Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I I Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University collaborators: I I I I I I Joseph Bafumi, Dept. of Political Science, Columbia David Park, Dept. of Political Science, Washington University Noah Kaplan, Dept. of Political Science, Texas A&M Gary King, Dept. of Political Science, Harvard Jonathan Katz, Div. of Social Science, Caltech Aaron Edlin, Dept. of Economics, UC Berkeley Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Polls and Presidential elections I Why do Presidential election campaign polls vary so much when votes are so predictable? I I How are pre-election polls conducted? How are Presidential elections forecasted? I Does the Electoral College favor one party or another? I What is the probability that the election is tied? I What is the probability that your vote makes a difference? I When and why is it rational to vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . First topic: Why do Presidential election campaign polls vary so much when votes are so predictable? I Presidential polls fluctuate wildly I But the candidates’ vote shares can be accurately forecast (within a few percentage points) months before the election I If voters are so fickle, how can they be predicted? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . First topic: Why do Presidential election campaign polls vary so much when votes are so predictable? I Presidential polls fluctuate wildly I But the candidates’ vote shares can be accurately forecast (within a few percentage points) months before the election I If voters are so fickle, how can they be predicted? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . First topic: Why do Presidential election campaign polls vary so much when votes are so predictable? I Presidential polls fluctuate wildly I But the candidates’ vote shares can be accurately forecast (within a few percentage points) months before the election I If voters are so fickle, how can they be predicted? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . First topic: Why do Presidential election campaign polls vary so much when votes are so predictable? I Presidential polls fluctuate wildly I But the candidates’ vote shares can be accurately forecast (within a few percentage points) months before the election I If voters are so fickle, how can they be predicted? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Pre-election polls I ABC, CBS, Gallup, etc. I Mostly random-digit-dial surveys (but other countries use face-to-face interviews) I Response rates below 30% I Over/undersample by sex, ethnicity, age, education, . . . I Weighting to adjust to Census I Can estimate state-level opinion from national polls using Bayesian hierarchical modeling I Also state polls, academic polls, internet polls, . . . Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do we trust the polls? I A poll is a snapshot, not a forecast I Polls taken just before the election are usually pretty accurate Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do we trust the polls? I A poll is a snapshot, not a forecast I Polls taken just before the election are usually pretty accurate Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Republican share of two-party preference in pre-election polls -100 -50 -150 -100 -50 0.6 0.4 0.2 Support for Republican candidate 0.6 -200 0 -200 -150 -100 -50 1976 1972 -100 -50 0 -200 -150 -100 -50 0.4 0.2 0.6 0.4 0.2 0.6 -150 0 -200 -150 -100 -50 1968 1964 1960 -50 0 -200 -150 Andrew Gelman -100 -50 0 0.4 0.2 0.6 0.4 0.2 0.6 0.4 -100 0 0.6 Days before election Support for Republican candidate Days before election Support for Republican candidate Days before election -150 0 0.6 1980 Support for Republican candidate Days before election Support for Republican candidate Days before election 0.2 -200 0.4 0 Days before election 0.4 -200 1984 0.2 Support for Republican candidate 0.6 0.4 -150 0.2 Support for Republican candidate -200 Support for Republican candidate 1988 0.2 Support for Republican candidate 1992 -200 -150 -100 Polls and Presidential Elections -50 0 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential election forecasting I 4 years ahead, 2 years ahead, 1 year, 4 months, 2 months, 2 weeks, . . . election night I 2 months before election: candidates have been chosen, final campaign still to go I Predict election outcome using polls, national economy, incumbency, candidates’ ideologies, state economic and political trends, home states, home regions I Fit model using elections since 1948, use to predict current election I Errors at state, regional, national levels I Can also use this model on election night (Bayesian inference, combine with exit poll and vote data) Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential election forecasting I 4 years ahead, 2 years ahead, 1 year, 4 months, 2 months, 2 weeks, . . . election night I 2 months before election: candidates have been chosen, final campaign still to go I Predict election outcome using polls, national economy, incumbency, candidates’ ideologies, state economic and political trends, home states, home regions I Fit model using elections since 1948, use to predict current election I Errors at state, regional, national levels I Can also use this model on election night (Bayesian inference, combine with exit poll and vote data) Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential election forecasting I 4 years ahead, 2 years ahead, 1 year, 4 months, 2 months, 2 weeks, . . . election night I 2 months before election: candidates have been chosen, final campaign still