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  3. There is an art (and a science) to numerical precision that seems lost in software, writing and conversation.

There is an art (and a science) to numerical precision that seems lost in software, writing and conversation.

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  • kevlin@mastodon.socialK kevlin@mastodon.social

    I still remember a moment about 10 years ago (note that I say "about 10 years ago" and not "about 3652 days ago") when a project manager showed me a plan that showed me progress on a task that had been estimated at around 2 months.

    "We're 52.5% complete on this task," she told me.

    That many significant figures on something as woolly as progress on an estimated multi-person task is just noise.

    "There *is* a chance you might be about half done, but even that's optimistic," I said.

    kevlin@mastodon.socialK This user is from outside of this forum
    kevlin@mastodon.socialK This user is from outside of this forum
    kevlin@mastodon.social
    wrote last edited by
    #6

    You see this kind of nonsense all the time in the press as well as project progress or company performance discussions, with people reading false meaning into minor percentage point differences, differences that would be swallowed up if anyone took the time to put error bars on their numbers.

    kevlin@mastodon.socialK 1 Reply Last reply
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    • kevlin@mastodon.socialK kevlin@mastodon.social

      In such cases, it makes the company and the software authors look incompetent and clueless about their own domain, whereas they should present the exact opposite.

      This doesn't mean that your plan or your calculations don't contain such precision, but there is an art to presentation logic and UX that has been developed over many decades — as well as experimental science and metrology over centuries — that often seems thrown out the window when it comes to presenting something in a window.

      cdonat@hostsharing.coopC This user is from outside of this forum
      cdonat@hostsharing.coopC This user is from outside of this forum
      cdonat@hostsharing.coop
      wrote last edited by
      #7

      @kevlin

      I disagree, that it's an art, that these developers fail in. It's the essence of their craft: communication. Code is communication, nothing more, nothing less. If you fail at communication, you fail at programming.

      1 Reply Last reply
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      • kevlin@mastodon.socialK kevlin@mastodon.social

        You see this kind of nonsense all the time in the press as well as project progress or company performance discussions, with people reading false meaning into minor percentage point differences, differences that would be swallowed up if anyone took the time to put error bars on their numbers.

        kevlin@mastodon.socialK This user is from outside of this forum
        kevlin@mastodon.socialK This user is from outside of this forum
        kevlin@mastodon.social
        wrote last edited by
        #8

        You also see it when people are switching between units. For example, a journalist asking Google for a unit conversion on an approximate figure in one system of measurement into another.

        "The car went another two kilometers (1.243 miles) before it was stopped by the police."

        "He was said to be about 6 feet (182.88 cm) tall."

        Such numerical solecisms are all the more ironic in outlets that claim they value accuracy in their reporting.

        kevin@mastodon.km6g.usK 1 Reply Last reply
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        • kevlin@mastodon.socialK kevlin@mastodon.social

          You also see it when people are switching between units. For example, a journalist asking Google for a unit conversion on an approximate figure in one system of measurement into another.

          "The car went another two kilometers (1.243 miles) before it was stopped by the police."

          "He was said to be about 6 feet (182.88 cm) tall."

          Such numerical solecisms are all the more ironic in outlets that claim they value accuracy in their reporting.

          kevin@mastodon.km6g.usK This user is from outside of this forum
          kevin@mastodon.km6g.usK This user is from outside of this forum
          kevin@mastodon.km6g.us
          wrote last edited by
          #9

          @kevlin Would statements like "over 10 new features" fall into this category? It's an intentionally imprecise statement in the hope that a gullible reader/listener might think the actual number is 90, when of course the number is 11.

          kevlin@mastodon.socialK 1 Reply Last reply
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          • kevlin@mastodon.socialK kevlin@mastodon.social

            I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

            To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

            It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

            bix@chaos.socialB This user is from outside of this forum
            bix@chaos.socialB This user is from outside of this forum
            bix@chaos.social
            wrote last edited by
            #10

            @kevlin or the “order before end of the day” timeframe is shown as before 23:59 or even worse before 23:55 when we all (should) know the day ends at 24:00 (insert 12 hour versions for those who believe in that)

            kevlin@mastodon.socialK 1 Reply Last reply
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            • kevin@mastodon.km6g.usK kevin@mastodon.km6g.us

