Since signing up for Mike Adams’s newsletter the other week (to get this full post from him), I’ve been getting a daily load of “Health Ranger” woo in my mailbox. I’ve been ignoring most of it, but I thought it worth deconstructing Wednesday’s rather dangerous piece of Adams misinformation (some redundancy there, admittedly). Adams thinks he has found something that shows vaccination against the mumps means you are more likely to get the mumps than if you forego the vaccine. He’s wrong,of course (as I will show below). All it shows is that Adams doesn't understand his own numbers.
First, check out Adams’s post, Mumps outbreak spreads among people who got vaccinated against mumps:
To hear the vaccine pushers say it, all the recent outbreaks of mumps and measles are caused by too few people seeking out vaccinations. It's all those "non-vaccinated people" who are a danger to society, they say, because they can spread disease.
Reality tells a different story, however: It is the vaccinated people who are causing these outbreaks and spreading disease!
Just this week, an outbreak of mumps among more than 1,000 people in New Jersey and New York has raised alarm among infectious disease authorities. The outbreak itself is not unusual, though. What's unusual is that the health authorities slipped up and admitted that most of the people infected with mumps had already been vaccinated against mumps.
In Ocean County, New Jersey, county spokeswoman Leslie Terjesen told CNN that 77 percent of those who caught mumps had already been vaccinated against mumps.
[Bold in original.]
What he is saying is that more vaccinated kids (77%) than non vaccinated, got the mumps, therefore you are more likely to get the mumps if you are vaccinated. He is wrong, because he is asking the wrong question. He is asking, “did more vaccinated kids get the mumps than non-vaccinated?” (Answer – yes. 77% v 23%.) The question he should be asking is, “if you are vaccinated, are you more or less likely to get the mumps?” A subtly different question. The answer to that question is “less” – you are less likely to get the mumps if you are vaccinated. In fact, if you are vaccinated you are one seventh as likely to get the disease, compared with the unvaccinated. As I will now demonstrate.
Adams is quoting this CNN report as the source for his “77%” New Jersey figure, so that’s what I will go with. From this CNN report, we know that:
The mumps outbreak also spread to Ocean County, New Jersey, where 159 confirmed cases have been diagnosed since September, county spokeswoman Leslie Terjesen told CNN.
[...]
Of the New Jersey cases, 77 percent were vaccinated, Terjesen said.
Now, if you look at this CDC table you will see that 96.1% of New Jersey kindergarten pupils are fully vaccinated against the mumps. I’ll round this down to 96%. That means, the number of vaccinated children is 24 times (96 divided by 4) the number of unvaccinated. Remember that figure.
Now consider this: if in New Jersey, 159 children got the mumps, and 77% of those were vaccinated, then that means that 122 (159 x 77%) vaccinated children got the mumps, while 37 unvaccinated children got the mumps. Hold those numbers too.
Suppose 1,270* children were exposed to the mumps. We know that 96% of these (on average) were vaccinated – that’s 1219 vaccinated children. 51 children (4%) were unvaccinated.
I’ll remind you again that 159 children in New Jersey were infected, and that 122 of these (the infamous 77%) were vaccinated. So, what is the answer to my question, if you are vaccinated, are you more or less likely to get the mumps? Some elementary arithmetic:
Vaccinated and got the mumps
122 / 1219 = 10%
Unvaccinated and got the mumps
37 / 51 = 73%
Answer – if your child is unvaccinated, he or she is seven times more likely to get the mumps.
So how do we explain the 77% figure? Easy: more vaccinated children got the mumps because there were more vaccinated children to start with. 24 times more as many, to be precise. If the vaccine were completely useless and offered zero protection against the mumps, we would expect 24 times the number of infected children to be vaccinated, compared with unvaccinated. (Since both groups would be infected equally, but the vaccinated group is 24 times larger.) The fact that we only get about three times (77/23) the number of vaccinated children with the disease, demonstrates how effective the vaccine actually is.
Ironically, the higher the vaccination rates, the higher is the proportion of vaccinated children out of the total who will get the disease. For example, suppose we have 100% vaccination rates. Obviously this would never happen in reality, but just suppose for argument's sake that the vaccination rate is 100%. Also suppose the vaccine is not 100% effective (which does reflect reality - the mumps vaccine is only about 90% effective). What percentage of infected children will be vaccinated? Obviously 100%, since there are zero unvaccinated children in our hypothetical. Now imagine instead that 0% of children are vaccinated. What percentage of infected children now will be vaccinated? Obviously 0%. So the higher the vaccination rates, the higher the proportion of vaccinated children out of the total who get the disease. Which is, of course irrelevant. The relevant fact is that with higher vaccination rates, fewer children overall will get the disease.
