By the Numbers: Autism Is Not a Math Problem

There are 2,027 ways to be diagnosed with autism in DSM-IV and only 11 ways in DSM-5, but the numbers alone are misleading















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SOMETHING DOES NOT ADD UP: There are many more ways to be diagnosed with autism in DSM-IV than in DSM-5, but looking at the numbers alone doesn't tell you much. Image: Acdx, Wikimedia Commons

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At a meeting of the Icelandic Medical Association last week, Yale University child psychologist Fred Volkmar gave a presentation on how the American Psychiatric Association (APA) is changing the definition of autism. In his talk, Volkmar came to a startling conclusion: more than half of the people who meet the existing criteria for autism would not meet the APA’s new definition of autism and, therefore, may not receive state educational and medical services.

The APA defines autism in a reference guide for clinicians called the Diagnostic and Statistical Manual for Mental Disorders (DSM). The newest version of the manual, the DSM-5, is slated for publication in May 2013.

In Iceland, Volkmar presented data from an unpublished preliminary analysis of 372 high-functioning autistic children and adults with IQs above 70. He plans to publish a broader analysis later this year. On a key PowerPoint slide that Volkmar shared with Scientific American, he notes that there are 2,688 ways to get a diagnosis of autistic disorder in DSM-IV, but only six ways to get a diagnosis of autism spectrum disorder in DSM-5. Although intriguing at first glance, it turns out that both these numbers are slightly wrong—and that they are pretty much useless when comparing the DSM-IV and DSM-5. You cannot reduce autism to a math problem.

Scientific American wanted to explore this gaping discrepancy further, so we asked astronomer and Hubble Fellow Joshua Peek of Columbia University to code a computer program that would calculate the total possible ways to get a diagnosis of autistic disorder in DSM-IV and the total possible ways to get a diagnosis of autism spectrum disorder in DSM-5. You can do the math by hand, too, if you like: It all comes down to factorials. The DSM-IV criteria are a set of 12 items in three groups from which you must choose 6, with at least two items from group one and at least one item each from groups two and three. The DSM-5 criteria are a set of seven items in two groups from which you must choose five, including all three items in group one and at least two of the four items in group two. Peek's program crunched the numbers: there are 2027 different ways to be diagnosed with autism in DSM-IV and 11 ways to be diagnosed with autism in DSM-5.

One might think that those statistics make it absurdly easy to qualify for a diagnosis of autism in DSM-IV and incredibly difficult to meet the criteria for autism in DSM-5, but those numbers alone don't tell you anything unless you understand how common each symptom of autism is in the general population. Symptoms of autism are not randomly distributed throughout the population and the symptoms do not cluster together in random combinations. Research in the past decade has shown that some symptoms appear together much more often than others. In fact, that is one of the main reasons that the APA has consolidated the DSM-IV criteria for autism into fewer, denser and more accurate criteria in the DSM-5. The idea is that the DSM-IV criteria allowed for too many possible combinations, many of which rarely occur; the DSM-5 criteria, in contrast, better reflect the most common combinations of symptoms.

Specifically, the APA has merged two distinct groups of symptoms from the DSM-IV—deficits in communication and deficits in social interaction—into one group in the DSM-5 because someone with autism almost always has both kinds of symptoms.



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  1. 1. DrBrocktagon 09:20 AM 1/30/12

    There was a similar discussion over on the Autism and Oughtisms blog last year, in response to my own blogpost where I did the same calculation for DSM IV (I arrived at 2027 too).

    http://autismandoughtisms.wordpress.com/2011/09/02/drastic-drop-in-asd-diagnosis-variations-from-dsm-iv-2027-to-the-proposed-dsm-5-just-11/

    http://crackingtheenigma.blogspot.com/2011/02/exactly-how-many-ways-are-there-to-get.html

    As you say, the drop from 2027 to 11 sounds dramatic but is pretty meaningless.

    The 8 symptoms under Social and Communication are being replaced with one single symptom, “Deficits in social-emotional reciprocity”. But to meet this criterion you can show anything “from abnormal social approach and failure of normal back and forth conversation through reduced sharing of interests, emotions, and affect and response to total lack of initiation of social interaction”.

    Not consolidation so much as repackaging.

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  2. 2. Goettel 12:24 PM 1/30/12

    As long as the (industry sponsored) DRM groups arbitrary collections of symptoms together into voted-on 'definitions' I wouldn't trust it for any diagnosis.

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  3. 3. Goettel 12:24 PM 1/30/12

    *DSM

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  4. 4. Teako 08:05 PM 1/30/12

    The over-diagnosis of autism in our school districts has sucked all of the money out of the gifted programs because by federal law you are essentially handcuffed from making any cuts for any economic reason at all.

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  5. 5. AutismDad 11:46 AM 1/31/12

    My son is autistic and mentally retarded, and we can use extre help with him, but it's true, gifted kids, like my other two, are a far better investment, and they get very little. My daughter is in an after school program so that we have more time for my son's lessons, but the after school, which is great, focuses on "needy" kids. Again not good investments compared to the smart kids. We are broke and need to spend our borrowed money more wisely.

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  6. 6. AutismDad 02:11 PM 1/31/12

    Another things should be said about "autism". The psychiatric definition and legal and political side of this may be a mess, but the basic brain research into causes is blasting along, and should be financed, there are tremendous public health benefits almost at hand.

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  7. 7. Daniel35 10:16 PM 2/2/12

    I tend to think in terms of spectra rather than categories, as in the "autism spectrum", except as language requires otherwise. How many people can claim zero characteristics of any mental condition? What is "normal" and who can claim it in any category, and who would want to? Giving help should be based on how much is needed, and whether or not they'd be more socially productive if left to choose their own treatment, not on whether they 'have" the condition. Some creative artists and inventors have been seen as high on the autism spectrum.

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By the Numbers: Autism Is Not a Math Problem

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