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Math Science

Huge Math Error Corrected In Black Plastic Study (arstechnica.com) 105

Ars Technica's Beth Mole reports: Editors of the environmental chemistry journal Chemosphere have posted an eye-catching correction to a study reporting toxic flame retardants from electronics wind up in some household products made of black plastic, including kitchen utensils. The study sparked a flurry of media reports a few weeks ago that urgently implored people to ditch their kitchen spatulas and spoons. Wirecutter even offered a buying guide for what to replace them with. The correction, posted Sunday, will likely take some heat off the beleaguered utensils. The authors made a math error that put the estimated risk from kitchen utensils off by an order of magnitude.

Specifically, the authors estimated that if a kitchen utensil contained middling levels of a key toxic flame retardant (BDE-209), the utensil would transfer 34,700 nanograms of the contaminant a day based on regular use while cooking and serving hot food. The authors then compared that estimate to a reference level of BDE-209 considered safe by the Environmental Protection Agency. The EPA's safe level is 7,000 ng -- per kilogram of body weight -- per day, and the authors used 60 kg as the adult weight (about 132 pounds) for their estimate. So, the safe EPA limit would be 7,000 multiplied by 60, yielding 420,000 ng per day. That's 12 times more than the estimated exposure of 34,700 ng per day. However, the authors missed a zero and reported the EPA's safe limit as 42,000 ng per day for a 60 kg adult. The error made it seem like the estimated exposure was nearly at the safe limit, even though it was actually less than a tenth of the limit.
"We regret this error and have updated it in our manuscript," the authors said in a correction.

"This calculation error does not affect the overall conclusion of the paper," the correction reads. The study maintains that flame retardants "significantly contaminate" the plastic products, which have "high exposure potential."
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Huge Math Error Corrected In Black Plastic Study

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  • Good. Science works. (Score:5, Informative)

    by greytree ( 7124971 ) on Tuesday December 17, 2024 @02:04AM (#65018611)
    Correcting errors shows honesty and pride in a good job.

    (Slashdot editors take note.)

    It would be a sign of their doing actual science if a few psychology papers were corrected sometimes.
    • Speaking of actual science, I’d love to see how the FDA determined “safe” limits for ingesting flame retardant on a daily basis, and how often that is re-evaluated. Preferably before the expected class-action against flame retardants happens because of a math “error” that carved out billions in profit for decades while killing millions prematurely.

      Sorry for my obvious skepticism, but class-actions like this have practically become an American tradition. I’d prefer to ma

      • *EPA not FDA. (Or perhaps it should be both.)

      • The information is out there. You just have dig for it, in the gigantic mass of documentation that the US government produces. Somewhere there is a document that discusses their evaluation of the exposure, risk, etc. The EPA tends to be pretty conservative about their estimates. I have little faith in academic toxicologists having read too many of their studies and found them riddled with experimental flaws that push the data to their predetermined conclusions. My take on toxicologists is simple. In a
      • 1) Consult with industry regarding their practices, the extent of their desire to change and the associated cost.
        2) Accept donations as votes for particular 'safe levels' in the final report
        3) Publish report

        Did I win?

    • This youtuber actually read the paper, noticed the error, and said he emailed them for clarification. https://youtu.be/58HUM40gDPU?s... [youtu.be]
    • Re: (Score:2, Troll)

      by backslashdot ( 95548 )

      You really have it out for the slashdot editors huh? Show us where they touched you.

    • Yes it does but here it also raises questions about competency when the error is in multiplying two numbers together that are simple enough you can do it in your head and the result is critical to the overal claims of the paper. At the very least this is definitely not a "good job" nor is it something that anyone should have any pride in, embarassment would be the more appropriate response.

      What is more concerning though is the claim that "This calculation error does not affect the overall conclusion of t
  • by Deal In One ( 6459326 ) on Tuesday December 17, 2024 @02:08AM (#65018615)

    When such a big error is made, and the results indicate something that your employers (environmental health advocacy group Toxic-Free Future) may disagree with, and you claim that it does not change the conclusions, I think something smells.

