{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gender Guessing Methods\n",
    "\n",
    "Now that we've got our author data set and inferences for genders, it's time to do some exploratory data analysis. I'm going to do this in [julia](http://julialang.org). I made two functions - `importauthors()` and `getgenderprob()` that take the csv fils from `write_names_to_file` found in [xml parsing](xml_parsing.py) and create julia `DataFrames`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition importauthors(String, String) in module Main at /Users/ksb/computation/science/gender-comp-bio/src/dataimport.jl:5 overwritten at /Users/ksb/computation/science/gender-comp-bio/src/dataimport.jl:5.\n",
      "WARNING: Method definition getgenderprob(DataFrames.DataFrame, String, Symbol) in module Main at /Users/ksb/computation/science/gender-comp-bio/src/dataimport.jl:14 overwritten at /Users/ksb/computation/science/gender-comp-bio/src/dataimport.jl:14.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "getgenderprob (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"../src/dataimport.jl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"data-frame\"><thead><tr><th></th><th>ID</th><th>Date</th><th>Journal</th><th>Author_First_Name</th><th>Author_Last_Name</th><th>Author_Initials</th><th>Position</th><th>Title</th><th>Dataset</th></tr></thead><tbody><tr><th>1</th><td>26605382</td><td>2015-11-24</td><td>IEEE/ACM Trans Comput Biol Bioinform</td><td>Yufei</td><td>Huang</td><td>NA</td><td>first</td><td>Selected Articles from the 2012 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS 2012).</td><td>comp</td></tr><tr><th>2</th><td>26605382</td><td>2015-11-24</td><td>IEEE/ACM Trans Comput Biol Bioinform</td><td>Xiaoning</td><td>Qian</td><td>NA</td><td>last</td><td>Selected Articles from the 2012 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS 2012).</td><td>comp</td></tr><tr><th>3</th><td>26605382</td><td>2015-11-24</td><td>IEEE/ACM Trans Comput Biol Bioinform</td><td>Yidong</td><td>Chen</td><td>NA</td><td>second</td><td>Selected Articles from the 2012 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS 2012).</td><td>comp</td></tr><tr><th>4</th><td>26357062</td><td>2015-09-11</td><td>IEEE/ACM Trans Comput Biol Bioinform</td><td>Haiying</td><td>Wang</td><td>NA</td><td>first</td><td>Organized Modularity in the Interactome: Evidence from the Analysis of Dynamic Organization in the Cell Cycle.</td><td>comp</td></tr><tr><th>5</th><td>26357062</td><td>2015-09-11</td><td>IEEE/ACM Trans Comput Biol Bioinform</td><td>Huiru</td><td>Zheng</td><td>NA</td><td>last</td><td>Organized Modularity in the Interactome: Evidence from the Analysis of Dynamic Organization in the Cell Cycle.</td><td>comp</td></tr></tbody></table>"
      ],
      "text/plain": [
       "5×9 DataFrames.DataFrame\n",
       "│ Row │ ID       │ Date       │ Journal                                │\n",
       "├─────┼──────────┼────────────┼────────────────────────────────────────┤\n",
       "│ 1   │ 26605382 │ 2015-11-24 │ \"IEEE/ACM Trans Comput Biol Bioinform\" │\n",
       "│ 2   │ 26605382 │ 2015-11-24 │ \"IEEE/ACM Trans Comput Biol Bioinform\" │\n",
       "│ 3   │ 26605382 │ 2015-11-24 │ \"IEEE/ACM Trans Comput Biol Bioinform\" │\n",
       "│ 4   │ 26357062 │ 2015-09-11 │ \"IEEE/ACM Trans Comput Biol Bioinform\" │\n",
       "│ 5   │ 26357062 │ 2015-09-11 │ \"IEEE/ACM Trans Comput Biol Bioinform\" │\n",
       "\n",
       "│ Row │ Author_First_Name │ Author_Last_Name │ Author_Initials │ Position │\n",
       "├─────┼───────────────────┼──────────────────┼─────────────────┼──────────┤\n",
       "│ 1   │ \"Yufei\"           │ \"Huang\"          │ NA              │ \"first\"  │\n",
       "│ 2   │ \"Xiaoning\"        │ \"Qian\"           │ NA              │ \"last\"   │\n",
       "│ 3   │ \"Yidong\"          │ \"Chen\"           │ NA              │ \"second\" │\n",
       "│ 4   │ \"Haiying\"         │ \"Wang\"           │ NA              │ \"first\"  │\n",
