On Specificity and Sensitivity

Before the pandemic came along, it was relatively more difficult to get students to be truly interested in the topic of specificity and sensitivity. And in a sense, understandably so. By that I do not mean the topic is not important – it absolutely is – but rather that I can understand why eyes may glaze over just a little bit:

Sensitivity and specificity mathematically describe the accuracy of a test which reports the presence or absence of a condition. If individuals who have the condition are considered “positive” and those who don’t are considered “negative”, then sensitivity is a measure of how well a test can identify true positives and specificity is a measure of how well a test can identify true negatives

https://en.wikipedia.org/wiki/Sensitivity_and_specificity

But when we’ve all got skin in the game, it’s a whole other story.

“We’re going to learn all about specificity and sensitivity today” is one way to begin a class on the topic.

“Let’s say you self-administered a Rapid Antigen Test in 2020, and the test came back positive. Do you have Covid or not?” is another.

Incentives matter!


I’ve linked to this thread before, but it is worth sharing once again, for it remains the best way to quickly grok both what specificity and sensitivity are, but also to get a sense of how to untangle the two in your own head:


Why do I bring this up today? Because now that we’re past the pandemic, how do we now motivate students to learn about specificity and sensitivity?

By asking, as it turns out, if we’d prefer detection systems to pick up on more objects in the sky (sensitivity), or get better at picking up only the relevant objects in the sky (specificity)!

After the transit of the spy balloon this month, the North American Aerospace Defense Command, or NORAD, adjusted its radar system to make it more sensitive. As a result, the number of objects it detected increased sharply. In other words, NORAD is picking up more incursions because it is looking for them, spurred on by the heightened awareness caused by the furor over the spy balloon, which floated over the continental United States for a week before an F-22 shot it down on Feb. 4.

https://nyti.ms/3HUWnGD

To a statistician, it doesn’t matter if it’s objects in the sky or objects in your body. The principle remains the same, and it is the principle that you should internalize as a student. But also, it is equally important that you ask yourself a very important, and a very underrated question once you’ve learned the principle in question:

Where else is this applicable?

I cannot begin to tell you how much more interesting things become when you ask and answer this question. UFO’s and viruses in your body – what a class in statistics this would be!

No?

Lessons from the eradication of smallpox

Vox has a nice and short read out on the battle against smallpox, and lessons we might learn today from how and where the battle was waged, at what costs, and with what effects.

But for all that the world has lost in the last few years, the history of infectious disease has a grim message: It could have been even worse. That appalling death toll resulted even though the coronavirus kills only about 0.7 percent of the people it infects. Imagine instead that it killed 30 percent — and that it would take centuries, instead of months, to develop a vaccine against it. And imagine that instead of being deadliest in the elderly, it was deadliest for young children.
That’s smallpox.

https://www.vox.com/future-perfect/21493812/smallpox-eradication-vaccines-infectious-disease-covid-19

My notes after having read the article:

