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送交者: FVCK 2023月02月13日13:34:12 於 [五 味 齋] 發送悄悄話
回  答: 方舟子對疫苗的新看法FVCK 於 2023-02-13 13:22:14

圖片.png

Track Record - Election Betting Odds

By Maxim Lott

Updated Dec 11, 2022

ElectionBettingOdds.com has tracked some 807 different candidate chances across dozens of races between 2016 and December 2022.

How accurate has this site been?

When a candidate favored by bettors loses,
it's easy to fall into the trap of thinking the bettors were "wrong".
But remember that when bettors give someone, for example, a 75% chance
to win -- that also means the bettors give the person a 25% chance to lose.

The following graph shows how closely the betting tracked reality.

The blue line shows what predictions would
look like if they were perfect. The orange line shows how often bettors'
predictions within different ranges (e.g., between 60-80%) actually
came to pass. Where the orange line differs from the blue line, the
predictions were off somewhat:

We can see that, using these prediction
ranges spanning 20 percentage points, ElectionBettingOdds.com was
extremely accurate. For example, out of all candidates who were given
between a 20 and 40% chance of winning at 8am on election day, 27.6% of
them actually won.

We do also see some systematic "underdog"
bias at the edges. For example, for candidates in the 0% to 20% range,
bettors gave an average prediction of a 5.4% chance. Yet, only 1.7% of
those candidates actually ended up winning. The inverse occurs for
highly-favored candidates, who should have been given even higher odds.
This bias has been in part caused by regulatory trading limits on
bettors at PredictIt, which prevents savvy traders on that market from
making much money by correcting such odds.

The graph below holds predictions to a more precise standard -- 10% intervals, with smaller sample sizes.

We can also see that the accuracy of the
odds has been improving over time, as the number of races tracked has
risen and reduced randomness. For comparison, here was the same graph
after our 2018 update, where some 450 candidate chances had been
tracked:

How does all the above compare to other
outlets? For a detailed comparison to the predictions of the best
forecaster (Nate Silver's 538) see here.
That analysis goes all the way from 2016-2022, and does a precise
apples-to-apples comparison between the two prediction methods.
Considering "experts" and models more broadly, several studies suggest
that betting beats listening only to polls. See this one in Public Opinion Quarterly. Also, a study by the author of Superforecasting got smart people to make predictions for study of their accuracy:

I managed to recruit 284 serious
professionals, card-carrying experts whose livelihoods involved
analyzing political and economic trends and events... Almost all had
postgraduate training; half had PhDs...

In the end:

the average expert was roughly as accurate as a dart-throwing chimpanzee.

Certain groups of pundits - namely
ideological ones and those with frequent TV appearances - actually did
worse than dart-throwing chimpanzees.

Note: This post has been updated with all
elections tracked, up through December 2022. To see the old graphs with
only data going up to 2018, see here.
For an even older page, with only 2016 data, see here.

To come: an analysis looking at more
predictions made by the site over time (say, a week before an election,
or a month) -- as opposed to data used in the above graph, which just
looks at a single prediction for each candidate, taken on the morning of
the election.

As an aside, here were the biggest upsets
we've tracked (which is unchanged since the 2018 update.) The following
candidates were big underdogs in the betting. All won:

CANDIDATESTATEEBO Probability
CruzOK4.7%
CruzME6.4%
SandersMI8.4%
TrumpWI General Election12.5%
REP SenWI General Election - Senate13.5%
TrumpUSA General Election20.2%
TrumpPA General Election20.6%
SandersIN22.0%
REP SenPA General Election - Senate23.0%
TrumpMI General Election24.8%
SandersMN24.9%
LeaveBrexit24.9%

Below is ElectionBettingOdds.com's full
track record, sorted by date. Send any questions or comments to Maxim
Lott at maxim.lott@gmail.com or at @maximlott on Twitter. The graphs above are based on these data.