    • Yep... somewhere bottles of champagne are uncorked and people are celebrating the results of their daring strategy.
    • by test321 ( 8891681 ) on Tuesday December 17, 2024 @04:04AM (#65018733)

      Summary: The conclusions are unaffected because they did not use this number to draw conclusions.

      1) The mistake, while big, was also exceptionally easy to spot and correct, due to their very explicit presentation of the multiplication. Anyone could find the mistake my just knowing 6x7=42 and finding out the missing zero (and indeed a youtuber foud it). The affected paragraph (my emphasis):

      This compares to a BDE intake in the U.S. of about 250 ng/day from home dust ingestion and about 50 ng/day from food (Besis and Samara, 2012) and would approach the U.S. BDE-209 reference dose of 7000 ng/kg bw/day (42,000 ng/day for a 60 kg adult) (United States Environmental Protection Agency, 2008).

      2) Their affected sentence "would approach the dose" is still correct to 1/10 of the exposure limit. 1/10 of limit is also a "significant" amount as they say.

      3) They do nothing with the value. They don't use this value to claim some items in particular are dangerous, or that we should prohibit something. They say the amounts are significant and regulatory agencies should look into it. Both are correct in either case. Here are the conclusions:

      These results show that when toxic additives are used in plastic, they can significantly contaminate products, made with recycled content, that do not require flame retardancy. Products found in this study to contain hazardous flame retardants included items with high exposure potential, including food-contact items as well as toys. Regulatory bodies have begun to address the use of certain classes of flame retardants (The New York State Senate, 2021; Washington State Department of Ecology, 2022), but more regulation is needed to end the use of hazardous additives and ensure that replacements are made with safer materials and chemicals.

      • I correct myself, as they suggest to replace something with safer materials, they do advocate to somehow prohibit something as a result of their measurements.

        But still 1/10 of exposure limit is a significant value that indeed "approaches" the problematic level. For example I don't want leaded paint leakage in drinking water, even if the lead amount is 1/10 of lead exposure limit. I'd want it to be thousands or millions of times smaller than the exposure limit. If you told me lead in my drinking water is 1/1

        • by Mirddes ( 798147 )

          pretty much.

        • I haven't read the study. But my understanding is that this calculation is essentially per item. I do have (and use regularly) both a black plastic spatula and a black plastic spoon. And I use both on the same meal regularly (even though not every day). My understanding is that this would put me at about 20% of daily limit. For something that is innocuous, that is concerning still.

          I would not be surpised if some people use entire sets of black plastic cooking utensils.

      • Their affected sentence "would approach the dose" is still correct to 1/10 of the exposure limit. 1/10 of limit is also a "significant" amount as they say.

        Sorry but less that a tenth of a dose is not an amount that is "approaching the dose" any more than 10 cents is an amount approaching a dollar. They would never have written the conclusion that way had they spotted their error before publication and, if they had, any competent referee would have complained that the wording was inconsistent with what the data showed.

    • and you claim that it does not change the conclusions, I think something smells.

      Not everything is a conspiracy. If I decide to punch you in the nose instead of shooting you in the leg would you change the conclusion of "you are in pain" simply because the pain is lower?

      The conclusion of the study stands based on the observations, even after the correction. Flame retardants contaminate the plastic and have a potential for exposure. The fact that the exposure potential isn't right up against the EPA safe limit doesn't change the fact that there's potential for exposure.

    • exactly, clearly their conclusions are major league suspect because they are talking about less than 10% of what was deemed safe. Me, I am all for not ingesting things that are bad for me, but to acknowledge this huge error and then say it doesn't effect their conclusions is ridiculous. Also, it makes me wonder what other simple math errors they made?
    • When such a big error is made, and the results indicate something that your employers (environmental health advocacy group Toxic-Free Future) may disagree with, and you claim that it does not change the conclusions, I think something smells.

      The error was in the EPA limit they quoted, in what way does that affect their results?