  1. Smallpox is estimated to have killed between 300 million to 500 million people in the 20th century alone
  2. We still do not have an effective treatment against smallpox
  3. There are two different viruses that cause smallpox: variola major and variola minor
  4. We no longer need to explain R0 to anybody, thanks to covid, but this point is staggering: it had an infectiousness of between 5 to 7, and a mortality rate of 30%.
  5. “In China, as early as the 15th century, healthy people deliberately breathed smallpox scabs through their noses and contracted a milder version of the disease. Between 0.5 percent and 2 percent died from such self-inoculation, but this represented a significant improvement on the 30 percent mortality rate of the disease itself.”
    What a horrible lottery to play. Would you play this lottery? This, by the way, is one of the many reasons why learning statistics and probability is worth your time.
  6. Learn more about Edward Jenner.
  7. We have better ways of shipping vaccines across the world these days, but what a story this is!
    “Spain especially struggled to reach its colonies in Central and South America, so in 1803, health officials in the country devised a radical new method for distributing the vaccine abroad: orphan boys.
    The plan involved putting two dozen Spanish orphans on a ship. Right before they left for the colonies, a doctor would give two of them cowpox. After nine or 10 days at sea, the sores on their arms would be nice and ripe. A team of doctors onboard would lance the sores, and scratch the fluid into the arms of two more boys. Nine or 10 days later, once those boys developed sores, a third pair would receive fluid, and so on. (The boys were infected in pairs as backup, just in case one’s sore broke too soon.) Overall, with good management and a bit of luck, the ship would arrive in the Americas when the last pair of orphans still had sores to lance. The doctors could then hop off the ship and start vaccinating people.”
  8. Institutions matter:
    “It was not until the 1950s that a truly global eradication effort began to appear within reach, thanks to new postwar international institutions. The World Health Organization (WHO), founded in 1948, led the charge and provided a framework for countries that were not always on friendly terms to collaborate on global health efforts.”
  9. Culture matters:
    “Efforts by the British Empire to conduct a smallpox vaccination program in India made less progress, due in large part to mistrust by the locals of the colonial government.”
  10. Science matters:
    ” “There was no shortage of people telling [the people involved in the eradication effort] that their effort was futile and they were hurting their career chances,” former CDC director William Foege wrote in his 2011 book House on Fire about the smallpox eradication effort.
    But other advances had brought it within reach. Needle technology had improved, with new bifurcated needles making it possible to use less vaccine. Overseas travel improved, which made it easier to ship vaccines and get public health workers where they were most needed, and provided impetus for worldwide eradication as it made it more likely that a smallpox outbreak anywhere in the world could spread.”

As always, read the whole article. I’ll quote here the concluding paragraph from the piece, and I’d urge you to reflect on it:

The devastation of Covid-19 has hopefully made us aware of the work public health experts and epidemiologists do, the crucial role of worldwide coordination and disease surveillance programs (which are still underfunded), and the horrors that diseases can wreak when we can’t control them.
We have to do better. The history of the fight against smallpox proves that we’re capable of it.

https://www.vox.com/future-perfect/21493812/smallpox-eradication-vaccines-infectious-disease-covid-19

About This Measurement Business

(C) GDP figures are “man-made” and therefore unreliable, Li said. When evaluating Liaoning’s economy, he focuses on three figures: 1) electricity consumption, which was up 10 percent in Liaoning last year; 2) volume of rail cargo, which is fairly accurate because fees are charged for each unit of weight; and 3) amount of loans disbursed, which also tends to be accurate given the interest fees charged. By looking at
these three figures, Li said he can measure with relative accuracy the speed of economic growth. All other figures, especially GDP statistics, are “for reference only,” he said smiling.

https://wikileaks.org/plusd/cables/07BEIJING1760_a.html

This is an excerpt from the Wikileaks archive, and people familiar with modern economic history will know it all too well. This is, of course, the famous Li Keqiang index. If you prefer, you can read the original Economist article about it, although for once, the trademark Economist pun in the headline falls short of their typically high quality.

GDP measurements have always been tricky, and reading about GDP – it’s evolution, the data collection, the computation and the hajjar problems that arise from there – should be mandatory for any student aspiring to learn economics. Here’s a post from six years ago about some sources, if you’re interested.


But back to that excerpt above. What Li Keqiang was saying was that GDP statistics in China would often give a misleading picture, and he preferred to reach his own conclusions on the basis of other economic data. His preferred metrics were the ones mentioned in the abstract above: electricity consumption, volume of rail cargo and loans disbursed. Think of it this way: he’s really asking three questions. Is stuff being produced? Is stuff being moved around? Is stuff being purchased?

But what about covid times? Do these measures stand up, or do we need new proxies for GDP?

