Archives (246)

December 10, 2021

Briefly

  • From Ars Technica, Report reveals which sealed NES games are the rarest of the rare. This is relevant because most of the story is about selection bias “Wata’s sealed-NES report, for instance, only shows one graded, sealed copy of Jeopardy!, a game that most collector’s regard as pretty common.
    This disparity could be because sealed copies of Jeopardy! happen to be much rarer than open boxes or loose carts. Or it could simply be that almost no one has bothered going through the time, expense, and hassle of going to Wata for a professional grade on a relatively ignorable game like Jeopardy!.
  • Phillip Bump, of the Washington Post, is starting a newsletterHow to read this chart
  • NZ police release an independent report on facial recognition technology
  • The police, and various other agencies, have asked the Ministry of Health for data from Covid contact tracing. They were (correctly) turned down.
  • According to UK supermarket chain Tesco, via Wales Online,  33% of people in London and 39% of 18-24 year olds in the UK celebrate Thanksgiving. I’m reasonably sure this isn’t true, but it doesn’t seem possible to find out any more about where they got the numbers.
  • NZ Herald, Nov 22 “Auckland CBD sinking into anarchy and resembling 1980s New York, city leaders told. Newsroom, Dec 6, “yeah nah”

Making it up in volume

This isn’t precisely statistics in the media, but it’s research about the sort of stories we discuss a lot.  A new research paper in Nature looks at three estimates over time of the proportion of people vaccinated in the US. Two of these were based on large self-selected sets of respondents, the third was much smaller but had an attempt at random sampling.

What’s interesting about this is that we know the truth, pretty well.  US States kept track of vaccinations and the CDC collated the data.  There aren’t many examples where we have that sort of ground truth — the closest we come is elections, and even then we only get the truth for one point in time.

Here’s a graph from the research paper:

The two ‘big data’ estimates were much more precise than the smaller survey, but also much more biased: they were confidently wrong, where the small survey was pretty much right.  For some reason (and it’s not hard to think of possibilities) people who were vaccinated were more likely to respond in the big unselected data sets.

This is a general ‘big data’ phenomenon: when you get more data it tends to be of lower quality.  It’s very hard to overcome the data quality problem, so you will often get worse answers, but your estimation procedure will tell you they are much better. The ‘margin of error’ on the 75,000-person Census Household Pulse is much smaller than on the Axios-Ipsos survey, but the actual error is much larger. If you’ve seen lots of 1000-person surveys reported in the media and wondered why they aren’t bigger, this is the reason.  It’s not that you can’t do a 10,000-person survey; it’s that it needs to have much higher data quality than a 1000-person survey to be worth doing.

Now, ‘big data’ isn’t useless. It can be possible, with detailed enough data on a large number of people, to get around the data quality problems.  The polling company YouGov has had some success with large unselected samples and reweighting them to match the population. But that’s only possible where you have good data for the sample and the  population — the Nature paper hypothesises that collecting political affiliation and rurality might have helped, but the ‘big data’ surveys didn’t.

I didn’t have anything to do with this research, but one of my research areas is combining big databases and small samples in medical research: in the small sample you can afford to get accurate data and then you can use the big database to get extra precision.

December 8, 2021

Viagra and Alzheimers

Q: Did you see that Viagra prevents Alzheimer’s?

A: That’s not quite what it says

Q: “Viagra could be used to treat Alzheimer’s disease, study finds”

A: It’s possible that it could be, if it turns out to work

Q: That’s a bit misleading

A: Well, it’s a headline, what do you expect?

Q: Do you want to say that the Guardian covered this better than NewstalkZB?

A: No. Well, whether or not I want to, it’s not true.  The Guardian had the misleading headline and NewstalkZB has an expert saying “As exciting as it may be, it does sound a bit too good to be true though.”

Q: So it’s just mice?

A: No, I don’t think anyone would have had any reason to test this in mice before

Q: Men?

A: Yes. Well, mostly men. Health insurance data on 7.2 million people and 1600 different drugs

Q: How effective is Viagra, then?

A: We don’t know

Q: You know what I mean

A: The people who were prescribed Viagra were 70% less likely to end up with Alzheimer’s

Q: That’s a huge effect!

