p>&mdash; Olivia Guest · Ολίβια Γκεστ (@o_guest) <a href="https://twitter.com/o_guest/status/1220786717399113728?ref_src=twsrc%5Etfw">January 24, 2020</a></blockquote> <script async src="https://platform.twitter.com/widgets.js" charset="utf-8"></script> 
"""

# ╔═╡ 5a015198-43c5-4c9e-a5b5-ae7821df1ae2
md"**Relative** By-subject standard deviation for `Intercept`: $(@bind s_subj_intercept NumberField(0:0.1:5; default=1))"

# ╔═╡ 4f6a4441-53b9-4d1e-b61a-da839f85d1a2
md"**Relative** By-subject standard deviation for `context`: $(@bind s_subj_context NumberField(0:0.1:5; default=1))"

# ╔═╡ 8ea30194-1ad1-44bb-8185-8236aa6c86eb
md"**Relative**  By-subject standard deviation for `frequency`: $(@bind s_subj_frequency  NumberField(0:0.1:5; default=1))"

# ╔═╡ fe53bb70-b1eb-4858-98fa-2256e8399b5b
md"**Relative**  By-subject standard deviation for `frequency`-`context` interaction: $(@bind s_subj_interaction  NumberField(0:0.1:5; default=0.1))"

# ╔═╡ fcbf836f-5e8e-4763-9c0f-ad9f9c3b5776
md"**Relative** By-item standard deviation for `Intercept`: $(@bind s_item_intercept  NumberField(0:0.1:5; default=1))"

# ╔═╡ a85ac4b0-1259-4a87-ac20-cca6a8924ba4
md"**Relative** By-item standard deviation for `context`: $(@bind s_item_context  NumberField(0:0.1:5; default=1))"

# ╔═╡ f6a1e981-46b8-4db9-b871-037014b6f1de
md"**Relative**  By-item standard deviation for `frequency`: $(@bind s_item_frequency  NumberField(0:0.1:5; default=1))"

# ╔═╡ b053fc48-cdd9-47bc-bbeb-1263e8cb13e7
md"**Relative**  By-item standard deviation for `frequency`-`context` interaction: $(@bind s_item_interaction  NumberField(0:0.1:5; default=0.1))"

# ╔═╡ 3287c778-ce89-42e7-b6c9-44da71590b71
β = [2, 1, 2, 0.6]

# ╔═╡ 701566c0-e28d-4e7f-bc45-191b533c8c2c
md"Residual standard deviation"

# ╔═╡ b6a549f9-acff-40a1-98fd-41affd1fd3c3
@bind σ  NumberField(0:0.1:5; default=1)

# ╔═╡ 892ad822-4af3-4410-8e27-46ee175ac513
md"Number of simulations"

# ╔═╡ c60759a8-729d-4c1d-84bc-718abe575144
@bind n_sim  NumberField(100:100:1000; default=100)

# ╔═╡ 99a2bae0-523e-4820-b486-d400819d58c4
fitform = @formula(dv ~ 1 + frequency * context +
                    (1 + frequency + context | subj) +
                    (1 + frequency + context | item));

# ╔═╡ 9aba0fc3-160a-4299-8371-c82081d808f9
begin
	using MixedModels: fixef!, stderror!, MixedModelBootstrap, getθ!
	using StaticArrays
	# modified from parametricbootstrap in MixedModels.jl
	# soon to be added to MixedModelsSim.jl
	function simulate_fit_different_form(
		rng::AbstractRNG,
		n::Integer,
		morig::MixedModel{T},
		form,
		data::DataFrame;
		use_threads::Bool=false,
		hide_progress::Bool=false,
		contrasts=Dict{Symbol,Any}()
	) where {T}
		mnew = fit(MixedModel, form, data; contrasts, progress=false)
		β = mnew.β
		σ = mnew.σ
		θ = mnew.θ
		
		β, θ = convert(Vector{T}, β), convert(Vector{T}, θ)
		βsc, θsc, p, k, m = similar(β), similar(θ), length(β), length(θ), deepcopy(morig)

		β_names = (Symbol.(fixefnames(mnew))...,)
		rank = length(β_names)

		# we need arrays of these for in-place operations to work across threads
		m_threads = [m]
		βsc_threads = [βsc]
		θsc_threads = [θsc]
		data_threads = [data]

		if use_threads
			Threads.resize_nthreads!(m_threads)
			Threads.resize_nthreads!(βsc_threads)
			Threads.resize_nthreads!(θsc_threads)
			Threads.resize_nthreads!(data_threads)
		end
		rnglock = Threads.SpinLock()
		samp = replicate(n; use_threads=use_threads, hide_progress=hide_progress) do
			tidx = use_threads ? Threads.threadid() : 1
			mod = m_threads[tidx]
			local βsc = βsc_threads[tidx]
			local θsc = θsc_threads[tidx]
			local data = data_threads[tidx]
			lock(rnglock)
			mod = simulate!(rng, mod)
			unlock(rnglock)
			data[!, fitform.lhs.sym] = response(mod)
			mod = fit(MixedModel, form, data; contrasts, progress=false)
			(
				objective=mod.objective,
				σ=mod.σ,
				β=NamedTuple{β_names}(fixef!(βsc, mod)),
				se=SVector{p,T}(stderror!(βsc, mod)),
				θ=SVector{k,T}(getθ!(θsc, mod)),
			)
		end
		return MixedModelBootstrap(
			samp,
			deepcopy(morig.λ),
			getfield.(morig.reterms, :inds),
			morig.optsum.lowerbd[1:length(first(samp).θ)],
			NamedTuple{Symbol.(fnames(mnew))}(map(t -> (t.cnames...,), morig.reterms)),
		)
	end
end

# ╔═╡ 8b9a2004-cd76-4c91-844a-cc280ad03846
begin
	design = simdat_crossed(MersenneTwister(42), n_subj, n_item;
                             both_win = both_win)
	design = pooled!(DataFrame(design))
	
	m0 = LinearMixedModel(genform, design; contrasts=contrasts)
	re_item = create_re(s_item_intercept, s_item_frequency, 
						s_item_context, s_item_interaction)
	re_subj = create_re(s_subj_intercept, s_subj_frequency, 
						s_subj_context, s_subj_interaction)
	if string(m0.reterms[1]) == "subj"
		MixedModelsSim.update!(m0, float.(re_subj), float.(re_item))
	else	
		MixedModelsSim.update!(m0, float.(re_item), float.(re_subj))
	end
	fit!(simulate!(MersenneTwister(421), m0; β=β, σ=σ, θ=m0.θ))
	design.dv = response(m0)
end;

