Did anyone catch Horizon on Tuesday?
There was an interesting psychiatric test. Imagine you have two jar, one containing 80 red balls and 20 blue balls, the other containing 20 red balls and 80 blue balls. In the test you are presented with balls having been taken at random from one of the two jars* [i.e. if its the majority blue jar, balls will continue to be taken from this jar, with each being selected at random], and apparently the point at which you make your decision on which jar the balls are from is indicative of some mental conditions.
Now, suppose this is a fair test, and lets simplfy by imagining an infinite number of balls (so we don't have to deal with changing probabilities), as a friends list of mainly scientists, engineers and mathematicians, at what point should we be confident in our choice of jar?
( Bayesian Stuff )
* Yes, I watched the show, but some people didn't and I wouldn't want to spoil the test for them.
There was an interesting psychiatric test. Imagine you have two jar, one containing 80 red balls and 20 blue balls, the other containing 20 red balls and 80 blue balls. In the test you are presented with balls having been taken at random from one of the two jars* [i.e. if its the majority blue jar, balls will continue to be taken from this jar, with each being selected at random], and apparently the point at which you make your decision on which jar the balls are from is indicative of some mental conditions.
Now, suppose this is a fair test, and lets simplfy by imagining an infinite number of balls (so we don't have to deal with changing probabilities), as a friends list of mainly scientists, engineers and mathematicians, at what point should we be confident in our choice of jar?
( Bayesian Stuff )
* Yes, I watched the show, but some people didn't and I wouldn't want to spoil the test for them.
