{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
" \n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Data and Statistics Packages"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Contents\n",
"\n",
"- [Data and Statistics Packages](#Data-and-Statistics-Packages) \n",
" - [Overview](#Overview) \n",
" - [DataFrames](#DataFrames) \n",
" - [Statistics and Econometrics](#Statistics-and-Econometrics) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Overview\n",
"\n",
"This lecture explores some of the key packages for working with data and doing statistics in Julia\n",
"\n",
"In particular, we will examine the `DataFrame` object in detail (i.e., construction, manipulation, querying, visualization, and nuances like missing data)\n",
"\n",
"While Julia is not an ideal language for pure cookie-cutter statistical analysis, it has many useful packages to provide those tools as part of a more general solution\n",
"\n",
"This list is not exhaustive, and others can be found in organizations such as [JuliaStats](https://github.com/JuliaStats), [JuliaData](https://github.com/JuliaData/), and [QueryVerse](https://github.com/queryverse)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setup"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"hide-output": true
},
"outputs": [],
"source": [
"using InstantiateFromURL\n",
"github_project(\"QuantEcon/quantecon-notebooks-julia\", version = \"0.4.0\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"hide-output": true
},
"outputs": [],
"source": [
"using LinearAlgebra, Statistics\n",
"using DataFrames, RDatasets, DataFramesMeta, CategoricalArrays, Query, VegaLite\n",
"using DataVoyager, GLM"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## DataFrames\n",
"\n",
"A useful package for working with data is [DataFrames.jl](https://github.com/JuliaStats/DataFrames.jl)\n",
"\n",
"The most important data type provided is a `DataFrame`, a two dimensional array for storing heterogeneous data\n",
"\n",
"Although data can be heterogeneous within a `DataFrame`, the contents of the columns must be homogeneous\n",
"(of the same type)\n",
"\n",
"This is analogous to a `data.frame` in R, a `DataFrame` in Pandas (Python) or, more loosely, a spreadsheet in Excel\n",
"\n",
"There are a few different ways to create a DataFrame"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Constructing and Accessing a DataFrame\n",
"\n",
"The first is to set up columns and construct a dataframe by assigning names"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"commod price String Float64⍰ 4 rows × 2 columns
1 crude 4.2 2 gas 11.3 3 gold 12.1 4 silver missing
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& commod & price\\\\\n",
"\t\\hline\n",
"\t& String & Float64⍰\\\\\n",
"\t\\hline\n",
"\t1 & crude & 4.2 \\\\\n",
"\t2 & gas & 11.3 \\\\\n",
"\t3 & gold & 12.1 \\\\\n",
"\t4 & silver & \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"4×2 DataFrame\n",
"│ Row │ commod │ price │\n",
"│ │ \u001b[90mString\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │\n",
"├─────┼────────┼──────────┤\n",
"│ 1 │ crude │ 4.2 │\n",
"│ 2 │ gas │ 11.3 │\n",
"│ 3 │ gold │ 12.1 │\n",
"│ 4 │ silver │ \u001b[90mmissing\u001b[39m │"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using DataFrames, RDatasets # RDatasets provides good standard data examples from R\n",
"\n",
"# note use of missing\n",
"commodities = [\"crude\", \"gas\", \"gold\", \"silver\"]\n",
"last_price = [4.2, 11.3, 12.1, missing]\n",
"df = DataFrame(commod = commodities, price = last_price)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Columns of the `DataFrame` can be accessed by name using `df.col`, as below"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"4-element Array{Union{Missing, Float64},1}:\n",
" 4.2 \n",
" 11.3 \n",
" 12.1 \n",
" missing"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.price"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the type of this array has values `Union{Missing, Float64}` since it was created with a `missing` value"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"4-element Array{String,1}:\n",
" \"crude\" \n",
" \"gas\" \n",
" \"gold\" \n",