# ╔═╡ ccae902d-7a27-46c3-b3a9-03d9d9fb8c3c
md"""The model fit to the **true** data-generating formula:"""

# ╔═╡ a6e3bf43-3047-4dcf-a278-02451db3a817
m0

# ╔═╡ 8652fb19-6232-4c02-81c5-0c7318a58325
md"""Model with simplified formula fit to the same data:"""

# ╔═╡ 540d24c7-2132-4a37-ae0d-33b7a8ee009e
m1 = fit(MixedModel, fitform, design; contrasts=contrasts)

# ╔═╡ bf20a161-0d37-4e49-a7b9-e79c33cbbbe8
md"""
!!! note
    The estimates themselves don't change much. This is already a hint at something bigger: **replication** (which always means more participants) is critical to check results. Notably, in the case where the misspecification has the biggest difference in terms of *stargazing*, we fail to recover the true parameter value
"""

# ╔═╡ ed212558-f306-4c8b-a70a-f91eaadf812c
MixedModels.likelihoodratiotest(m0, m1)

# ╔═╡ 4c4b9ad9-3233-4548-a3a3-76329597befc
# caterpillar(m0)

# ╔═╡ da809fbc-131e-4bed-b221-58e1e25a67e5
# shrinkageplot(m0)

# ╔═╡ c3c315b9-eb3e-4a8e-b528-85367ff568c1
# caterpillar(m1)

# ╔═╡ d703bd60-37fb-4611-9f00-12ce716ed9e7
# shrinkageplot(m0)

# ╔═╡ dd586970-9cb9-425e-8492-af194730c371
# results = get!(cache, (m0, n_sim, fitform)) do 
# 	# this is actually generating the same data twice
# 	# which is kinda inefficient but makes for simpler code
# 	alternative = simulate_fit_different_form(MersenneTwister(24), n_sim, m0, fitform, design; contrasts)
# 	generating = parametricbootstrap(MersenneTwister(24), n_sim, m0)
# 	(; alternative, generating)
# end

# ╔═╡ ddb5fb01-64d8-483d-9df0-b2f7b4b750ef
# ridgeplot(results.generating; xlabel="Estimate", title="Using the true model")

# ╔═╡ 07307417-6dd5-40ac-99f8-599b69ec237d
# ridgeplot(results.alternative; xlabel="Estimate", title="Using the simplified model")

# ╔═╡ 930e090c-91c4-495a-9802-938dfe6aaf88
md"""
 
## Barred Advice

"""

# ╔═╡ 1df986f6-d7c7-4fc1-aa6d-5ede2ece132a
begin
	StatsBase.coefnames(re::MixedModels.AbstractReMat) = re.cnames
	kb07 = MixedModels.dataset(:kb07)
end;

# ╔═╡ 6194e117-f2ef-4c95-8d47-869d862cac8e
kb07contrasts = Dict(:spkr => EffectsCoding(), :prec => EffectsCoding(), :load => EffectsCoding())

# ╔═╡ c72c65ff-94c9-43d4-97e0-65e56ba9f90c
kb07max = fit(MixedModel, @formula(rt_trunc ~ 1+spkr*prec*load+(1+spkr*prec*load|subj)+(1+spkr*prec*load|item)), kb07; contrasts=kb07contrasts, thin=1)

# ╔═╡ ef79ad8d-f17f-40f2-b8f4-bfc0d4ebc906
# LocalResource(
# 	let fig = Figure(), fitlog = kb07max.optsum.fitlog, m = kb07max
# 		ppll = Node(Point2f0[])
# 		axll = Axis(fig[1, 1])
# 		lines!(axll, ppll)
# 		axll.ylabel = "-2 log likelihood"
# 		hidexdecorations!(axll)

# 		ppθ = Node(zeros(Float32, length(m.θ), 0))
# 		isvar = Int.(m.θ .!= 0)
# 		grps = mapreduce(vcat, enumerate(m.reterms)) do (idx, re)
# 			idx * ones(Int, MixedModels.nθ(re))
# 		end
# 		cols = cgrad(:Dark2_8; categorical=unique(grps), alpha=0.6)[grps]
# 		labs = string.(MixedModels.fname.(m.reterms[grps]))

# 		axθ = Axis(fig[2, 1])
# 		s = series!(axθ, ppθ; solid_color=cols, labels=labs)
# 		axislegend(axθ; unique=true)
# 		axθ.xlabel = "iteration"
# 		axθ.ylabel = "θ"
# 		linkxaxes!(axll, axθ)

# 		vid = record(fig, joinpath(path, "ll_kb07max.mp4"), enumerate(fitlog), framerate = frate) do (idx, (θ, ll))
# 			push!(ppll[], Point2f0(idx, ll))
# 			ppθ[] = hcat(ppθ[], reshape(θ, :, 1))
# 			autolimits!(axθ)
# 			autolimits!(axll)
# 		end
# 		vid
# 	end
# )

# ╔═╡ 1e2c3e07-0c6c-4577-8cf6-c3edeac2a2b7
# LocalResource(
# 	let fig = Figure(), fitlog = kb07max.optsum.fitlog, m = kb07max
# 		supertitle = Node("-2 log likelihood: ")
# 		l1 = Label(fig[1, 1], supertitle, textsize = 15)
# 		l1.tellwidth = false
# 		itertitle = Node("iter:")
# 		l2 = Label(fig[1, 2], itertitle, textsize = 15)
# 		l2.tellwidth = false
# 		titlelayout = GridLayout()
# 		fig[1, 1:2] = titlelayout

# 		axpar = Axis(fig[2, :])
# 		axpar.tellwidth = true
# 		θs = Node(copy(m.optsum.initial))
# 		xs = 1:length(θs[])
# 		iter = Node(1.0)
# 		maxiter = length(fitlog)
# 		idx = 1
# 		color = lift(iter) do iter
# 			(:black, 0.75 ^ (iter - idx))
# 		end
# 		scatter!(axpar, xs, θs; color)
# 		lines!(axpar, xs, θs; color)
# 		autolimits!(axpar)