       "│ 5   │ \"Huiru\"           │ \"Zheng\"          │ NA              │ \"last\"   │\n",
       "\n",
       "│ Row │ Title                                                                                                                     │\n",
       "├─────┼───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤\n",
       "│ 1   │ \"Selected Articles from the 2012 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS 2012).\" │\n",
       "│ 2   │ \"Selected Articles from the 2012 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS 2012).\" │\n",
       "│ 3   │ \"Selected Articles from the 2012 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS 2012).\" │\n",
       "│ 4   │ \"Organized Modularity in the Interactome: Evidence from the Analysis of Dynamic Organization in the Cell Cycle.\"          │\n",
       "│ 5   │ \"Organized Modularity in the Interactome: Evidence from the Analysis of Dynamic Organization in the Cell Cycle.\"          │\n",
       "\n",
       "│ Row │ Dataset │\n",
       "├─────┼─────────┤\n",
       "│ 1   │ \"comp\"  │\n",
       "│ 2   │ \"comp\"  │\n",
       "│ 3   │ \"comp\"  │\n",
       "│ 4   │ \"comp\"  │\n",
       "│ 5   │ \"comp\"  │"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using DataFrames\n",
    "\n",
    "bio = importauthors(\"../data/pubdata/bio.csv\", \"bio\")\n",
    "comp = importauthors(\"../data/pubdata/comp.csv\", \"comp\")\n",
    "\n",
    "comp[1:5, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's combine all the data - we can subset it again later. I'm also going to clear the `bio` and `comp` variables to free up some memory.\n",
    "\n",
    "We'll also use the `getgenderprob()` function to add columns for the probability that the author is female (`P`) using the different apis and the number of times that name showed up in the respective database, which gives us some sense of how certain we can be in the result (`Count`).\n",
    "\n",
    "Finally, we'll use `pool!`, which makes the represenation of factored data (data that has distinct rather than continuous values) a bit more efficient in memory (and will make queries faster later on)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "alldata = vcat(bio, comp)\n",
    "bio = 0\n",
    "comp = 0\n",
    "\n",
    "alldata[:izeP], alldata[:izeCount] = getgenderprob(\n",
    "    alldata, \"../data/genders/genderize_genders.json\", :Author_First_Name)\n",
    "alldata[:apiP], alldata[:apiCount] = getgenderprob(\n",
    "    alldata, \"../data/genders/genderAPI_genders.json\", :Author_First_Name)\n",
    "\n",
    "pool!(alldata)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In julia, we can [subset our dataframes](http://dataframesjl.readthedocs.io/en/latest/subsets.html) pretty easily. For example, we can pull back out rows for our different datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"data-frame\"><thead><tr><th></th><th>ID</th><th>Date</th><th>Journal</th><th>Author_First_Name</th><th>Author_Last_Name</th><th>Author_Initials</th><th>Position</th><th>Title</th><th>Dataset</th><th>izeP</th><th>izeCount</th><th>apiP</th><th>apiCount</th></tr></thead><tbody><tr><th>1</th><td>26466425</td><td>2015-10-15</td><td>Southeast Asian J. Trop. Med. Public Health</td><td>Suwit</td><td>Chotinun</td><td>NA</td><td>first</td><td>PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.</td><td>bio</td><td>0.0</td><td>2</td><td>0.020000000000000018</td><td>306</td></tr><tr><th>2</th><td>26466425</td><td>2015-10-15</td><td>Southeast Asian J. Trop. Med. Public Health</td><td>Prapas</td><td>Patchanee</td><td>NA</td><td>last</td><td>PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.</td><td>bio</td><td>0.0</td><td>1</td><td>0.030000000000000027</td><td>58</td></tr><tr><th>3</th><td>26466425</td><td>2015-10-15</td><td>Southeast Asian J. Trop. Med. Public Health</td><td>Suvichai</td><td>Rojanasthien</td><td>NA</td><td>second</td><td>PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.