              @kevlin Would statements like "over 10 new features" fall into this category? It's an intentionally imprecise statement in the hope that a gullible reader/listener might think the actual number is 90, when of course the number is 11.

              kevlin@mastodon.socialK This user is from outside of this forum
              kevlin@mastodon.socialK This user is from outside of this forum
              kevlin@mastodon.social
              wrote last edited by
              #11

              @kevin It's a related but slightly different category: that of misleading approximations. Rather than providing needless precision, the answer is accurate, but overly suggestive, playing unreasonably with someone's reasonable expectations.

              1 Reply Last reply
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              • bix@chaos.socialB bix@chaos.social

                @kevlin or the “order before end of the day” timeframe is shown as before 23:59 or even worse before 23:55 when we all (should) know the day ends at 24:00 (insert 12 hour versions for those who believe in that)

                kevlin@mastodon.socialK This user is from outside of this forum
                kevlin@mastodon.socialK This user is from outside of this forum
                kevlin@mastodon.social
                wrote last edited by
                #12

                @bix Gotta love the 12-hour clock. Most people who use it have no proper idea how it works, and will get 12:00 AM/PM wrong (as well as getting confused about the status of 12:01).

                Did some work for a logistics company a number of years ago. One of their promo posters got this wrong (or sent mixed messages, depending on your perspective) with something along the lines of "Before midday next delivery: guaranteed before 12:00 AM", which is one statement offering two very different promises 🙃

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                • kevlin@mastodon.socialK kevlin@mastodon.social

                  I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

                  To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

                  It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

                  gerbrand@fosstodon.orgG This user is from outside of this forum
                  gerbrand@fosstodon.orgG This user is from outside of this forum
                  gerbrand@fosstodon.org
                  wrote last edited by
                  #13

                  @kevlin Arguably here the minute does make some sense. It's a confidence interveal, presumably with 95% confidence level.

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                  • kevlin@mastodon.socialK kevlin@mastodon.social

                    I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

                    To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

                    It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

                    m1ke@phpc.socialM This user is from outside of this forum
                    m1ke@phpc.socialM This user is from outside of this forum
                    m1ke@phpc.social
                    wrote last edited by
                    #14

                    @kevlin this one has always seemed ridiculous to me - especially when the drivers often don't even show within the 2h window

                    1 Reply Last reply
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                    • kevlin@mastodon.socialK kevlin@mastodon.social

                      I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

                      To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

                      It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

                      ronjeffries@mastodon.socialR This user is from outside of this forum
                      ronjeffries@mastodon.socialR This user is from outside of this forum
                      ronjeffries@mastodon.social
                      wrote last edited by
                      #15

                      @kevlin
                      I hope that soon this will be my biggest gripe about the world! 😆

                      1 Reply Last reply
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                      • kevlin@mastodon.socialK kevlin@mastodon.social

                        I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

                        To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

                        It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

                        zudnick@mas.toZ This user is from outside of this forum
                        zudnick@mas.toZ This user is from outside of this forum
                        zudnick@mas.to
                        wrote last edited by
                        #16

                        @kevlin I'm pretty sure it's actually done on purpose. A lot of people confuse accuracy with precision, so a very precise value - Google Maps telling me it'll take 4 hours 21 mins to get to London if I leave now - makes people believe it must be right.

                        kevlin@mastodon.socialK 1 Reply Last reply
                        0
                        • zudnick@mas.toZ zudnick@mas.to

                          @kevlin I'm pretty sure it's actually done on purpose. A lot of people confuse accuracy with precision, so a very precise value - Google Maps telling me it'll take 4 hours 21 mins to get to London if I leave now - makes people believe it must be right.

                          kevlin@mastodon.socialK This user is from outside of this forum
                          kevlin@mastodon.socialK This user is from outside of this forum
                          kevlin@mastodon.social
                          wrote last edited by
                          #17

                          @zudnick While I certainly believe that some people (and companies) will use this as a cynical ploy, I think that Hanlon's Razor applies far more often.