to go I Predict election outcome using polls, national economy, incumbency, candidates’ ideologies, state economic and political trends, home states, home regions I Fit model using elections since 1948, use to predict current election I Errors at state, regional, national levels I Can also use this model on election night (Bayesian inference, combine with exit poll and vote data) Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential election forecasting I 4 years ahead, 2 years ahead, 1 year, 4 months, 2 months, 2 weeks, . . . election night I 2 months before election: candidates have been chosen, final campaign still to go I Predict election outcome using polls, national economy, incumbency, candidates’ ideologies, state economic and political trends, home states, home regions I Fit model using elections since 1948, use to predict current election I Errors at state, regional, national levels I Can also use this model on election night (Bayesian inference, combine with exit poll and vote data) Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential election forecasting I 4 years ahead, 2 years ahead, 1 year, 4 months, 2 months, 2 weeks, . . . election night I 2 months before election: candidates have been chosen, final campaign still to go I Predict election outcome using polls, national economy, incumbency, candidates’ ideologies, state economic and political trends, home states, home regions I Fit model using elections since 1948, use to predict current election I Errors at state, regional, national levels I Can also use this model on election night (Bayesian inference, combine with exit poll and vote data) Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential election forecasting I 4 years ahead, 2 years ahead, 1 year, 4 months, 2 months, 2 weeks, . . . election night I 2 months before election: candidates have been chosen, final campaign still to go I Predict election outcome using polls, national economy, incumbency, candidates’ ideologies, state economic and political trends, home states, home regions I Fit model using elections since 1948, use to predict current election I Errors at state, regional, national levels I Can also use this model on election night (Bayesian inference, combine with exit poll and vote data) Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Forecast for 2004 I National forecast from Wlezien and Erikson based on polls and economic indicators: 51.7% (±2.5%) for Bush I Take relative positions of states from 2000, correct for home-state effects I (Better state-level forecasting is possible) I Add forecasting errors at state, regional, and national levels Forecast for each state and entire U.S. I I I I 66% chance Bush wins Florida 75% chance Bush wins majority of U.S. popular vote U.S. electoral vote: 320 for Bush (probably between 280 and 360), 80% chance Bush wins election Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do Presidential election campaign polls vary so much when votes are so predictable? I Question wording? I I I I Some surveys ask “If the election were held tomorrow. . . ” Some surveys ask “Which candidate will you definitely vote for?” Different nonresponse rates but no effect on % support for each candidate Undecided voters? I No trends during the campaign Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do Presidential election campaign polls vary so much when votes are so predictable? I Question wording? I I I I Some surveys ask “If the election were held tomorrow. . . ” Some surveys ask “Which candidate will you definitely vote for?” Different nonresponse rates but no effect on % support for each candidate Undecided voters? I No trends during the campaign Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do Presidential election campaign polls vary so much when votes are so predictable? I Question wording? I I I I Some surveys ask “If the election were held tomorrow. . . ” Some surveys ask “Which candidate will you definitely vote for?” Different nonresponse rates but no effect on % support for each candidate Undecided voters? I No trends during the campaign Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do Presidential election campaign polls vary so much when votes are so predictable? I Question wording? I I I I Some surveys ask “If the election were held tomorrow. . . ” Some surveys ask “Which candidate will you definitely vote for?” Different nonresponse rates but no effect on % support for each candidate Undecided voters? I No trends during the campaign Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do Presidential election campaign polls vary so much when votes are so predictable? I Question wording? I I I I Some surveys ask “If the election were held tomorrow. . . ” Some surveys ask “Which candidate will you definitely vote for?” Different nonresponse rates but no effect on % support for each candidate Undecided voters? I No trends during the campaign Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Why do Presidential election campaign polls vary so much when votes are so predictable? I Question wording? I I I I Some surveys ask “If the election were held tomorrow. . . ” Some surveys ask “Which candidate will you definitely vote for?” Different nonresponse rates but no effect on % support for each candidate Undecided voters? I No trends during the campaign Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Uniform partisan swing I Who’s doing the fluctuating? I All groups move together I Even during each Democratic and Republican conventions, all groups move in the same direction (“uniform swing”) Consider a voter polled before the Republican convention: I I I “Now I plan to vote for Kerry, but in a week I plan to switch to Bush.” Voters do not (on average) discount for expected future events! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Uniform partisan swing I Who’s doing the fluctuating? I All groups move together I Even during each Democratic and Republican conventions, all groups move in the same direction (“uniform swing”) Consider a voter polled before the Republican convention: I I I “Now I plan to vote for Kerry, but in a week I plan to switch to Bush.” Voters do not (on average) discount for expected future events! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Uniform partisan swing I Who’s doing the fluctuating? I All groups move together I Even during each Democratic and Republican conventions, all groups move in the same direction (“uniform swing”) Consider a voter polled before the Republican convention: I I I “Now I plan to vote for Kerry, but in a week I plan to switch to Bush.” Voters do not (on average) discount for expected future events! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Uniform partisan swing I Who’s doing the fluctuating? I All groups move together I Even during each Democratic and Republican conventions, all groups move in the same direction (“uniform swing”) Consider a voter polled before the Republican convention: I I I “Now I plan to vote for Kerry, but in a week I plan to switch to Bush.” Voters do not (on average) discount for expected future events! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Uniform partisan swing I Who’s doing the fluctuating? I All groups move together I Even during each Democratic and Republican conventions, all groups move in the same direction (“uniform swing”) Consider a voter polled before the Republican convention: I I I “Now I plan to vote for Kerry, but in a week I plan to switch to Bush.” Voters do not (on average) discount for expected future events! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Uniform partisan swing I Who’s doing the fluctuating? I All groups move together I Even during each Democratic and Republican conventions, all groups move in the same direction (“uniform swing”) Consider a voter polled before the Republican convention: I I I “Now I plan to vote for Kerry, but in a week I plan to switch to Bush.” Voters do not (on average) discount for expected future events! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Presidential Support by Group 0.6 0.8 -50 0 -200 -150 -100 Race Region -50 0 -50 0 0.8 0.6 W S E MW 0.2 0.4 0.6 Bush support 0.8 1.0 Days before election 0.4 0.0 non-wh -100 -50 0 -200 -150 -100 Days before election Days before election Sex Income 0.8 0.6 Bush support 0.8 1.0 -150 1.0 -200 0.2 high mid-hi mid-lo low 0.0 0.0 0.2 M F 0.6 Bush support 0.4 Bush support -100 0.0 0.2 lib Days before election 1.0 -150 white 0.4 mod 0.0 Dem -200 Bush support cons 0.2 Ind 0.4 0.4 0.6 0.8 Rep 0.0 0.2 Bush support 1.0 Ideology 1.0 Party -200 -150 -100 -50 Gelman 0 Andrew -200 and Presidential -150 -100 Elections -50 Polls 0 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Changes in Presidential campaign polls during Democratic and Republican conventions, 1964-1992 (conventions in 1988 circled) 0.6 RR d R d d 0.5 R d R 0.4 d R d R 0.3 Republican support after the convention R d 0.3 d 0.4 0.5 0.6 Republican support before the convention Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Moving toward a predictable outcome I I You can predict a voter’s preference given “demographics”: sex, ethnicity, age, education, political ideology, party identification This prediction improves as the campaign goes on I I I Fit model to a series of polls before the 2000 election The coefficients for the predictors increase The residual error of the model decreases Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Moving toward a predictable outcome I I You can predict a voter’s preference given “demographics”: sex, ethnicity, age, education, political ideology, party identification This prediction improves as the campaign goes on I I I Fit model to a series of polls before the 2000 election The coefficients for the predictors increase The residual error of the model decreases Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Moving toward a predictable outcome I I You can predict a voter’s preference given “demographics”: sex, ethnicity, age, education, political ideology, party identification This prediction improves as the campaign goes on I I I Fit model to a series of polls before the 2000 election The coefficients for the predictors increase The residual error of the model decreases Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Moving toward a predictable outcome I I You can predict a voter’s preference given “demographics”: sex, ethnicity, age, education, political ideology, party identification This prediction improves as the campaign goes on I I I Fit model to a series of polls before the 2000 election The coefficients for the predictors increase The residual error of the model decreases Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Moving toward a predictable outcome I I You can predict a voter’s preference given “demographics”: sex, ethnicity, age, education, political ideology, party identification This prediction improves as the campaign goes on I I I Fit model to a series of polls before the 2000 election The coefficients for the predictors increase The residual error of the model decreases Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . Increasing coefficients for fundamental predictors Female Education Age 30−44 50 