From 730af5fde5e114def2a47a07411a081ede88d7b0 Mon Sep 17 00:00:00 2001 From: Peter Norvig Date: Tue, 6 Oct 2020 23:12:10 -0700 Subject: [PATCH] Add files via upload --- ipynb/Electoral Votes.ipynb | 641 ++++++++++++++++++++++++--------- ipynb/ElectoralVotesCode.ipynb | 58 ++- 2 files changed, 517 insertions(+), 182 deletions(-) diff --git a/ipynb/Electoral Votes.ipynb b/ipynb/Electoral Votes.ipynb index 340652b..5b2b12a 100644 --- a/ipynb/Electoral Votes.ipynb +++ b/ipynb/Electoral Votes.ipynb @@ -4,11 +4,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "
Peter Norvig
Dec 2019
\n", + "
Peter Norvig
Feb 2020
\n", "\n", "# Predicting Presidential Electoral Votes from Approval Polls\n", "\n", - "Various sites aggregate opinion polls on presidential job performance. The polls are broken out state-by-state, month-by-month at [Mourning Consult](https://morningconsult.com/tracking-trump/). Trump's national **net approval** (percent approving minus percent disapproving) is currently -7% on [RealClearPolitics](https://www.realclearpolitics.com/epolls/other/president_trump_job_approval-6179.html), -8% on [538](https://projects.fivethirtyeight.com/trump-approval-ratings/), and -9% on [Gallup](https://news.gallup.com/poll/203198/presidential-approval-ratings-donald-trump.aspx). There are four big caveats in jumping from these numbers to conclusions about the election:\n", + "> **NOTE**: This notebook was useful in 2018-2019, before we knew who Trump's opponent would be. Now that we know that Biden is the Democratic nominee, there are many sites tracking head-to-head polls, and **this notebook is no longer useful.**\n", + "\n", + "Various sites aggregate opinion polls on presidential job performance. The polls are broken out state-by-state, month-by-month at [Mourning Consult](https://morningconsult.com/tracking-trump/) (and overall approval ratings are at [RealClearPolitics](https://www.realclearpolitics.com/epolls/other/president_trump_job_approval-6179.html), [538](https://projects.fivethirtyeight.com/trump-approval-ratings/), and [Gallup](https://news.gallup.com/poll/203198/presidential-approval-ratings-donald-trump.aspx). There are four big caveats in jumping from these approval numbers to conclusions about the coming election:\n", "\n", "1. Today is not election day 2020. \n", "\n", @@ -18,18 +20,8 @@ "\n", "4. Popular votes are not electoral votes. \n", "\n", - "I have nothing to offer on the first three points. But can we use state-by-state approval polls to \n", - "predict electoral votes? ***Yes we can!***\n", - "\n", - "\n", - "# TL;DR: In this model, Trump gets 104 to 235 Electoral Votes\n", - "\n", - "There is a lot of uncertainty, so I won't try to give an exact single number. Rather, I will say that, as of December 2019, under the assumption that Trump wins the electoral votes of states where he currently has positive net approval and loses the states where he has negative net approval:\n", - "- His mean expected number of electoral votes is **149.5**.\n", - "- He is tied (net approval zero) in Texas and North Carolina, so depending on how they go, the total would be **123 to 176**.\n", - "- If you allow for a swing of up to 3.5% across the board, then the totals range anywere from **104 to 235**.\n", - "- Recall that you need **270** to win.\n", - "- To reach 270, he'd need to take all the states where he is ahead or tied, plus six states where he is behind by up to **5%**.\n" + "I have nothing to offer on the first three points. But given these caveats, can we use state-by-state approval polls to \n", + "predict electoral votes? ***Yes we can!*** I propose and implement a model where the president wins exactly the states in which he has a positive net approval rating.\n" ] }, { @@ -38,7 +30,11 @@ "source": [ "# Details for data science nerds\n", "\n", - "View, verify, or modify **[my code](ElectoralVotesCode.ipynb)**." + "View, verify, or modify **[my code](ElectoralVotesCode.ipynb)**.\n", + "\n", + "# The Bottom Line\n", + "\n", + "With the February 2020 approval polls, here is the number of electoral vote Trump would have expected according to the model:" ] }, { @@ -49,7 +45,7 @@ { "data": { "text/plain": [ - "149.5" + "235" ] }, "execution_count": 1, @@ -60,16 +56,16 @@ "source": [ "%run ElectoralVotesCode.ipynb\n", "\n", - "EV(states) # Number of electoral vote Trump can expect according to this model" + "EV(states) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "The `.5` indicates a tie in one or more states. \n", + "235 is 35 votes short of winning.\n", "\n", - "Imagine a swing in voter approval of just 0.5% in either direction, for every state across the board. That would break ties, and we'd get a range of electoral votes: fewer in one direction, more in the other. If we allowed larger swings in approval, we'd get an even larger range. Here's how it goes:" + "Now, Imagine a swing in voter approval of just 0.5% in either direction, for every state across the board. That would break ties, and we'd get a range of electoral votes: fewer in one direction, more in the other. If we allowed larger swings in approval, we'd get an even larger range. Here's how it goes:" ] }, { @@ -82,16 +78,16 @@ "output_type": "stream", "text": [ "Swing EV Range\n", - "±0.5% 123 to 176\n", - "±1.5% 118 to 205\n", - "±2.5% 118 to 224\n", - "±3.5% 104 to 235\n", - "±4.5% 104 to 253\n", - "±5.5% 89 to 286\n", - "±6.5% 79 to 290\n", - "±7.5% 67 to 290\n", - "±8.5% 60 to 290\n", - "±9.5% 52 to 306\n" + "±0.5% 235 to 235\n", + "±1.5% 224 to 273\n", + "±2.5% 208 to 273\n", + "±3.5% 