</td><td>bio</td><td>NA</td><td>0</td><td>NA</td><td>0</td></tr><tr><th>4</th><td>26466425</td><td>2015-10-15</td><td>Southeast Asian J. Trop. Med. Public Health</td><td>Pakpoom</td><td>Tadee</td><td>NA</td><td>penultimate</td><td>PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.</td><td>bio</td><td>0.0</td><td>1</td><td>0.020000000000000018</td><td>116</td></tr><tr><th>5</th><td>26466425</td><td>2015-10-15</td><td>Southeast Asian J. Trop. Med. Public Health</td><td>Fred</td><td>Unger</td><td>NA</td><td>other</td><td>PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.</td><td>bio</td><td>0.020000000000000018</td><td>966</td><td>0.040000000000000036</td><td>49394</td></tr></tbody></table>"
      ],
      "text/plain": [
       "5×13 DataFrames.DataFrame\n",
       "│ Row │ ID       │ Date       │ Journal                                       │\n",
       "├─────┼──────────┼────────────┼───────────────────────────────────────────────┤\n",
       "│ 1   │ 26466425 │ 2015-10-15 │ \"Southeast Asian J. Trop. Med. Public Health\" │\n",
       "│ 2   │ 26466425 │ 2015-10-15 │ \"Southeast Asian J. Trop. Med. Public Health\" │\n",
       "│ 3   │ 26466425 │ 2015-10-15 │ \"Southeast Asian J. Trop. Med. Public Health\" │\n",
       "│ 4   │ 26466425 │ 2015-10-15 │ \"Southeast Asian J. Trop. Med. Public Health\" │\n",
       "│ 5   │ 26466425 │ 2015-10-15 │ \"Southeast Asian J. Trop. Med. Public Health\" │\n",
       "\n",
       "│ Row │ Author_First_Name │ Author_Last_Name │ Author_Initials │ Position      │\n",
       "├─────┼───────────────────┼──────────────────┼─────────────────┼───────────────┤\n",
       "│ 1   │ \"Suwit\"           │ \"Chotinun\"       │ NA              │ \"first\"       │\n",
       "│ 2   │ \"Prapas\"          │ \"Patchanee\"      │ NA              │ \"last\"        │\n",
       "│ 3   │ \"Suvichai\"        │ \"Rojanasthien\"   │ NA              │ \"second\"      │\n",
       "│ 4   │ \"Pakpoom\"         │ \"Tadee\"          │ NA              │ \"penultimate\" │\n",
       "│ 5   │ \"Fred\"            │ \"Unger\"          │ NA              │ \"other\"       │\n",
       "\n",
       "│ Row │ Title                                                                                                                                                                                   │\n",
       "├─────┼─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────┤\n",
       "│ 1   │ \"PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.\" │\n",
       "│ 2   │ \"PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.\" │\n",
       "│ 3   │ \"PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.\" │\n",
       "│ 4   │ \"PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.\" │\n",
       "│ 5   │ \"PREVALENCE AND ANTIMICROBIAL RESISTANCE OF SALMONELLA ISOLATED FROM CARCASSES, PROCESSING FACILITIES AND THE ENVIRONMENT SURROUNDING SMALL SCALE POULTRY SLAUGHTERHOUSES IN THAILAND.\" │\n",
       "\n",
       "│ Row │ Dataset │ izeP │ izeCount │ apiP │ apiCount │\n",
       "├─────┼─────────┼──────┼──────────┼──────┼──────────┤\n",
       "│ 1   │ \"bio\"   │ 0.0  │ 2        │ 0.02 │ 306      │\n",
       "│ 2   │ \"bio\"   │ 0.0  │ 1        │ 0.03 │ 58       │\n",
       "│ 3   │ \"bio\"   │ NA   │ 0        │ NA   │ 0        │\n",
       "│ 4   │ \"bio\"   │ 0.0  │ 1        │ 0.02 │ 116      │\n",
       "│ 5   │ \"bio\"   │ 0.02 │ 966      │ 0.04 │ 49394    │"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alldata = alldata[!isna(alldata[:Journal]), :] # remove rows where there's no Journal\n",
    "\n",
    "biodata = alldata[alldata[:Dataset] .== \"bio\", :] # get all columns for rows where the Dataset column is \"bio\"\n",
    "compdata = alldata[alldata[:Dataset] .== \"comp\", :]\n",
    "\n",