YearGeneral/PrimaryStateTypeCANDIDATEEBO ProbabilityWIN?1=yes, 0=noBrier score
2016BrexitIntl.UKLeave24.9%Won10.5640
2016BrexitIntl.UKStay75.1%Lost00.5640
2016GeneralAKPresidentClinton14.5%Lost00.0210
2016GeneralAKPresidentTrump85.5%Won10.0210
2016GeneralAKSenateDemocrat6.4%Lost00.0041
2016GeneralAKSenateRepublican93.6%Won10.0041
2016GeneralALPresidentClinton2.5%Lost00.0006
2016GeneralALPresidentTrump97.5%Won10.0006
2016GeneralARPresidentClinton3.5%Lost00.0012
2016GeneralARPresidentTrump96.5%Won10.0012
2016GeneralAZPresidentClinton25.0%Lost00.0625
2016GeneralAZPresidentTrump75.0%Won10.0625
2016GeneralAZSenateDemocrat5.5%Lost00.0030
2016GeneralAZSenateRepublican94.5%Won10.0030
2016GeneralCAPresidentClinton96.0%Won10.0016
2016GeneralCAPresidentTrump4.0%Lost00.0016
2016GeneralCOPresidentClinton79.0%Won10.0441
2016GeneralCOPresidentTrump21.5%Lost00.0462
2016GeneralCOSenateDemocrat92.5%Won10.0056
2016GeneralCOSenateRepublican7.5%Lost00.0056
2016GeneralCTPresidentClinton94.0%Won10.0036
2016GeneralCTPresidentTrump6.0%Lost00.0036
2016GeneralDEPresidentClinton95.5%Won10.0020
2016GeneralDEPresidentTrump4.5%Lost00.0020
2016GeneralFLPresidentClinton66.8%Lost00.4462
2016GeneralFLPresidentTrump33.2%Won10.4462
2016GeneralFLSenateDemocrat14.1%Lost00.0199
2016GeneralFLSenateRepublican85.9%Won10.0199
2016GeneralGAPresidentClinton13.9%Lost00.0193
2016GeneralGAPresidentTrump86.1%Won10.0193
2016GeneralHIPresidentClinton96.0%Won10.0016
2016GeneralHIPresidentTrump4.0%Lost00.0016
2016GeneralIAPresidentClinton25.0%Lost00.0625
2016GeneralIAPresidentTrump75.0%Won10.0625
2016GeneralIASenateDemocrat2.5%Lost00.0006
2016GeneralIASenateRepublican97.5%Won10.0006
2016GeneralIDPresidentClinton3.5%Lost00.0012
2016GeneralIDPresidentTrump96.5%Won10.0012
2016GeneralILPresidentClinton95.5%Won10.0020
2016GeneralILPresidentTrump4.5%Lost00.0020
2016GeneralILSenateDemocrat95.1%Won10.0024
2016GeneralILSenateRepublican4.9%Lost00.0024
2016GeneralINPresidentClinton4.5%Lost00.0020
2016GeneralINPresidentTrump95.5%Won10.0020
2016GeneralINSenateDemocrat33.5%Lost00.1122
2016GeneralINSenateRepublican66.0%Won10.1156
2016GeneralKSPresidentClinton4.0%Lost00.0016
2016GeneralKSPresidentTrump96.0%Won10.0016
2016GeneralKYPresidentClinton3.5%Lost00.0012
2016GeneralKYPresidentTrump96.5%Won10.0012
2016GeneralLAPresidentClinton2.5%Lost00.0006
2016GeneralLAPresidentTrump97.5%Won10.0006
2016GeneralLASenateDemocrat14.8%Lost00.0219
2016GeneralLASenateRepublican85.2%Won10.0219
2016GeneralMAPresidentClinton96.5%Won10.0012
2016GeneralMAPresidentTrump3.5%Lost00.0012
2016GeneralMDPresidentClinton97.5%Won10.0006
2016GeneralMDPresidentTrump2.5%Lost00.0006
2016GeneralMDSenateDemocrat97.0%Won10.0009
2016GeneralMDSenateRepublican2.5%Lost00.0006
2016GeneralMEPresidentClinton83.9%Won10.0259
2016GeneralMEPresidentTrump16.1%Lost00.0259
2016GeneralMIPresidentClinton75.2%Lost00.5655
2016GeneralMIPresidentTrump24.8%Won10.5655
2016GeneralMNPresidentClinton89.0%Won10.0121
2016GeneralMNPresidentTrump11.0%Lost00.0121
2016GeneralMOPresidentClinton5.4%Lost00.0029
2016GeneralMOPresidentTrump94.6%Won10.0029
2016GeneralMOSenateDemocrat41.0%Lost00.1681
2016GeneralMOSenateRepublican59.0%Won10.1681
2016GeneralMSPresidentClinton2.5%Lost00.0006
2016GeneralMSPresidentTrump97.0%Won10.0009
2016GeneralMTPresidentClinton6.0%Lost00.0036
2016GeneralMTPresidentTrump94.0%Won10.0036
2016GeneralNationalPresidentClinton79.5%Lost00.6320
2016GeneralNationalPresidentJohnson0.1%Lost00.0000
2016GeneralNationalPresidentMcMullin0.1%Lost00.0000
2016GeneralNationalPresidentStein0.1%Lost00.0000
2016GeneralNationalPresidentTrump20.2%Won10.6368
2016GeneralNCPresidentClinton54.4%Lost00.2959
2016GeneralNCPresidentTrump45.6%Won10.2959
2016GeneralNCSenateDemocrat34.3%Lost00.1176
2016GeneralNCSenateRepublican65.7%Won10.1176
2016GeneralNDPresidentClinton3.5%Lost00.0012
2016GeneralNDPresidentTrump96.5%Won10.0012
2016GeneralNEPresidentClinton2.5%Lost00.0006
2016GeneralNEPresidentTrump97.5%Won10.0006
2016GeneralNHPresidentClinton69.7%Won10.0918
2016GeneralNHPresidentTrump30.3%Lost00.0918
2016GeneralNHSenateDemocrat51.5%Won10.2352
2016GeneralNHSenateRepublican48.0%Lost00.2304
2016GeneralNJPresidentClinton94.6%Won10.0029
2016GeneralNJPresidentTrump5.4%Lost00.0029
2016GeneralNMPresidentClinton87.7%Won10.0151
2016GeneralNMPresidentTrump12.3%Lost00.0151
2016GeneralNVPresidentClinton81.2%Won10.0353
2016GeneralNVPresidentTrump18.8%Lost00.0353
2016GeneralNVSenateDemocrat77.0%Won10.0529
2016GeneralNVSenateRepublican18.5%Lost00.0342
2016GeneralNYPresidentClinton95.5%Won10.0020
2016GeneralNYPresidentTrump4.5%Lost00.0020
2016GeneralOHPresidentClinton34.0%Lost00.1156
2016GeneralOHPresidentTrump66.0%Won10.1156
2016GeneralOHSenateDemocrat4.0%Lost00.0016
2016GeneralOHSenateRepublican96.0%Won10.0016
2016GeneralOKPresidentClinton2.5%Lost00.0006
2016GeneralOKPresidentTrump97.5%Won10.0006
2016GeneralORPresidentClinton93.5%Won10.0042
2016GeneralORPresidentTrump6.0%Lost00.0036
2016GeneralPAPresidentClinton79.4%Lost00.6304
2016GeneralPAPresidentTrump20.6%Won10.6304
2016GeneralPASenateDemocrat77.0%Lost00.5929
2016GeneralPASenateRepublican23.0%Won10.5929
2016GeneralRIPresidentClinton92.3%Won10.0059
2016GeneralRIPresidentTrump7.7%Lost00.0059

