Margin of Error
المؤلف:
Moore, D. S. and McCabe G. P
المصدر:
Introduction to the Practice of Statistics. New York: W. H. Freeman
الجزء والصفحة:
p. 443
13-2-2021
1591
Margin of Error
The margin of error is an estimate of a confidence interval for a given measurement, result, etc. and is frequently cited in statistics.
While phrases such as, "The poll has a margin of error of plus or minus 3.1 percentage points" are commonly heard, an additional qualification such as "at a 95 percent confidence level" is also needed in order to precisely indicate what the error refers to.
For a given confidence interval 
, standard deviation 
, and sample size 
, the margin of error (for a normal distribution) is
where 
is the inverse erf function.
REFERENCES:
Moore, D. S. and McCabe G. P. Introduction to the Practice of Statistics. New York: W. H. Freeman, p. 443, 1999.
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