[HN Gopher] Look at median, and not mean GDP per capita
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       Look at median, and not mean GDP per capita
        
       Author : amin
       Score  : 49 points
       Date   : 2022-08-07 21:26 UTC (1 hours ago)
        
 (HTM) web link (medianism.org)
 (TXT) w3m dump (medianism.org)
        
       | [deleted]
        
       | jstx1 wrote:
       | It's hard to take this seriously when the author mixes up the
       | basic meaning of GDP.
       | 
       | > For example, when economists think about how "the economy" is
       | doing, they have traditionally focused on total income (GDP) or
       | per-capita income (mean GDP) as the most important measure.
       | 
       | No, they don't. GDP isn't income at all, they're completely
       | different metrics.
       | 
       | And in fact the article never mentions "median GDP" like the
       | posted title suggests, it switches to "median income" because
       | median GDP isn't even a thing that you can calculate since it's
       | not a metric that exists for each individual person (therefore no
       | median).
       | 
       | How did this get to the front page?
        
       | maerF0x0 wrote:
       | Why 50th percentile? Why not 49th, or 25th?
       | 
       | I've actually had this running theory that all civil servants
       | should be paid a fixed percentile of income. This would give them
       | all an interest in ensuring that income/GDP goes up and that it
       | goes up for those below them. (in percentile)
        
         | [deleted]
        
       | divan wrote:
       | There is a great book explaning the philosophy, story and problem
       | of using averages in many fields - "The End of Average" by Todd
       | Rose. [1]
       | 
       | I originally found it from the fascinating article on how using
       | averages in the design of military plane cockpit resulted in many
       | pilot deaths. That's the best introduction I've seen about
       | uselessness of averages with multiple dimensions (with more than
       | 3 dimensions it goes bananas). The article is actually is an
       | excerpt from the book, so you can get the sense of the book level
       | from it. [2]
       | 
       | [1] http://www.toddrose.com/endofaverage
       | 
       | [2] https://www.thestar.com/news/insight/2016/01/16/when-us-
       | air-...
        
       | amelius wrote:
       | Don't even look at GDP, look at happiness of people instead.
       | 
       | Fetishizing the GDP will only accelerate the climate problem.
        
         | gruez wrote:
         | > Don't even look at GDP, look at happiness of people instead.
         | 
         | Bread and circuses for everyone!
        
       | rightbyte wrote:
       | The author is just as wrong as the people he criticizes.
       | A much better measure of "the economy" is median income because
       | that is a more accurate reflection of the economic well being of
       | most people.
       | 
       | This is a problem in many fields including engineering.
       | 
       | A median or average has a measurement error (and just because one
       | bar is higher than another it doesn't really mean it is actually
       | higher).
       | 
       | The distribution is what is interesting and important.
       | 
       | Which gives, start publishing numbers as (x1,x2,x3,x4,x5) at
       | 10,30,50,70,90th percentile or whatever. And give up pretending
       | complex system are simple.
        
         | mihaic wrote:
         | Fully agree.
         | 
         | Most people use life expectancy at birth to believe that
         | everyone died in their 30s in ancient times, even though these
         | numbers are skewed because of huge infant mortality.
         | 
         | Introducing something like life-expectancy at birth, 5, 10, 20,
         | 40 years would paint a much better picture, but it takes hard
         | work and a belief that your audience is not stupid.
        
         | bfung wrote:
         | https://medianism.org/medianism/about_the_medianist/
         | Who Is This Medianist?               Jonathan Andreas is an
         | Associate Professor at Bluffton University who received his
         | Ph.D. in Economics from the University of Illinois at Chicago.
         | 
         | Ok, cool, not some armchair tech bro that spent 5 minutes
         | writing up some blog.
        
         | [deleted]
        
         | dwater wrote:
         | This is stats 101. Mean and median are measured of central
         | tendency, and the median is generally better for skewed
         | distributions. The 5 number summary (or your 5 percentiles)
         | gives slightly more information, but ultimately you are
         | summarizing a complex distribution with a few simple stats.
         | There are upsides (it's fast) and downsides (it's incomplete)
         | to doing so. The real problem is how few people understand
         | stats 101, which makes them easy to mislead.
        
         | pfisherman wrote:
         | I mean if we want to go down that road, then why not just
         | publish the first four moments of the distribution?
        
         | superb-owl wrote:
         | You're technically correct--the distribution carries a lot more
         | information than the average or median alone.
         | 
         | The problem is that many of these decisions are being made
         | democratically, or by democratically elected representatives.
         | They need to be able to explain the impact of their decisions
         | to the average voter.
         | 
         | Having a single number that goes up or down makes communication
         | and coordination a lot easier, and I think it's worth
         | discussing what the best single number might be.
        
           | coldtea wrote:
           | Or those "elected represenatives" could help educate the
           | people - to e.g. understand distributions.
           | 
           | But instead they educate them in BS, both in schools, and
           | through their government communication. It's more convenient
           | to emphasize BS in curriculums than proper life/political
           | skills...
        
           | scarmig wrote:
           | Choosing a single number necessarily removes information
           | about the distribution, though, and which information is
           | being discarded is inherently a political decision. The
           | Rawlsian veil of ignorance (at least a naive version) would
           | have us choose p0 as the meaningful number; a utilitarian
           | with certain beliefs about the marginal utility of money
           | would prefer the distribution mean. Even the choice to use a
           | normalize GDP per capita is taking a strong stance on the
           | repugnant conclusion.
        
           | JackFr wrote:
           | > They need to be able to explain the impact of their
           | decisions to the average voter.
           | 
           | No, not the "average" voter - messaging should be aimed at
           | the marginal voter.
        
         | AstralStorm wrote:
         | It so happens that the most useful number is usually the
         | dominant (also known as mode or most common value), which is
         | not visible on the histogram, especially for flat heavy tailed
         | distributions such as income these days.
        
           | thaumasiotes wrote:
           | > the most useful number is usually the dominant (also known
           | as mode or most common value), which is not visible on the
           | histogram
           | 
           | Are you kidding? It's the highest point on the histogram; a
           | histogram places very heavy visual emphasis on the mode while
           | obscuring the mean and median.
        
             | AstralStorm wrote:
             | Sometimes true, but it is the only value that can be
             | estimated without error in some cases. Neither median nor
             | average is useful for a central tendency in a weird
             | distribution - and income tends to be one.
             | 
             | Histograms typically bucket data potentially hiding the
             | true value of mode or adding error to it. It really should
             | be given directly, with a count of occurences.
             | 
             | Mode is not the same as modal class - which is what you
             | would get from a histogram.
        
         | pastacacioepepe wrote:
         | > Which gives, start publishing numbers as (x1,x2,x3,x4,x5) at
         | 10,30,50,70,90th percentile or whatever. And give up pretending
         | complex system are simple.
         | 
         | How are then the institutions going to sell us the narrative
         | that all is well and growth is always good, once we realize
         | poor people stay poor and rich people get richer?
        
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