150 100 50 0 150 100 50 0.5 −0.5 Logistic Coefficient 200 −1.5 0.2 −0.2 Logistic Coefficient 200 −0.6 0.0 0 0 200 150 100 50 Age 65+ Income Party ID 50 0 200 150 100 50 Ideology South 50 0 100 50 1.0 0.0 0.2 150 0 Days Before Election 0.5 0.0 Logistic Coefficient 100 200 −0.5 0.8 0.4 150 Days Before Election 0 1.0 Days Before Election −0.2 Logistic Coefficient −0.5 Logistic Coefficient 100 −1.5 0.5 150 Days Before Election 200 150 100 50 0 Days Before Election Andrew Gelman 0 2.0 Age 45−64 Logistic Coefficient Days Before Election 0.5 Days Before Election 1.5 Days Before Election 0.0 200 −0.5 Logistic Coefficient 100 1.2 200 Logistic Coefficient 150 Days Before Election −1.5 −0.5 Logistic Coefficient 200 −1.0 0 −2 −4 Logistic Coefficient 0.6 Black Polls and Presidential Elections 200 150 100 50 Days Before Election 0 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . 0.5 0.4 Deviance per Observation 0.6 0.7 Decreasing residual error of model of individual vote 200 150 100 50 Days Before Election Andrew Gelman Polls and Presidential Elections 0 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . 0.85 0.80 0.75 0.70 0.65 0.60 0.55 Coefficient of 1996 Fundamentals Predicting 2000 Vote Choice 0.90 Increasing predictive power for new data 200 150 100 50 Days Before Election Andrew Gelman Polls and Presidential Elections 0 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . The random-walk and mean-reversion models I Random-walk model: voters are bounced around by campaign events, then the election comes I Mean-reversion model: voters will mostly end up where predicted. It just takes them awhile to get there I Mean-reversion model fits the data better, also explains why polls vary so much when elections are so predictable Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . The random-walk and mean-reversion models I Random-walk model: voters are bounced around by campaign events, then the election comes I Mean-reversion model: voters will mostly end up where predicted. It just takes them awhile to get there I Mean-reversion model fits the data better, also explains why polls vary so much when elections are so predictable Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? How are pre-election polls conducted? How are Presidential elections forecasted? Why do Presidential election campaign polls vary so much . . . The random-walk and mean-reversion models I Random-walk model: voters are bounced around by campaign events, then the election comes I Mean-reversion model: voters will mostly end up where predicted. It just takes them awhile to get there I Mean-reversion model fits the data better, also explains why polls vary so much when elections are so predictable Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: Does the Electoral College favor one party or the other? I To find out, use state-by-state forecasts for each election year I Forecasts are uncertain (probabilistic) I What is Pr(Democrats win in electoral college), if they receive X% of the popular vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: Does the Electoral College favor one party or the other? I To find out, use state-by-state forecasts for each election year I Forecasts are uncertain (probabilistic) I What is Pr(Democrats win in electoral college), if they receive X% of the popular vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: Does the Electoral College favor one party or the other? I To find out, use state-by-state forecasts for each election year I Forecasts are uncertain (probabilistic) I What is Pr(Democrats win in electoral college), if they receive X% of the popular vote? Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Total vote share 0.50 0.52 Percentage of the popular vote required for Democrats to have a given chance of winning the Electoral College 95% chance 50% chance 0.48 5% chance 1950 1960 1970 1980 year Andrew Gelman 1990 Polls and Presidential Elections 2000 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that the Electoral College will be tied? Use the state-by-state forecast for 2004 Estimated probability is 0.05 (1 in 200) Combinatorics is not an issue I I #states is large Central Limit Theorem takes over Probability 0.004 0.008 I I 0.000 I 100 200 300 Electoral votes for Bush Andrew Gelman 400 Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that the Electoral College will be tied? Use the state-by-state forecast for 2004 Estimated probability is 0.05 (1 in 200) Combinatorics is not an issue I I #states is large Central Limit Theorem takes over Probability 0.004 0.008 I I 0.000 I 100 200 300 Electoral votes for Bush Andrew Gelman 400 Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that the Electoral College will be tied? Use the state-by-state forecast for 2004 Estimated probability is 0.05 (1 in 200) Combinatorics is not an issue I I #states is large Central Limit Theorem takes over Probability 0.004 0.008 I I 0.000 I 100 200 300 Electoral votes for Bush Andrew Gelman 400 Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that the Electoral College will be tied? Use the state-by-state forecast for 2004 Estimated probability is 0.05 (1 in 200) Combinatorics is not an issue I I #states is large Central Limit Theorem takes over Probability 0.004 0.008 I I 0.000 I 100 200 300 Electoral votes for Bush Andrew Gelman 400 Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that the Electoral College will be tied? Use the state-by-state forecast for 2004 Estimated probability is 0.05 (1 in 200) Combinatorics is not an issue I I #states is large Central Limit Theorem takes over Probability 0.004 0.008 I I 