Standard Error Formulas

# Standard Error Formulas - either"0"zero...

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Standard Error Formulas: Standard Errors of Some Common Random Variables The SE of the sample sum of n independent draws from a box of tickets labeled with numbers is n ½ ×SD(box). The SE of the sample mean of n independent draws from a box of tickets labeled with numbers is n × SD(box). The SE of the sample sum of a simple random sample of size n from a box of tickets labeled with numbers is ( ( N - n )/( N -1) ) ½ × n ½ ×SD(box). The SE of the sample mean of a simple random sample of size n from a box of tickets labeled with numbers is ( N - n ) ½ /( N -1) ½ × n × SD(box). The SE of the sample percentage of a simple random sample of size n from a box of tickets, each labeled
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Unformatted text preview: either "0"zero or "1" is ( ( N-n )/( N-1) ) ½ × ( p × (1-p ) ) ½ / n ½ . The SE of a random variable with the binomial distribution with parameters n and p is n ½ × ( p ×(1-p ) ) ½ . The SE of a random variable with the hypergeometric distribution with parameters N , G , and n is ( N-n ) ½ /( N-1) ½ × n ½ × ( G / N × (1- G / N ) ) ½ . The SE of a random variable with the geometric distribution with parameter p is (1-p ) ½ / p . The SE of a random variable with the negative binomial distribution with parameters r and p is r ½ (1-p ) ½ / p ....
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