A: A huge difference. To quote Dr Phil Wood on NewstalkZB “As exciting as it may be, it does sound a bit too good to be true though.”

Q: Whatever. Can you really get a correlation that strong when it’s not a real effect?

A: Finnish research found 2/3 lower rate of dementia in people who regularly used saunas. And in a Swedish study, married men had about half the risk of single or widowed men. And early reports looking at correlations between statin drugs and Alzheimer’s found rates lower by up to 70%. And…

Q: Ok, I get the message. But it could be real?

A: In principle. The researchers give some biological arguments for why it might.  Though given how hard Alzheimer’s is to treat, it would be really surprising if some drug accidentally did way better than anything we’ve ever developed

Q: Maybe there should be a clinical trial?

A: Perhaps. Or at least an observational study in a different population. While it probably won’t work, we wouldn’t want to miss out if it did

December 7, 2021

United Rugby Championship Predictions for Week 8

Team Ratings for Week 8

The basic method is described on my Department home page.
Here are the team ratings prior to this week’s games, along with the ratings at the start of the season.

Current Rating Rating at Season Start Difference
Leinster 15.38 14.79 0.60
Munster 10.95 10.69 0.30
Ulster 7.17 7.41 -0.20
Connacht 3.16 1.72 1.40
Edinburgh 3.04 2.90 0.10
Glasgow 2.98 3.69 -0.70
Bulls 1.98 3.65 -1.70
Sharks 0.97 -0.07 1.00
Ospreys 0.69 0.94 -0.20
Stormers 0.29 0.00 0.30
Cardiff Rugby -0.89 -0.11 -0.80
Scarlets -1.76 -0.77 -1.00
Lions -1.80 -3.91 2.10
Benetton -4.32 -4.50 0.20
Dragons -6.12 -6.92 0.80
Zebre -15.68 -13.47 -2.20

 

Performance So Far

So far there have been 48 matches played, 35 of which were correctly predicted, a success rate of 72.9%.
Here are the predictions for last week’s games.

Game Date Score Prediction Correct
1 Edinburgh vs. Benetton Dec 04 24 – 10 13.80 TRUE
2 Leinster vs. Connacht Dec 04 47 – 19 15.90 TRUE
3 Sharks vs. Bulls Dec 04 30 – 16 2.70 TRUE
4 Ospreys vs. Ulster Dec 05 19 – 13 -1.30 FALSE
5 Glasgow vs. Dragons Dec 05 33 – 14 14.90 TRUE
6 Stormers vs. Lions Dec 05 19 – 37 9.70 FALSE

 

Predictions for Week 8

Here are the predictions for Week 8. The prediction is my estimated expected points difference with a positive margin being a win to the home team, and a negative margin a win to the away team.

Game Date Winner Prediction
1 Zebre vs. Benetton Dec 25 Benetton -6.40
2 Cardiff Rugby vs. Scarlets Dec 27 Cardiff Rugby 5.90
3 Ospreys vs. Dragons Dec 27 Ospreys 11.80
4 Ulster vs. Connacht Dec 27 Ulster 9.00
5 Munster vs. Leinster Dec 27 Munster 0.60
6 Glasgow vs. Edinburgh Dec 28 Glasgow 4.90

 

Top 14 Predictions for Round 13

Team Ratings for Round 13

The basic method is described on my Department home page.
Here are the team ratings prior to this week’s games, along with the ratings at the start of the season.

Current Rating Rating at Season Start Difference
Stade Toulousain 8.35 6.83 1.50
La Rochelle 7.67 6.78 0.90
Bordeaux-Begles 7.40 5.42 2.00
Lyon Rugby 5.47 4.15 1.30
Clermont Auvergne 4.85 5.09 -0.20
Racing-Metro 92 4.01 6.13 -2.10
Montpellier 3.07 -0.01 3.10
Castres Olympique 0.82 0.94 -0.10
Stade Francais Paris 0.13 1.20 -1.10
RC Toulonnais -0.19 1.82 -2.00
Section Paloise -2.78 -2.25 -0.50
Brive -2.96 -3.19 0.20
Biarritz -4.14 -2.78 -1.40
USA Perpignan -4.35 -2.78 -1.60

 

Performance So Far

So far there have been 84 matches played, 64 of which were correctly predicted, a success rate of 76.2%.
Here are the predictions for last week’s games.