# 		θnames = sizehint!(String[], sum(nθ, m.reterms))
# 		for (g, gname) in enumerate(fnames(m))
# 			cnms = coefnames(m.reterms[g])
# 			for i in 1:length(cnms), j in 1:i
# 				if i == j
# 					push!(θnames, string("σ_", gname, "_", first(cnms[i],10)))
# 				else
# 					push!(θnames, string("ρ_", gname, "_", first(cnms[j],10), "_", first(cnms[i],10)))
# 				end		
# 			end
# 		end
# 		axpar.xticks[] = (xs, θnames)
# 		axpar.xticklabelrotation[] = pi/4
# 		axpar.xlabel = "θ components"
# 		axpar.ylabel = "θ values"

# 		vid = record(fig, joinpath(path, "theta_kb07max.mp4"), enumerate(fitlog), framerate = frate) do (idx, (θ, ll))
# 			iter[] = idx
# 			color = lift(iter) do iter
# 				(:black, 0.75 ^ (iter - idx))
# 			end
# 			scatter!(axpar, xs, θ; color)
# 			lines!(axpar, xs, θ; color)
# 			supertitle[] = "-2 log likelihood: $(round(Int,ll))"
# 			itertitle[] = "iter: $(idx)"
# 			autolimits!(axpar)
# 		end
# 		vid

# 	end
# )

# ╔═╡ 63e762e3-a516-4028-9b19-def07379cee7
# kb07max.rePCA

# ╔═╡ 78aa4721-ad0a-4974-8b0e-8dae235182ef
# VarCorr(kb07max)

# ╔═╡ 12f15774-b10b-4788-a00d-54bb8cd1c148
kb07red = fit(MixedModel, @formula(rt_trunc ~ 1 + prec * spkr * load + (1|subj) + (1+prec|item)), kb07; contrasts=kb07contrasts, thin=1)

# ╔═╡ 643fd8e5-9cb7-4083-85f5-a1976cfd9791
MixedModels.likelihoodratiotest(kb07red, kb07max)

# ╔═╡ b8207f1a-b3f9-4a14-af33-8f25a62cc46b
# LocalResource(
# 	let fig = Figure(), fitlog = kb07red.optsum.fitlog, m = kb07red
# 		ppll = Node(Point2f0[])
# 		axll = Axis(fig[1, 1])
# 		lines!(axll, ppll)
# 		axll.ylabel = "-2 log likelihood"
# 		hidexdecorations!(axll)

# 		ppθ = Node(zeros(Float32, length(m.θ), 0))
# 		isvar = Int.(m.θ .!= 0)
# 		grps = mapreduce(vcat, enumerate(m.reterms)) do (idx, re)
# 			idx * ones(Int, MixedModels.nθ(re))
# 		end
# 		cols = cgrad(:Dark2_8; categorical=unique(grps), alpha=0.6)[grps]
# 		labs = string.(MixedModels.fname.(m.reterms[grps]))

# 		axθ = Axis(fig[2, 1])
# 		s = series!(axθ, ppθ; solid_color=cols, labels=labs)
# 		axislegend(axθ; unique=true)
# 		axθ.xlabel = "iteration"
# 		axθ.ylabel = "θ"
# 		linkxaxes!(axll, axθ)

# 		vid = record(fig, joinpath(path, "ll_kb07red.mp4"), enumerate(fitlog), framerate = frate) do (idx, (θ, ll))
# 			push!(ppll[], Point2f0(idx, ll))
# 			ppθ[] = hcat(ppθ[], reshape(θ, :, 1))
# 			autolimits!(axθ)
# 			autolimits!(axll)
# 		end
# 		vid
# 	end
# )

# ╔═╡ 8e386ce0-955f-4af3-9793-b23a8cb7adcb
# LocalResource(
# 	let fig = Figure(), fitlog = kb07red.optsum.fitlog, m = kb07red
# 		supertitle = Node("-2 log likelihood: ")
# 		l1 = Label(fig[1, 1], supertitle, textsize = 15)
# 		l1.tellwidth = false
# 		itertitle = Node("iter:")
# 		l2 = Label(fig[1, 2], itertitle, textsize = 15)
# 		l2.tellwidth = false
# 		titlelayout = GridLayout()
# 		fig[1, 1:2] = titlelayout

# 		axpar = Axis(fig[2, :])
# 		axpar.tellwidth = true
# 		θs = Node(copy(m.optsum.initial))
# 		xs = 1:length(θs[])
# 		iter = Node(1.0)
# 		maxiter = length(fitlog)
# 		idx = 1
# 		color = lift(iter) do iter
# 			(:black, 0.75 ^ (iter - idx))
# 		end
# 		scatter!(axpar, xs, θs; color)
# 		lines!(axpar, xs, θs; color)
# 		autolimits!(axpar)

# 		θnames = sizehint!(String[], sum(nθ, m.reterms))
# 		for (g, gname) in enumerate(fnames(m))
# 			cnms = coefnames(m.reterms[g])
# 			for i in 1:length(cnms), j in 1:i
# 				if i == j
# 					push!(θnames, string("σ_", gname, "_", first(cnms[i],10)))
# 				else
# 					push!(θnames, string("ρ_", gname, "_", first(cnms[j],10), "_", first(cnms[i],10)))
# 				end		
# 			end
# 		end
# 		axpar.xticks[] = (xs, θnames)
# 		axpar.xticklabelrotation[] = pi/4
# 		axpar.xlabel = "θ components"
# 		axpar.ylabel = "θ values"

# 		vid = record(fig, joinpath(path, "theta_kb07red.mp4"), enumerate(fitlog), framerate = frate) do (idx, (θ, ll))
# 			iter[] = idx
# 			color = lift(iter) do iter
# 				(:black, 0.75 ^ (iter - idx))
# 			end
# 			scatter!(axpar, xs, θ; color)
# 			lines!(axpar, xs, θ; color)
# 			supertitle[] = "-2 log likelihood: $(round(Int,ll))"
# 			itertitle[] = "iter: $(idx)"
# 			autolimits!(axpar)
# 		end
# 		vid

# 	end
# )

# ╔═╡ cc24d99b-5652-4fd2-a211-1919192d1612
kb07int = fit(MixedModel, @formula(rt_trunc ~ 1+spkr*prec*load+(1|subj)+(1|item)), kb07; contrasts=kb07contrasts, thin=1)

# ╔═╡ 2c3967e8-9aee-49a0-913c-6636294036e3
path = mktempdir();

# ╔═╡ 9a93e06e-4ec5-48cc-bc18-33d918d26506
frate = 10;

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0"
DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
LRUCache = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
MixedModels = "ff71e718-51f3-5ec2-a782-8ffcbfa3c316"
MixedModelsMakie = "b12ae82c-6730-437f-aff9-d2c38332a376"
MixedModelsSim = "d5ae56c5-23ca-4a1f-b505-9fc4796fc1fe"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"