===================

圖片.png

Track Record - Election Betting Odds

By Maxim Lott

Updated Dec 11, 2022

ElectionBettingOdds.com has tracked some 807 different candidate chances across dozens of races between 2016 and December 2022.

How accurate has this site been?

When a candidate favored by bettors loses,
it's easy to fall into the trap of thinking the bettors were "wrong".
But remember that when bettors give someone, for example, a 75% chance
to win -- that also means the bettors give the person a 25% chance to lose.

The following graph shows how closely the betting tracked reality.

The blue line shows what predictions would
look like if they were perfect. The orange line shows how often bettors'
predictions within different ranges (e.g., between 60-80%) actually
came to pass. Where the orange line differs from the blue line, the
predictions were off somewhat:

We can see that, using these prediction
ranges spanning 20 percentage points, ElectionBettingOdds.com was
extremely accurate. For example, out of all candidates who were given
between a 20 and 40% chance of winning at 8am on election day, 27.6% of
them actually won.

We do also see some systematic "underdog"
bias at the edges. For example, for candidates in the 0% to 20% range,
bettors gave an average prediction of a 5.4% chance. Yet, only 1.7% of
those candidates actually ended up winning. The inverse occurs for
highly-favored candidates, who should have been given even higher odds.
This bias has been in part caused by regulatory trading limits on
bettors at PredictIt, which prevents savvy traders on that market from
making much money by correcting such odds.

The graph below holds predictions to a more precise standard -- 10% intervals, with smaller sample sizes.

We can also see that the accuracy of the
odds has been improving over time, as the number of races tracked has
risen and reduced randomness. For comparison, here was the same graph
after our 2018 update, where some 450 candidate chances had been
tracked:

How does all the above compare to other
outlets? For a detailed comparison to the predictions of the best
forecaster (Nate Silver's 538) see here.
That analysis goes all the way from 2016-2022, and does a precise
apples-to-apples comparison between the two prediction methods.
Considering "experts" and models more broadly, several studies suggest
that betting beats listening only to polls. See this one in Public Opinion Quarterly. Also, a study by the author of Superforecasting got smart people to make predictions for study of their accuracy:

I managed to recruit 284 serious
professionals, card-carrying experts whose livelihoods involved
analyzing political and economic trends and events... Almost all had
postgraduate training; half had PhDs...