Game Date Score Prediction Correct
1 Bordeaux-Begles vs. Stade Toulousain Dec 05 17 – 7 5.10 TRUE
2 Castres Olympique vs. Racing-Metro 92 Dec 05 25 – 3 2.00 TRUE
3 Clermont Auvergne vs. Biarritz Dec 05 39 – 11 14.60 TRUE
4 Lyon Rugby vs. Brive Dec 05 41 – 0 13.20 TRUE
5 Montpellier vs. USA Perpignan Dec 05 30 – 6 13.20 TRUE
6 Section Paloise vs. RC Toulonnais Dec 05 16 – 16 4.40 FALSE
7 Stade Francais Paris vs. La Rochelle Dec 06 25 – 20 -1.70 FALSE

 

Predictions for Round 13

Here are the predictions for Round 13. The prediction is my estimated expected points difference with a positive margin being a win to the home team, and a negative margin a win to the away team.

Game Date Winner Prediction
1 Biarritz vs. Montpellier Dec 27 Montpellier -0.70
2 Brive vs. Clermont Auvergne Dec 27 Clermont Auvergne -1.30
3 La Rochelle vs. Lyon Rugby Dec 27 La Rochelle 8.70
4 Racing-Metro 92 vs. Section Paloise Dec 27 Racing-Metro 92 13.30
5 Stade Toulousain vs. Stade Francais Paris Dec 27 Stade Toulousain 14.70
6 RC Toulonnais vs. Bordeaux-Begles Dec 27 Bordeaux-Begles -1.10
7 USA Perpignan vs. Castres Olympique Dec 27 USA Perpignan 1.30

 

Rugby Premiership Predictions for Round 11

Team Ratings for Round 11

The basic method is described on my Department home page.
Here are the team ratings prior to this week’s games, along with the ratings at the start of the season.

Current Rating Rating at Season Start Difference
Exeter Chiefs 5.23 7.35 -2.10
Saracens 2.39 -5.00 7.40
Wasps 2.08 5.66 -3.60
Sale Sharks 1.98 4.96 -3.00
Harlequins 0.66 -1.08 1.70
Leicester Tigers 0.59 -6.14 6.70
Northampton Saints 0.02 -2.48 2.50
Gloucester -0.31 -1.02 0.70
Bristol -2.94 1.28 -4.20
Bath -3.94 2.14 -6.10
Newcastle Falcons -4.01 -3.52 -0.50
London Irish -4.27 -8.05 3.80
Worcester Warriors -9.09 -5.71 -3.40

 

Performance So Far

So far there have been 60 matches played, 29 of which were correctly predicted, a success rate of 48.3%.
Here are the predictions for last week’s games.

Game Date Score Prediction Correct
1 Exeter Chiefs vs. Saracens Dec 05 18 – 15 8.00 TRUE
2 Gloucester vs. Bristol Dec 05 27 – 10 5.90 TRUE
3 Leicester Tigers vs. Harlequins Dec 05 16 – 14 4.90 TRUE
4 London Irish vs. Newcastle Falcons Dec 05 43 – 21 2.20 TRUE
5 Northampton Saints vs. Bath Dec 05 40 – 19 6.90 TRUE
6 Worcester Warriors vs. Wasps Dec 05 32 – 31 -7.70 FALSE

 

Predictions for Round 11

Here are the predictions for Round 11. The prediction is my estimated expected points difference with a positive margin being a win to the home team, and a negative margin a win to the away team.

Game Date Winner Prediction
1 Bath vs. Gloucester Dec 27 Bath 0.90
2 Bristol vs. Leicester Tigers Dec 27 Bristol 1.00
3 Harlequins vs. Northampton Saints Dec 27 Harlequins 5.10
4 Newcastle Falcons vs. Sale Sharks Dec 27 Sale Sharks -1.50
5 Saracens vs. Worcester Warriors Dec 27 Saracens 16.00
6 Wasps vs. London Irish Dec 27 Wasps 10.80

 

December 2, 2021

Internet use up

The Herald has numbers from Chorus on internet data use, which is up since last October. Their data is broken down by region. I noticed that Auckland was at the top and wondered how much of this was better internet access in Auckland and how much was just larger households. Here’s a graph (click to embiggen). I had to guess that the ‘Hamilton’ region meant Waikato, and the table is missing Marlborough. Also, my data source for household  size had separate figures for Nelson and Tasman, but it should be basically right.