179 to 273\n", + "±4.5% 173 to 273\n", + "±5.5% 155 to 302\n", + "±6.5% 147 to 306\n", + "±7.5% 109 to 306\n", + "±8.5% 99 to 306\n", + "±9.5% 85 to 306\n" ] } ], @@ -103,7 +99,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "That is, the `4.5%` row says that if Trump's approval slipped 4.5% in every state, he would suffer a blowout loss, getting only 104 electoral votes. If he gained 4.5% in every state, it would be a close loss with 253 electoral votes (to 285 for the opponent)." + "That is, with a swing of 1.5% in his favor in every state (or just in a few key states), Trump could win with a slim 273-265 margin, or with a 1.5% swing against him, lose by a large 224 to 314 margin." ] }, { @@ -112,7 +108,9 @@ "source": [ "# Details for policy wonks\n", "\n", - "The following plot shows, for each month in office, the expected number of electoral votes, with error bars indicating a 3% approval swing in either direction (that is: the blue diamond is the total number of electoral votes for states where he has net positive approval; the top and bottom of the grey bars give the total if he were to gain or lose 3% in every state. Why 3%? That was the [average error](https://fivethirtyeight.com/features/the-polls-are-all-right/) in national presidential polls in 2016: Clinton was predicted to win the popular vote by 6% but actually only won by 3%.) Trump hasn't been above 270 since 4 months into his term. He's been below 200 for a year." + "# Electoral votes by month\n", + "\n", + "The following plot shows, for each month in office, the expected number of electoral votes, with error bars indicating a 3% approval swing in either direction (that is: the blue diamond is the total number of electoral votes for states where he has net positive approval; the top and bottom of the grey bars give the total if he were to gain or lose 3% in every state. Why 3%? That was the [average error](https://fivethirtyeight.com/features/the-polls-are-all-right/) in national presidential polls in 2016: Clinton was predicted to win the popular vote by 6% but actually only won by 3%.) " ] }, { @@ -122,7 +120,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -135,6 +133,35 @@ "show_evs()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Margin and country-wide net approval by month\n", + "\n", + "The next plot gives the swing margin needed to reach 270 for each month, along with the country-wide net approval. Trump has been in negative territory on all metrics since his fourth month in office. He's been net -10% or worse country-wide every month since his third in office. We see that the state-by-state margin roughly correlates with the country-wide net approval, but not exactly." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "show_approval()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -165,19 +192,12 @@ "- **+**: President's current approval in state.\n", "- **-**: President's current disapproval in state.\n", "- **?**: Undecideds in state.\n", - "- **𝝈**: Standard deviation in net approval over the past 12 months in state.\n", - "\n", - "The table shows that:\n", - "- If Trump wins the states he is leading or tied in, he gets **176** electoral votes (the **ΣEV** in the TEXAS row).\n", - "- If he also wins all the swing states, he gets **235** electoral votes (**ΣEV** in the ARIZONA row). \n", - "- To get to **270**, he would also need to win Ohio and Pennsylvania. \n", - "- He is currently down by **5%** in Pennsylvania, so that's the margin.\n", - "- Some traditional swing states currently seem out of reach for Trump: he's at **-15%** in Michigan and **-9%** in Wisconsin.\n" + "- **𝝈**: Standard deviation in net approval over the past 12 months in state.\n" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -185,57 +205,57 @@ "text/markdown": [ "|State|Net|Move|EV|ΣEV|+|−|?|𝝈|\n", "|-|-|-|-|-|-|-|-|-|\n", - "|Wyoming|+28%|±11%|3|3|62%|34%|4%|±5.0%\n", - "|Alabama|+22%|±6%|9|12|59%|37%|4%|±2.4%\n", - "|West Virginia|+21%|±5%|5|17|59%|38%|3%|±2.1%\n", - "|Idaho|+16%|±5%|4|21|56%|40%|4%|±2.2%\n", - "|Tennessee|+15%|±5%|11|32|56%|41%|3%|±2.2%\n", - "|Kentucky|+14%|±4%|8|40|55%|41%|4%|±1.5%\n", - "|Mississippi|+14%|±7%|6|46|55%|41%|4%|±3.0%\n", - "|Arkansas|+10%|±5%|6|52|53%|43%|4%|±1.9%\n", - "|Louisiana|+9%|±7%|8|60|53%|44%|3%|±3.3%\n", - "|Oklahoma|+8%|±6%|7|67|52%|44%|4%|±2.5%\n", - "|Kansas|+7%|±5%|6|73|52%|45%|3%|±2.3%\n", - "|**UTAH**|**+7%**|**±8%**|6|79|52%|45%|3%|±3.6%\n", - "|**MISSOURI**|**+6%**|**±6%**|10|89|51%|45%|4%|±2.7%\n", - "|**NORTH DAKOTA**|**+5%**|**±5%**|3|92|51%|46%|3%|±2.4%\n", - "|South Carolina|+5%|±5%|9|101|51%|46%|3%|±2.1%\n", - "|**SOUTH DAKOTA**|**+5%**|**±7%**|3|104|51%|46%|3%|±3.2%\n", - "|Indiana|+3%|±3%|11|115|50%|47%|3%|±1.2%\n", - "|**MONTANA**|**+3%**|**±7%**|3|118|50%|47%|3%|±3.0%\n", - "|**NEBRASKA**|**+1%**|**±7%**|5|123|49%|48%|3%|±3.4%\n", - "|**NORTH CAROLINA**|**+0%**|**±4%**|15|138|48%|48%|4%|±1.6%\n", - "|**TEXAS**|**+0%**|**±4%**|38|176|48%|48%|4%|±1.7%\n", - "|**FLORIDA**|**-1%**|**±3%**|29|205|48%|49%|3%|±1.4%\n", - "|**ALASKA**|**-2%**|**±7%**|3|208|47%|49%|4%|±3.2%\n", - "|**GEORGIA**|**-2%**|**±6%**|16|224|47%|49%|4%|±2.5%\n", - "|**ARIZONA**|**-3%**|**±4%**|11|235|47%|50%|3%|±1.8%\n", - "|Ohio|-4%|±2%|18|253|46%|50%|4%|±0.8%\n", - "|Pennsylvania|-5%|±3%|20|273|46%|51%|3%|±1.4%\n", - "|Virginia|-5%|±4%|13|286|46%|51%|3%|±1.8%\n", - "|Maine|-6%|±5%|4|290|46%|52%|2%|±2.4%\n", - "|Iowa|-9%|±4%|6|296|44%|53%|3%|±1.9%\n", - "|Wisconsin|-9%|±5%|10|306|44%|53%|3%|±2.1%\n", - "|New