                          1 Reply Last reply
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                          • kevlin@mastodon.socialK kevlin@mastodon.social

                            I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

                            To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

                            It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

                            kevlin@mastodon.socialK This user is from outside of this forum
                            kevlin@mastodon.socialK This user is from outside of this forum
                            kevlin@mastodon.social
                            wrote last edited by
                            #18

                            Received a message telling me to expect a delivery "between 09:50am and 2:45pm". To their credit, they avoided quoting the estimated range to the minute (or to the second!), but the implication of quoting such limits to a precision of 5 minutes is nonsense given that the window of uncertainty is 5 hours.

                            When developing software systems, understand your domain and understand your users. Your users are human, so go with "between 10am and 3pm" to sound like you know what you're doing.

                            stevefenton@mastodon.socialS mrotteveel@mstdn.socialM H 3 Replies Last reply
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                            • kevlin@mastodon.socialK kevlin@mastodon.social

                              Received a message telling me to expect a delivery "between 09:50am and 2:45pm". To their credit, they avoided quoting the estimated range to the minute (or to the second!), but the implication of quoting such limits to a precision of 5 minutes is nonsense given that the window of uncertainty is 5 hours.

                              When developing software systems, understand your domain and understand your users. Your users are human, so go with "between 10am and 3pm" to sound like you know what you're doing.

                              stevefenton@mastodon.socialS This user is from outside of this forum
                              stevefenton@mastodon.socialS This user is from outside of this forum
                              stevefenton@mastodon.social
                              wrote last edited by
                              #19

                              @kevlin you'll eat your words if they arrive at 09:50, spend five hours unloading your order, and leave at precisely 14:45.

                              kevlin@mastodon.socialK 1 Reply Last reply
                              0
                              • kevlin@mastodon.socialK kevlin@mastodon.social

                                Received a message telling me to expect a delivery "between 09:50am and 2:45pm". To their credit, they avoided quoting the estimated range to the minute (or to the second!), but the implication of quoting such limits to a precision of 5 minutes is nonsense given that the window of uncertainty is 5 hours.

                                When developing software systems, understand your domain and understand your users. Your users are human, so go with "between 10am and 3pm" to sound like you know what you're doing.

                                mrotteveel@mstdn.socialM This user is from outside of this forum
                                mrotteveel@mstdn.socialM This user is from outside of this forum
                                mrotteveel@mstdn.social
                                wrote last edited by
                                #20

                                @kevlin The problem with saying between 10 and 15, is that if they then arrive between 09:50 and 10:00, there will be people who'll complain that they arrived "too early", and if you then instead say between 09:00 and 15:00, then people will complain the window is too wide and "imprecise".

                                The fake(*) precision is part of the message, that it's specific to your delivery and that you shouldn't bother contacting customer service to get a real time window.

                                *: see next reply...

                                mrotteveel@mstdn.socialM bellinghman@wandering.shopB kevlin@mastodon.socialK 3 Replies Last reply
                                0
                                • mrotteveel@mstdn.socialM mrotteveel@mstdn.social

                                  @kevlin The problem with saying between 10 and 15, is that if they then arrive between 09:50 and 10:00, there will be people who'll complain that they arrived "too early", and if you then instead say between 09:00 and 15:00, then people will complain the window is too wide and "imprecise".

                                  The fake(*) precision is part of the message, that it's specific to your delivery and that you shouldn't bother contacting customer service to get a real time window.

                                  *: see next reply...

                                  mrotteveel@mstdn.socialM This user is from outside of this forum
                                  mrotteveel@mstdn.socialM This user is from outside of this forum
                                  mrotteveel@mstdn.social
                                  wrote last edited by
                                  #21

                                  @kevlin *) And even though the window is very wide, it generally isn't fake. In a lot of cases it's based on the actual historic performance of deliveries to your address or neighbourhood. If it's so wide, it usually means the delivery van covers a wide area and the actual route differs too much between days.

                                  For my address, deliveries through PostNL are usually reported with an initial window of one or two hours, and updates (through their app) do get more specific and accurate.

                                  mrotteveel@mstdn.socialM kevlin@mastodon.socialK 2 Replies Last reply
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                                  • mrotteveel@mstdn.socialM mrotteveel@mstdn.social

                                    @kevlin *) And even though the window is very wide, it generally isn't fake. In a lot of cases it's based on the actual historic performance of deliveries to your address or neighbourhood. If it's so wide, it usually means the delivery van covers a wide area and the actual route differs too much between days.