That’s actually more of an impact of household size than I expected. Also, I was a bit surprised that the West Coast is above the fitted line, saying that it has more internet use than you’d expect from household size, but I suppose that’s what you’d hope when people are spread out a lot.

The regression line is a bit unreliable with such a small dataset, and leaving out Auckland weakens the evidence for a relationship quite a bit (though it doesn’t actually change the fitted line very much). It’s worth thinking about alternative explanations. It’s reasonable that internet use would scale with household size (and I did think of this before looking at the data), but it could also be that Auckland has larger household size and more internet use because it’s a city

November 30, 2021

United Rugby Championship Predictions for Round 7

Team Ratings for Week 7

The basic method is described on my Department home page.
Here are the team ratings prior to this week’s games, along with the ratings at the start of the season.

Current Rating Rating at Season Start Difference
Leinster 14.72 14.79 -0.10
Munster 10.95 10.69 0.30
Ulster 7.83 7.41 0.40
Connacht 3.83 1.72 2.10
Edinburgh 3.03 2.90 0.10
Bulls 2.61 3.65 -1.00
Glasgow 2.60 3.69 -1.10
Stormers 1.57 0.00 1.60
Sharks 0.34 -0.07 0.40
Ospreys 0.03 0.94 -0.90
Cardiff Rugby -0.89 -0.11 -0.80
Scarlets -1.76 -0.77 -1.00
Lions -3.08 -3.91 0.80
Benetton -4.31 -4.50 0.20
Dragons -5.75 -6.92 1.20
Zebre -15.68 -13.47 -2.20

 

Performance So Far

So far there have been 42 matches played, 31 of which were correctly predicted, a success rate of 73.8%.
Here are the predictions for last week’s games.

Game Date Score Prediction Correct
1 Connacht vs. Ospreys Nov 27 46 – 18 8.30 TRUE
2 Benetton vs. Glasgow Nov 27 19 – 18 -0.70 FALSE
3 Dragons vs. Edinburgh Nov 28 14 – 30 -0.70 TRUE
4 Leinster vs. Ulster Nov 28 10 – 20 14.20 FALSE

 

Predictions for Week 7

Here are the predictions for Week 7. The prediction is my estimated expected points difference with a positive margin being a win to the home team, and a negative margin a win to the away team.

Game Date Winner Prediction
1 Edinburgh vs. Benetton Dec 04 Edinburgh 13.80
2 Leinster vs. Connacht Dec 04 Leinster 15.90
3 Sharks vs. Bulls Dec 04 Sharks 2.70
4 Ospreys vs. Ulster Dec 05 Ulster -1.30
5 Glasgow vs. Dragons Dec 05 Glasgow 14.90
6 Stormers vs. Lions Dec 05 Stormers 9.70

 

Top 14 Predictions for Round 12

Team Ratings for Round 12

The basic method is described on my Department home page.
Here are the team ratings prior to this week’s games, along with the ratings at the start of the season.

Current Rating Rating at Season Start Difference
Stade Toulousain 8.60 6.83 1.80
La Rochelle 8.00 6.78 1.20
Bordeaux-Begles 7.15 5.42 1.70
Racing-Metro 92 4.65 6.13 -1.50
Lyon Rugby 4.62 4.15 0.50
Clermont Auvergne 4.40 5.09 -0.70
Montpellier 2.69 -0.01 2.70
Castres Olympique 0.18 0.94 -0.80
Stade Francais Paris -0.21 1.20 -1.40
RC Toulonnais -0.41 1.82 -2.20
Brive -2.11 -3.19 1.10
Section Paloise -2.56 -2.25 -0.30
Biarritz -3.68 -2.78 -0.90
USA Perpignan -3.97 -2.78 -1.20

 

Performance So Far

So far there have been 77 matches played, 59 of which were correctly predicted, a success rate of 76.6%.
Here are the predictions for last week’s games.