" \"silver\""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.commod"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `DataFrames.jl` package provides a number of methods for acting on `DataFrame`’s, such as `describe`"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"variable mean min median max nunique nmissing eltype Symbol Union… Any Union… Any Union… Union… Type 2 rows × 8 columns
1 commod crude silver 4 String 2 price 9.2 4.2 11.3 12.1 1 Union{Missing, Float64}
"
],
"text/latex": [
"\\begin{tabular}{r|cccccccc}\n",
"\t& variable & mean & min & median & max & nunique & nmissing & eltype\\\\\n",
"\t\\hline\n",
"\t& Symbol & Union… & Any & Union… & Any & Union… & Union… & Type\\\\\n",
"\t\\hline\n",
"\t1 & commod & & crude & & silver & 4 & & String \\\\\n",
"\t2 & price & 9.2 & 4.2 & 11.3 & 12.1 & & 1 & Union\\{Missing, Float64\\} \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"2×8 DataFrame. Omitted printing of 1 columns\n",
"│ Row │ variable │ mean │ min │ median │ max │ nunique │ nmissing │\n",
"│ │ \u001b[90mSymbol\u001b[39m │ \u001b[90mUnion…\u001b[39m │ \u001b[90mAny\u001b[39m │ \u001b[90mUnion…\u001b[39m │ \u001b[90mAny\u001b[39m │ \u001b[90mUnion…\u001b[39m │ \u001b[90mUnion…\u001b[39m │\n",
"├─────┼──────────┼────────┼───────┼────────┼────────┼─────────┼──────────┤\n",
"│ 1 │ commod │ │ crude │ │ silver │ 4 │ │\n",
"│ 2 │ price │ 9.2 │ 4.2 │ 11.3 │ 12.1 │ │ 1 │"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"DataFrames.describe(df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"While often data will be generated all at once, or read from a file, you can add to a `DataFrame` by providing the key parameters"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"commod price String Float64⍰ 5 rows × 2 columns
1 crude 4.2 2 gas 11.3 3 gold 12.1 4 silver missing 5 nickel 5.1
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& commod & price\\\\\n",
"\t\\hline\n",
"\t& String & Float64⍰\\\\\n",
"\t\\hline\n",
"\t1 & crude & 4.2 \\\\\n",
"\t2 & gas & 11.3 \\\\\n",
"\t3 & gold & 12.1 \\\\\n",
"\t4 & silver & \\\\\n",
"\t5 & nickel & 5.1 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"5×2 DataFrame\n",
"│ Row │ commod │ price │\n",
"│ │ \u001b[90mString\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │\n",
"├─────┼────────┼──────────┤\n",
"│ 1 │ crude │ 4.2 │\n",
"│ 2 │ gas │ 11.3 │\n",
"│ 3 │ gold │ 12.1 │\n",
"│ 4 │ silver │ \u001b[90mmissing\u001b[39m │\n",
"│ 5 │ nickel │ 5.1 │"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nt = (commod = \"nickel\", price= 5.1)\n",
"push!(df, nt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Named tuples can also be used to construct a `DataFrame`, and have it properly deduce all types"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"t col1 Int64 Float64 2 rows × 2 columns
1 1 3.0 2 2 4.0
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& t & col1\\\\\n",
"\t\\hline\n",
"\t& Int64 & Float64\\\\\n",
"\t\\hline\n",
"\t1 & 1 & 3.0 \\\\\n",
"\t2 & 2 & 4.0 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"2×2 DataFrame\n",
"│ Row │ t │ col1 │\n",
"│ │ \u001b[90mInt64\u001b[39m │ \u001b[90mFloat64\u001b[39m │\n",
"├─────┼───────┼─────────┤\n",
"│ 1 │ 1 │ 3.0 │\n",
"│ 2 │ 2 │ 4.0 │"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nt = (t = 1, col1 = 3.0)\n",
"df2 = DataFrame([nt])\n",
"push!(df2, (t=2, col1 = 4.0))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In order to modify a column, access the mutating version by the symbol `df[!, :col]`"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"5-element Array{Union{Missing, Float64},1}:\n",
" 4.2 \n",
" 11.3 \n",
" 12.1 \n",
" missing\n",
" 5.1 "
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[!, :price]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Which allows modifications, like other mutating `!` functions in julia"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"5-element Array{Union{Missing, Float64},1}:\n",
" 8.4 \n",
" 22.6 \n",
" 24.2 \n",
" missing\n",
" 10.2 "
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[!, :price] *= 2.0 # double prices"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As discussed in the next section, note that the [fundamental types](https://julia.quantecon.org/../getting_started_julia/fundamental_types.html#missing), is propagated, i.e. `missing * 2 === missing`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Working with Missing\n",
"\n",
"As we discussed in [fundamental types](https://julia.quantecon.org/../getting_started_julia/fundamental_types.html#missing), the semantics of `missing` are that mathematical operations will not silently ignore it\n",