  • by 93 Escort Wagon ( 326346 ) on Tuesday December 17, 2024 @03:02AM (#65018663)

    Obviously these weren't American scientists...

  • by Sydin ( 2598829 ) on Tuesday December 17, 2024 @05:39AM (#65018809)

    Except it absolutely does. The original conclusion was that using black plastic cooking utensils could potentially expose you to a nearly unsafe amount of BDE-209 and that this was a cause for concern. With the math error corrected though, it turns out black plastic cooking utensils don't even remotely expose you to unsafe amounts of BDE-209, and are thus in all likelihood as safe for use as any other utensil. Kudos to the authors for noticing and correcting the error, but they should have gone the distance and admitted that their error made the fundamental thesis of the paper incorrect.

    • Cooking with a black plastic utensil for 10 days will expose you to the annual limit.... That seems very concerning. Not as bad as hitting that limit in one day, but hardly comforting.
      • by hipp5 ( 1635263 )

        That EPA limit is per day.

      • by XXongo ( 3986865 )
        Nope. Units quoted are nanograms per day.

        --also, turns out that when they investigated actual black plastic objects, the only one that had BDE-209 even approaching limits was.. a sushi tray.

      • by Zak3056 ( 69287 )

        Cooking with a black plastic utensil for 10 days will expose you to the annual limit.... That seems very concerning. Not as bad as hitting that limit in one day, but hardly comforting.

        It's the daily limit, not the annual limit. So you've taken the original "order of magnitude" error and turned it into more than two orders of magnitude. Good show.

    • Except it absolutely does. The original conclusion was that using black plastic cooking utensils could potentially expose you to a nearly unsafe amount of BDE-209 and that this was a cause for concern.

      You made up your own conclusion and complained that *your* conclusion was inaccurate. Not theirs. Their conclusion was that the exposure is considered one of the primary exposure sources in the home (which it still is). Their conclusion is that there was "expected" exposure in the household (which there still is). Their conclusion hasn't changed. You can go read it in its original glory.

      but they should have gone the distance and admitted that their error made the fundamental thesis of the paper incorrect.

      The fundamental thesis of their paper was to check
      "the presence of FRs in plastic household items on
      the U.S. market, parti

    • by AvitarX ( 172628 )

      The fact that merely cooking dinner exposes to 10% I do think supports that it exposes you to a significant amount and warrants looking into it overall.

      It only takes 10 10%s a day to get there. Breakfast and dinner may get one to ~20% alone.

      It definitely isn't as bad as the report first indicated, but if one is truly getting 10% here and there (I'm not reading the actual study) it seems pretty reasonable to doo some broader research and see how much the average exposure from sources like this is per a day

  • You know what exposes me to zero flame retarding chemicals? Metal and wooden utensils.

    I feel like ingesting any of those chemicals isn't worth it. Maybe we shouldn't?

    • Re: (Score:2, Informative)

      by ledow ( 319597 )

      Wooden utensils and chopping boards are one of the best surfaces for harbouring bacteria.

    • Toxicity is always a matter of quantity. Salt is toxic in large enough quantities. Are you going to eliminate salt? Even water is toxic, in large enough quantities.

      When deciding what to avoid, zero tolerance is not valid or wise.

  • by FeelGood314 ( 2516288 ) on Tuesday December 17, 2024 @06:49AM (#65018885)
    My girlfriend runs an electron microscopy lab. She is terrible at math but she's better than everyone she manages and most of her clients when it comes to doing simple ratios. Moving the decimal places the wrong way or getting division and multiplication mixed up is common. These people can memorize equations but don't understand them. When my girlfriend is the first to notice number is off by a factors of 100 there is a problem.
    I'm going to put the blame on highschool and university math teachers. In most coarses blindly memorizing without understanding what you are doing leads to the highest marks. Teaching to actually understand the problem is seen as unfair because the exam might have a question that wasn't exactly covered in class.
    • This is sad to hear. Inability to do basic arithmetics is a form of illiteracy.