The variant’s speed also means that China’s economic prospects are unusually hard to track. A lot can happen in the time between a data point’s release and its reference period. The most recent hard numbers on China’s economy refer to the two months of January and February. Those (surprisingly good) figures already look dated, even quaint. For much of that period, there was no war in Europe. And new covid-19 cases in mainland China averaged fewer than 200 per day, compared with the 13,267 infections reported on April 4th. Relying on these official economic figures is like using a rear-view mirror to steer through a chicane.
For a more timely take on China’s fast-deteriorating economy, some analysts are turning to less conventional indicators. For example, Baidu, a popular search engine and mapping tool, provides a daily mobility index, based on tracking the movement of smartphones. Over the seven days to April 3rd, this index was more than 48% below its level a year ago.

https://www.economist.com/finance-and-economics/omicron-is-dealing-a-big-blow-to-chinas-economy/21808576

But as the article goes on to say, this metric will tell you about movement across cities. But metro traffic gives you an idea of intra-city mobility, as do courier company express deliveries (and we did some very similar exercises in India during the lockdowns, of course. Here’s one example for Pune district.)


But the point isn’t just to come up with what else might be useful as GDP proxies. A follow-up question becomes equally important: do the GDP statistics make sense? As the Economist articles says, good numbers for metrics such as investment in fixed assets are hard to square with declines in steel output. The article contains many other such examples, and what you should take away as a student is your ability to develop a “smell” test for a given economy. Don’t take the reported numbers at face value, but “see” if they seem to be in line with other statistics about that economy.

I really like this article as an introduction to this topic because it also hints at how statisticians need to be especially careful about comparing data over time. Weekly declines might happen because of festivals, bad weather or a thousand other things, which may of course be going on along with pandemic induced lockdowns. Teasing out the effects of just one aspect isn’t an easy thing to do.

And finally, think about how you can apply this lesson in other domains! Should an interviewer look only at marks, or try and figure out other correlates. Or, as Mr. Keqiang puts it, are marks “for reference only”? What about quarterly earnings reports? Press releases? Smell tests matter, and the earlier you start developing them, the better you get at detecting, and calling bullshit.


And finally, the concluding paragraph from the article we’ve discussed today:


To help avoid some of the traps lurking in these unconventional indicators, Mr Lu and his team watch “a bunch of numbers, instead of just one”. In a recent report he highlighted 20 indicators, ranging from asphalt production to movie-ticket sales. “If seven or eight out of ten indicators are worsening, then we can be confident that GDP growth is getting worse,” he says. Right now, he thinks, the direction is clear. “Something must be going very wrong.”

https://www.economist.com/finance-and-economics/omicron-is-dealing-a-big-blow-to-chinas-economy/21808576

Indeed.

Are offline exams better? No.

This is a continuation of a series. The first post, this Monday, asked how we might transition from online to offline education when (if?) the pandemic ends. The second post was about me trying to figure out in which ways offline classes are better. This post is about me trying to figure out ways in which offline examinations are better.

Offline examinations, in the context of this post, are defined as examinations in which students sit in a classroom for three hours, and write detailed answers using pen and paper, without having access to their textbooks or to internet enabled devices.

They aren’t better.

That’s it.


I cannot tell you how strongly I feel about this. Note that this post is about higher education, not about school level exams. But that being said, the idea that an offline examination replicates real life conditions is patently ridiculous.

When was the last time, in the course of your normal workday, that you sat in a room in which you couldn’t access the help of your colleagues or the internet, with only pen and paper, and did work? And even if you were to say to me that such a thing has happened, did that work involve regurgitating what you already know? Or was that work about generating new ideas without being distracted by the internet?

Offline examinations are not about generating new ideas. They aren’t about testing how well you would do in a realistic work setting. I honestly do not know what they are about, and I cannot for the life of me understand why they existed up until covid-19 came knocking.

Offline examinations need to go, and I would love to learn why I am wrong about this. Please help me understand.

The Economist on Year Three of the Pandemic

(Note: this was written and scheduled for posting before the world found out about Omicron. I have not changed a single word, except for the two sentences in these brackets)

‘Tis that time of the year, and we will soon be inundated with reflections on the year gone by, and the year to come. The Economist has come up with its list, and today, we will be focusing on one from among this series: What To Expect in Year Three of the Pandemic.