I’ve tried to show this in a table:
Group |
Total | % of Total | Infected | Group % of Infected | Infected % of Group |
Vaccinated |
1,219 | 96% | 122 |
77% | 10% |
Un-vaccinated |
51 | 4% | 37 |
23% | 73% |
Total |
1,270 | 100% | 159 |
100% |
Adams is looking at the percentage of each group (vaccinated v. unvaccinated) that are infected. This error is what causes him to write nonsense like this:
Vaccines may actually increase your risk of disease. Notice that far more vaccinated children were stricken with mumps than non-vaccinated children?
But, as I’ve shown, that’s irrelevant. The relevant information is the percentage in each group that will become infected. And seven times the number of unvaccinated children, compared with unvaccinated, get the mumps. While I understand that this 77% figure can be confusing for people who aren't used to thinking about these things, Mike Adams does this for a living and so he has no excuse. And it's not as if this is a new phenomenon - I remember discussing this exact same thing eight or nine years ago on the JREF forum. The answers have been out there for a while, so why does Mike Adams still promote these kinds of false conclusions?
(* I chose the 1,270 figure because according to the CDC the effectiveness of MMR against mumps is approximately 90% after two doses – which matches the calculated 10% infection rate with 1,270 children. The ratio (1:7) works out exactly the same though, no matter what number of children you assume.)
Adams is pathetically innumerate.
Posted by: Nemo | February 13, 2010 at 05:36 PM
I saw that e-mail too, and about broke my desk with my head when I did. Apparently, Mike is totally clueless about why we're concerned when people aren't vaccinated. It isn't because idiots and the unfortunate children of idiots will get sick, it's that real medicine--unlike the claims of woo-woo jackasses--isn't 100%. Different people have different degrees of response to a vaccine, and some don't have enough response to provide long-term immunity--not to mention all the people who can't be vaccinated for various reasons, like age or other health conditions.
But Mike Adams can't seem to understand that every person is somewhat different and that effective medicine should recognize individual differences in physiology and treat them accordingly. Or he claims to understand that, but is totally clueless as to what it actually entails.
Posted by: Tom Foss | February 13, 2010 at 08:50 PM
Tom,
I've noticed your fondness of the dash. Here's some keyboard shortcuts (for PC/Microsoft) you might like:
The em dash (—): Alt+0151
The en dash (–): Alt+0150
Hold down the Alt key while typing in e.g. 0151 on the numeric keypad with numlock enabled.
Posted by: Martin | February 14, 2010 at 03:53 AM
Just goes to show how numbers can be manipulated to convince the unaware of what is totally false.
Posted by: C Woods | February 14, 2010 at 05:17 AM
That is a very, very, very basic mathematical error.
And what about this?
I don't know much about this area, so I might be making a fundamental mistake as well, but are there placebo controlled studies, and if so, how did they get past the ethics committee — did they give kids placebos and then expose them to mumps????
And is it not true that the very numbers Mike Adams quotes actually support the CDC's claim? The support for the claims which Adams says is "purely imaginary" seems to be right there in front of his eyes.
(Thanks Martin for the em dash)
Posted by: yakaru | February 14, 2010 at 08:01 AM
Woos always fail math the hardest.
Posted by: Bronze Dog | February 14, 2010 at 09:36 AM
Remarkable,
I tweeted about this exact study a while ago becuase it is exactly the situation that medicine and skeptics have been warning about for years.
Someone unvaccinated goes to a country with a low vax rate (in this case it was england who is currently suffering from mass delusion about the safety and efficacy of MMR), returns home to infect a community.
this community had a low vax rate (around 77%) so there was a widespread infection. Exactly as warned about.
And Dorkranger, twists it this way. I just want to know, is he really this retarded or is this intetional?
Posted by: TechSkeptic | February 14, 2010 at 11:54 AM
Since we're being precise about the mathematics, let me make a correction on the terminology.
This is correct:
> the number of vaccinated children is 24 times (96 divided by 4) the number of unvaccinated.
This is not:
> there were more vaccinated children to start with. 24 times more, to be precise.
96 is 24 times 4. But 96 is 23 times *more than* 4.
Just as 3 is "twice more than" 1.
Thanks for the excellent exposition of innumeracy in the anti-evidence crowd!
Posted by: Ben Finney | February 14, 2010 at 05:16 PM
In statistics, the minimum size of a sample is determined by multiplying the proportion evaluated, and the remaining proportion times the size of the sample. Both products should at least be greater than 5.
n=size of sample (40)
p=studied proportion (percentage vaccinated)
q= remaining proportion (percentage unvaccinated)
40 x 0.96= 38.4
40 x 0.04= 1.6
since nq<5 the sample is too small therefore inapropiate.
We cannot conclude anything with this particular study.