"\n",
"In order to allow `missing` in a column, you can create/load the `DataFrame`\n",
"from a source with `missing`’s, or call `allowmissing!` on a column"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"t col1 Int64 Float64⍰ 4 rows × 2 columns
1 1 3.0 2 2 4.0 3 3 missing 4 4 5.1
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& t & col1\\\\\n",
"\t\\hline\n",
"\t& Int64 & Float64⍰\\\\\n",
"\t\\hline\n",
"\t1 & 1 & 3.0 \\\\\n",
"\t2 & 2 & 4.0 \\\\\n",
"\t3 & 3 & \\\\\n",
"\t4 & 4 & 5.1 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"4×2 DataFrame\n",
"│ Row │ t │ col1 │\n",
"│ │ \u001b[90mInt64\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │\n",
"├─────┼───────┼──────────┤\n",
"│ 1 │ 1 │ 3.0 │\n",
"│ 2 │ 2 │ 4.0 │\n",
"│ 3 │ 3 │ \u001b[90mmissing\u001b[39m │\n",
"│ 4 │ 4 │ 5.1 │"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"allowmissing!(df2, :col1) # necessary to add in a for col1\n",
"push!(df2, (t=3, col1 = missing))\n",
"push!(df2, (t=4, col1 = 5.1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see the propagation of `missing` to caller functions, as well as a way to efficiently calculate with non-missing data"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"hide-output": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean(df2.col1) = missing\n",
"mean(skipmissing(df2.col1)) = "
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"4.033333333333333\n"
]
},
{
"data": {
"text/plain": [
"4.033333333333333"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"@show mean(df2.col1)\n",
"@show mean(skipmissing(df2.col1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And to replace the `missing`"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"4-element Array{Union{Missing, Float64},1}:\n",
" 3.0\n",
" 4.0\n",
" 0.0\n",
" 5.1"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df2.col1 .= coalesce.(df2.col1, 0.0) # replace all missing with 0.0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Manipulating and Transforming DataFrames\n",
"\n",
"One way to do an additional calculation with a `DataFrame` is to tuse the `@transform` macro from `DataFramesMeta.jl`"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"t col1 col2 Int64 Float64⍰ Float64 4 rows × 3 columns
1 1 3.0 9.0 2 2 4.0 16.0 3 3 0.0 0.0 4 4 5.1 26.01
"
],
"text/latex": [
"\\begin{tabular}{r|ccc}\n",
"\t& t & col1 & col2\\\\\n",
"\t\\hline\n",
"\t& Int64 & Float64⍰ & Float64\\\\\n",
"\t\\hline\n",
"\t1 & 1 & 3.0 & 9.0 \\\\\n",
"\t2 & 2 & 4.0 & 16.0 \\\\\n",
"\t3 & 3 & 0.0 & 0.0 \\\\\n",
"\t4 & 4 & 5.1 & 26.01 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"4×3 DataFrame\n",
"│ Row │ t │ col1 │ col2 │\n",
"│ │ \u001b[90mInt64\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │ \u001b[90mFloat64\u001b[39m │\n",
"├─────┼───────┼──────────┼─────────┤\n",
"│ 1 │ 1 │ 3.0 │ 9.0 │\n",
"│ 2 │ 2 │ 4.0 │ 16.0 │\n",
"│ 3 │ 3 │ 0.0 │ 0.0 │\n",
"│ 4 │ 4 │ 5.1 │ 26.01 │"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using DataFramesMeta\n",
"f(x) = x^2\n",
"df2 = @transform(df2, col2 = f.(:col1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Categorical Data\n",
"\n",
"For data that is [categorical](https://juliadata.github.io/DataFrames.jl/stable/man/categorical.html#Categorical-Data-1)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"id y Int64 Categorical… 4 rows × 2 columns
1 1 old 2 2 young 3 3 young 4 4 old
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& id & y\\\\\n",
"\t\\hline\n",
"\t& Int64 & Categorical…\\\\\n",
"\t\\hline\n",
"\t1 & 1 & old \\\\\n",
"\t2 & 2 & young \\\\\n",
"\t3 & 3 & young \\\\\n",
"\t4 & 4 & old \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"4×2 DataFrame\n",
"│ Row │ id │ y │\n",
"│ │ \u001b[90mInt64\u001b[39m │ \u001b[90mCategorical…\u001b[39m │\n",
"├─────┼───────┼──────────────┤\n",
"│ 1 │ 1 │ old │\n",
"│ 2 │ 2 │ young │\n",
"│ 3 │ 3 │ young │\n",
"│ 4 │ 4 │ old │"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using CategoricalArrays\n",
"id = [1, 2, 3, 4]\n",
"y = [\"old\", \"young\", \"young\", \"old\"]\n",
"y = CategoricalArray(y)\n",
"df = DataFrame(id=id, y=y)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"2-element Array{String,1}:\n",
" \"old\" \n",
" \"young\""