      • With a calculator on every phone, who does basic arithmetic anymore.
        • That's exactly the problem. If a nuclear or other apocalypse happens and calculators are no more, the survivors will be returned to the stone age.

        • If you have no number sense you cannot be sure the number is right. Maybe somebody accidentally tapped one too many zeroes.

        • uh, I almost never use the calculator on my phone, because, as with anything, if you don't use it, you loose it. (meaning the capability to do simple math in my head)
        • For most day to day arithmetic, it's quicker to just do it in my head. I never remember where the calculator icon is on my phone.

        • I do, as often it's faster than pulling the phone out to fiddle with tiny touch sensitive interfaces. I often have to enter my PIN twice to get in because I can't even hit those numbers accurately.

          Also, very important, knowing arithmetic lets you better know when the calculator is wrong! Very often using calculators or computers makes the operator assume that any output is correct, even if the input is wrong.

          I have seen issues in many stores that have had power or networks go out, the staff is literally u

          • A lot of places are now so computerized that if the system goes down, they cannot do anything at all. Everything is connected to a bar code reader and an inventory system.
      • by Zak3056 ( 69287 )

        This is sad to hear. Inability to do basic arithmetics is a form of illiteracy.

        I want to correct you to say "that would be ilnumeracy" but apparently "ilnumerate" is not a word.

        It should be, though. Now I'm wondering what that says about my literacy.

    • Teaching to actually understand the problem is seen as unfair because the exam might have a question that wasn't exactly covered in class.

      Teaching to understand the problem is impossible because the average IQ of the students is plummeting and schools have a political and social mandate to graduate students at the specified rate.

      • How can I drop? It's always measured against your cohort. If your whole cohort is getting stupider, the IQ values will still have a median of 100.

        • Great example. Mistaking the map for the territory is a great indication of lower intelligence.
        • by AvitarX ( 172628 )

          What happens if more people go to school and stay in school vs the past?

          I don't know or even necessarily believe the premise is true (all I've been hearing my whole life is how they're forcing people to stay in school and forcing them ahead etc. etc., but I don't see a particular drop over the decades).

          But it seems possible the average IQ in school or of highschool graduates can change over time. And for college is seems extremely likely that with an increase in people attending the IQ could change.

    • hmmmm, it is not that simple. Having taught physics to both Biology majors and young proto-physicists and proto-engineers, I can honestly tell you that many people in Biology don't really understand math and are not required to take as much as the physics majors and the engineers... They are howefver really, really, really good at memorization. . Your statement that, "These people can memorize equations but don't understand them" made me think she may be a biologist or is surrounded by them
      • "These people can memorize equations but don't understand them" made me think she may be a biologist or is surrounded by them

        Correct and almost all her clients are biologists. A few chemical and material engineers but they can do math.

        • Yeah, the biologists I taught could memorize stuff soooooo fast it was amazing, but trying to teach them basic physics, well.... they always had a rough time understanding not only the math but also how it applies to the problem at hand.

          I mean no disrespect to them at all, I, a physicist, can barely memorize anything! Math though, that's like my second language.Sometimes feels like my first language!

          • Math should be treated as a required 2nd language. It should also replace 2nd language study in school... meaning MORE required math. They can also slow down the rate and really hammer points home so Americans can realize 1/4 is less than 1/3 (that is a problem.)

            If people want to learn another human language, they can travel somewhere which also will teach them far far more than they ever could get in a classroom. Given how massive communication is and the problems it creates, we need to better focus on pr

            • As a boomer, I take umbrage with your comment. You've no idea of the double digit inflation we went through in the 70's and 80's. Apparently you've no idea that the boomers created the EPA, fought for equal rights for our non-white citizens. But hey, you want to blame somebody, get used to the blame targetting YOU in 20 years or so.
              • Doesn't matter if you personally are offended. The generation screwing things up as the largest voting block for generations earns the blame. The greatest generation gets credit for great things; boomers don't even earn all the credit they get. Furthermore, the good work of youth doesn't erase the bad work of the much longer middle and late stages of life. I've known plenty of boomers; they didn't fight for civil rights at all, they weren't against it but they did nothing at the time. Vietnam too. But they

              • I recommend you look at the a great British documentary series : "The century of the self" to see how things shifted; it's also impacted subsequent generations.

                https://www.imdb.com/title/tt0... [imdb.com]

    • What about having someone verify your work or at least proof read your paper? Being strong in math is great, but having someone double check your math is even better.