And even if the sample was large enough, it still has to be tested. When a hypothesis passes a test, it is labeled "statistically significant". Mr Adams lacks basic statistical knowledge, and it is obvious he made this claim without even testing it. I am new to the a-vax hysteria issue but I will infer that making untested claims is nothing new for Mr Adams.
Posted by: Nico | February 15, 2010 at 05:59 PM
A couple of points:
1) Nico: FYI in an edit to the post Sunday am, I changed the total numbers in my example to 159 infected children, to match the numbers in the CNN report that Adams was quoting. I had taken the 40 figure in the original post from an earlier report I found, but on Sunday I decided I should use Adams’s actual source, to be fair to him, so I edited the post. Of course, it made no difference to the 1:7 ratio.
2) On Sunday morning I left this comment on Mike Adam’s post:
I just noticed (Mon evening) that he had deleted it. Typical woo – can’t stand anyone disagreeing with him, can’t refute the points I made, runs and hides. Well, we know for sure now that he knows the rebuttal to his silly story, and we know that he can’t rebut anything I wrote. No excuses then Mike Adams – we know for sure now you’re not interested in the truth. Just as long as you continue to sell your quack products, eh Mike?
Posted by: Skeptico | February 15, 2010 at 10:15 PM
so simple
Posted by: Shanghaisigrid | February 16, 2010 at 09:32 AM
Sorry for misquoting I read the post on Saturday, but could not comment until Monday. As you can guess I did not reread the article. The analysis is therefore, statistically valid.
Posted by: Nico | February 16, 2010 at 05:23 PM
In other words, Mike Adams doesn't understand Bayes' rule. That would be attributable to simple ignorance - but the fact that he deleted your comment pointing out his error can only be explained as a deliberate desire to lie about the facts.
Posted by: Ebonmuse | February 16, 2010 at 06:38 PM
So Mike Adams doesn't understand relative risk? I'm shocked, I tell you.
Basically, if the MMR rejection rate were 23%, then the figures would mean that vaccinated and unvaccinated children are equally likely to get the mumps. But it just so happens that MMR coverage is not that poor in the US. A full 23% of mumps-infected children being unvaccinated is a big number.
I'm sure Mike Adams also fails to see that this means herd immunity is important.
Posted by: Joseph | February 17, 2010 at 12:27 PM
hello, I just stumbled upon something worth reading about this subject, of all the places,
on cracked.com , maybe you've already read it
or maybe it's redundant because this kind of
stuff has been said all around this site for
ages (but woos still don't pay attention),
but since I agree and it describes perfectly
the situation, here I copy and paste the
interesting paragraph:
"When it comes to matters of fact, however, they absolutely do not have that duty.
[that's about the press 'presenting both sides' of something].
Particularly when it comes to technical or scientific matters where it takes somebody with training to speak knowledgably on the subject.
If we're talking about if, say, vaccines cause autism, we need to hear from scientists. That's a scientific issue. We do not need to hear from Jenny McCarthy or Jim fucking Carrey, in the name of giving "both sides." Jim and Jenny don't get a side. They have no background in the subject, and it's one that requires fucking background.
Sure, they can talk about poisonous vaccines to Oprah or whoever is sitting next to them at the Lakers game all they want. They have freedom of speech. That freedom does not guarantee them a seat on a panel of experts.
[I don't agree about the Oprah part since
it could be dangerous if she presents woo
as fact and people believe it,
and it has happened before]
Yet, this kind of stupidity happens constantly. You get articles like this one from the Toronto Star, explaining how an investigation revealed how World Trade Center building 7 collapsed:
Scientists with the National Institute of Standards and Technology say their three-year investigation of the collapse determined the demise of WTC 7 was the first time in the world a fire caused the total failure of a modern skyscraper.
The organization they mentioned, the NIST, studies how buildings collapse so that they can make sure future buildings don't collapse. But instead of going into further detail on their extensive investigation, we get this:
Mike Berger of the group 9/11 Truth said he wasn't buying the government's explanation. "Their explanation simply isn't sufficient. We're being lied to," he said. Ah, yes, the conspiracy nut. Again, we would never deny a crazy person the right to be crazy.
They just shouldn't get a voice equal to that of hundreds of highly-trained experts. It can't be done that way. After all, there is a contingent of conspiracy kooks drifting around every subject. You don't stop every story about AIDS in Africa to hear from the John Bircher who thinks AIDS is a secret government population control project spread by fluoridated water.
But we can't just disregard their opinions, can we? Yes. Yes we can. If you're going to weigh in on a scientific matter, you need to bring data, gathered by people who know what the fuck they're talking about. If the subject is medicinal marijuana, we're not going to quote a stoner who has suddenly realized his hands can talk."
well, that was the interesting part,
bye!