    "biodata[1:5, :] # get the first 5 rows, and all columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we're going to use the plotting package [`Plots`](https://juliaplots.github.io/), which allows us to use different plotting backends to take a look. First, we need to reshape the data a little bit to make it easier to plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"data-frame\"><thead><tr><th></th><th>Dataset</th><th>MeanPF</th><th>method</th></tr></thead><tbody><tr><th>1</th><td>bio</td><td>0.35246780033729036</td><td>genderize</td></tr><tr><th>2</th><td>comp</td><td>0.3191075321651934</td><td>genderize</td></tr><tr><th>3</th><td>bio</td><td>0.34048754243415824</td><td>genderAPI</td></tr><tr><th>4</th><td>comp</td><td>0.29633429724211385</td><td>genderAPI</td></tr></tbody></table>"
      ],
      "text/plain": [
       "4×3 DataFrames.DataFrame\n",
       "│ Row │ Dataset │ MeanPF   │ method      │\n",
       "├─────┼─────────┼──────────┼─────────────┤\n",
       "│ 1   │ \"bio\"   │ 0.352468 │ \"genderize\" │\n",
       "│ 2   │ \"comp\"  │ 0.319108 │ \"genderize\" │\n",
       "│ 3   │ \"bio\"   │ 0.340488 │ \"genderAPI\" │\n",
       "│ 4   │ \"comp\"  │ 0.296334 │ \"genderAPI\" │"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using StatPlots\n",
    "gr()\n",
    "\n",
    "izemeans = by(alldata, [:Dataset], df -> DataFrame(MeanPF = mean(dropna(df[:izeP]))))\n",
    "apimeans = by(alldata, [:Dataset], df -> DataFrame(MeanPF = mean(dropna(df[:apiP]))))\n",
    "\n",
    "izemeans[:method] = \"genderize\"\n",
    "apimeans[:method] = \"genderAPI\"\n",
    "\n",
    "allmeans = vcat(izemeans, apimeans)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The rather complicated expression below makes an ndarray that can be passed to \"groupedbar\" to make the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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   "source": [
    "ys = hcat([allmeans[allmeans[:Dataset] .== x, :MeanPF] for x in levels(allmeans[:Dataset])]...)\n",
    "\n",
    "groupedbar(ys, bar_position=:dodge, \n",
    "    ylims=(0,1), xticks=([1,2],[\"genderize\", \"genderAPI\"]),\n",
    "            lab=[\"Bio\", \"comp\"],\n",
    "            xlabel=\"Gender Calling Method\",\n",
    "            ylabel=\"Percent Female\",\n",
    "            title=\"Proportion of Female Authors\")"
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  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
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      "text/plain": [
       "10×3 DataFrames.DataFrame\n",
       "│ Row │ Position      │ Dataset │ x1       │\n",
       "├─────┼───────────────┼─────────┼──────────┤\n",
       "│ 1   │ \"first\"       │ \"bio\"   │ 0.375575 │\n",
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   "source": [
    "genderize_byposition = by(alldata, [:Position, :Dataset], df -> mean(dropna(df[:izeP])))\n",
    "genderapi_byposition = by(alldata, [:Position, :Dataset], df -> mean(dropna(df[:apiP])))"
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  {
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   "source": [
    "ys = hcat([genderize_byposition[genderize_byposition[:Dataset] .== x, :x1] for x in levels(genderize_byposition[:Dataset])]...)\n",
    "\n",
    "groupedbar(ys, bar_position=:dodge, \n",
    "            ylims=(0,0.6), xticks=(1:5,levels(genderize_byposition[:Position])),\n",
    "            lab=levels(genderize_byposition[:Dataset]),\n",
    "            xlabel=\"Author Position\",\n",
    "            ylabel=\"Percent Female\",\n",
    "            title=\"By Position, Genderize.io\")"
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   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
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     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ys = hcat([genderapi_byposition[genderapi_byposition[:Dataset] .== x, :x1] for x in levels(genderapi_byposition[:Dataset])]...)\n",
    "\n",
    "groupedbar(ys, bar_position=:dodge, \n",
    "            ylims=(0,0.6), xticks=(1:5,levels(genderapi_byposition[:Position])),\n",
