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Probability or statistical expected average: How to determine a success or failure

 
 
CBUC
 
Reply Fri 21 Sep, 2012 04:29 am
Hey,
(I am a NOOB in statistics)
I am trying to determine whether my experiment results indicate a success or just turns out as it would have without my independent variable.
40 participants where given the task to pick the 1 right object out of 5 objects. (Subliminal stimuli with the correct object was primed = independent variable)
The chances to do it randomly in:
1. attempt: 1/5
2. attempt: 1/4
3. attempt: 1/3
4. attempt: 1/2
5. attempt: 1/1
Here it could be argued that a correct pick in the 3. attempt is a success??
BUT! : Before conducting the experiment, I ran 10.000 simulations in a program that was set to pick a random number out of 5 and count the attempts. The average number of attempts turned out to be 3 which also is the average in my experiment.
Looking at it from this angle 3 is no longer successful, because it was somehow expected.
Which approach is most correct one to use, for determining an effect or no effect?
There might be a very clear and logic answers to this that have been posted and explained for ages, but i don’t know what to search for. So please be nice!
Thanks in advance!
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markr
 
  1  
Reply Fri 21 Sep, 2012 09:35 am
@CBUC,
Your probabilities for random guessing are wrong.
first attempt: 1/5
second attempt: 4/5 * 1/4 = 1/5
third attempt: 4/5 * 3/4 * 1/3 = 1/5
fourth attempt: 4/5 * 3/4 * 2/3 * 1/2 = 1/5
fifth attempt: 4/5 * 3/4 * 2/3 * 1/2 * 1 = 1/5

The expected number of attempts is:
1/5 * 1 + 1/5 * 2 + 1/5 * 3 + 1/5 * 4 + 1/5 * 5 = 3




CBUC
 
  1  
Reply Mon 24 Sep, 2012 02:32 am
@markr,
thanks thats interesting
can you explain abit more on the method you use?
markr
 
  1  
Reply Mon 24 Sep, 2012 09:39 am
@CBUC,
The probability of success requiring n attempts equals the probability of failure on attempts 1 through n-1 times the probability of success on attempt n.

One way to check your work is to sum the probabilities. The sum must equal 1.
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