Posted by: Pelger | February 20, 2010 at 01:54 AM
I just read Mike Adams' blog and it is just scary how many nature
freakslovers are preaching that:Posted by: Nico | February 20, 2010 at 09:46 AM
Which is not true. I caught mumps twice, and I could possibly catch it again. There are some of us who never become fully protected.
Which is why we depend on herd immunity.
Adams is an idiot.
Posted by: Chris | February 20, 2010 at 10:56 AM
a large factor would be the percentage of people vaccinated in the area.
Why is it so hard to believe that vaccinations are toxic?
Wouldn't it be wise to be skeptical about vaccinations as well as anything else?
do you know what's in a vaccine?
doesn't it make sense the human body and
it's immune system is capable of handling anything imaginable when kept in a healthy state and to rely on synthetic cocktail shots for immunity is absomurd?
Posted by: PappyPants | February 23, 2010 at 12:38 AM
Wouldn't it be wise to be skeptical about vaccinations as well as anything else?
Skepticism isn't a permanent state of doubt. If you read around a bit you will see statements like for example, "The flu vaccine is not a great vaccine, as vaccines go, but it does have efficacy, and clear benefit in excess of risk." (FromSteve Novella)
(Feel free to post comparable statements from woo "doctors" weighing up the costs and benefits or comparitive efficacy of one particular "treatment" compared with another. Can't find one? Didn't think so.)
Woos always expect scientists or skeptics to throw out decades or centuries' worth of research for each new treatment - which of course brings it to the same stand as the "alternative" approach they are selling.
Posted by: yakaru | February 23, 2010 at 01:21 AM
doesn't it make sense the human body and
it's immune system is capable of handling anything imaginable when kept in a healthy stat
I hear this over and over again. So, you are saying that out of the 300 babies in the US that died from H1N1, they all had their immune system compromised? Perhaps you can show us where you got that data. you are saying that all of the 4000 people who died, mostly comprised of people under 65, all of them were immunocompromised? Perhaps you can link us to the statistics of medical records that sort that out.
Ebola doesnt care how healthy you are when it takes you down. Neither does Tetanus. And neither does the flu. you can't control other factors that may contribute to your health when you are sick (like having to go to the hospital and then getting MRSA), so you are better off teaching your immune system how to repel these things up front.
You are confusing non-life threatening communicable diseases (like the cold, which people get when they are perfectly healthy) with deadly ones.
Everyone here does in fact know what is in vaccines. Do you? Have you actually sorted out why the medical profession thinks squalene and other adjuvants are OK or do you just listen to hysteria? Have you figured on that there is not in fact aborted babies and antifreeze in vaccines, or have you just bought into whatever someone who heard it from someone told you?
Posted by: TechSkeptic | February 23, 2010 at 07:15 AM
Pappypants said "Why is it so hard to believe that vaccinations are toxic?"
Because there is no credible evidence. All you have to do is show us that the MMR is worse than measles, mumps and rubella with real evidence. Not links to silly sites like whale.to or Natural News, but actual science.
Can you do that?
Posted by: Chris | February 23, 2010 at 09:10 AM
How can mumps, measles, and rubella be dangerous? I had all these diseases and i'm still alive. And so did my husband, my parents, and my siblings. It's so easy to see that someone is making billions of dollars out of this!
Posted by: Rachelle | October 06, 2010 at 07:27 PM
Rachelle, you are not the template for all of humankind. Some people DIE from those diseases. Others are permanently blinded, deafened, or brain damaged by them. It's a minority, but the more people infected by those diseases, the larger that group will be.
Posted by: Bronze Dog | October 06, 2010 at 09:13 PM
Rachelle, because the people who were permanently disabled or died from measles, mumps and rubella aren't exactly around for you to see them.
Except for the about half dozen young people who became permanently deaf due to the mumps outbreak in 2006, along with the several young men who had orchitis (which may have caused them to be infertile).
Then there are those over 120 Americans who died during the measles outbreak between 1989 and 1991. They aren't exactly around to sit at a computer keyboard telling you how measles really felt.
Sitting next to me is a new book I am anxious to start (though I have a library book I have to finish first). It is Dangerous Pregnancies by Leslie J. Reagan. It is about the rubella epidemic in the early 1960s caused several stillbirths and a large number of disabled children. It is about how society changed in regards to abortion, "wrongful birth" (some doctors lied to women on whether they had been exposed to rubella, so they gave birth to severely disabled children) and disability rights.
Who is exactly making "billions of dollars" from what? Do you seriously believe that it is more cost effective to treat the one in five hundred cases of measles that need hospital care than to prevent the diseases with a vaccine? Or that it is better to bury one in a thousand than to vaccinate? Seriously, what planet do you live on?
Posted by: Chris | October 07, 2010 at 09:12 AM