0.000 I 100 200 300 Electoral votes for Bush Andrew Gelman 400 Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that your vote will be decisive? I I Pr(your state is tied) × Pr(your state’s electoral votes are needed, given that your state is tied) A state with N voters and E electoral votes I I I I approx. Pr(your state is tied) ∝ 1/N approx. Pr(your state’s electoral votes are needed) ∝ E approx. Pr(your vote is decisive) ∝ E /N Higher for small states and states closer to the national average Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that your vote will be decisive? I I Pr(your state is tied) × Pr(your state’s electoral votes are needed, given that your state is tied) A state with N voters and E electoral votes I I I I approx. Pr(your state is tied) ∝ 1/N approx. Pr(your state’s electoral votes are needed) ∝ E approx. Pr(your vote is decisive) ∝ E /N Higher for small states and states closer to the national average Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that your vote will be decisive? I I Pr(your state is tied) × Pr(your state’s electoral votes are needed, given that your state is tied) A state with N voters and E electoral votes I I I I approx. Pr(your state is tied) ∝ 1/N approx. Pr(your state’s electoral votes are needed) ∝ E approx. Pr(your vote is decisive) ∝ E /N Higher for small states and states closer to the national average Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that your vote will be decisive? I I Pr(your state is tied) × Pr(your state’s electoral votes are needed, given that your state is tied) A state with N voters and E electoral votes I I I I approx. Pr(your state is tied) ∝ 1/N approx. Pr(your state’s electoral votes are needed) ∝ E approx. Pr(your vote is decisive) ∝ E /N Higher for small states and states closer to the national average Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that your vote will be decisive? I I Pr(your state is tied) × Pr(your state’s electoral votes are needed, given that your state is tied) A state with N voters and E electoral votes I I I I approx. Pr(your state is tied) ∝ 1/N approx. Pr(your state’s electoral votes are needed) ∝ E approx. Pr(your vote is decisive) ∝ E /N Higher for small states and states closer to the national average Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Next topic: What is the chance that your vote will be decisive? I I Pr(your state is tied) × Pr(your state’s electoral votes are needed, given that your state is tied) A state with N voters and E electoral votes I I I I approx. Pr(your state is tied) ∝ 1/N approx. Pr(your state’s electoral votes are needed) ∝ E approx. Pr(your vote is decisive) ∝ E /N Higher for small states and states closer to the national average Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote What is the chance that your vote will be decisive? Pr (individual voter is decisive) 4*10^-8 10^-7 NM WV AR AZ VTNV NH IA ME DE OH TN OR FL PA MO WI MI MN LA WA VA CO HI SD GA NC MS SC KYAL ND AK MT CA NJ CT MD WYRI IL IN KS OK NE 0 ID DC UT 0 TXNY MA 10 20 30 40 Number of electoral votes for the state Andrew Gelman Polls and Presidential Elections 50 Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote A mathematical digression I I We said Pr(your state is tied) ∝ 1/N Simple “binomial model” of random votes I I √ Mean proportion √ of votes for Democrat is 0.5, sd is 0.5/ N Pr(tie) ∝ 1/ N I Binomial model implies that elections in large states are much closer than in small states I Binomial model does not fit actual election data! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote A mathematical digression I I We said Pr(your state is tied) ∝ 1/N Simple “binomial model” of random votes I I √ Mean proportion √ of votes for Democrat is 0.5, sd is 0.5/ N Pr(tie) ∝ 1/ N I Binomial model implies that elections in large states are much closer than in small states I Binomial model does not fit actual election data! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote A mathematical digression I I We said Pr(your state is tied) ∝ 1/N Simple “binomial model” of random votes I I √ Mean proportion √ of votes for Democrat is 0.5, sd is 0.5/ N Pr(tie) ∝ 1/ N I Binomial model implies that elections in large states are much closer than in small states I Binomial model does not fit actual election data! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote A mathematical digression I I We said Pr(your state is tied) ∝ 1/N Simple “binomial model” of random votes I I √ Mean proportion √ of votes for Democrat is 0.5, sd is 0.5/ N Pr(tie) ∝ 1/ N I Binomial model implies that elections in large states are much closer than in small states I Binomial model does not fit actual election data! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote A mathematical digression I I We said Pr(your state is tied) ∝ 1/N Simple “binomial model” of random votes I I √ Mean proportion √ of votes for Democrat is 0.5, sd is 0.5/ N Pr(tie) ∝ 1/ N I Binomial model implies that elections in large states are much closer than in small states I Binomial model does not fit actual election data! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote A mathematical digression I I We said Pr(your state is tied) ∝ 1/N Simple “binomial model” of random votes I I √ Mean proportion √ of votes for Democrat is 0.5, sd is 0.5/ N Pr(tie) ∝ 1/ N I Binomial model implies that elections in large states are much closer than in small states I Binomial model does not fit actual election data! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote 0.0 Proportional vote differential 0.2 0.4 0.6 0.8 Historical Pres. elections by state: vote margins vs. N . . . . . . . .. . . . . . ... .. ... . ... .. .. . . .. . . . . ..... .. . . . . . . . . . .. ... . . . . . ... . . . . . .. . . . ..... . .. .... . . . . . . ........... . .. . .. . . . ... . .. .... . .. . . . . . ........ .. .. .. . . . . . . . . . . . . . ...... . ... . ... . . . . . . . .. .... .. . .. .. . .... . . . . .. . . .. .. . ... .. .. .... .. . . ......... .. . . .... ... . .. . . . . . . . .. . . ..... . . ...... . . .. ...... . ... ... ..... .. . .. . .. . . . .... .. . ..... .... ..... . ... . . . . . . .. . .. . . .... ....... ... ....... ... . . . .. . .. . . . . . . . . . . .. .. . . . . .. .. . . . .............. ... .......... ........... . ... . .. .. . . . .. .. .... . . .. . . . .. . . . . . . 0 . . . . . . . . lowess fit alpha = -0.16 alpha = -0.5 2*10^6 6*10^6 10^7 Total vote for the two leading candidates Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Tie in the electoral vote Tie in the popular vote Other electoral systems: vote margins vs. N . . . alpha = -0.23 lowess fit . alpha = -0.5 0 4*10^6 8*10^6 1.2*10^7 Total vote for the two leading candidates Proportional vote differential 0.2 0.4 0.6 0.8 . 0.0 Proportional vote differential 0.2 0.4 0.6 0.8 0.0 . .. .. . . . . .. . . .. ... . . ... . . . . . .. . . .... ..... . . . .. . . . . . ... . . .. .... . . . . ...... .. .. . . . . .. . .. . . . .. . . . .. .... . .. . . . . .. .. . . . . . . . ....... .. ... . . .. .. . . . .... . . ..... . ..... .. ..... . ...... . . . . . . . . . ... ... . lowess fit . 0.0 alpha = -0.5 Proportional vote differential 0.2 0.4 0.6 0.8 alpha = 0.06 . ........... .. . .. .. . . . . ............... ........................................ ... ......... ... .. . . . ................................ ......... .. . . .... . ......... ... ............... . .. . . . ....................... ............. ........................................... ..... .... .. .. . .. .. . . .................................................................... ....... ... ...... .. .. . . . . . ............................................ ....................... .. . ..... . ................. ........................................... .. . .. .. .. . . . ................................................................................................................................. ... . . . .. ... .. ... . .. . . . . .. .. .............................................................................................................................................. .. . .. . . . . ...................................................................................................................................................................... .. . . ................... . .. . . .................................................................................................................................... . ..... .. ... ... . ............. . . .... ......... ..... .. ............................................................................................................................................................................................................... .. . . ..................................................................................................................................................................................... ..................... . . .. ............................................................................................................................................................................. .... ...................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................ ...... ...... . . .. . . ................................................................... ..... ............................ .. . . . .................................. ....... .......................................................................................................... . . .. ... . .. .................................................................................................................................................. . ........................................................................... ... .. . ............... ....................................................................................................................................................................................... ............... . . .... . . ....................................... . ......................... .......... ......................................................................................................................................................... .... . ................. . . . .. . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ................ ......... . .. . . ...................................................................................................... .. . ...................... . ............................................................................. ... ... ............................................................................................................................................................................................................................................................................... ....... .. . .. . ................................................................................................................................................................. ........ .. .. .. ........ ........ ......... .............................................. .. . . ................................................. ..... .. . .... ....... . .. .. . . ............................................................................................................................................................................................ . . .................................................................................................................. .................................. ......... ........................ .................. .. .. . . .. . . . .. . ... ................... ..................... ... ........ ............. ...................................................................................................................................... ... .... . ............................................................. ..................... .......... ... ................................................. ........ . .. .. . ............................................... .................................................................. ............................. ...................................................... . ... .................................. ............. ....... ..... .... ........... ..... ................... .. ............................................................................................................................................................. ..... . . ....... lowess fit alpha = -0.11 . . alpha = -0.5 . 0 50000 150000 250000 Total vote for the two leading candidates 0 200000 400000 600000 Total vote for the two leading candidates U.S. statewide offices European national elections U.S. Senate elections . . . U.S. Congressional elections . . . . .. . .. . .. . . . .. ... . .. .. . . . . .. . .... . ... ... . .. . . . . .. . . . . . .. .... ........ ... . . ..... ... . . . .. ..... .. ....... .. . .... .. . . . . . ... ... .. .. ......... .......... . .. .. .. ... . . . . . ...... . . . . . .. . . . . . . .. .. . . .. .. . . .. . .. . . . . alpha = -0.01 . . lowess fit = -0.5 Proportional vote differential 0.2 0.4 0.6 0.8 0 20000 60000 100000 Total vote for the two leading candidates . . . .. . .. . ... ..... . . . .. . . . .. .. . .... . .. . . . . . . ......... . .. . .. . .. ......... . .... . . . ....... ..... ... .. .. . .. .... .. . .. ....... . . . . . . . . . ... . . ............. .... .. ... . .... . . . ............ ... ..... . .. ....... ...... . .. . . . . . . . .. . . ...... . ...... .... . . ......................... . . . ...... . . . .. . .. . . . . . .. . ............................................ .... .. . . .. . . . ... . .. .. . . . .. ...... ... . .. . . ....................................... ... ............ ..... . . . . .. .. . ................... ..... .. ..... . .... .. .... . . ...... . . ............................................................. ......... ......... . . .......... ..... .................................... . .... .... ... . . . . . ................................... .. . ... . . .. .... ..... . .. .. . . . . . .. . .. ........................................................... ..... ........... .. ... ..... ... ....... . . .................................. ....... .. . ..... .. . . . ............................... . ... ........ . . .. ...... . .............................................. ... .... ...... .. . . .. . . . . .......................................................................... .......... .. . . .. . .. . .. . . ...................... .............. .. .. .... . . ... . . . . ............................ . .... ...... ... . . . .. ......................... . . . . . . . . . . . ...................................... ... . . . . . . ..................................... ........ . ....... . .. .... . .. . . . . . ......................................... . . . . .. ...... .. . .. .... . . . . . . .. . . ..................... .......................................................... .. ..... .. .... ..... . .... . .. . .. .. ... .. . . .. ............................................................................... ...... ..... ..... .... . . . . alpha 0 4*10^6 8*10^6 1.4*10^7 Total vote for the two leading candidates Andrew Gelman 0.0 Proportional vote differential 0.2 0.4 0.6 0.8 U.S. state senate elections 0.0 0.0 Proportional vote differential 0.2 0.4 0.6 0.8 U.S. state house elections . ... .... . .. .. .. . . .. .. . . ... . .. . .. . . . .... ............ .. .. ........... . .. . .... . . . . . . .. . . . . .. .... . .. . ... . .... . . . ..... ... ... ....... .. .................. ... . .. .. . .. . .. . ...... ..... .... ................ ..... .. ..... . . .. . . .. ... ... . . ... .. ..... .. . . . ..................................... .................... ..... . .. . . .. . . . . . . . . . . . . . . . ................ .............. .... .. ... . . .. . . .. .. .. .. . . .. .. .. ................. ................. ... ... . ......................................................... ..................................... .... ...... ....... .. .. .. . . . . ......... ........ ......... ....... . . .. . . ................................................................................................................................. .... .. .... .. . .... .. . . .. . .. .. . .. .... . . . . . . ........................................................................................................... ............ ............... .............. .... ..... . ................................................................................... ...... .......... ...... ........... .. ............................................................... . . . .. . . . .. . ... . . . .................................................................................................................... .... .. . .. .. . ........................................................................................................................................................ ........................ ....... .... ....... . . . ........................................................................................................................................ .............. . ....... . ........................................ ................................................................................................................. ................ . . . . ............................................. ............ .. . . . .. .. ............................................................................................................. alpha = 0.08 .............................................................................................................................................................. ..... ........... ........... .. . . ................................... ........................................................ ............. . . . . . . . .. ........ ... .. .. ............ .. .. .. .. . .. . . . . . . .. ............................................................................................................................................................................. ................... ............. ... . . .. . . . . . . ........ .. .. .. . lowess fit . .............................................................................................................................................................................. ............... .. .. ..... . . ....................... . .............................................. ................. .. .. .. .... . . .. . . ........ .. . .. ..... .. .... ... . . .... . .. ................................................ ....................................................................................................................................................................... . .. . ... . .. ............................. ................................................................................................ .... .. . ...... ..... .. . ... . . ....... . . ... . .... . . .... . ... ... ............................................... . . .. ........................................................................... ....... .. . .. . .. .. . ...................................................................... alpha = -0.5 ....................................................................................................................................................... .. ... .......... . . . . . ................ . ....................................................................................................................................................................................... .. .... .. . ... ..... . .. . . .. ................ .......... .. .... .... . . .. . . .. ....... . . .. .... . . . .. . .... . . . . ... .. . . .. .. .. .. ... . . .. . .. .... .. .. . . .. .. ..... .. . . . . . .... ..... .. ... .. ....... ... . . .... . .. . . .. ....... .. ....... .... .. . .. . ..... ..... . . . . . . . . . . . . .. . . .. . . . . . . .. . .. . .. . . . .. . . . . . . .. .. .. .. . . . . . .. . alpha = -0.07 . . lowess fit alpha = -0.5 0 10^7 3*10^7 Total vote for the two leading candidates Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Next topic: When and why is it rational to vote? I I The probability of your vote being decisive is about 1 in 10 million, so why vote? Utility calculation: ∆U = pB − c I I I I I ∆U = utility from voting p = probability that your vote changes the election outcome B = your benefit from your preferred candidate winning c = net cost of voting Suppose p = 10−7 and B = $1000. Then pB = 1/100 of a cent! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: typical explanations I I (Utility calculation: ∆U = pB − c) Maybe p is overestimated I I But even if p = 10−3 , the product pB is only $1! Maybe the net “cost” c is negative I I I Voting is fun! Or a “civic duty”: you feel bad if you didn’t vote But then you have no motivation to increase the chance that your candidate will win! Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Rationality and voting: our explanation I I (Utility calculation: ∆U = pB − c) B = Bself + αNBsoc I I I I Bself = individual benefit of your candidate winning Bsoc = your view of the average social benefit of your candidate winning α < 1 implying that you care less about other people than yourself α > 0 implying that you are not completely selfish I Now B is proportional to N, and so it can be rational to act so as to improve your candidate’s chance of winning I Feedback keeps voter turnout stable: if turnout declines, then p increases, and it becomes more compelling to vote Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections Pre-election polls and forecasting Partisan bias in the electoral college? Probability the election is tied When and why is it rational to vote? Summary I Short-term political tactics aren’t so important—even if the polls jump around I Elections are predictable given fundamental variables and campaign resources I The Electoral College does not favor either party I The Electoral College favors voters in small states (so does the U.S. Senate!) I National opinion moves in synch I Pr(your vote is decisive) ≈ 10−7 I But voting is rational if you think your guy can make the country a better place! I The rational reason for voting is altruistic Andrew Gelman Polls and Presidential Elections
© Copyright 2026 Paperzz