[compat]
CairoMakie = "~0.6.5"
DataFrames = "~1.2.2"
LRUCache = "~1.3.0"
MixedModels = "~4.1.1"
MixedModelsMakie = "~0.3.8"
MixedModelsSim = "~0.2.3"
PlutoUI = "~0.7.9"
StaticArrays = "~1.2.12"
StatsBase = "~0.33.10"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised

[[AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "1.0.1"

[[AbstractTrees]]
git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.3.4"

[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.3.1"

[[Animations]]
deps = ["Colors"]
git-tree-sha1 = "e81c509d2c8e49592413bfb0bb3b08150056c79d"
uuid = "27a7e980-b3e6-11e9-2bcd-0b925532e340"
version = "0.4.1"

[[ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"

[[ArrayInterface]]
deps = ["IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
git-tree-sha1 = "019303a0f26d6012f35ecdfa4618551d145fb9f2"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "3.1.31"

[[Arrow]]
deps = ["ArrowTypes", "BitIntegers", "CodecLz4", "CodecZstd", "DataAPI", "Dates", "Mmap", "PooledArrays", "SentinelArrays", "Tables", "TimeZones", "UUIDs"]
git-tree-sha1 = "b00e6eaba895683867728e73af78a00218f0db10"
uuid = "69666777-d1a9-59fb-9406-91d4454c9d45"
version = "1.6.2"

[[ArrowTypes]]
deps = ["UUIDs"]
git-tree-sha1 = "a0633b6d6efabf3f76dacd6eb1b3ec6c42ab0552"
uuid = "31f734f8-188a-4ce0-8406-c8a06bd891cd"
version = "1.2.1"

[[Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

[[Automa]]
deps = ["Printf", "ScanByte", "TranscodingStreams"]
git-tree-sha1 = "d50976f217489ce799e366d9561d56a98a30d7fe"
uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b"
version = "0.8.2"

[[AxisAlgorithms]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
git-tree-sha1 = "a4d07a1c313392a77042855df46c5f534076fab9"
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
version = "1.0.0"

[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[BenchmarkTools]]
deps = ["JSON", "Logging", "Printf", "Statistics", "UUIDs"]
git-tree-sha1 = "42ac5e523869a84eac9669eaceed9e4aa0e1587b"
uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
version = "1.1.4"

[[BitIntegers]]
deps = ["Random"]
git-tree-sha1 = "f50b5a99aa6ff9db7bf51255b5c21c8bc871ad54"
uuid = "c3b6d118-76ef-56ca-8cc7-ebb389d030a1"
version = "0.2.5"

[[Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+0"

[[CEnum]]
git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.4.1"

[[Cairo]]
deps = ["Cairo_jll", "Colors", "Glib_jll", "Graphics", "Libdl", "Pango_jll"]
git-tree-sha1 = "d0b3f8b4ad16cb0a2988c6788646a5e6a17b6b1b"
uuid = "159f3aea-2a34-519c-b102-8c37f9878175"
version = "1.0.5"

[[CairoMakie]]
deps = ["Base64", "Cairo", "Colors", "FFTW", "FileIO", "FreeType", "GeometryBasics", "LinearAlgebra", "Makie", "SHA", "StaticArrays"]
git-tree-sha1 = "8664989955daccc90002629aa80193e44893bb45"
uuid = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0"
version = "0.6.5"

[[Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "f2202b55d816427cd385a9a4f3ffb226bee80f99"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.16.1+0"

[[ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "30ee06de5ff870b45c78f529a6b093b3323256a3"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.3.1"

[[CodecBzip2]]
deps = ["Bzip2_jll", "Libdl", "TranscodingStreams"]
git-tree-sha1 = "2e62a725210ce3c3c2e1a3080190e7ca491f18d7"
uuid = "523fee87-0ab8-5b00-afb7-3ecf72e48cfd"
version = "0.7.2"

[[CodecLz4]]
deps = ["Lz4_jll", "TranscodingStreams"]
git-tree-sha1 = "59fe0cb37784288d6b9f1baebddbf75457395d40"
uuid = "5ba52731-8f18-5e0d-9241-30f10d1ec561"
version = "0.4.0"

[[CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.0"

[[CodecZstd]]
deps = ["TranscodingStreams", "Zstd_jll"]
git-tree-sha1 = "d19cd9ae79ef31774151637492291d75194fc5fa"
uuid = "6b39b394-51ab-5f42-8807-6242bab2b4c2"
version = "0.7.0"

[[ColorBrewer]]
deps = ["Colors", "JSON", "Test"]
git-tree-sha1 = "61c5334f33d91e570e1d0c3eb5465835242582c4"
uuid = "a2cac450-b92f-5266-8821-25eda20663c8"
version = "0.4.0"

[[ColorSchemes]]
deps = ["ColorTypes", "Colors", "FixedPointNumbers", "Random"]
git-tree-sha1 = "9995eb3977fbf67b86d0a0a0508e83017ded03f2"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.14.0"

[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "024fe24d83e4a5bf5fc80501a314ce0d1aa35597"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.0"

[[ColorVectorSpace]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"]
git-tree-sha1 = "42a9b08d3f2f951c9b283ea427d96ed9f1f30343"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.9.5"

[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.8"

[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "727e463cfebd0c7b999bbf3e9e7e16f254b94193"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.34.0"

[[CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"

[[Contour]]
deps = ["StaticArrays"]
git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.5.7"

[[Crayons]]
git-tree-sha1 = "3f71217b538d7aaee0b69ab47d9b7724ca8afa0d"
uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
version = "4.0.4"

[[DataAPI]]
git-tree-sha1 = "bec2532f8adb82005476c141ec23e921fc20971b"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.8.0"

[[DataFrames]]
deps = ["Compat", "DataAPI", "Future", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Reexport", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
git-tree-sha1 = "d785f42445b63fc86caa08bb9a9351008be9b765"
uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
version = "1.2.2"

[[DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "7d9d316f04214f7efdbb6398d545446e246eff02"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.10"

[[DataValueInterfaces]]
git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
version = "1.0.0"

[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"

[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[Distributions]]
deps = ["ChainRulesCore", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns"]
git-tree-sha1 = "f4efaa4b5157e0cdb8283ae0b5428bc9208436ed"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.16"