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"levels(df.y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualization, Querying, and Plots\n",
"\n",
"The `DataFrame` (and similar types that fulfill a standard generic interface) can fit into a variety of packages\n",
"\n",
"One set of them is the [QueryVerse](https://github.com/queryverse)\n",
"\n",
"**Note:** The QueryVerse, in the same spirit as R’s tidyverse, makes heavy use of the pipeline syntax `|>`"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"hide-output": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"g(f(x)) = 2.1972245773362196\n",
"(x |> f) |> g = "
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.1972245773362196\n"
]
}
],
"source": [
"x = 3.0\n",
"f(x) = x^2\n",
"g(x) = log(x)\n",
"\n",
"@show g(f(x))\n",
"@show x |> f |> g; # pipes nest function calls"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To give an example directly from the source of the LINQ inspired [Query.jl](http://www.queryverse.org/Query.jl/stable/)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/html": [
"name children String Int64 1 rows × 2 columns
1 Kirk 2
"
],
"text/latex": [
"\\begin{tabular}{r|cc}\n",
"\t& name & children\\\\\n",
"\t\\hline\n",
"\t& String & Int64\\\\\n",
"\t\\hline\n",
"\t1 & Kirk & 2 \\\\\n",
"\\end{tabular}\n"
],
"text/plain": [
"1×2 DataFrame\n",
"│ Row │ name │ children │\n",
"│ │ \u001b[90mString\u001b[39m │ \u001b[90mInt64\u001b[39m │\n",
"├─────┼────────┼──────────┤\n",
"│ 1 │ Kirk │ 2 │"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using Query\n",
"\n",
"df = DataFrame(name=[\"John\", \"Sally\", \"Kirk\"], age=[23., 42., 59.], children=[3,5,2])\n",
"\n",
"x = @from i in df begin\n",
" @where i.age>50\n",
" @select {i.name, i.children}\n",
" @collect DataFrame\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"While it is possible to just use the `Plots.jl` library, there may be better options for displaying tabular data – such as [VegaLite.jl](https://github.com/queryverse/VegaLite.jl)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"application/vnd.vegalite.v3+json": {
"data": {
"values": [
{
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},
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},
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},
{
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},
{
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},
{
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}
]
},
"encoding": {
"color": {
"field": "Species",
"type": "nominal"
},
"x": {
"field": "PetalLength",
"type": "quantitative"
},
"y": {
"field": "PetalWidth",
"type": "quantitative"
}
},
"mark": "point"
},
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",
"image/svg+xml": [
"setosa versicolor virginica Species 0 1 2 3 4 5 6 7 PetalLength 0.0 0.5 1.0 1.5 2.0 2.5 PetalWidth "
],
"text/plain": [
"VegaLite.VLSpec{:plot}"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using RDatasets, VegaLite\n",
"iris = dataset(\"datasets\", \"iris\")\n",
"\n",
"iris |> @vlplot(\n",
" :point,\n",
" x=:PetalLength,\n",
" y=:PetalWidth,\n",
" color=:Species\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another useful tool for exploring tabular data is [DataVoyager.jl](https://github.com/queryverse/DataVoyager.jl)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hide-output": false
},
"source": [
"```julia\n",
"using DataVoyager\n",
"iris |> Voyager()\n",
"```\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `Voyager()` function creates a separate window for analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Statistics and Econometrics\n",
"\n",
"While Julia is not intended as a replacement for R, Stata, and similar specialty languages, it has a growing number of packages aimed at statistics and econometrics\n",
"\n",
"Many of the packages live in the [JuliaStats organization](https://github.com/JuliaStats/)\n",
"\n",
"A few to point out\n",
"\n",
"- [StatsBase](https://github.com/JuliaStats/StatsBase.jl) has basic statistical functions such as geometric and harmonic means, auto-correlations, robust statistics, etc. \n",
"- [StatsFuns](https://github.com/JuliaStats/StatsFuns.jl) has a variety of mathematical functions and constants such as pdf and cdf of many distributions, softmax, etc. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### General Linear Models\n",
