Hi,
suppose you collect data from an experiment and calculate P_i of event i.
you repeat the experiment and again determine the probability of event i .
(can not change the size of sampling in each experiment. so, suppose every time we have 100 samples)
my question is, what can i say about probability of "event i" in overall experiment?
suppose you collect data from an experiment and calculate P_i of event i.
you repeat the experiment and again determine the probability of event i .
(can not change the size of sampling in each experiment. so, suppose every time we have 100 samples)
my question is, what can i say about probability of "event i" in overall experiment?
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P_i is not the probability of event i. It is the estimate of the probability.
If you have more than one experiment, say m experiments with the following data:
for experiment 1 you get (E1,n1) with P_i = E1/n1, for experiment 2 you get E2/n2 ...etc
Then, the overall estimate P_i = (E1 +E2 +...+ Em)/n1+n2+...nm).
So, as you see, you may have different sample sizes for the various experiments.
If you have more than one experiment, say m experiments with the following data:
for experiment 1 you get (E1,n1) with P_i = E1/n1, for experiment 2 you get E2/n2 ...etc
Then, the overall estimate P_i = (E1 +E2 +...+ Em)/n1+n2+...nm).
So, as you see, you may have different sample sizes for the various experiments.