  1. The key takeaway is that the world as a whole will be better off because of the vaccines that become widely available in 2021, but…
  2. Vaccine inequity, already unfortunately visible, will become starker still. And this will have obvious ramifications on health (that much is obvious), but also on economic outcomes.
    “A disparity of outcomes between rich and poor countries will emerge. The Gates Foundation, one of the world’s largest charities, predicts that average incomes will return to their pre-pandemic levels in 90% of advanced economies, compared with only a third of low- and middle-income economies.”
  3. Distribution difficulties and vaccine hesitancy will also play (unfortunate) roles in the continuing saga, and a glut (imagine!) is not impossible to imagine in late 2022
  4. This is a chart well worth staring at. I encourage you to stare at it:

5. Vaccines will become better, more broad based, and supply chains will ease out in part because of technological advancements, such as freeze-dried mRNA vaccines.

6. But the larger point that I personally take away from the article is this: it’s going to be better, the article says than both 2020 and 2021, but it won’t be over in 2022. Variants will emerge, hesitancy will remain, and inequity will persist.
There will be, in other words, progress, but not as much as one would have liked, not as fast as one would have liked, and with complications that are bound to emerge, but impossible to currently specify.
Better, in short, but not by much, and with real risks to boost.

7. But all that being said, given the year that went by, I suppose we should take what we get.

India’s Demographics in One Tweet

Well, ok, not India’s demographics in one tweet, maybe. But it is such telling and thought-provoking trivia, this.

If you’re looking for a frame of reference, Belgium’s total population is 12 million. We will add 12 million 18 year olds alone.

By the way, please don’t misconstrue my stance on the issue: I’m very much on Team Simon.

Noah Smith Interviews Marc Andreessen, Part II

We pick up from where we left off yesterday:


My partner Alex Rampell says that competition between an incumbent and a software-driven startup is “a race, where the startup is trying to get distribution before the incumbent gets innovation”.

https://noahpinion.substack.com/p/interview-marc-andreessen-vc-and

Please listen to that podcast episode about Dominos thinking of itself as a tech company that happens to deliver pizzas. From another episode from that same podcast, this gem of an appropriate example:

In February 2013, Ted Sarandos, Netflix’s chief content officer, told “GQ,” “the goal is to become HBO faster than HBO can become us.”

https://www.delltechnologies.com/en-us/perspectives/podcasts-trailblazers-s01-e01-disruption-entertainment-industry/

As time passes, I am increasingly skeptical that most incumbents can adapt. The culture shift is just too hard. Great software people tend to not want to work at an incumbent where the culture is not optimized to them, where they are not in charge. It is proving easier in many cases to just start a new company than try to retrofit an incumbent. I used to think time would ameliorate this, as the world adapts to software, but the pattern seems to be intensifying.

https://noahpinion.substack.com/p/interview-marc-andreessen-vc-and

I hope he is wrong, for my sake, and for the sake of my alma mater, which is where I have chosen to work. But, um, I increasingly fear that he’s (surprise, surprise) right. Introducing technology has been hard in my workplace, but the fault lies with the culture of the workplace, not with the technology.

But as I pointed out in yesterday’s post, the regulatory capture and the cultural conformity of the higher education space in India means that most students (and their parents, or should it be the other way around) still prefer a “top” college.


A good test for how seriously an incumbent is taking software is the percent of the top 100 executives and managers with computer science degrees. For a typical tech startup, the answer might be 50-70%. For a typical incumbent, the answer may be more like 5-7%. This is a huge gap in software knowledge and skill, and you see it play out every day across many industries.

https://noahpinion.substack.com/p/interview-marc-andreessen-vc-and

Incumbents in higher education in India – the percentage of folks with computer science degrees? Let’s move on.