    "            lab=levels(genderapi_byposition[:Dataset]),\n",
    "            xlabel=\"Author Position\",\n",
    "            ylabel=\"Percent Female\",\n",
    "            title=\"By Position, GenderAPI\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The good news:\n",
    "- both of the gender inferences look pretty similar.\n",
    "- this recapitulates previously published data that:\n",
    "    - Women are less likely to be authors than men\n",
    "    - Women are less likely to be first authors than second authors\n",
    "    - Women are less likely to be last authors than first authors\n",
    "    \n",
    "The bad news - this recapitulates previously published data that women are under-represented in biology publishing. \n",
    "\n",
    "New finding: It seems to be worse in computational biology than in all of biology, though not by as much as I expected. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Methods discrepancies\n",
    "\n",
    "Using genderize, it looks like women are better represented than when using genderAPI. Which one is better? \n",
    "\n",
    "A couple of things to consider:\n",
    "1. how many names of our names can the service guess? \n",
    "2. what proportion of authors can the service guess (this is a different question)\n",
    "3. for names that can be guessed, how certain can we be that the gender assignment is correct?\n",
    "\n",
    "To do this, we'll start by reshaping our dataframe to show the stats for each name, including the number of times they show up."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"data-frame\"><thead><tr><th></th><th>Author_First_Name</th><th>izeP</th><th>apiP</th><th>izeCount</th><th>apiCount</th><th>Frequency</th></tr></thead><tbody><tr><th>1</th><td>'Azlin</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>1</td></tr><tr><th>2</th><td>A</td><td>0.41000000000000003</td><td>NA</td><td>56.0</td><td>0.0</td><td>18676</td></tr><tr><th>3</th><td>A-A</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>1</td></tr><tr><th>4</th><td>A-B</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>5</td></tr><tr><th>5</th><td>A-C</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>15</td></tr></tbody></table>"
      ],
      "text/plain": [
       "5×6 DataFrames.DataFrame\n",
       "│ Row │ Author_First_Name │ izeP │ apiP │ izeCount │ apiCount │ Frequency │\n",
       "├─────┼───────────────────┼──────┼──────┼──────────┼──────────┼───────────┤\n",
       "│ 1   │ \"'Azlin\"          │ NA   │ NA   │ 0.0      │ 0.0      │ 1         │\n",
       "│ 2   │ \"A\"               │ 0.41 │ NA   │ 56.0     │ 0.0      │ 18676     │\n",
       "│ 3   │ \"A-A\"             │ NA   │ NA   │ 0.0      │ 0.0      │ 1         │\n",
       "│ 4   │ \"A-B\"             │ NA   │ NA   │ 0.0      │ 0.0      │ 5         │\n",
       "│ 5   │ \"A-C\"             │ NA   │ NA   │ 0.0      │ 0.0      │ 15        │"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "names = by(biodata, [:Author_First_Name, :izeP, :apiP], df -> DataFrame(\n",
    "                                                    izeCount = mean(df[:izeCount]), \n",
    "                                                    apiCount = mean(df[:apiCount]),\n",
    "                                                    Frequency = length(df[:izeCount])\n",
    "                                                    )\n",
    "            )\n",
    "\n",