In the end:

the average expert was roughly as accurate as a dart-throwing chimpanzee.

Certain groups of pundits - namely
ideological ones and those with frequent TV appearances - actually did
worse than dart-throwing chimpanzees.

Note: This post has been updated with all
elections tracked, up through December 2022. To see the old graphs with
only data going up to 2018, see here.
For an even older page, with only 2016 data, see here.

To come: an analysis looking at more
predictions made by the site over time (say, a week before an election,
or a month) -- as opposed to data used in the above graph, which just
looks at a single prediction for each candidate, taken on the morning of
the election.

As an aside, here were the biggest upsets
we've tracked (which is unchanged since the 2018 update.) The following
candidates were big underdogs in the betting. All won:

CANDIDATESTATEEBO Probability
CruzOK4.7%
CruzME6.4%
SandersMI8.4%
TrumpWI General Election12.5%
REP SenWI General Election - Senate13.5%
TrumpUSA General Election20.2%
TrumpPA General Election20.6%
SandersIN22.0%
REP SenPA General Election - Senate23.0%
TrumpMI General Election24.8%
SandersMN24.9%
LeaveBrexit24.9%

Below is ElectionBettingOdds.com's full
track record, sorted by date. Send any questions or comments to Maxim
Lott at maxim.lott@gmail.com or at @maximlott on Twitter. The graphs above are based on these data.

