Difference between revisions of "Documentation/How Tos/Calc: CONFIDENCE function"

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: returns approximately 0.438. With a 95% confidence level, the mean of the entire population lies within ±0.438 of the sample mean.
 
: returns approximately 0.438. With a 95% confidence level, the mean of the entire population lies within ±0.438 of the sample mean.
  
{{Documentation/SeeAlso|
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* [[Documentation/How_Tos/Calc: NORMDIST function|NORMDIST]]
 
* [[Documentation/How_Tos/Calc: NORMDIST function|NORMDIST]]
 
* [[Documentation/How_Tos/Calc: NORMINV function|NORMINV]]
 
* [[Documentation/How_Tos/Calc: NORMINV function|NORMINV]]

Revision as of 09:17, 17 July 2018

CALC FUNCTIONS
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CONFIDENCE

Returns a confidence interval.

Syntax:

CONFIDENCE(α; sd; size)

sd (> 0) is the (known) standard deviation of a normal distribution.
size is the size of a sample from that distribution.
α is the significance level (0 < α < 1), which determines the desired confidence level = (1 - α)*100%. Thus for example α = 0.05 gives a 95% confidence level.
CONFIDENCE returns a value that when added and subtracted from the sample mean gives an interval within which the population mean is expected to lie with the specified confidence level.
CONFIDENCE calculates NORMINV(1 - α/2; 0; 1) * sd / √(size)

Example:

CONFIDENCE(0.05;1;20)

returns approximately 0.438. With a 95% confidence level, the mean of the entire population lies within ±0.438 of the sample mean.



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