First, COVID is the ultimate cover for restructuring — what my friend and former CFO Peter Currie used to call “shake and bake”. It’s an opportunity for every CEO to do all the things he/she may have wanted to do in the past to increase efficiency and effectiveness — from fundamental headcount resizing and reorganization, to changing geographic footprint, to exiting stale lines of business — but couldn’t because they would cause too much disruption. The disruption is happening anyway, so you might as well do everything you’ve always wanted to do now

https://noahpinion.substack.com/p/interview-marc-andreessen-vc-and

75% minimum attendance, or else we reserve the right to say that you haven’t learnt enough to write the semester end examination. All classes in offline mode, only. Rote memorization tests in examination halls, with no textbooks/supplementary materials allowed. Laptops/tables/smartphones may not be used in class.

Here’s my question to those of us who work in higher education in India. Do we expect all these things to come back once the pandemic is behind us, or are we having thoughtful discussions about how the post-covid higher education field will look in India?

Today, because of the pandemic, we are at an extreme end of the spectrum which describes how learning is delivered. Everybody sits at home, and listens to a lecture being delivered (at least in Indian universities, mostly synchronously).
When the pandemic ends, whenever that may be, do we swing back to the other end of the spectrum? Does everybody sit in a classroom once again, and listens to a lecture being delivered in person (and therefore synchronously)?
Or does society begin to ask if we could retain some parts of virtual classrooms? Should the semester than be, say, 60% asynchronous, with the remainder being doubt solving sessions in classroom? Or some other ratio that may work itself out over time? Should the basic organizational unit of the educational institute still be a classroom? Does an educational institute still require the same number of in person professors, still delivering the same number of lectures?
In other words, in the post-pandemic world…
How long before online learning starts to show up in the learning statistics?

https://atomic-temporary-112243906.wpcomstaging.com/2021/01/28/the-long-slow-but-inevitable-death-of-the-classroom/

And finally, Marc Andreessen’s response to Noah’s question about what advice he (Marc) would have for a young 23 year old American:

Don’t follow your passion. Seriously. Don’t follow your passion. Your passion is likely more dumb and useless than anything else. Your passion should be your hobby, not your work. Do it in your spare time.
Instead, at work, seek to contribute. Find the hottest, most vibrant part of the economy you can and figure out how you can contribute best and most. Make yourself of value to the people around you, to your customers and coworkers, and try to increase that value every day.

https://noahpinion.substack.com/p/interview-marc-andreessen-vc-and

The last sentence in that excerpt is another way of saying that the world is a non-zero sum game.

And I couldn’t agree more!


On The History of Public Health in India

The responses will keep you busy for days, if not weeks. This tweet, and the responses to it, are an excellent argument for why Twitter is such a valuable resource for all of us.

Asking And Answering Important Questions

Shruti Rajagopalan asked a very important question on Twitter earlier this week:

I’m writing this post on Sunday evening, which is when Shruti asked this question (and you, of course, are reading it today) but so far, there haven’t been any encouraging responses to her query, save for this one:
That would be this report, and I don’t think it was recommending large purchase orders or calling out Prime Minister Modi’s incoherent vaccine policy. This is the entire paragraph on vaccination:

Vaccines: The Committee recommended that a vaccine should pass all phases of clinical trials before it is made public. Further, it recommended that the whole population should be vaccinated. In this regard, the Committee suggested that: (i) the cost of the vaccine should be subsidised for weaker sections of society, (ii) the cold-storage system across the country should be upgraded, and (iii) vaccines should be administered as per the World Health Organization’s strategic allocation approach or a multi-tiered risk-based approach.

https://www.prsindia.org/sites/default/files/parliament_or_policy_pdfs/Report%20summary%20COVID.pdf

Long story short, the answer to Shruti’s question is: nobody. None of us were prescient enough in 2020, and that is a failure on our part.


What Shruti is really asking for is this: who is India’s Alex Tabbarok?

