what does this mean in random sampling Watch

Iconic_panda
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'A simple random sample of size n consists aberrations X1 and X2...
have the same distribution as the population' i don't really get the second part where it says same distribution as population
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Prasiortle
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(Original post by Iconic_panda)
'A simple random sample of size n consists aberrations X1 and X2...
have the same distribution as the population' i don't really get the second part where it says same distribution as population
Please post the exact quote, as what you wrote is not really coherent. I can't find any references to "abberations" from simple random sampling. Also "consists aberrations" is in any case not proper grammar.
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Iconic_panda
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okay it goes something like this.
'a simple random sample of size n consists of the observations X1, X2...,Xn from a population where Xi
are independent random variables
have the same distribution as the population.'

this is word by word so I don't know what last line is saying
(Original post by Prasiortle)
Please post the exact quote, as what you wrote is not really coherent. I can't find any references to "abberations" from simple random sampling. Also "consists aberrations" is in any case not proper grammar.
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Prasiortle
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(Original post by Iconic_panda)
okay it goes something like this.
'a simple random sample of size n consists of the observations X1, X2...,Xn from a population where Xi
are independent random variables
have the same distribution as the population.'

this is word by word so I don't know what last line is saying
The point is just that the distribution of each X_i is the same as the distribution of the population. Do you not understand what a distribution is?
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Iconic_panda
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yeah i thought distribution is all the possible outcomes, is that correct? and therefore the sampling statistics can represent population parameter?
(Original post by Prasiortle)
The point is just that the distribution of each X_i is the same as the distribution of the population. Do you not understand what a distribution is?
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TaintedLight
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The sentence doesn't look complete or the context is still indiscernible from that one sentence.

As long as you appreciate that the larger the sample space is the more accurate it will resemble the population... you should be good.
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