It looks like there's a mistake in panel two. It probably should read without the word 'green', or else it sort of contradicts the panel with the "Whoa." Threw me off for a little bit as to what the joke was.
Actually, to be nitpicky, shouldn't it read "(P < .05)" in each case? You reject the null when the p-value is LESS than significance level you were looking for, I thought...
I wonder if this takes the prize for most panels in an XKCD comic (I know there have been comics larger than this, but I am refering specifically to the number of panels)
Yay! Color!
"As the size of an Explosion increses the number of social situations it is incapable of resolving approches zero" -vaarsuvius, The order of the Stick
Spoiler:
ethereal_fire wrote:madock345, I like your sig : )
Qwerty.55 wrote:I like your new recursive sig even better than before.
josiahstevenson wrote:Actually, to be nitpicky, shouldn't it read "(P < .05)" in each case? You reject the null when the p-value is LESS than significance level you were looking for, I thought...
Right, so when p > 0.05, they don't reject the null hypothesis... thus "we found no link". The one panel where they do find a link does read "(p < 0.05)".
While no one overhear you quickly tell me not cow cow. but how about watch phone?
josiahstevenson wrote:Actually, to be nitpicky, shouldn't it read "(P < .05)" in each case? You reject the null when the p-value is LESS than significance level you were looking for, I thought...
Right, so when p > 0.05, they don't reject the null hypothesis... thus "we found no link". The one panel where they do find a link does read "(p < 0.05)".
In a (statistically?) significant number of cases, a good way to think of the null hypothesis is the "status quo" and the alternative as the "research" hypothesis. I tend to think of the p-value as "the probability that this variation occurred randomly as apposed to an unknown outside force" It's also the reason we "fail to reject" the null hypothesis instead of "accepting" the alternative hypothesis, similar to the "correlation does not imply causation" line.
Say it with me kids: "The p-value represents the likelihood of the evidence given the null hypothesis, not the likelihood of the null hypothesis given the evidence." If you know, understand, and live that sentence, then you understand statistics better than most journalists and some scientists.
Coffee Stain wrote:It looks like there's a mistake in panel two. It probably should read without the word 'green', or else it sort of contradicts the panel with the "Whoa." Threw me off for a little bit as to what the joke was.
WHOA... you are using the worlds most ubiquitous coffee stain as your avatar!! It threw me off your comment a little bit.
But you're right. I wonder if he'll change it.
http://www.goodreads.com/book/show/13451873-unselected Read My Book. Cost less than coffee.
I love the idea behind this comic, with the 1/20 confidence and exactly 20 color tests with one different result.
But I really hate that the panel two broke the whole thing for me by including the word "green" when it obviously shouldn't have. At first I actually had no idea what the point was because panel two threw a curve ball at me. It took me a while to realize that was just a mistake.
Unfortunately, this is exactly how many scientists (not all, luckily, but too many) do statistics. They really do tests on dozens of variables at once, with several different statistical tests, and then publish the ones that are interesting.
For a single experiment you should always divide your allowed margin of error by the number of variables you are testing for. So if you test n different colours of jelly beans, you must require p < 0.05/n before considering a result statistically significant. But this is often ignored.
It's one of those irregular verbs, isn't it? I have an independent mind, you are an eccentric, he is round the twist - Bernard Woolley in Yes, Prime Minister
Diadem wrote:For a single experiment you should always divide your allowed margin of error by the number of variables you are testing for. So if you test n different colours of jelly beans, you must require p < 0.05/n before considering a result statistically significant. But this is often ignored.
You're recommending a Bonferroni adjustment in every situation? There are lots of cases where you can get away with something a lot less conservative. Even in the most general case you could at least use Holm's method which is slightly better than Bonferroni.
Plus it's not always the case that you care about controlling the family wise error rate. You might be more interested in controlling the false discovery rate in which case you'd be looking at a different set of methods for adjusting your p-values.
See, what they should have done this is run a single factor ANOVA with the colors as the levels and then performed a Tukey MCP to determine which of the levels were significantly different from each other... Or would that have helped? Maybe I'm thinking of this the wrong way.