[[DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "a32185f5428d3986f47c2ab78b1f216d5e6cc96f"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.5"

[[Downloads]]
deps = ["ArgTools", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"

[[EarCut_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d"
uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
version = "2.2.3+0"

[[EllipsisNotation]]
deps = ["ArrayInterface"]
git-tree-sha1 = "8041575f021cba5a099a456b4163c9a08b566a02"
uuid = "da5c29d0-fa7d-589e-88eb-ea29b0a81949"
version = "1.1.0"

[[Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b3bfd02e98aedfa5cf885665493c5598c350cd2f"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.2.10+0"

[[ExprTools]]
git-tree-sha1 = "b7e3d17636b348f005f11040025ae8c6f645fe92"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.6"

[[FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.1"

[[FFMPEG_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f"
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
version = "4.4.0+0"

[[FFTW]]
deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
git-tree-sha1 = "f985af3b9f4e278b1d24434cbb546d6092fca661"
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
version = "1.4.3"

[[FFTW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3676abafff7e4ff07bbd2c42b3d8201f31653dcc"
uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
version = "3.3.9+8"

[[FileIO]]
deps = ["Pkg", "Requires", "UUIDs"]
git-tree-sha1 = "3c041d2ac0a52a12a27af2782b34900d9c3ee68c"
uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
version = "1.11.1"

[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
git-tree-sha1 = "a3b7b041753094f3b17ffa9d2e2e07d8cace09cd"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.12.3"

[[FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"

[[Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.93+0"

[[Formatting]]
deps = ["Printf"]
git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
version = "0.4.2"

[[FreeType]]
deps = ["CEnum", "FreeType2_jll"]
git-tree-sha1 = "cabd77ab6a6fdff49bfd24af2ebe76e6e018a2b4"
uuid = "b38be410-82b0-50bf-ab77-7b57e271db43"
version = "4.0.0"

[[FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.10.4+0"

[[FreeTypeAbstraction]]
deps = ["ColorVectorSpace", "Colors", "FreeType", "GeometryBasics", "StaticArrays"]
git-tree-sha1 = "19d0f1e234c13bbfd75258e55c52aa1d876115f5"
uuid = "663a7486-cb36-511b-a19d-713bb74d65c9"
version = "0.9.2"

[[FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.10+0"

[[Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[GLM]]
deps = ["Distributions", "LinearAlgebra", "Printf", "Reexport", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "StatsModels"]
git-tree-sha1 = "f564ce4af5e79bb88ff1f4488e64363487674278"
uuid = "38e38edf-8417-5370-95a0-9cbb8c7f171a"
version = "1.5.1"

[[GeometryBasics]]
deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
git-tree-sha1 = "58bcdf5ebc057b085e58d95c138725628dd7453c"
uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
version = "0.4.1"

[[Gettext_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
version = "0.21.0+0"

[[Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "7bf67e9a481712b3dbe9cb3dac852dc4b1162e02"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.68.3+0"

[[Graphics]]
deps = ["Colors", "LinearAlgebra", "NaNMath"]
git-tree-sha1 = "2c1cf4df419938ece72de17f368a021ee162762e"
uuid = "a2bd30eb-e257-5431-a919-1863eab51364"
version = "1.1.0"

[[Graphite2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
version = "1.3.14+0"

[[GridLayoutBase]]
deps = ["GeometryBasics", "InteractiveUtils", "Match", "Observables"]
git-tree-sha1 = "e2f606c87d09d5187bb6069dab8cee0af7c77bdb"
uuid = "3955a311-db13-416c-9275-1d80ed98e5e9"
version = "0.6.1"

[[Grisu]]
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
version = "1.0.2"

[[HarfBuzz_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
git-tree-sha1 = "8a954fed8ac097d5be04921d595f741115c1b2ad"
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
version = "2.8.1+0"

[[IfElse]]
git-tree-sha1 = "28e837ff3e7a6c3cdb252ce49fb412c8eb3caeef"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.0"

[[ImageCore]]
deps = ["AbstractFFTs", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Graphics", "MappedArrays", "MosaicViews", "OffsetArrays", "PaddedViews", "Reexport"]
git-tree-sha1 = "595155739d361589b3d074386f77c107a8ada6f7"
uuid = "a09fc81d-aa75-5fe9-8630-4744c3626534"
version = "0.9.2"

[[ImageIO]]
deps = ["FileIO", "Netpbm", "PNGFiles"]
git-tree-sha1 = "0d6d09c28d67611c68e25af0c2df7269c82b73c7"
uuid = "82e4d734-157c-48bb-816b-45c225c6df19"
version = "0.4.1"

[[IndirectArrays]]
git-tree-sha1 = "012e604e1c7458645cb8b436f8fba789a51b257f"
uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
version = "1.0.0"

[[IntelOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
version = "2018.0.3+2"

[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[Interpolations]]
deps = ["AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
git-tree-sha1 = "61aa005707ea2cebf47c8d780da8dc9bc4e0c512"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.13.4"

[[IntervalSets]]
deps = ["Dates", "EllipsisNotation", "Statistics"]
git-tree-sha1 = "3cc368af3f110a767ac786560045dceddfc16758"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.5.3"

[[InvertedIndices]]
git-tree-sha1 = "bee5f1ef5bf65df56bdd2e40447590b272a5471f"
uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
version = "1.1.0"

[[IrrationalConstants]]
git-tree-sha1 = "f76424439413893a832026ca355fe273e93bce94"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.1.0"

[[Isoband]]
deps = ["isoband_jll"]
git-tree-sha1 = "f9b6d97355599074dc867318950adaa6f9946137"
uuid = "f1662d9f-8043-43de-a69a-05efc1cc6ff4"
version = "0.1.1"

[[IterTools]]
git-tree-sha1 = "05110a2ab1fc5f932622ffea2a003221f4782c18"
uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
version = "1.3.0"

[[IteratorInterfaceExtensions]]
git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
uuid = "82899510-4779-5014-852e-03e436cf321d"
version = "1.0.0"

[[JLLWrappers]]
deps = ["Preferences"]
git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.3.0"

[[JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.2"

[[JSON3]]
deps = ["Dates", "Mmap", "Parsers", "StructTypes", "UUIDs"]
git-tree-sha1 = "b3e5984da3c6c95bcf6931760387ff2e64f508f3"
uuid = "0f8b85d8-7281-11e9-16c2-39a750bddbf1"
version = "1.9.1"

[[KernelDensity]]
deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
git-tree-sha1 = "591e8dc09ad18386189610acafb970032c519707"
uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
version = "0.6.3"