Mexico|-10%|±7%|5|311|43%|53%|4%|±3.2%\n", - "|Minnesota|-11%|±5%|10|321|43%|54%|3%|±2.3%\n", - "|Nevada|-12%|±5%|6|327|42%|54%|4%|±2.3%\n", - "|Delaware|-15%|±8%|3|330|41%|56%|3%|±3.5%\n", - "|Michigan|-15%|±5%|16|346|40%|55%|5%|±1.9%\n", - "|New Jersey|-15%|±4%|14|360|41%|56%|3%|±1.5%\n", - "|Colorado|-18%|±6%|9|369|39%|57%|4%|±2.5%\n", - "|New Hampshire|-19%|±6%|4|373|39%|58%|3%|±2.7%\n", - "|Oregon|-20%|±5%|7|380|38%|58%|4%|±2.2%\n", - "|Connecticut|-21%|±3%|7|387|38%|59%|3%|±1.1%\n", - "|Illinois|-22%|±4%|20|407|37%|59%|4%|±1.6%\n", - "|Rhode Island|-23%|±4%|4|411|37%|60%|3%|±1.8%\n", - "|Maryland|-24%|±5%|10|421|36%|60%|4%|±2.1%\n", - "|New York|-25%|±3%|29|450|36%|61%|3%|±1.3%\n", - "|Washington|-25%|±4%|12|462|36%|61%|3%|±1.6%\n", - "|California|-28%|±3%|55|517|34%|62%|4%|±1.3%\n", - "|Hawaii|-28%|±9%|4|521|34%|62%|4%|±4.2%\n", - "|Massachusetts|-31%|±4%|11|532|33%|64%|3%|±1.8%\n", - "|Vermont|-35%|±8%|3|535|31%|66%|3%|±3.6%\n", - "|District of Columbia|-58%|±6%|3|538|19%|77%|4%|±2.6%" + "|Alabama|+28%|±5%|9|9|62%|34%|4%|±2.3%\n", + "|Wyoming|+27%|±10%|3|12|62%|35%|3%|±4.8%\n", + "|West Virginia|+24%|±5%|5|17|61%|37%|2%|±2.1%\n", + "|Louisiana|+21%|±8%|8|25|59%|38%|3%|±3.7%\n", + "|Idaho|+19%|±6%|4|29|58%|39%|3%|±2.7%\n", + "|Kentucky|+17%|±4%|8|37|57%|40%|3%|±1.5%\n", + "|Tennessee|+17%|±4%|11|48|57%|40%|3%|±1.8%\n", + "|Mississippi|+14%|±7%|6|54|55%|41%|4%|±3.1%\n", + "|Oklahoma|+14%|±6%|7|61|56%|42%|2%|±2.8%\n", + "|South Carolina|+13%|±6%|9|70|55%|42%|3%|±2.5%\n", + "|Arkansas|+11%|±5%|6|76|54%|43%|3%|±2.4%\n", + "|Utah|+11%|±9%|6|82|54%|43%|3%|±4.2%\n", + "|South Dakota|+10%|±7%|3|85|54%|44%|2%|±3.4%\n", + "|Indiana|+9%|±6%|11|96|53%|44%|3%|±2.8%\n", + "|North Dakota|+9%|±6%|3|99|53%|44%|3%|±2.8%\n", + "|Missouri|+8%|±6%|10|109|52%|44%|4%|±2.4%\n", + "|Texas|+7%|±5%|38|147|52%|45%|3%|±2.0%\n", + "|**MONTANA**|**+6%**|**±7%**|3|150|52%|46%|2%|±3.2%\n", + "|**NEBRASKA**|**+6%**|**±8%**|5|155|52%|46%|2%|±3.6%\n", + "|**ALASKA**|**+5%**|**±7%**|3|158|51%|46%|3%|±3.3%\n", + "|**NORTH CAROLINA**|**+5%**|**±5%**|15|173|51%|46%|3%|±2.4%\n", + "|**KANSAS**|**+4%**|**±5%**|6|179|51%|47%|2%|±2.2%\n", + "|**FLORIDA**|**+3%**|**±4%**|29|208|50%|47%|3%|±1.7%\n", + "|**GEORGIA**|**+2%**|**±6%**|16|224|49%|47%|4%|±2.4%\n", + "|**ARIZONA**|**+1%**|**±6%**|11|235|49%|48%|3%|±2.6%\n", + "|**OHIO**|**-1%**|**±4%**|18|253|48%|49%|3%|±1.6%\n", + "|**PENNSYLVANIA**|**-1%**|**±6%**|20|273|48%|49%|3%|±2.7%\n", + "|**IOWA**|**-5%**|**±6%**|6|279|46%|51%|3%|±2.5%\n", + "|**MINNESOTA**|**-5%**|**±7%**|10|289|46%|51%|3%|±3.4%\n", + "|Virginia|-5%|±3%|13|302|46%|51%|3%|±1.4%\n", + "|**MAINE**|**-6%**|**±7%**|4|306|46%|52%|2%|±3.1%\n", + "|Delaware|-10%|±8%|3|309|43%|53%|4%|±3.8%\n", + "|Michigan|-10%|±4%|16|325|43%|53%|4%|±1.8%\n", + "|Nevada|-11%|±6%|6|331|43%|54%|3%|±2.6%\n", + "|New Mexico|-11%|±7%|5|336|43%|54%|3%|±3.0%\n", + "|Wisconsin|-11%|±5%|10|346|43%|54%|3%|±2.2%\n", + "|New Jersey|-12%|±5%|14|360|42%|54%|4%|±2.0%\n", + "|Colorado|-13%|±6%|9|369|42%|55%|3%|±2.6%\n", + "|Connecticut|-17%|±5%|7|376|40%|57%|3%|±2.2%\n", + "|Illinois|-18%|±4%|20|396|39%|57%|4%|±1.8%\n", + "|New Hampshire|-18%|±7%|4|400|40%|58%|2%|±3.2%\n", + "|Rhode Island|-18%|±4%|4|404|39%|57%|4%|±1.8%\n", + "|New York|-20%|±4%|29|433|38%|58%|4%|±1.7%\n", + "|Hawaii|-21%|±10%|4|437|38%|59%|3%|±4.7%\n", + "|Oregon|-21%|±6%|7|444|38%|59%|3%|±2.7%\n", + "|Maryland|-25%|±5%|10|454|36%|61%|3%|±2.1%\n", + "|Massachusetts|-26%|±5%|11|465|36%|62%|2%|±2.1%\n", + "|Washington|-27%|±4%|12|477|35%|62%|3%|±1.7%\n", + "|California|-28%|±3%|55|532|34%|62%|4%|±1.3%\n", + "|Vermont|-39%|±8%|3|535|29%|68%|3%|±3.9%\n", + "|District of Columbia|-57%|±6%|3|538|19%|76%|5%|±2.5%" ], "text/plain": [ "" @@ -249,35 +269,6 @@ "show_states()" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Margin and country-wide net approval by month\n", - "\n", - "The next plot gives the swing margin needed to reach 270 for each month, along with the country-wide net approval. Trump has been in negative territory on all metrics since his fourth month in office. He's been net -10% or worse country-wide every month since his third in office. We see that the state-by-state margin roughly correlates with the country-wide net approval, but not exactly." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "show_approval()" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -286,70 +277,72 @@ "\n", "Fivethirtyeight is a combination sports/politics site, and it has a lot of statistics about sports players and how much better they are than the average replacement player. Given that, they [decided](https://fivethirtyeight.com/features/the-states-where-trump-is-more-and-less-popular-than-he-should-be/) to rate the president's approval versus each state's overall approval of the president's party (in recent elections), which is a way of rating the president's performance versus an average replacement candidate from the same party. I'll duplicate that work and keep it up to date. We define the PARP for a state as the president's net approval minus the average party-member's net approval in that state (known as the \"partisan lean\"). \n", "\n", - "In the table below, states are ordered by PARP. In each row we have the state name followed by the partisan lean of the state (positive numbers lean towards the president's party), the electoral votes, and then a pair of statistics (PARP, and net approval (in parentheses)) for four time periods (today, followed by January of 2019, 2018, and 2017). Trump was more popular than an average Republican at his inauguration in January 2017, with positive PARP in 42 