The
CONFIDENCE() function returns a value that
togehter with the mean of a poulation can
be used to find the confidence
interval of a range of data values..
The syntax for the function
is CONFIDENCE (alpha,
standard_dev, size ).
The arguments "alpha","standard_dev"
and "size" can
be a numbers,
or referenced cells or a named
range.
However referenced cells that do not
contain values or that cannot be converted
to numeric values such as text, logical
values return a #VALUE error.
Note: Values
in the
"alpha" argument
must be between 0 and 1 otherwise the
function will return a #NUM error. If
the "standard_dev"
value is less than or equal to 0 or the
argument "size"
is less than 1 the function will return
a #NUM error value.
The CONFIDENCE function
is used to calculate an estimeated range
of values which are likely to include an
unknown population parameter (data point).
This is done by setting a significance
value "alpha" (which
gives the desired level of confidence)
entering the known standard deviation of
a population "standard_dev" and
the the number of data points in the population
sample
"size".
Note: Confidence
value = 100*(1-alpha)% where the value
alpha is the significance level. For example
an alpha of 0.03 gives a 97% confidence
level.
With these values the CONFIDENCE function
then calcualtes the confidence range above
and below the mean population value.
For example: CONFIDENCE(0.05,
2.5, 50) = 0.692952
The confidence interval
is the mean plus or minus this result.
ie. 30 ± 0.692952
It is this confidence interval between
approximately 29.3 and 30.7 that we can
be 95% confident that any samples taken
from the population will have a mean value
of 30 and conversely a sample taken that
has a mean value larger than 30.7 or smaller
than 29.3 has only a 5% chance of occuring.
How
to use the CONFIDENCE() function:
Type " =CONFIDENCE( "
Enter
the coordinate of the "Significance
value" data cell "A2"
Type a comma.
Enter
the coordinate of the "Standard
deviation" data
cell "B2".
Type a comma.
Enter
the coordinate of the "Population
size" data cell "C2".