[[LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.1+0"

[[LRUCache]]
git-tree-sha1 = "d64a0aff6691612ab9fb0117b0995270871c5dfc"
uuid = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
version = "1.3.0"

[[LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.1+0"

[[LaTeXStrings]]
git-tree-sha1 = "c7f1c695e06c01b95a67f0cd1d34994f3e7db104"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.2.1"

[[LazyArtifacts]]
deps = ["Artifacts", "Pkg"]
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"

[[LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"

[[LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"

[[LibGit2]]
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"

[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "761a393aeccd6aa92ec3515e428c26bf99575b3b"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.2+0"

[[Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.8.7+0"

[[Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.42.0+0"

[[Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.16.1+1"

[[Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.35.0+0"

[[Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.36.0+0"

[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[LogExpFunctions]]
deps = ["ChainRulesCore", "DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "86197a8ecb06e222d66797b0c2d2f0cc7b69e42b"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.2"

[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[Lz4_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "5d494bc6e85c4c9b626ee0cab05daa4085486ab1"
uuid = "5ced341a-0733-55b8-9ab6-a4889d929147"
version = "1.9.3+0"

[[MKL_jll]]
deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
git-tree-sha1 = "c253236b0ed414624b083e6b72bfe891fbd2c7af"
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
version = "2021.1.1+1"

[[Makie]]
deps = ["Animations", "Base64", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "Distributions", "DocStringExtensions", "FFMPEG", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MakieCore", "Markdown", "Match", "MathTeXEngine", "Observables", "Packing", "PlotUtils", "PolygonOps", "Printf", "Random", "RelocatableFolders", "Serialization", "Showoff", "SignedDistanceFields", "SparseArrays", "StaticArrays", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "UnicodeFun"]
git-tree-sha1 = "7e49f989e7c7f50fe55bd92d45329c9cf3f2583d"
uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
version = "0.15.2"

[[MakieCore]]
deps = ["Observables"]
git-tree-sha1 = "7bcc8323fb37523a6a51ade2234eee27a11114c8"
uuid = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
version = "0.1.3"

[[MappedArrays]]
git-tree-sha1 = "e8b359ef06ec72e8c030463fe02efe5527ee5142"
uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
version = "0.4.1"

[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[Match]]
git-tree-sha1 = "5cf525d97caf86d29307150fcba763a64eaa9cbe"
uuid = "7eb4fadd-790c-5f42-8a69-bfa0b872bfbf"
version = "1.1.0"

[[MathOptInterface]]
deps = ["BenchmarkTools", "CodecBzip2", "CodecZlib", "JSON", "LinearAlgebra", "MutableArithmetics", "OrderedCollections", "Printf", "SparseArrays", "Test", "Unicode"]
git-tree-sha1 = "debba84c7060716b0737504b59aabe976c9b91cb"
uuid = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"
version = "0.10.0"

[[MathProgBase]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "9abbe463a1e9fc507f12a69e7f29346c2cdc472c"
uuid = "fdba3010-5040-5b88-9595-932c9decdf73"
version = "0.7.8"

[[MathTeXEngine]]
deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "Test"]
git-tree-sha1 = "f5c8789464aed7058107463e5cef53e6ad3f1f3e"
uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53"
version = "0.2.0"

[[MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "2ca267b08821e86c5ef4376cffed98a46c2cb205"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.0.1"

[[MixedModels]]
deps = ["Arrow", "DataAPI", "Distributions", "GLM", "JSON3", "LazyArtifacts", "LinearAlgebra", "Markdown", "NLopt", "PooledArrays", "ProgressMeter", "Random", "SparseArrays", "StaticArrays", "Statistics", "StatsBase", "StatsFuns", "StatsModels", "StructTypes", "Tables"]
git-tree-sha1 = "f318e42a48ec0a856292bafeec6b07aed3f6d600"
uuid = "ff71e718-51f3-5ec2-a782-8ffcbfa3c316"
version = "4.1.1"

[[MixedModelsMakie]]
deps = ["DataFrames", "Distributions", "KernelDensity", "LinearAlgebra", "Makie", "MixedModels", "Printf", "SpecialFunctions", "StatsBase"]
git-tree-sha1 = "e2ae99b3b4675ddc91e9c421a775eff52a784696"
uuid = "b12ae82c-6730-437f-aff9-d2c38332a376"
version = "0.3.8"

[[MixedModelsSim]]
deps = ["LinearAlgebra", "MixedModels", "PooledArrays", "PrettyTables", "Random", "Statistics", "Tables"]
git-tree-sha1 = "ad4eaa164a5ab5fd22effcb86e7c991192ed3488"
uuid = "d5ae56c5-23ca-4a1f-b505-9fc4796fc1fe"
version = "0.2.3"

[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[Mocking]]
deps = ["ExprTools"]
git-tree-sha1 = "748f6e1e4de814b101911e64cc12d83a6af66782"
uuid = "78c3b35d-d492-501b-9361-3d52fe80e533"
version = "0.7.2"

[[MosaicViews]]
deps = ["MappedArrays", "OffsetArrays", "PaddedViews", "StackViews"]
git-tree-sha1 = "b34e3bc3ca7c94914418637cb10cc4d1d80d877d"
uuid = "e94cdb99-869f-56ef-bcf0-1ae2bcbe0389"
version = "0.3.3"

[[MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"

[[MutableArithmetics]]
deps = ["LinearAlgebra", "SparseArrays", "Test"]
git-tree-sha1 = "3927848ccebcc165952dc0d9ac9aa274a87bfe01"
uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
version = "0.2.20"

[[NLopt]]
deps = ["MathOptInterface", "MathProgBase", "NLopt_jll"]
git-tree-sha1 = "f115030b9325ca09ef1619ba0617b2a64101ce84"
uuid = "76087f3c-5699-56af-9a33-bf431cd00edd"
version = "0.6.4"

[[NLopt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "2b597c46900f5f811bec31f0dcc88b45744a2a09"
uuid = "079eb43e-fd8e-5478-9966-2cf3e3edb778"
version = "2.7.0+0"

[[NaNMath]]
git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.5"

[[Netpbm]]
deps = ["FileIO", "ImageCore"]
git-tree-sha1 = "18efc06f6ec36a8b801b23f076e3c6ac7c3bf153"
uuid = "f09324ee-3d7c-5217-9330-fc30815ba969"
version = "1.0.2"

[[NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"