Diadem wrote:For a single experiment you should always divide your allowed margin of error by the number of variables you are testing for. So if you test n different colours of jelly beans, you must require p < 0.05/n before considering a result statistically significant. But this is often ignored.
Or you do your initial experiment merely to look for possible correlations that warrant further study. Then when you've identified a variable to investigate, you do an entirely new experiment, ignoring the earlier data entirely, and you only publish the results of the second experiment.
madock345 wrote:I wonder if this takes the prize for most panels in an XKCD comic (I know there have been comics larger than this, but I am refering specifically to the number of panels)
Would have helped me a lot when I took stats in second year. I COULD DO ALL THE BLOOODY MATH. but I got that stupid little p-value and couldn't remember for the life of me if it was p > 0.05 or p < 0.05 that meant the data showed a significant link. So I could get the number just didn't know what it meant. :'( BUT ALL THE STUPID QUESTIONS WERE MULTIPLE CHOICE :'( ... managed to get a 58 in th course still though. Soooo iritating cause I know how to do it all just it was just the yes or no bit that I failed to retain. ANYWAY If I'd had this I would have had no problem at all this comic could have saved my life! er... mark...
phlip wrote:
josiahstevenson wrote:Actually, to be nitpicky, shouldn't it read "(P < .05)" in each case? You reject the null when the p-value is LESS than significance level you were looking for, I thought...
Right, so when p > 0.05, they don't reject the null hypothesis... thus "we found no link". The one panel where they do find a link does read "(p < 0.05)".
SEE!!! THIS IS WHY I COULDN'T REMEMBER WHAT BLOODY WAY IT WENT. I needed some one to say < = Good, > = Bad. All this rejecting the null hypothesis explaination just became a scrambled jumble in my brain and left me very confused and not sure which way things went.
also, now I REALLY need to try minecraft.
Last edited by ethereal_fire on Wed Apr 06, 2011 5:44 am UTC, edited 1 time in total.
Be precise. Be creative. Be courageous. Be shameless. Be GISHWHES.
This is amazing. I'm going to go cut a sliver off a green jelly bean and dissolve it in a 55 gallon drum of water. Who wants to buy my new miracle acne medicine?? It is guaranteed to work 95% better than the leading acne medication by SCIENCE!!!!!!!!!
Those whom God loves, he must make beautiful, and a beautiful character must, in some way, suffer. -Tailsteak author of the Webcomics 1/0 and Leftover Soup
madock345 wrote:I wonder if this takes the prize for most panels in an XKCD comic (I know there have been comics larger than this, but I am refering specifically to the number of panels)
jakerman999 wrote:There are also two panels with yellow(which have the same result, not the contradicting big green/little green scenario).
Quick, someone search for secret codes!
Decipherization:
1: Number of letters in the color listed in each panel = n
EDIT: Either 2a)
Take the nth letter of of the nth word in that panel wrapping around from the front of the word if necessary
EDIT: or 2b) Forget what step 2 is because you should be asleep and take the panelnumber-3th letter of the nth word [I remember taking the 20th letter of orange for the last r...at what point in the series did I screw up?]
(EDIT: The right combination of this) results in "penklndeelonkeebetwr" which anagrams to "blender week ken lepton"
Thus: Soon in the future there will be a "blender week" series featuring a guy named Ken attempting to blend leptons [possible WIB? reference?] despite the inherent nature of leptons to not be very interactive [low blendability]
Last edited by deskjethp on Wed Apr 06, 2011 6:12 am UTC, edited 1 time in total.
arbivark wrote:when i was first a tenant at 19, i was probably a nuisance .. a bother, to the landlord because i'd do stuff like, hey there's a fireplace here, get me a hammer, hey if i make a hole in my ceiling there's an attic that runs the length of the rowhouses.
Diadem wrote:Unfortunately, this is exactly how many scientists (not all, luckily, but too many) do statistics. They really do tests on dozens of variables at once, with several different statistical tests, and then publish the ones that are interesting.
For a single experiment you should always divide your allowed margin of error by the number of variables you are testing for. So if you test n different colours of jelly beans, you must require p < 0.05/n before considering a result statistically significant. But this is often ignored.
I believe you use the F-test when you have multiple variables.
Also, does anyone know if N=20 and P=1/20 is enough to use Poisson approximation?