YearGeneral/PrimaryStateTypeCANDIDATEEBO ProbabilityWIN?1=yes, 0=noBrier score
2016BrexitIntl.UKLeave24.9%Won10.5640
2016BrexitIntl.UKStay75.1%Lost00.5640
2016GeneralAKPresidentClinton14.5%Lost00.0210
2016GeneralAKPresidentTrump85.5%Won10.0210
2016GeneralAKSenateDemocrat6.4%Lost00.0041
2016GeneralAKSenateRepublican93.6%Won10.0041
2016GeneralALPresidentClinton2.5%Lost00.0006
2016GeneralALPresidentTrump97.5%Won10.0006
2016GeneralARPresidentClinton3.5%Lost00.0012
2016GeneralARPresidentTrump96.5%Won10.0012
2016GeneralAZPresidentClinton25.0%Lost00.0625
2016GeneralAZPresidentTrump75.0%Won10.0625
2016GeneralAZSenateDemocrat5.5%Lost00.0030
2016GeneralAZSenateRepublican94.5%Won10.0030
2016GeneralCAPresidentClinton96.0%Won10.0016
2016GeneralCAPresidentTrump4.0%Lost00.0016
2016GeneralCOPresidentClinton79.0%Won10.0441
2016GeneralCOPresidentTrump21.5%Lost00.0462
2016GeneralCOSenateDemocrat92.5%Won10.0056
2016GeneralCOSenateRepublican7.5%Lost00.0056
2016GeneralCTPresidentClinton94.0%Won10.0036
2016GeneralCTPresidentTrump6.0%Lost00.0036
2016GeneralDEPresidentClinton95.5%Won10.0020
2016GeneralDEPresidentTrump4.5%Lost00.0020
2016GeneralFLPresidentClinton66.8%Lost00.4462
2016GeneralFLPresidentTrump33.2%Won10.4462
2016GeneralFLSenateDemocrat14.1%Lost00.0199
2016GeneralFLSenateRepublican85.9%Won10.0199
2016GeneralGAPresidentClinton13.9%Lost00.0193
2016GeneralGAPresidentTrump86.1%Won10.0193
2016GeneralHIPresidentClinton96.0%Won10.0016
2016GeneralHIPresidentTrump4.0%Lost00.0016
2016GeneralIAPresidentClinton25.0%Lost00.0625
2016GeneralIAPresidentTrump75.0%Won10.0625
2016GeneralIASenateDemocrat2.5%Lost00.0006
2016GeneralIASenateRepublican97.5%Won10.0006
2016GeneralIDPresidentClinton3.5%Lost00.0012
2016GeneralIDPresidentTrump96.5%Won10.0012
2016GeneralILPresidentClinton95.5%Won10.0020
2016GeneralILPresidentTrump4.5%Lost00.0020
2016GeneralILSenateDemocrat95.1%Won10.0024
2016GeneralILSenateRepublican4.9%Lost00.0024
2016GeneralINPresidentClinton4.5%Lost00.0020
2016GeneralINPresidentTrump95.5%Won10.0020
2016GeneralINSenateDemocrat33.5%Lost00.1122
2016GeneralINSenateRepublican66.0%Won10.1156
2016GeneralKSPresidentClinton4.0%Lost00.0016
2016GeneralKSPresidentTrump96.0%Won10.0016
2016GeneralKYPresidentClinton3.5%Lost00.0012
2016GeneralKYPresidentTrump96.5%Won10.0012
2016GeneralLAPresidentClinton2.5%Lost00.0006
2016GeneralLAPresidentTrump97.5%Won10.0006
2016GeneralLASenateDemocrat14.8%Lost00.0219
2016GeneralLASenateRepublican85.2%Won10.0219
2016GeneralMAPresidentClinton96.5%Won10.0012
2016GeneralMAPresidentTrump3.5%Lost00.0012
2016GeneralMDPresidentClinton97.5%Won10.0006
2016GeneralMDPresidentTrump2.5%Lost00.0006
2016GeneralMDSenateDemocrat97.0%Won10.0009
2016GeneralMDSenateRepublican2.5%Lost00.0006
2016GeneralMEPresidentClinton83.9%Won10.0259
2016GeneralMEPresidentTrump16.1%Lost00.0259
2016GeneralMIPresidentClinton75.2%Lost00.5655
2016GeneralMIPresidentTrump24.8%Won10.5655
2016GeneralMNPresidentClinton89.0%Won10.0121
2016GeneralMNPresidentTrump11.0%Lost00.0121
2016GeneralMOPresidentClinton5.4%Lost00.0029
2016GeneralMOPresidentTrump94.6%Won10.0029
2016GeneralMOSenateDemocrat41.0%Lost00.1681
2016GeneralMOSenateRepublican59.0%Won10.1681
2016GeneralMSPresidentClinton2.5%Lost00.0006
2016GeneralMSPresidentTrump97.0%Won10.0009
2016GeneralMTPresidentClinton6.0%Lost00.0036
2016GeneralMTPresidentTrump94.0%Won10.0036
2016GeneralNationalPresidentClinton79.5%Lost00.6320
2016GeneralNationalPresidentJohnson0.1%Lost00.0000
2016GeneralNationalPresidentMcMullin0.1%Lost00.0000
2016GeneralNationalPresidentStein0.1%Lost00.0000
2016GeneralNationalPresidentTrump20.2%Won10.6368
2016GeneralNCPresidentClinton54.4%Lost00.2959
2016GeneralNCPresidentTrump45.6%Won10.2959
2016GeneralNCSenateDemocrat34.3%Lost00.1176
2016GeneralNCSenateRepublican65.7%Won10.1176
2016GeneralNDPresidentClinton3.5%Lost00.0012
2016GeneralNDPresidentTrump96.5%Won10.0012
2016GeneralNEPresidentClinton2.5%Lost00.0006
2016GeneralNEPresidentTrump97.5%Won10.0006
2016GeneralNHPresidentClinton69.7%Won10.0918
2016GeneralNHPresidentTrump30.3%Lost00.0918
2016GeneralNHSenateDemocrat51.5%Won10.2352
2016GeneralNHSenateRepublican48.0%Lost00.2304
2016GeneralNJPresidentClinton94.6%Won10.0029
2016GeneralNJPresidentTrump5.4%Lost00.0029
2016GeneralNMPresidentClinton87.7%Won10.0151
2016GeneralNMPresidentTrump12.3%Lost00.0151
2016GeneralNVPresidentClinton81.2%Won10.0353
2016GeneralNVPresidentTrump18.8%Lost00.0353
2016GeneralNVSenateDemocrat77.0%Won10.0529
2016GeneralNVSenateRepublican18.5%Lost00.0342
2016GeneralNYPresidentClinton95.5%Won10.0020
2016GeneralNYPresidentTrump4.5%Lost00.0020
2016GeneralOHPresidentClinton34.0%Lost00.1156
2016GeneralOHPresidentTrump66.0%Won10.1156
2016GeneralOHSenateDemocrat4.0%Lost00.0016
2016GeneralOHSenateRepublican96.0%Won10.0016
2016GeneralOKPresidentClinton2.5%Lost00.0006
2016GeneralOKPresidentTrump97.5%Won10.0006
2016GeneralORPresidentClinton93.5%Won10.0042
2016GeneralORPresidentTrump6.0%Lost00.0036
2016GeneralPAPresidentClinton79.4%Lost00.6304
2016GeneralPAPresidentTrump20.6%Won10.6304
2016GeneralPASenateDemocrat77.0%Lost00.5929
2016GeneralPASenateRepublican23.0%Won10.5929
2016GeneralRIPresidentClinton92.3%Won10.0059
2016GeneralRIPresidentTrump7.7%Lost00.0059

===================




















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