states. But by 2018 he had positive PARP in only 6 states, and today only 2, Hawaii and Rhode Island, where he is deeply unpopular, but not quite as unpopular as other Republicans." + "In the table below, states are ordered by PARP. In each row we have the state name followed by the partisan lean of the state (positive numbers lean towards the president's party), the electoral votes, and then a pair of statistics (PARP, and net approval (in parentheses)) for four time periods (today, followed by January of 2019, 2018, and 2017). " ] }, { "cell_type": "code", "execution_count": 6, - "metadata": {}, + "metadata": { + "scrolled": false + }, "outputs": [ { "data": { "text/markdown": [ "|State|Lean|EV|PARP|(Net)|PARP'19|(Net)|PARP'18|(Net)|PARP'17|(Net)|\n", "|-|-|-|-|-|-|-|-|-|-|-|\n", - "|Hawaii|-36|4|+8|(-28)|+7|(-29)|+0|(-36)|+23|(-13)|\n", - "|Rhode Island|-26|4|+3|(-23)|+7|(-19)|+4|(-22)|+22|(-4)|\n", - "|Delaware|-14|3|-1|(-15)|-1|(-15)|+0|(-14)|+22|(+8)|\n", - "|Maine|-5|4|-1|(-6)|-6|(-11)|-11|(-16)|+13|(+8)|\n", - "|Maryland|-23|10|-1|(-24)|-7|(-30)|+0|(-23)|+10|(-13)|\n", + "|Hawaii|-36|4|+15|(-21)|+7|(-29)|+0|(-36)|+23|(-13)|\n", + "|Rhode Island|-26|4|+8|(-18)|+7|(-19)|+4|(-22)|+22|(-4)|\n", + "|Delaware|-14|3|+4|(-10)|-1|(-15)|+0|(-14)|+22|(+8)|\n", + "|Louisiana|+17|8|+4|(+21)|-2|(+15)|+2|(+19)|+14|(+31)|\n", + "|Massachusetts|-29|11|+3|(-26)|-2|(-31)|-3|(-32)|+25|(-4)|\n", + "|New York|-22|29|+2|(-20)|-2|(-24)|+4|(-18)|+30|(+8)|\n", + "|Alabama|+27|9|+1|(+28)|-7|(+20)|+3|(+30)|+9|(+36)|\n", + "|New Jersey|-13|14|+1|(-12)|-6|(-19)|-3|(-16)|+15|(+2)|\n", + "|**NORTH CAROLINA**|+5|15|+0|(+5)|-9|(-4)|-6|(-1)|+13|(+18)|\n", + "|**MAINE**|-5|4|-1|(-6)|-6|(-11)|-11|(-16)|+13|(+8)|\n", "|Mississippi|+15|6|-1|(+14)|-2|(+13)|+2|(+17)|+19|(+34)|\n", - "|Massachusetts|-29|11|-2|(-31)|-2|(-31)|-3|(-32)|+25|(-4)|\n", - "|New Jersey|-13|14|-2|(-15)|-6|(-19)|-3|(-16)|+15|(+2)|\n", - "|New Mexico|-7|5|-3|(-10)|-11|(-18)|-13|(-20)|+24|(+17)|\n", - "|New York|-22|29|-3|(-25)|-2|(-24)|+4|(-18)|+30|(+8)|\n", + "|**FLORIDA**|+5|29|-2|(+3)|-9|(-4)|+0|(+5)|+17|(+22)|\n", + "|Maryland|-23|10|-2|(-25)|-7|(-30)|+0|(-23)|+10|(-13)|\n", + "|**PENNSYLVANIA**|+1|20|-2|(-1)|-11|(-10)|-4|(-3)|+9|(+10)|\n", + "|**MINNESOTA**|-2|10|-3|(-5)|-16|(-18)|-12|(-14)|+5|(+3)|\n", "|California|-24|55|-4|(-28)|-6|(-30)|+1|(-23)|+18|(-6)|\n", - "|Alabama|+27|9|-5|(+22)|-7|(+20)|+3|(+30)|+9|(+36)|\n", - "|**NORTH CAROLINA**|+5|15|-5|(+0)|-9|(-4)|-6|(-1)|+13|(+18)|\n", + "|New Mexico|-7|5|-4|(-11)|-11|(-18)|-13|(-20)|+24|(+17)|\n", + "|South Carolina|+17|9|-4|(+13)|-9|(+8)|-10|(+7)|+8|(+25)|\n", + "|Illinois|-13|20|-5|(-18)|-10|(-23)|-8|(-21)|+22|(+9)|\n", "|Virginia|+0|13|-5|(-5)|-10|(-10)|-4|(-4)|+8|(+8)|\n", - "|**FLORIDA**|+5|29|-6|(-1)|-9|(-4)|+0|(+5)|+17|(+22)|\n", - "|Pennsylvania|+1|20|-6|(-5)|-11|(-10)|-4|(-3)|+9|(+10)|\n", - "|Louisiana|+17|8|-8|(+9)|-2|(+15)|+2|(+19)|+14|(+31)|\n", - "|Illinois|-13|20|-9|(-22)|-10|(-23)|-8|(-21)|+22|(+9)|\n", - "|Kentucky|+23|8|-9|(+14)|-9|(+14)|-8|(+15)|+11|(+34)|\n", - "|Minnesota|-2|10|-9|(-11)|-16|(-18)|-12|(-14)|+5|(+3)|\n", - "|West Virginia|+30|5|-9|(+21)|-6|(+24)|-8|(+22)|+7|(+37)|\n", - "|Connecticut|-11|7|-10|(-21)|-13|(-24)|-8|(-19)|+16|(+5)|\n", - "|Wisconsin|+1|10|-10|(-9)|-17|(-16)|-13|(-12)|+5|(+6)|\n", - "|Ohio|+7|18|-11|(-4)|-13|(-6)|-11|(-4)|+7|(+14)|\n", - "|Oregon|-9|7|-11|(-20)|-13|(-22)|-11|(-20)|+11|(+2)|\n", - "|Vermont|-24|3|-11|(-35)|-11|(-35)|-12|(-36)|+22|(-2)|\n", - "|**ARIZONA**|+9|11|-12|(-3)|-17|(-8)|-12|(-3)|+11|(+20)|\n", - "|South Carolina|+17|9|-12|(+5)|-9|(+8)|-10|(+7)|+8|(+25)|\n", - "|**MISSOURI**|+19|10|-13|(+6)|-21|(-2)|-17|(+2)|+0|(+19)|\n", - "|Nevada|+1|6|-13|(-12)|-14|(-13)|-2|(-1)|+9|(+10)|\n", - "|Tennessee|+28|11|-13|(+15)|-16|(+12)|-11|(+17)|+5|(+33)|\n", - "|Washington|-12|12|-13|(-25)|-14|(-26)|-11|(-23)|+13|(+1)|\n", - "|Arkansas|+24|6|-14|(+10)|-14|(+10)|-11|(+13)|+6|(+30)|\n", - "|**GEORGIA**|+12|16|-14|(-2)|-14|(-2)|-5|(+7)|+6|(+18)|\n", - "|Michigan|-1|16|-14|(-15)|-14|(-15)|-9|(-10)|+9|(+8)|\n", - "|District of Columbia|-43|3|-15|(-58)|-22|(-65)|-21|(-64)|+12|(-31)|\n", - "|Indiana|+18|11|-15|(+3)|-14|(+4)|-17|(+1)|+4|(+22)|\n", - "|Iowa|+6|6|-15|(-9)|-20|(-14)|-16|(-10)|+3|(+9)|\n", - "|**MONTANA**|+18|3|-15|(+3)|-17|(+1)|-18|(+0)|+6|(+24)|\n", - "|Kansas|+23|6|-16|(+7)|-22|(+1)|-18|(+5)|+1|(+24)|\n", - "|**ALASKA**|+15|3|-17|(-2)|-14|(+1)|-14|(+1)|+9|(+24)|\n", - "|Colorado|-1|9|-17|(-18)|-17|(-18)|-13|(-14)|+2|(+1)|\n", - "|**TEXAS**|+17|38|-17|(+0)|-17|(+0)|-10|(+7)|+3|(+20)|\n", - "|Idaho|+35|4|-19|(+16)|-20|(+15)|-24|(+11)|-6|(+29)|\n", - "|Wyoming|+47|3|-19|(+28)|-17|(+30)|-22|(+25)|-7|(+40)|\n", - "|New Hampshire|+2|4|-21|(-19)|-21|(-19)|-12|(-10)|-1|(+1)|\n", - "|**NEBRASKA**|+24|5|-23|(+1)|-24|(+0)|-18|(+6)|-1|(+23)|\n", - "|**UTAH**|+31|6|-24|(+7)|-37|(-6)|-34|(-3)|-4|(+27)|\n", - "|Oklahoma|+34|7|-26|(+8)|-24|(+10)|-19|(+15)|+0|(+34)|\n", - "|**SOUTH DAKOTA**|+31|3|-26|(+5)|-25|(+6)|-21|(+10)|-10|(+21)|\n", - "|**NORTH DAKOTA**|+33|3|-28|(+5)|-29|(+4)|-22|(+11)|-10|(+23)|" + "|Connecticut|-11|7|-6|(-17)|-13|(-24)|-8|(-19)|+16|(+5)|\n", + "|Kentucky|+23|8|-6|(+17)|-9|(+14)|-8|(+15)|+11|(+34)|\n", + "|West