      -Two eyes are better and all that.
      • Because someone good at math will charge $1000 just to open your paper*, where as a biology grad will make minimum wage.

        *and that was 10 years ago. I don't know what the going rate is now.
    • And yet, teaching the understanding of math freaks out a lot of people who think you just need to memorize. Big backlashes over "new math" and anything else that tries to get young brains to understand mathematics and not just memorizing times tables.

  • That's the dollar store breathing a sigh of relief.
  • by rickb928 ( 945187 ) on Tuesday December 17, 2024 @09:40AM (#65019203) Homepage Journal

    This error sailed through review because the results most likely confirmed the authors' presumptions - that fire retardants are dangerous to human life when used in common utensils.

    Apparently this survived rigorous internal review? Nope, it survived their hopes and dreams.

    • Richard Feynman famously said that you have to be very careful when performing an experiment, because you are also the easiest person to fool... simply because of unconscious biases that may exist. Your comment is astute. I agree.
    • No need for confirmation bias here. The study had nothing to do with judging the safety or even comparison against the EPA numbers, that would be a different fantasy study everyone else made up in their head. This study was to see what quantities of these chemicals were released and if the quantities are unexpected. Nothing more. The reviewers would have made a detailed review of the math in the raw data (which was correct) and confirmed the conclusion of the thesis was backed up by the data (which it was).

  • We already have plenty of exposure from countless other sources. Increasing it significantly is a bad idea, especially in food. Also epa limits are influenced by politics, usually lowered, so I don't feel confident about them. I prefer to stay as far below as possible.

  • Did the scientists want a particular conclusion and worked backwards from there using knowingly fake date, hoping not to get fact checked?

  • The test itself was extremely unrealistic even without the math error. To show that the relevant chemicals could leach into cooking oil, they immersed the spatula in boiling cooking oil for a full 15 minutes. Nobody actually cooks like that. In real-world usage of just stirring for 2-3 seconds every minute or two, the dose would have almost certainly been well below the incorrect number.

    • There are many things I stir almost continuously; like noodles. Otherwise it boils over quickly (small apartments lead to small pots). I wouldn't do it with oil though, and I use a wooden spoon.

      • You could experiment with lowering the heat after it reaches boiling. There is no reason to boil noodle vigorously unless you are lacking a hobby or need the brush with danger to make you feel alive. Some folks even turn the heat off after it boils and allow it to cook covered with a stir or two for luck. I started doing this and noticed zero difference to the end product.
  • Peer review fail.

  • Rule of thumb: if you see a "science" story pop up that sounds scary and recommends buying something, it's junk science.

    I've been safely avoiding clicking on this alarmist black plastic headline for the last couple of weeks. Any headline that sounds scary is bullshit.

    • Rule of thumb: if you see a "science" story pop up that sounds scary and recommends buying something, it's junk science.

      I've been safely avoiding clicking on this alarmist black plastic headline for the last couple of weeks. Any headline that sounds scary is bullshit.

      Way to live without fear! Nothing can hurt you --by definition!

      It's so true that there is absolutely no history of science discovering a public health issue, it's a shame people don't get that... so much wasted anxiety.

  • This is why I roll my eyes when a food or drink manufacturer proudly advertises their item is encapsulated in recycled plastic.

    Like mineral water in bottles made from recycled plastic. Really? One of the world's best solvents is in contact with material you cannot trust. You do not know what exactly is leaching into the water. And that's a good thing?

      Virgin plastics only in contact with food and drinks, please!

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