Why do I say this? Because Professor Tabarrok was recommending/demanding large purchase orders…

We don’t want to find ourselves with a working vaccine but too little manufacturing capacity. From an economic point of view, it would make sense to install enough capacity so that everyone in the U.S. who wanted could be vaccinated within a month. Normally, new vaccines cannot be produced so quickly and in sufficient supply. Each step of the manufacturing process must be verified and tested, and inputs to the process may face their own supply chain bottlenecks. Just as shortages of swabs and reagents delayed the rollout of testing, shortages of glass vials, bioreactors or adjuvants (a substance that increases immune stimulation) may delay vaccines. For want of a vial, the vaccine could be lost. To stand a reasonable chance of having a substantial supply of vaccines in 2021, we need to plan for capacity and reinforce supply chains now.

https://www.nytimes.com/2020/05/04/opinion/coronavirus-vaccine.html

…on the 4th of May. That is the 4th of May 2020.

He had a post praising the idea of advance market commitments (AMC’s) out in February. Again, 2020.


And while the first excerpt up above was a plan for the USA alone, he and his collaborators expanded upon this plan, outlining what a globally coordinated plan may have looked like:

I’ve been working with Michael Kremer, Susan Athey, Chris Snyder and others to design incentives to speed vaccines and other health technologies. AcceleratingHT is our website and now features a detailed set of slides which explain the calculations behind our global plan. The global plan is similar in style to the US plan although on a larger scale. The key idea is that the global economy is losing $350 billion a month so speed pays. One way to speed a vaccine is to invest in capacity for 15-20 vaccine candidates before any candidates are approved, so that the moment a candidate is approved we can begin production (one can store doses in advance of approval). Most of the capacity will be wasted but that is a price worth paying. As Larry Summer says if you will die of starvation if you don’t get a pizza in two hours, order 5 pizzas. Human challenge trials are another way to speed the process.
A global plan is ideal since there are significant benefits to coordination. If each country invests in vaccines independently they will each choose the vaccine candidates most likely to succeed but that means all our eggs are a few baskets. There are over 100 vaccine candidates and they have different scientific and production risks so you want to choose the 15-20 which maximize the probability of success for the portfolio as a whole. To do that efficiently you need countries to agree that ‘I will invest in lots of capacity (more than I need) in candidate X if you invest in lots of capacity (more than you need) for candidate Y’, even knowing that the probability that X succeeds may be less than that of Y.

https://marginalrevolution.com/marginalrevolution/2020/05/acceleratinght.html

The website AcceleratingHT provides many more instances that reinforce my point, and as a student, reading the material there is genuinely useful.


A while ago, I wrote a post for students who want to work in the field of public policy. Alex Tabbarok’s work this past year is a great example of what that advice might look like in practice.

I do not know who India’s Alex Tabbarok is in 2021 – there may not even be one. But as a student, the correct question to ask is this:

What do I need to do to acquire the ability to be ahead of the curve when the next crisis comes around?

Here is my list in response to that question:

  1. Read, and write. Everyday, read and write. If you are a student of the humanities (and if you think about it, who isn’t?), you should be reading and writing everyday. It compounds, trust me.Don’t be afraid
  2. Learn the art of working backwards from the solution you want to get to. In this specific case, if you want the world to be vaccinated by the end of 2021 (let’s say), then begin by asking yourself what needs to be done to get there, but in reverse.
    7 billion vaccines will be needed – which are the manufacturers that are most likely to supply them – what do they need to get the job done – how can we get them what we need – what are the regulatory, financial, supply-chain-related hurdles they will face – how can these be removed – and so on…
    My point here is not the specifics of the exercise, whether in the case of vaccines today or something else tomorrow. My point is to learn and apply the art of working backwards from where you want to eventually be. I don’t know what you’re supposed to call this in consultant/management speak, but for starters, read about the game 21 flags in The Art of Strategy.
  3. Learn the art of being unafraid to ask big picture questions. Whenever you get that feeling of “Surely somebody somewhere must have thought to ask this question already?” – especially if you have been serious about pt. 1 above – ask the question. Repeatedly, furiously and publicly.
  4. Consume as much content as you can about crisis management from the past. (I’m working on this for my own self, and recommendations are welcome)
  5. Do not be afraid of putting out your potential solution out there. Your worst case scenario is that it is a wrong solution. As a society, we’re still better off rejecting wrong solutions than waiting for the perfect one. For rejecting a solution as being the wrong one forces us to learn more about the problem at hand.
  6. Most difficult of all: once you have offered a solution, remember that your job is to solve the original problem. Your job is to not defend your solution at all costs. This is hard.