Virginia|+30|5|-6|(+24)|-6|(+24)|-8|(+22)|+7|(+37)|\n", + "|**ARIZONA**|+9|11|-8|(+1)|-17|(-8)|-12|(-3)|+11|(+20)|\n", + "|**OHIO**|+7|18|-8|(-1)|-13|(-6)|-11|(-4)|+7|(+14)|\n", + "|Indiana|+18|11|-9|(+9)|-14|(+4)|-17|(+1)|+4|(+22)|\n", + "|Michigan|-1|16|-9|(-10)|-14|(-15)|-9|(-10)|+9|(+8)|\n", + "|**ALASKA**|+15|3|-10|(+5)|-14|(+1)|-14|(+1)|+9|(+24)|\n", + "|**GEORGIA**|+12|16|-10|(+2)|-14|(-2)|-5|(+7)|+6|(+18)|\n", + "|Texas|+17|38|-10|(+7)|-17|(+0)|-10|(+7)|+3|(+20)|\n", + "|**IOWA**|+6|6|-11|(-5)|-20|(-14)|-16|(-10)|+3|(+9)|\n", + "|Missouri|+19|10|-11|(+8)|-21|(-2)|-17|(+2)|+0|(+19)|\n", + "|Tennessee|+28|11|-11|(+17)|-16|(+12)|-11|(+17)|+5|(+33)|\n", + "|Colorado|-1|9|-12|(-13)|-17|(-18)|-13|(-14)|+2|(+1)|\n", + "|**MONTANA**|+18|3|-12|(+6)|-17|(+1)|-18|(+0)|+6|(+24)|\n", + "|Nevada|+1|6|-12|(-11)|-14|(-13)|-2|(-1)|+9|(+10)|\n", + "|Oregon|-9|7|-12|(-21)|-13|(-22)|-11|(-20)|+11|(+2)|\n", + "|Wisconsin|+1|10|-12|(-11)|-17|(-16)|-13|(-12)|+5|(+6)|\n", + "|Arkansas|+24|6|-13|(+11)|-14|(+10)|-11|(+13)|+6|(+30)|\n", + "|District of Columbia|-43|3|-14|(-57)|-22|(-65)|-21|(-64)|+12|(-31)|\n", + "|Vermont|-24|3|-15|(-39)|-11|(-35)|-12|(-36)|+22|(-2)|\n", + "|Washington|-12|12|-15|(-27)|-14|(-26)|-11|(-23)|+13|(+1)|\n", + "|Idaho|+35|4|-16|(+19)|-20|(+15)|-24|(+11)|-6|(+29)|\n", + "|**NEBRASKA**|+24|5|-18|(+6)|-24|(+0)|-18|(+6)|-1|(+23)|\n", + "|**KANSAS**|+23|6|-19|(+4)|-22|(+1)|-18|(+5)|+1|(+24)|\n", + "|New Hampshire|+2|4|-20|(-18)|-21|(-19)|-12|(-10)|-1|(+1)|\n", + "|Oklahoma|+34|7|-20|(+14)|-24|(+10)|-19|(+15)|+0|(+34)|\n", + "|Utah|+31|6|-20|(+11)|-37|(-6)|-34|(-3)|-4|(+27)|\n", + "|Wyoming|+47|3|-20|(+27)|-17|(+30)|-22|(+25)|-7|(+40)|\n", + "|South Dakota|+31|3|-21|(+10)|-25|(+6)|-21|(+10)|-10|(+21)|\n", + "|North Dakota|+33|3|-24|(+9)|-29|(+4)|-22|(+11)|-10|(+23)|" ], "text/plain": [ "" @@ -362,6 +355,310 @@ "source": [ "show_parp()" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Electoral Vote Totals\n", + "\n", + "Sites that simulate elections show electoral vote histograms that are spiky: some electoral vote totals are very common,others uncommon. I wanted to know if every total was possible. It turns out the answer is yes:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 []\n", + " 1 [Maine-1]\n", + " 2 [Maine-1 + Maine-2]\n", + " 3 [Alaska]\n", + " 4 [Hawaii]\n", + " 5 [Nebraska]\n", + " 6 [Arkansas]\n", + " 7 [Connecticut]\n", + " 8 [Kentucky]\n", + " 9 [Alabama]\n", + " 10 [Maryland]\n", + " 11 [Arizona]\n", + " 12 [Washington]\n", + " 13 [Virginia]\n", + " 14 [New Jersey]\n", + " 15 [North Carolina]\n", + " 16 [Georgia]\n", + " 17 [Kentucky + Alabama]\n", + " 18 [Ohio]\n", + " 19 [Alabama + Maryland]\n", + " 20 [Illinois]\n", + " 21 [Maryland + Arizona]\n", + " 22 [Arizona + Indiana]\n", + " 23 [Arizona + Washington]\n", + " 24 [Arizona + Virginia]\n", + " 25 [Washington + Virginia]\n", + " 26 [Washington + New Jersey]\n", + " 27 [Virginia + New Jersey]\n", + " 28 [Virginia + North Carolina]\n", + " 29 [Florida]\n", + " 30 [New Jersey + Georgia]\n", + " 31 [North Carolina + Georgia]\n", + " 32 [Georgia + Michigan]\n", + " 33 [North Carolina + Ohio]\n", + " 34 [Georgia + Ohio]\n", + " 35 [North Carolina + Illinois]\n", + " 36 [Georgia + Illinois]\n", + " 37 [Kentucky + Florida]\n", + " 38 [Texas]\n", + " 39 [Maryland + Florida]\n", + " 40 [Illinois + Pennsylvania]\n", + " 41 [Washington + Florida]\n", + " 42 [Virginia + Florida]\n", + " 43 [New Jersey + Florida]\n", + " 44 [North Carolina + Florida]\n", + " 45 [Georgia + Florida]\n", + " 46 [Kentucky + Texas]\n", + " 47 [Ohio + Florida]\n", + " 48 [Maryland + Texas]\n", + " 49 [Illinois + Florida]\n", + " 50 [Washington + Texas]\n", + " 51 [Virginia + Texas]\n", + " 52 [New Jersey + Texas]\n", + " 53 [North Carolina + Texas]\n", + " 54 [Georgia + Texas]\n", + " 55 [California]\n", + " 56 [Ohio + Texas]\n", + " 57 [Virginia + North Carolina + Florida]\n", + " 58 [Florida + New York]\n", + " 59 [Hawaii + California]\n", + " 60 [Nebraska + California]\n", + " 61 [Arkansas + California]\n", + " 62 [Connecticut + California]\n", + " 63 [Kentucky + California]\n", + " 64 [Alabama + California]\n", + " 65 [Maryland + California]\n", + " 66 [Arizona + California]\n", + " 67 [Florida + Texas]\n", + " 68 [Virginia + California]\n", + " 69 [New Jersey + California]\n", + " 70 [North Carolina + California]\n", + " 71 [Georgia + California]\n", + " 72 [New Jersey + Florida + New York]\n", + " 73 [Ohio + California]\n", + " 74 [Georgia + Florida + New York]\n", + " 75 [Illinois + California]\n", + " 76 [Ohio + Florida + New York]\n", + " 77 [Maryland + Florida + Texas]\n", + " 78 [Illinois + Florida + New York]\n", + " 79 [Washington + Florida + Texas]\n", + " 80 [Virginia + Florida + Texas]\n", + " 81 [New Jersey + Florida + Texas]\n", + " 82 [North Carolina + Florida + Texas]\n", + " 83 [Georgia + Florida + Texas]\n", + " 84 [Florida + California]\n", + " 85 [Ohio + Florida + Texas]\n", + " 86 [North Carolina + Georgia + California]\n", + " 87 [Illinois + Florida + Texas]\n", + " 88 [North Carolina + Ohio + California]\n", + " 89 [Georgia + Ohio + California]\n", + " 90 [North Carolina + Illinois + California]\n", + " 91 [Georgia + Illinois + California]\n", + " 92 [Kentucky + Florida + California]\n", + " 93 [Texas + California]\n", + " 94 [Maryland + Florida + California]\n", + " 95 [Illinois + Pennsylvania + California]\n", + " 96 [Florida + New York + Texas]\n", + " 97 [Virginia + Florida + California]\n", + " 98 [New Jersey + Florida + California]\n", + " 99 [North Carolina + Florida + California]\n", + "100 [Georgia + Florida + California]\n", + "101 [Kentucky + Texas + California]\n", + "102 [Ohio + Florida + California]\n", + "103 [Maryland + Texas + California]\n", + "104 [Illinois + Florida + California]\n", + "105 [Washington + Texas + California]\n", + "106 [Virginia + Texas + California]\n", + "107 [New Jersey + Texas + California]\n", + "108 [North Carolina + Texas + California]\n", + "109 [Georgia + Texas + California]\n", + "110 [New Jersey + Florida + New York + Texas]\n", + "111 [Ohio + Texas + California]\n", + "112 [Georgia + Florida + New York + Texas]\n", + "113 [Florida + New York + California]\n", + "114 [Ohio + Florida + New York + Texas]\n", + "115 [North Carolina + Georgia + Florida + California]\n", + "116 [Illinois + Florida + New York + Texas]\n", + "117 [North Carolina + Ohio + Florida + California]\n", + "118 [Georgia + Ohio + Florida + California]\n", + "119 [North Carolina + Illinois + Florida + California]\n", + "120 [Georgia + Illinois + Florida + California]\n", + "121 [Kentucky + Florida + New York + California]\n", + "122 [Florida + Texas + California]\n", + "123 [Maryland + Florida + New York + California]\n", + "124 [Illinois + Pennsylvania + Florida + California]\n", + "125 [Washington + Florida + New York + California]\n", + "126 [Virginia + Florida + New York + California]\n", + "127 [New Jersey + Florida + New York + California]\n", + "128 [North Carolina + Florida + New York + California]\n", + "129 [Georgia + Florida + New York + California]\n", + "130 [Kentucky + Florida + Texas + California]\n", + "131 [Ohio + Florida + New York + California]\n", + "132 [Maryland + Florida + Texas + California]\n", + "133 [Illinois + Florida + New York + California]\n", + "134 [Washington + Florida + Texas + California]\n", + "135 [Virginia + Florida + Texas + California]\n", + "136 [New Jersey + Florida + Texas + California]\n", + "137 [North Carolina + Florida + Texas + California]\n", + "138 [Georgia + Florida + Texas + California]\n", + "139 [North Carolina + Illinois + Pennsylvania + Florida + California]\n", + "140 [Ohio + Florida + Texas + California]\n", + "141 [Virginia + North Carolina + Florida + New York + California]\n", + "142 [Illinois + Florida + Texas + California]\n", + "143 [New Jersey + Georgia + Florida + New York + California]\n", + "144 [North Carolina + Georgia + Florida + New York + California]\n", + "145 [Georgia + Michigan + Florida + New York + California]\n", + "146 [North Carolina + Ohio + Florida + New York + California]\n", + "147 [Georgia + Ohio + Florida + New York + California]\n", + "148 [North Carolina + Illinois + Florida + New York + California]\n", + "149 [Georgia + Illinois + Florida + New York + California]\n", + "150 [Virginia + North Carolina + Florida + Texas + California]\n", + "151 [Florida + New York + Texas + California]\n", + "152 [New Jersey + Georgia + Florida + Texas + California]\n", + "153 [Illinois + Pennsylvania + Florida + New York + California]\n", + "154 [Georgia + Michigan + Florida + Texas + California]\n", + "155 [North Carolina + Ohio + Florida + Texas + California]\n", + "156 [Georgia + Ohio + Florida + Texas + California]\n", + "157 [North Carolina + Illinois + Florida + Texas + California]\n", + "158 [Georgia + Illinois + Florida + Texas + California]\n", + "159 [Kentucky + Florida + New York + Texas + California]\n", + "160 [Ohio + Illinois + Florida + Texas + California]\n", + "161 [Maryland + Florida + New York + Texas + California]\n", + "162 [Illinois + Pennsylvania + Florida + Texas + California]\n", + "163 [Washington + Florida + New York + Texas + California]\n", + "164 [Virginia + Florida + New York + Texas + California]\n", + "165 [New Jersey + Florida + New York + Texas + California]\n", + "166 [North Carolina + Florida + New York + Texas + California]\n", + "167 [Georgia + Florida + New York + Texas + California]\n", + "168 [North Carolina + Illinois + Pennsylvania + Florida + New York + California]\n", + "169 [Ohio + Florida + New York + Texas + California]\n", + "170 [New Jersey + Georgia + Ohio + Florida + Texas + California]\n", + "171 [Illinois + Florida + New York + Texas + California]\n", + "172 [Georgia + Michigan + Ohio + Florida + Texas + California]\n", + "173 [North Carolina + Georgia + Illinois + Florida + Texas + California]\n", + "174 [Georgia + Michigan + Illinois + Florida + Texas + California]\n", + "175 [North Carolina + Ohio + Illinois + Florida + Texas + California]\n", + "176 [Georgia + Ohio + Illinois + Florida + Texas + California]\n", + "177 [North Carolina + Illinois + Pennsylvania + Florida + Texas + California]\n", + "178 [Georgia + Illinois + Pennsylvania + Florida + Texas + California]\n", + "179 [Virginia + North Carolina + Florida + New York + Texas + California]\n", + "180 [Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "181 [New Jersey + Georgia + Florida + New York + Texas + California]\n", + "182 [North Carolina + Georgia + Florida + New York + Texas + California]\n", + "183 [Georgia + Michigan + Florida + New York + Texas + California]\n", + "184 [North Carolina + Ohio + Florida + New York + Texas + California]\n", + "185 [Georgia + Ohio + Florida + New York + Texas + California]\n", + "186 [North Carolina + Illinois + Florida + New York + Texas + California]\n", + "187 [Georgia + Illinois + Florida + New York + Texas + California]\n", + "188 [New Jersey + Georgia + Michigan + Illinois + Florida + Texas + California]\n", + "189 [Ohio + Illinois + Florida + New York + Texas + California]\n", + "190 [New Jersey + Georgia + Ohio + Illinois + Florida + Texas + California]\n", + "191 [Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "192 [Georgia + Michigan + Ohio + Illinois + Florida + Texas + California]\n", + "193 [North Carolina + Georgia + Illinois + Pennsylvania + Florida + Texas + California]\n", + "194 [Georgia + Michigan + Illinois + Pennsylvania + Florida + Texas + California]\n", + "195 [North