Game Date Score Prediction Correct
1 Biarritz vs. Stade Francais Paris Nov 28 17 – 14 3.00 TRUE
2 La Rochelle vs. Section Paloise Nov 28 36 – 8 16.30 TRUE
3 Montpellier vs. Castres Olympique Nov 28 25 – 24 9.90 TRUE
4 Racing-Metro 92 vs. Bordeaux-Begles Nov 28 14 – 37 5.70 FALSE
5 Stade Toulousain vs. Brive Nov 28 18 – 11 18.00 TRUE
6 RC Toulonnais vs. Lyon Rugby Nov 28 19 – 13 1.00 TRUE
7 USA Perpignan vs. Clermont Auvergne Nov 28 26 – 24 -2.30 FALSE

 

Predictions for Round 12

Here are the predictions for Round 12. The prediction is my estimated expected points difference with a positive margin being a win to the home team, and a negative margin a win to the away team.

Game Date Winner Prediction
1 Bordeaux-Begles vs. Stade Toulousain Dec 05 Bordeaux-Begles 5.10
2 Castres Olympique vs. Racing-Metro 92 Dec 05 Castres Olympique 2.00
3 Clermont Auvergne vs. Biarritz Dec 05 Clermont Auvergne 14.60
4 Lyon Rugby vs. Brive Dec 05 Lyon Rugby 13.20
5 Montpellier vs. USA Perpignan Dec 05 Montpellier 13.20
6 Section Paloise vs. RC Toulonnais Dec 05 Section Paloise 4.40
7 Stade Francais Paris vs. La Rochelle Dec 06 La Rochelle -1.70

 

Rugby Premiership Predictions for Round 10

Team Ratings for Round 10

The basic method is described on my Department home page.
Here are the team ratings prior to this week’s games, along with the ratings at the start of the season.

Current Rating Rating at Season Start Difference
Exeter Chiefs 5.54 7.35 -1.80
Wasps 2.58 5.66 -3.10
Saracens 2.08 -5.00 7.10
Sale Sharks 1.98 4.96 -3.00
Leicester Tigers 0.82 -6.14 7.00
Harlequins 0.43 -1.08 1.50
Northampton Saints -0.74 -2.48 1.70
Gloucester -0.93 -1.02 0.10
Bristol -2.32 1.28 -3.60
Newcastle Falcons -3.00 -3.52 0.50
Bath -3.18 2.14 -5.30
London Irish -5.29 -8.05 2.80
Worcester Warriors -9.59 -5.71 -3.90

 

Performance So Far

So far there have been 54 matches played, 24 of which were correctly predicted, a success rate of 44.4%.
Here are the predictions for last week’s games.

Game Date Score Prediction Correct
1 Bath vs. Exeter Chiefs Nov 28 16 – 23 -3.70 TRUE
2 Bristol vs. Northampton Saints Nov 28 20 – 36 5.00 FALSE
3 Harlequins vs. London Irish Nov 28 19 – 22 11.80 FALSE
4 Newcastle Falcons vs. Worcester Warriors Nov 28 24 – 24 12.50 FALSE
5 Saracens vs. Sale Sharks Nov 28 25 – 14 3.70 TRUE
6 Wasps vs. Gloucester Nov 28 33 – 35 9.30 FALSE

 

Predictions for Round 10

Here are the predictions for Round 10. The prediction is my estimated expected points difference with a positive margin being a win to the home team, and a negative margin a win to the away team.

Game Date Winner Prediction
1 Exeter Chiefs vs. Saracens Dec 05 Exeter Chiefs 8.00
2 Gloucester vs. Bristol Dec 05 Gloucester 5.90
3 Leicester Tigers vs. Harlequins Dec 05 Leicester Tigers 4.90
4 London Irish vs. Newcastle Falcons Dec 05 London Irish 2.20
5 Northampton Saints vs. Bath Dec 05 Northampton Saints 6.90
6 Worcester Warriors vs. Wasps Dec 05 Wasps -7.70