[[Observables]]
git-tree-sha1 = "fe29afdef3d0c4a8286128d4e45cc50621b1e43d"
uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
version = "0.4.0"

[[OffsetArrays]]
deps = ["Adapt"]
git-tree-sha1 = "c870a0d713b51e4b49be6432eff0e26a4325afee"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.10.6"

[[Ogg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7937eda4681660b4d6aeeecc2f7e1c81c8ee4e2f"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.5+0"

[[OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "15003dcb7d8db3c6c857fda14891a539a8f2705a"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.10+0"

[[OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"

[[Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.2+0"

[[OrderedCollections]]
git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.4.1"

[[PCRE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b2a7af664e098055a7529ad1a900ded962bca488"
uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
version = "8.44.0+0"

[[PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "4dd403333bcf0909341cfe57ec115152f937d7d8"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.1"

[[PNGFiles]]
deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"]
git-tree-sha1 = "e14c485f6beee0c7a8dcf6128bf70b85f1fe201e"
uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883"
version = "0.3.9"

[[Packing]]
deps = ["GeometryBasics"]
git-tree-sha1 = "1155f6f937fa2b94104162f01fa400e192e4272f"
uuid = "19eb6ba3-879d-56ad-ad62-d5c202156566"
version = "0.4.2"

[[PaddedViews]]
deps = ["OffsetArrays"]
git-tree-sha1 = "646eed6f6a5d8df6708f15ea7e02a7a2c4fe4800"
uuid = "5432bcbf-9aad-5242-b902-cca2824c8663"
version = "0.5.10"

[[Pango_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9bc1871464b12ed19297fbc56c4fb4ba84988b0d"
uuid = "36c8627f-9965-5494-a995-c6b170f724f3"
version = "1.47.0+0"

[[Parsers]]
deps = ["Dates"]
git-tree-sha1 = "438d35d2d95ae2c5e8780b330592b6de8494e779"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.0.3"

[[Pixman_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.40.1+0"

[[Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
git-tree-sha1 = "9ff1c70190c1c30aebca35dc489f7411b256cd23"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.0.13"

[[PlutoUI]]
deps = ["Base64", "Dates", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "Suppressor"]
git-tree-sha1 = "44e225d5837e2a2345e69a1d1e01ac2443ff9fcb"
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
version = "0.7.9"

[[PolygonOps]]
git-tree-sha1 = "c031d2332c9a8e1c90eca239385815dc271abb22"
uuid = "647866c9-e3ac-4575-94e7-e3d426903924"
version = "0.1.1"

[[PooledArrays]]
deps = ["DataAPI", "Future"]
git-tree-sha1 = "a193d6ad9c45ada72c14b731a318bedd3c2f00cf"
uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720"
version = "1.3.0"

[[Preferences]]
deps = ["TOML"]
git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.2.2"

[[PrettyTables]]
deps = ["Crayons", "Formatting", "Markdown", "Reexport", "Tables"]
git-tree-sha1 = "0d1245a357cc61c8cd61934c07447aa569ff22e6"
uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
version = "1.1.0"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "afadeba63d90ff223a6a48d2009434ecee2ec9e8"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.7.1"

[[QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "12fbe86da16df6679be7521dfb39fbc861e1dc7b"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.4.1"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[Ratios]]
deps = ["Requires"]
git-tree-sha1 = "7dff99fbc740e2f8228c6878e2aad6d7c2678098"
uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
version = "0.4.1"

[[RecipesBase]]
git-tree-sha1 = "44a75aa7a527910ee3d1751d1f0e4148698add9e"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.1.2"

[[Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "0529f4188bc8efee85a7e580aca1c7dff6b103f8"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "0.1.0"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.1.3"

[[Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.7.0"

[[Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.3.0+0"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[SIMD]]
git-tree-sha1 = "9ba33637b24341aba594a2783a502760aa0bff04"
uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
version = "3.3.1"

[[ScanByte]]
deps = ["Libdl", "SIMD"]
git-tree-sha1 = "9cc2955f2a254b18be655a4ee70bc4031b2b189e"
uuid = "7b38b023-a4d7-4c5e-8d43-3f3097f304eb"
version = "0.3.0"

[[Scratch]]
deps = ["Dates"]
git-tree-sha1 = "0b4b7f1393cff97c33891da2a0bf69c6ed241fda"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.1.0"

[[SentinelArrays]]
deps = ["Dates", "Random"]
git-tree-sha1 = "54f37736d8934a12a200edea2f9206b03bdf3159"
uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
version = "1.3.7"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[ShiftedArrays]]
git-tree-sha1 = "22395afdcf37d6709a5a0766cc4a5ca52cb85ea0"
uuid = "1277b4bf-5013-50f5-be3d-901d8477a67a"
version = "1.0.0"

[[Showoff]]
deps = ["Dates", "Grisu"]
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "1.0.3"

[[SignedDistanceFields]]
deps = ["Random", "Statistics", "Test"]
git-tree-sha1 = "d263a08ec505853a5ff1c1ebde2070419e3f28e9"
uuid = "73760f76-fbc4-59ce-8f25-708e95d2df96"
version = "0.4.0"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.0.1"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[SpecialFunctions]]
deps = ["ChainRulesCore", "LogExpFunctions", "OpenSpecFun_jll"]
git-tree-sha1 = "a322a9493e49c5f3a10b50df3aedaf1cdb3244b7"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "1.6.1"

[[StackViews]]
deps = ["OffsetArrays"]
git-tree-sha1 = "46e589465204cd0c08b4bd97385e4fa79a0c770c"
uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15"
version = "0.1.1"

[[Static]]
deps = ["IfElse"]
git-tree-sha1 = "854b024a4a81b05c0792a4b45293b85db228bd27"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "0.3.1"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "3240808c6d463ac46f1c1cd7638375cd22abbccb"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.2.12"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[StatsAPI]]
git-tree-sha1 = "1958272568dc176a1d881acb797beb909c785510"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.0.0"

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "8cbbc098554648c84f79a463c9ff0fd277144b6c"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.33.10"

[[StatsFuns]]
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "46d7ccc7104860c38b11966dd1f72ff042f382e4"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "0.9.10"

[[StatsModels]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Printf", "ShiftedArrays", "SparseArrays", "StatsBase", "StatsFuns", "Tables"]
git-tree-sha1 = "3fa15c1f8be168e76d59097f66970adc86bfeb95"
uuid = "3eaba693-59b7-5ba5-a881-562e759f1c8d"
version = "0.6.25"