    "names[1:5, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One difference that's immediately apparent is that Genderize has guesses for initials, while genderAPI doesn't."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"data-frame\"><thead><tr><th></th><th>Author_First_Name</th><th>izeP</th><th>apiP</th><th>izeCount</th><th>apiCount</th><th>Frequency</th></tr></thead><tbody><tr><th>1</th><td>A</td><td>0.41000000000000003</td><td>NA</td><td>56.0</td><td>0.0</td><td>18676</td></tr><tr><th>2</th><td>B</td><td>0.35</td><td>NA</td><td>40.0</td><td>0.0</td><td>6719</td></tr><tr><th>3</th><td>C</td><td>0.26</td><td>NA</td><td>27.0</td><td>0.0</td><td>12175</td></tr><tr><th>4</th><td>D</td><td>0.20999999999999996</td><td>NA</td><td>43.0</td><td>0.0</td><td>10180</td></tr><tr><th>5</th><td>E</td><td>0.14</td><td>NA</td><td>21.0</td><td>0.0</td><td>7615</td></tr><tr><th>6</th><td>F</td><td>0.32999999999999996</td><td>NA</td><td>6.0</td><td>0.0</td><td>6046</td></tr><tr><th>7</th><td>G</td><td>0.17000000000000004</td><td>NA</td><td>23.0</td><td>0.0</td><td>8221</td></tr><tr><th>8</th><td>H</td><td>0.15000000000000002</td><td>NA</td><td>13.0</td><td>0.0</td><td>7365</td></tr><tr><th>9</th><td>I</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>3682</td></tr><tr><th>10</th><td>J</td><td>0.17000000000000004</td><td>NA</td><td>122.0</td><td>0.0</td><td>20916</td></tr><tr><th>11</th><td>K</td><td>0.37</td><td>NA</td><td>49.0</td><td>0.0</td><td>8427</td></tr><tr><th>12</th><td>L</td><td>0.58</td><td>NA</td><td>24.0</td><td>0.0</td><td>8543</td></tr><tr><th>13</th><td>M</td><td>0.26</td><td>NA</td><td>158.0</td><td>0.0</td><td>24032</td></tr><tr><th>14</th><td>N</td><td>0.43999999999999995</td><td>NA</td><td>9.0</td><td>0.0</td><td>5327</td></tr><tr><th>15</th><td>O</td><td>0.10999999999999999</td><td>NA</td><td>9.0</td><td>0.0</td><td>1690</td></tr><tr><th>16</th><td>P</td><td>0.32999999999999996</td><td>NA</td><td>6.0</td><td>0.0</td><td>9894</td></tr><tr><th>17</th><td>Q</td><td>0.0</td><td>NA</td><td>1.0</td><td>0.0</td><td>394</td></tr><tr><th>18</th><td>R</td><td>0.20999999999999996</td><td>NA</td><td>42.0</td><td>0.0</td><td>12106</td></tr><tr><th>19</th><td>S</td><td>0.32999999999999996</td><td>NA</td><td>42.0</td><td>0.0</td><td>15745</td></tr><tr><th>20</th><td>T</td><td>0.12</td><td>NA</td><td>73.0</td><td>0.0</td><td>7693</td></tr><tr><th>21</th><td>U</td><td>0.5</td><td>NA</td><td>2.0</td><td>0.0</td><td>752</td></tr><tr><th>22</th><td>V</td><td>0.75</td><td>NA</td><td>4.0</td><td>0.0</td><td>3662</td></tr><tr><th>23</th><td>W</td><td>0.29000000000000004</td><td>NA</td><td>7.0</td><td>0.0</td><td>4169</td></tr><tr><th>24</th><td>X</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>1147</td></tr><tr><th>25</th><td>Y</td><td>NA</td><td>NA</td><td>0.0</td><td>0.0</td><td>3854</td></tr><tr><th>26</th><td>Z</td><td>0.4</td><td>NA</td><td>5.0</td><td>0.0</td><td>1283</td></tr></tbody></table>"
      ],
      "text/plain": [
       "26×6 DataFrames.DataFrame\n",
       "│ Row │ Author_First_Name │ izeP │ apiP │ izeCount │ apiCount │ Frequency │\n",
       "├─────┼───────────────────┼──────┼──────┼──────────┼──────────┼───────────┤\n",
       "│ 1   │ \"A\"               │ 0.41 │ NA   │ 56.0     │ 0.0      │ 18676     │\n",
       "│ 2   │ \"B\"               │ 0.35 │ NA   │ 40.0     │ 0.0      │ 6719      │\n",
       "│ 3   │ \"C\"               │ 0.26 │ NA   │ 27.0     │ 0.0      │ 12175     │\n",
       "│ 4   │ \"D\"               │ 0.21 │ NA   │ 43.0     │ 0.0      │ 10180     │\n",
       "│ 5   │ \"E\"               │ 0.14 │ NA   │ 21.0     │ 0.0      │ 7615      │\n",
       "│ 6   │ \"F\"               │ 0.33 │ NA   │ 6.0      │ 0.0      │ 6046      │\n",
       "│ 7   │ \"G\"               │ 0.17 │ NA   │ 23.0     │ 0.0      │ 8221      │\n",
       "│ 8   │ \"H\"               │ 0.15 │ NA   │ 13.0     │ 0.0      │ 7365      │\n",
       "│ 9   │ \"I\"               │ NA   │ NA   │ 0.0      │ 0.0      │ 3682      │\n",
       "│ 10  │ \"J\"               │ 0.17 │ NA   │ 122.0    │ 0.0      │ 20916     │\n",
       "│ 11  │ \"K\"               │ 0.37 │ NA   │ 49.0     │ 0.0      │ 8427      │\n",
       "⋮\n",
       "│ 15  │ \"O\"               │ 0.11 │ NA   │ 9.0      │ 0.0      │ 1690      │\n",
       "│ 16  │ \"P\"               │ 0.33 │ NA   │ 6.0      │ 0.0      │ 9894      │\n",
       "│ 17  │ \"Q\"               │ 0.0  │ NA   │ 1.0      │ 0.0      │ 394       │\n",