Carolina + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "196 [Georgia + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "197 [New Jersey + Georgia + Michigan + Florida + New York + Texas + California]\n", + "198 [North Carolina + Georgia + Michigan + Florida + New York + Texas + California]\n", + "199 [New Jersey + Georgia + Ohio + Florida + New York + Texas + California]\n", + "200 [North Carolina + Georgia + Ohio + Florida + New York + Texas + California]\n", + "201 [Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "202 [North Carolina + Georgia + Illinois + Florida + New York + Texas + California]\n", + "203 [Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "204 [North Carolina + Ohio + Illinois + Florida + New York + Texas + California]\n", + "205 [Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "206 [North Carolina + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "207 [Georgia + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "208 [New Jersey + Georgia + Michigan + Illinois + Pennsylvania + Florida + Texas + California]\n", + "209 [Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "210 [New Jersey + Georgia + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "211 [North Carolina + Georgia + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "212 [Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "213 [Virginia + North Carolina + Georgia + Ohio + Florida + New York + Texas + California]\n", + "214 [New Jersey + North Carolina + Georgia + Ohio + Florida + New York + Texas + California]\n", + "215 [New Jersey + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "216 [North Carolina + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "217 [New Jersey + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "218 [North Carolina + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "219 [New Jersey + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "220 [North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "221 [Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "222 [North Carolina + Georgia + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "223 [Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "224 [North Carolina + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "225 [Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "226 [New Jersey + Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "227 [North Carolina + Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + Texas + California]\n", + "228 [Virginia + New Jersey + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "229 [Virginia + North Carolina + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "230 [New Jersey + North Carolina + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "231 [Virginia + North Carolina + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "232 [New Jersey + North Carolina + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "233 [Virginia + North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "234 [New Jersey + North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "235 [New Jersey + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "236 [North Carolina + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "237 [New Jersey + Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "238 [North Carolina + Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "239 [New Jersey + Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "240 [North Carolina + Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "241 [Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "242 [Washington + New Jersey + North Carolina + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "243 [Virginia + New Jersey + North Carolina + Georgia + Michigan + Ohio + Florida + New York + Texas + California]\n", + "244 [Washington + New Jersey + North Carolina + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "245 [Virginia + New Jersey + North Carolina + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "246 [Washington + New Jersey + North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "247 [Virginia + New Jersey + North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "248 [Virginia + New Jersey + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "249 [Virginia + North Carolina + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "250 [New Jersey + North Carolina + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "251 [Virginia + North Carolina + Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "252 [New Jersey + North Carolina + Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "253 [Virginia + North Carolina + Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "254 [New Jersey + North Carolina + Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "255 [New Jersey + Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "256 [North Carolina + Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "257 [Washington + Virginia + New Jersey + North Carolina + Georgia + Michigan + Illinois + Florida + New York + Texas + California]\n", + "258 [Arizona + Virginia + New Jersey + North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "259 [Washington + Virginia + New Jersey + North Carolina + Georgia + Ohio + Illinois + Florida + New York + Texas + California]\n", + "260 [Washington + Virginia + New Jersey + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "261 [Washington + Virginia + North Carolina + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "262 [Washington + New Jersey + North Carolina + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "263 [Virginia + New Jersey + North Carolina + Georgia + Michigan + Ohio + Illinois + Florida + New York + Texas + California]\n", + "264 [Washington + New Jersey + North Carolina + Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "265 [Virginia + New Jersey + North Carolina + Georgia + Michigan + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "266 [Washington + New Jersey + North Carolina + Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "267 [Virginia + New Jersey + North Carolina + Georgia + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "268 [Virginia + New Jersey + Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n", + "269 [Virginia + North Carolina + Georgia + Michigan + Ohio + Illinois + Pennsylvania + Florida + New York + Texas + California]\n" + ] + } + ], + "source": [ + "show_totals()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For total number of votes *v* where 270 ≤ *v* ≤ 538, the answer is \"all the states except the ones listed for (538 - *v*)\"." + ] } ], "metadata": { @@ -380,7 +677,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.2" + "version": "3.7.6" } }, "nbformat": 4, diff --git a/ipynb/ElectoralVotesCode.ipynb b/ipynb/ElectoralVotesCode.ipynb index 193e210..eee9cea 100644 --- a/ipynb/ElectoralVotesCode.ipynb +++ b/ipynb/ElectoralVotesCode.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "
Peter Norvig
12 August 2019
\n", + "
Peter Norvig
12 August 2019
Update Oct 2020
\n", "\n", "# Data and Code for [Tracking Trump: Electoral Votes Edition](Electoral%20Votes.ipynb)\n", "\n", @@ -12,7 +12,7 @@ " gives state-by-state, month-by-month presidential approval poll data. Within the web page there is some Javascript from which\n", " we can extract the data we need. It looks like this:\n", "\n", - " var mc_state_trend = [[\"Demographic\",\"Jan-17\",\"\",\"Feb-17\",\"\", ...]\n", + " var mc_state_trend = [[\"Demographic\",\"January '17\",\"\",\"February '17\",\"\", ...]\n", " [\"Alabama\",\"62\",\"26\",\"65\",\"29\", ...], \n", " ... ]\n", " \n", @@ -28,7 +28,7 @@ "metadata": {}, "outputs": [], "source": [ - "! curl -s -o evs.html https://morningconsult.com/tracking-trump-2/" + "! [ -e evs.html ] || curl -s -o evs.html https://morningconsult.com/tracking-trump-2/" ] }, { @@ -94,8 +94,8 @@ "net_usa = {\n", " 'Jan-17': 10, 'Jan-18': -18, 'Jan-19': -12, 'Jan-20': -11,\n", " 'Feb-17': 0, 'Feb-18': -15, 'Feb-19': -16, 'Feb-20': -10,\n", - " 'Mar-17': -6, 'Mar-18': -14, 'Mar-19': -11, \n", - " 'Apr-17': -13, 'Apr-18': -13, 'Apr-19': -11, \n", + " 'Mar-17': -6, 'Mar-18': -14, 'Mar-19': -11, \n", + " 'Apr-17': -13, 'Apr-18': -13, 'Apr-19': -11, \n", " 'May-17': -11, 'May-18': -12, 'May-19': -12, \n", " 'Jun-17': -16, 'Jun-18': -11, 'Jun-19': -12, \n", " 'Jul-17': -15, 'Jul-18': -10, 'Jul-19': -11, \n", @@ -128,13 +128,17 @@ " \"Read data from the file and return tuple: (list of `State`s, list of dates).\"\n", " text = re.findall(r'\\[\\[.*?\\]\\]', open(filename).read())[0]\n", " header, *table = ast.literal_eval(text)\n", - " dates = header[1::2]\n", + " dates = [date32(d) for d in header[1::2]]\n", " states = [State(name, *state_data[name],\n", " approvals=dict(zip(dates, map(int, numbers[0::2]))),\n", " disapprovals=dict(zip(dates, map(int, numbers[1::2]))))\n", " for (name, *numbers) in table]\n", " return states, dates\n", "\n", + "def date32(date) -> str: \n", + " \"\"\"Convert a date to 3-2 format: date32(\"June '17\") => 'Jun-17'.\"\"\"\n", + " return date[:3] + '-' + date[-2:]\n", + "\n", "states, dates = parse_page('evs.html')\n", "now = dates[-1]\n", "\n", @@ -178,7 +182,7 @@ "\n", "def grid(dates, xlab, ylab): \n", " plt.minorticks_on(); plt.grid(which='minor', axis='y', ls=':', alpha=0.7)\n", - " plt.xticks(range(len(dates)), dates, rotation=90)\n", + " plt.xticks(range(len(dates)), dates, rotation=90, fontfamily='monospace')\n", " plt.xlabel(xlab); plt.ylabel(ylab); plt.legend()" ] }, @@ -198,7 +202,7 @@ " plt.plot(range(N), [270] * N, color='darkorange', label=\"270 EVs\", lw=2)\n", " plt.errorbar(range(N), [EV(states, date) for date in dates], fmt='D-',\n", " yerr=err, ecolor='grey', capsize=7, label='Trump EVs ±3% swing', lw=2)\n", - " grid(dates, 'Date', 'Electoral Vptes')\n", + " grid(dates, 'Date', 'Electoral Votes')\n", " #labels('Date', 'Electoral Votes')" ] }, @@ -271,6 +275,40 @@ " yield f'|{swing_name(s)}|{s.lean:+d}|{s.ev}|{\"|\".join(fields)}|'" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Show how to make all Electoral Vote totals:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def all_totals(states) -> dict:\n", + " \"\"\"Return a dict of {ev_total: [state, ...]}\"\"\"\n", + " totals = {0: []}\n", + " for s in sorted(states, key=lambda s: s.ev):\n", + " new = {}\n", + " for t in totals:\n", + " new[t + s.ev] = shorter(totals.get(t + s.ev), totals[t] + [s.name])\n", + " totals = {**totals, **new}\n", + " return totals\n", + " \n", + "def shorter(A, B):\n", + " \"\"\"Return the sequence that is shorter, but always return B if A is None.\"\"\"\n", + " return B if A is None or len(A) > len(B) else A\n", + "\n", + "def show_totals():\n", + " districts = [State('Maine-1', 1, 0, 0, 0), State('Maine-2', 1, 0, 0, 0)]\n", + " totals = all_totals(states + districts)\n", + " for i in range(270):\n", + " print(f\"{i:3} [{' + '.join(totals[i])}]\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -280,7 +318,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -306,7 +344,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.2" + "version": "3.7.6" } }, "nbformat": 4,