[[StructArrays]]
deps = ["Adapt", "DataAPI", "StaticArrays", "Tables"]
git-tree-sha1 = "1700b86ad59348c0f9f68ddc95117071f947072d"
uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
version = "0.6.1"

[[StructTypes]]
deps = ["Dates", "UUIDs"]
git-tree-sha1 = "8445bf99a36d703a09c601f9a57e2f83000ef2ae"
uuid = "856f2bd8-1eba-4b0a-8007-ebc267875bd4"
version = "1.7.3"

[[SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[Suppressor]]
git-tree-sha1 = "a819d77f31f83e5792a76081eee1ea6342ab8787"
uuid = "fd094767-a336-5f1f-9728-57cf17d0bbfb"
version = "0.2.0"

[[TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"

[[TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
git-tree-sha1 = "368d04a820fe069f9080ff1b432147a6203c3c89"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.5.1"

[[Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"

[[TensorCore]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
version = "0.1.1"

[[Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[TimeZones]]
deps = ["Dates", "Future", "LazyArtifacts", "Mocking", "Pkg", "Printf", "RecipesBase", "Serialization", "Unicode"]
git-tree-sha1 = "6c9040665b2da00d30143261aea22c7427aada1c"
uuid = "f269a46b-ccf7-5d73-abea-4c690281aa53"
version = "1.5.7"

[[TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "216b95ea110b5972db65aa90f88d8d89dcb8851c"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.6"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "59e2ad8fd1591ea019a5259bd012d7aee15f995c"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "0.5.3"

[[XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.12+0"

[[XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.34+0"

[[Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.4+4"

[[Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.10+4"

[[Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"

[[Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "cc4bf3fdde8b7e3e9fa0351bdeedba1cf3b7f6e6"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.0+0"

[[isoband_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "a1ac99674715995a536bbce674b068ec1b7d893d"
uuid = "9a68df92-36a6-505f-a73e-abb412b6bfb4"
version = "0.2.2+0"

[[libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.1+0"

[[libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "c45f4e40e7aafe9d086379e5578947ec8b95a8fb"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+0"

[[nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"

[[p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"

[[x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"
"""

# ╔═╡ Cell order:
# ╟─f9949a62-b108-11eb-37d6-bb0790f7899a
# ╟─7faaf93e-b02a-4a5b-9c1d-2d60488f0590
# ╟─da2e5642-3188-4f0d-8a8a-402a64860366
# ╠═d2584c26-9db7-4f4e-afbc-9c1626130a16
# ╠═039bcc98-70d7-452f-9fef-785e848c6917
# ╟─b94dd394-12f9-490c-aad0-56635f1f65ea
# ╟─99969868-a8d9-4096-ae05-8025f146fbd7
# ╟─8be15f3f-1fba-4f74-aeae-1aae66ba4689
# ╟─8b697c10-f6fb-4f30-a83d-11c73c6b6e7a
# ╟─5da5bb89-b3ee-458f-b290-41ae9187548e
# ╟─5a015198-43c5-4c9e-a5b5-ae7821df1ae2
# ╟─4f6a4441-53b9-4d1e-b61a-da839f85d1a2
# ╟─8ea30194-1ad1-44bb-8185-8236aa6c86eb
# ╟─fe53bb70-b1eb-4858-98fa-2256e8399b5b
# ╟─fcbf836f-5e8e-4763-9c0f-ad9f9c3b5776
# ╟─a85ac4b0-1259-4a87-ac20-cca6a8924ba4
# ╟─f6a1e981-46b8-4db9-b871-037014b6f1de
# ╟─b053fc48-cdd9-47bc-bbeb-1263e8cb13e7
# ╠═3287c778-ce89-42e7-b6c9-44da71590b71
# ╟─701566c0-e28d-4e7f-bc45-191b533c8c2c
# ╟─b6a549f9-acff-40a1-98fd-41affd1fd3c3
# ╟─892ad822-4af3-4410-8e27-46ee175ac513
# ╟─c60759a8-729d-4c1d-84bc-718abe575144
# ╟─99a2bae0-523e-4820-b486-d400819d58c4
# ╟─8b9a2004-cd76-4c91-844a-cc280ad03846
# ╟─ccae902d-7a27-46c3-b3a9-03d9d9fb8c3c
# ╟─a6e3bf43-3047-4dcf-a278-02451db3a817
# ╟─8652fb19-6232-4c02-81c5-0c7318a58325
# ╠═540d24c7-2132-4a37-ae0d-33b7a8ee009e
# ╟─bf20a161-0d37-4e49-a7b9-e79c33cbbbe8
# ╠═ed212558-f306-4c8b-a70a-f91eaadf812c
# ╠═4c4b9ad9-3233-4548-a3a3-76329597befc
# ╠═da809fbc-131e-4bed-b221-58e1e25a67e5
# ╠═c3c315b9-eb3e-4a8e-b528-85367ff568c1
# ╠═d703bd60-37fb-4611-9f00-12ce716ed9e7
# ╟─9aba0fc3-160a-4299-8371-c82081d808f9
# ╠═dd586970-9cb9-425e-8492-af194730c371
# ╠═ddb5fb01-64d8-483d-9df0-b2f7b4b750ef
# ╟─07307417-6dd5-40ac-99f8-599b69ec237d
# ╟─930e090c-91c4-495a-9802-938dfe6aaf88
# ╟─1df986f6-d7c7-4fc1-aa6d-5ede2ece132a
# ╠═6194e117-f2ef-4c95-8d47-869d862cac8e
# ╠═c72c65ff-94c9-43d4-97e0-65e56ba9f90c
# ╠═ef79ad8d-f17f-40f2-b8f4-bfc0d4ebc906
# ╠═1e2c3e07-0c6c-4577-8cf6-c3edeac2a2b7
# ╠═63e762e3-a516-4028-9b19-def07379cee7
# ╠═78aa4721-ad0a-4974-8b0e-8dae235182ef
# ╠═12f15774-b10b-4788-a00d-54bb8cd1c148
# ╠═643fd8e5-9cb7-4083-85f5-a1976cfd9791
# ╠═b8207f1a-b3f9-4a14-af33-8f25a62cc46b
# ╠═8e386ce0-955f-4af3-9793-b23a8cb7adcb
# ╠═cc24d99b-5652-4fd2-a211-1919192d1612
# ╟─2c3967e8-9aee-49a0-913c-6636294036e3
# ╟─9a93e06e-4ec5-48cc-bc18-33d918d26506
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002