       "│ 18  │ \"R\"               │ 0.21 │ NA   │ 42.0     │ 0.0      │ 12106     │\n",
       "│ 19  │ \"S\"               │ 0.33 │ NA   │ 42.0     │ 0.0      │ 15745     │\n",
       "│ 20  │ \"T\"               │ 0.12 │ NA   │ 73.0     │ 0.0      │ 7693      │\n",
       "│ 21  │ \"U\"               │ 0.5  │ NA   │ 2.0      │ 0.0      │ 752       │\n",
       "│ 22  │ \"V\"               │ 0.75 │ NA   │ 4.0      │ 0.0      │ 3662      │\n",
       "│ 23  │ \"W\"               │ 0.29 │ NA   │ 7.0      │ 0.0      │ 4169      │\n",
       "│ 24  │ \"X\"               │ NA   │ NA   │ 0.0      │ 0.0      │ 1147      │\n",
       "│ 25  │ \"Y\"               │ NA   │ NA   │ 0.0      │ 0.0      │ 3854      │\n",
       "│ 26  │ \"Z\"               │ 0.4  │ NA   │ 5.0      │ 0.0      │ 1283      │"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "initials = names[map(x->length(x), names[:Author_First_Name]) .== 1, :]\n",
    "\n",
    "initials[1:26, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another thing that you might have noticed is that there are *a lot* of names that come through as initials, so this might make a pretty significant difference."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gender-API:   0.5701339901214076\n",
      "Genderize.io: 0.3754802093511987\n"
     ]
    }
   ],
   "source": [
    "# 1. how many of our names can the service guess?\n",
    "\n",
    "println(\"Gender-API:   $(length(names[names[:apiCount] .!= 0, :Author_First_Name]) / length(names[:Author_First_Name]))\")\n",
    "println(\"Genderize.io: $(length(names[names[:izeCount] .!= 0, :Author_First_Name]) / length(names[:Author_First_Name]))\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So it looks like GenderAPI can guess lot more of the **unique** names, but this doesn't take into consideration how many times each name shows up. Maybe Genderize has a lot more of the more frequent names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gender-API:   0.7339417358360227\n",
      "Genderize.io: 0.8704293357223296\n"
     ]
    }
   ],
   "source": [
    "# 2. what proportion of authors can the service guess (this is a different question)\n",
    "\n",
    "println(\"Gender-API:   $(length(biodata[biodata[:apiCount] .!= 0, :Author_First_Name]) / length(biodata[:Author_First_Name]))\")\n",
    "println(\"Genderize.io: $(length(biodata[biodata[:izeCount] .!= 0, :Author_First_Name]) / length(biodata[:Author_First_Name]))\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here it seems that genderize has the upperhand. Then again, remember all of those names that are just initials. What if we take those out of the mix?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gender-API:   0.7339255453495526\n",
      "Genderize.io: 0.6890671041695899\n"
     ]
    }
   ],
   "source": [
    "println(\"Gender-API:   $(length(biodata[(biodata[:apiCount] .!= 0) & (map(x->length(x), biodata[:Author_First_Name]) .!= 1), :Author_First_Name]) / length(biodata[:Author_First_Name]))\")\n",
    "println(\"Genderize.io: $(length(biodata[(biodata[:izeCount] .!= 0) & (map(x->length(x), biodata[:Author_First_Name]) .!= 1), :Author_First_Name]) / length(biodata[:Author_First_Name]))\")"
   ]
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   "cell_type": "markdown",
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    "It looks like most of genderize's advantage comes from the fact that it's guessing on initials. It's unclear whether we should include these names. There's evidence that women are more likely to use initials when publishing than men. At the same time, most of genderize's guesses for gender based on initials skew towards male. The combination of these things would lead me to expect genderize to underpredict female authorship, yet we saw above that the genderize guesses skew female compared to GenderAPI.\n",
    "\n",
    "What happens to the genderize data when we drop the initials?"