Correlation, Causation and Thinking Things Through

Us teaching type folks love to say that correlation isn’t causation. As with most things in life, the trouble starts when you try to decipher what this means, exactly. Wikipedia has an entire article devoted to the phrase, and it has occupied space in some of the most brilliant minds that have ever been around.

Simply put, here’s a way to think about it: not everything that is correlated is necessarily going to imply causation.

For example, this one chart from this magnificent website (and please, do take a look at all the charts):

https://www.tylervigen.com/spurious-correlations

But if there is causation involved, there will definitely be correlation. In academic speak, if x and y are correlated, we cannot necessarily say that x causes y. But if x does indeed cause y, x and y will definitely be correlated.

OK, you might be saying right now. So what?

Well, how about using this to figure out what ingredients were being used to make nuclear bombs? Say the government would like to keep the recipe (and the ingredients) for the nuclear bomb a secret. But what if you decide to take a look at the stock market data? What if you try to see if there is an increase in the stock price of firms that make the ingredients likely to be used in a nuclear bomb?

If the stuff that your firm produces (call this x) is in high demand, your firm’s stock price will go up (call this y). If y has gone up, it (almost certainly) will be because of x going up. So if I can check if y has gone up, I can assume that x will be up, and hey, I can figure out the ingredients for a nuclear bomb.

Sounds outlandish? Try this on for size:

Realizing that positive developments in the testing and mass production of the two-stage thermonuclear (hydrogen) bomb would boost future cash flows and thus market capitalizations of the relevant companies, Alchian used stock prices of publicly traded industrial corporations to infer the secret fuel component in the device in a paper titled “The Stock Market Speaks.” Alchian (2000) relates the story in an interview:
We knew they were developing this H-bomb, but we wanted to know, what’s in it? What’s the fissile material? Well there’s thorium, thallium, beryllium, and something else, and we asked Herman Kahn and he said, ‘Can’t tell you’… I said, ‘I’ll find out’, so I went down to the RAND library and had them get for me the US Government’s Dept. of Commerce Yearbook which has items on every industry by product, so I went through and looked up thorium, who makes it, looked up beryllium, who makes it, looked them all up, took me about 10 minutes to do it, and got them. There were about five companies, five of these things, and then I called Dean Witter… they had the names of the companies also making these things, ‘Look up for me the price of these companies…’ and here were these four or five stocks going like this, and then about, I think it was September, this was now around October, one of them started to go like that, from $2 to around $10, the rest were going like this, so I thought ‘Well, that’s interesting’… I wrote it up and distributed it around the social science group the next day. I got a phone call from the head of RAND calling me in, nice guy, knew him well, he said ‘Armen, we’ve got to suppress this’… I said ‘Yes, sir’, and I took it and put it away, and that was the first event study. Anyway, it made my reputation among a lot of the engineers at RAND.

https://www.sciencedirect.com/science/article/abs/pii/S0929119914000546

I learnt about this while reading Navin Kabra’s Twitter round-up from yesterday. Navin also mentions the discovery of Neptune using the same underlying principle, and then asks this question:

Do you know other, more recent examples of people deducing important information by guessing from correlated data?

https://futureiq.substack.com/p/best-of-twitter-antifragility-via

… and I was reminded of this tweet:


Whether it is Neptune, the nuclear bomb or the under-reporting of Covid deaths, the lesson for you as a student of economics is this: when you marry the ability to connect the dots with the ability to understand and apply statistics, truly remarkable things can happen.

Of course, the reverse is equally true, and perhaps even more important. When you marry the ability to connect the dots with a misplaced ability to understand and apply statistics, truly horrific things can happen.

Tread carefully when it comes to statistics!