                                    For my address, deliveries through PostNL are usually reported with an initial window of one or two hours, and updates (through their app) do get more specific and accurate.

                                    mrotteveel@mstdn.socialM This user is from outside of this forum
                                    mrotteveel@mstdn.socialM This user is from outside of this forum
                                    mrotteveel@mstdn.social
                                    wrote last edited by
                                    #22

                                    @kevlin Another reason for it being wide, is if they can't plan/allocate ahead in which specific delivery van/delivery route it will be put for delivery, so they use estimates for the two (or more) most likely to be used.

                                    1 Reply Last reply
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                                    • mrotteveel@mstdn.socialM mrotteveel@mstdn.social

                                      @kevlin The problem with saying between 10 and 15, is that if they then arrive between 09:50 and 10:00, there will be people who'll complain that they arrived "too early", and if you then instead say between 09:00 and 15:00, then people will complain the window is too wide and "imprecise".

                                      The fake(*) precision is part of the message, that it's specific to your delivery and that you shouldn't bother contacting customer service to get a real time window.

                                      *: see next reply...

                                      bellinghman@wandering.shopB This user is from outside of this forum
                                      bellinghman@wandering.shopB This user is from outside of this forum
                                      bellinghman@wandering.shop
                                      wrote last edited by
                                      #23

                                      @mrotteveel @kevlin Indeed. That 09:50 figure being to the nearest 5 minutes is not, of itself, a problem. It will be calculated on the basis of the courier leaving the depot at time x, and having a number of journey segments of predictable length. So it's the earliest time that it might arrive. The 2 hour, or 5 hour, finger-in-the-air value? Yeah, it's adding that on and keeping the precision that's the problem

                                      The expected arrival curve is nothing like a Bell curve

                                      mrotteveel@mstdn.socialM kevlin@mastodon.socialK 2 Replies Last reply
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                                      • bellinghman@wandering.shopB bellinghman@wandering.shop

                                        @mrotteveel @kevlin Indeed. That 09:50 figure being to the nearest 5 minutes is not, of itself, a problem. It will be calculated on the basis of the courier leaving the depot at time x, and having a number of journey segments of predictable length. So it's the earliest time that it might arrive. The 2 hour, or 5 hour, finger-in-the-air value? Yeah, it's adding that on and keeping the precision that's the problem

                                        The expected arrival curve is nothing like a Bell curve

                                        mrotteveel@mstdn.socialM This user is from outside of this forum
                                        mrotteveel@mstdn.socialM This user is from outside of this forum
                                        mrotteveel@mstdn.social
                                        wrote last edited by
                                        #24

                                        @bellinghman @kevlin I have worked on transactional emails and push messages that communicate this type of information to users. Communicating time ranges like this, even with the "fake" precision is the easiest to understand for most people. From a business perspective, it also prevents unnecessary calls, and complaints, to customer service.

                                        Being more vague and less specific, even it's mathematically more correct, is not "better", neither for the customer nor the company communicating it.

                                        kevlin@mastodon.socialK 1 Reply Last reply
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                                        • kevlin@mastodon.socialK kevlin@mastodon.social

                                          I sometimes receive notifications that I can expect a delivery in a 2-hour window such as "between 12:07 and 14:07".

                                          To quote to the minute shows a failure of understanding of what an approximate range is, as well traffic and logistics.

                                          It's a 2-hour window of imprecision. Quoting to the minute shows a deep lack of understanding. Quoting to 5-minute intervals is just about acceptable. To 10- or 15-minute is more appropriate significance. But honestly, in this case, to the hour is just fine.

                                          xris@layer8.spaceX This user is from outside of this forum
                                          xris@layer8.spaceX This user is from outside of this forum
                                          xris@layer8.space
                                          wrote last edited by
                                          #25

                                          @kevlin
                                          On the other hand, I hate when Timestamps are given relatively. I prefer unnessesary nanosecond precision over a vague "a few moments ago" any time.

                                          kevlin@mastodon.socialK 1 Reply Last reply
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