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   "execution_count": 94,
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     "text": [
      "0.3817953047613131\n",
      "0.40951634035036066\n"
     ]
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   ],
   "source": [
    "# Bio data, first author\n",
    "println(mean(dropna(biodata[biodata[:Position] .== \"first\", :izeP])))\n",
    "println(mean(dropna(biodata[(biodata[:Position] .== \"first\") & (map(x->length(x), biodata[:Author_First_Name]) .!= 1), :izeP])))"
   ]
  },
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   "execution_count": 95,
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    "collapsed": false
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.34289434889434894\n",
      "0.3481651843200671\n"
     ]
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   ],
   "source": [
    "# Comp data, first author\n",
    "println(mean(dropna(compdata[compdata[:Position] .== \"first\", :izeP])))\n",
    "println(mean(dropna(compdata[(compdata[:Position] .== \"first\") & (map(x->length(x), compdata[:Author_First_Name]) .!= 1), :izeP])))"
   ]
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  {
   "cell_type": "code",
   "execution_count": 96,
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   "outputs": [
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.26790239032911917\n",
      "0.26300646260127664\n"
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   "source": [
    "# Bio data, last author\n",
    "println(mean(dropna(biodata[biodata[:Position] .== \"last\", :izeP])))\n",
    "println(mean(dropna(biodata[(biodata[:Position] .== \"last\") & (map(x->length(x), biodata[:Author_First_Name]) .!= 1), :izeP])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
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    "collapsed": false
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.22832719728845252\n",
      "0.2232962737496396\n"
     ]
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   ],
   "source": [
    "# Comp data, last author\n",
    "println(mean(dropna(compdata[compdata[:Position] .== \"last\", :izeP])))\n",
    "println(mean(dropna(compdata[(compdata[:Position] .== \"last\") & (map(x->length(x), compdata[:Author_First_Name]) .!= 1), :izeP])))"
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   "cell_type": "markdown",
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   "source": [
    "So, it doesn't look like leaving in the predictions based on intitials is substantially swaying the predictions one way or the other. What else might explain the difference?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gender-API:            40342.13820483596\n",
      "Genderize.io:          1342.4970549088985\n",
      "Genderize no initials: 1680.9153182435255\n"
     ]
    }
   ],
   "source": [
    "# 3. for names that can be guessed, how certain can we be that the gender assignment is correct?\n",
    "\n",
    "println(\"Gender-API:            $(mean(biodata[biodata[:apiCount] .!= 0, :apiCount]))\")\n",
    "println(\"Genderize.io:          $(mean(biodata[biodata[:izeCount] .!= 0, :izeCount]))\")\n",
    "\n",
    "# Excluding initials\n",
    "println(\"Genderize no initials: $(mean(biodata[(biodata[:izeCount] .!= 0) & (map(x->length(x), biodata[:Author_First_Name]) .!= 1), :izeCount]))\")"
   ]
  },
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   "execution_count": 105,
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       "5×6 DataFrames.DataFrame\n",
       "│ Row │ Author_First_Name │ izeP │ apiP │ izeCount │ apiCount │ Frequency │\n",
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    "n = names[(names[:apiCount] .> 0) & (names[:izeCount] .> 0), :]\n",
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    "scatter(n, :Frequency, :izeCount, \n",
    "    lab=\"genderize.io\", α=0.5,\n",
    "    yaxis=(\"Count\", :log10),\n",
    "    xaxis=(\"Name Frequency\", :log10))\n",
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   "source": [
    "## Conclusion\n",
    "\n",
    "GenderAPI seems to have a lot more samples for each name that it has, and covers more names in total. The only benefit to Genderize is the fact that it can guess on initials, but it's unclear how useful those guesses actually are for this dataset. \n",
    "\n",
    "Going forward, I'm just going to use the GenderAPI data. Head over to [gender_stats](./gender_stats.ipynb) for additional analysis."
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