"\n",
"To run linear regressions and similar statistics, use the [GLM](http://juliastats.github.io/GLM.jl/latest/) package"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"text/plain": [
"StatsModels.TableRegressionModel{LinearModel{GLM.LmResp{Array{Float64,1}},GLM.DensePredChol{Float64,Cholesky{Float64,Array{Float64,2}}}},Array{Float64,2}}\n",
"\n",
"y ~ 1 + x\n",
"\n",
"Coefficients:\n",
"──────────────────────────────────────────────────────────────────────────\n",
" Estimate Std. Error t value Pr(>|t|) Lower 95% Upper 95%\n",
"──────────────────────────────────────────────────────────────────────────\n",
"(Intercept) 0.259715 0.0152849 16.9916 <1e-30 0.229383 0.290047\n",
"x 0.898276 0.0154944 57.9743 <1e-76 0.867528 0.929024\n",
"──────────────────────────────────────────────────────────────────────────"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using GLM\n",
"\n",
"x = randn(100)\n",
"y = 0.9 .* x + 0.5 * rand(100)\n",
"df = DataFrame(x=x, y=y)\n",
"ols = lm(@formula(y ~ x), df) # R-style notation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To display the results in a useful tables for LaTeX and the REPL, use\n",
"[RegressionTables](https://github.com/jmboehm/RegressionTables.jl/) for output\n",
"similar to the Stata package esttab and the R package stargazer"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"hide-output": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"----------------------\n",
" y \n",
" --------\n",
" (1)\n",
"----------------------\n",
"(Intercept) 0.260***\n",
" (0.015)\n",
"x 0.898***\n",
" (0.015)\n",
"----------------------\n",
"Estimator OLS\n",
"----------------------\n",
"N 100\n",
"R2 0.972\n",
"----------------------\n",
"\n",
"\n"
]
}
],
"source": [
"using RegressionTables\n",
"regtable(ols)\n",
"# regtable(ols, renderSettings = latexOutput()) # for LaTex output"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fixed Effects\n",
"\n",
"While Julia may be overkill for estimating a simple linear regression,\n",
"fixed-effects estimation with dummies for multiple variables are much more computationally intensive\n",
"\n",
"For a 2-way fixed-effect, taking the example directly from the documentation using [cigarette consumption data](https://github.com/johnmyleswhite/RDatasets.jl/blob/master/doc/plm/rst/Cigar.rst)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"hide-output": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"----------------------------\n",
" Sales \n",
" ---------\n",
" (1)\n",
"----------------------------\n",
"NDI -0.005***\n",
" (0.001)\n",
"----------------------------\n",
"StateCategorical Yes\n",
"YearCategorical Yes\n",
"----------------------------\n",
"Estimator OLS\n",
"----------------------------\n",
"N 1,380\n",
"R2 -81.575\n",
"----------------------------\n",
"\n",
"\n"
]
}
],
"source": [
"using FixedEffectModels\n",
"cigar = dataset(\"plm\", \"Cigar\")\n",
"cigar.StateCategorical = categorical(cigar.State)\n",
"cigar.YearCategorical = categorical(cigar.Year)\n",
"fixedeffectresults = reg(cigar, @model(Sales ~ NDI, fe = StateCategorical + YearCategorical,\n",
" weights = Pop, vcov = cluster(StateCategorical)))\n",
"regtable(fixedeffectresults)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To explore data use the interactive DataVoyager and VegaLite"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"hide-output": false
},
"outputs": [
{
"data": {
"application/vnd.vegalite.v3+json": {
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",
"image/svg+xml": [
"70 80 90 Year 5,000 10,000 15,000 20,000 NDI 0 50 100 150 200 Price 0 50 100 150 200 250 300 Sales "
],
"text/plain": [
"VegaLite.VLSpec{:plot}"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cigar = dataset(\"plm\", \"Cigar\")\n",
"# cigar |> Voyager()\n",
"\n",
"cigar |> @vlplot(\n",
" :point,\n",
" x=:Price,\n",
" y=:Sales,\n",
" color=:Year,\n",
" size=:NDI\n",
")"
]
}
],
"metadata": {
"date": 1570707168.5819786,
"download_nb": 1,
"download_nb_path": "https://julia.quantecon.org/",
"filename": "data_statistical_packages.rst",
"filename_with_path": "more_julia/data_statistical_packages",
"kernelspec": {
"display_name": "Julia 1.2.0",
"language": "julia",
"name": "julia-1.2"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.2.0"
},
"title": "Data and Statistics Packages"
},
"nbformat": 4,
"nbformat_minor": 2
}