The
FDIST() function calculates
a F probability distribution describing
the variance of two data samples.
The syntax for the function
is FDIST (x, degrees_freedom1,
degrees_freedom2).
The
arguments "x, degress_feeedom1,
degrees_freedom2" must be
numerical values toherwize the function
will return the #VALUE error value. In
addition if if the "x" value
is negative the function will return a
#NUM error value.
The "x" argument
is the value that FDIST is to be evaluated
for, with the terms "degrees_freedom1"
and "degrees_freedom2"
the numerator and in the statistical function
that forms the distribution. The degree
of freedom of a variable relates the number
of it's known variables to the number of
unknown variables. The higher the degree
of freedom the greater the probable variance
in the resuiting sample value.
The
FDIST function compiles a probability
distribution by using the degree_freedom
1 and degreefreedom2 and them finds
the probability of a specific value
occuring "x" on the probability
distribution curve returning a single
value.
The
probability density of the x value is
the probability that the number x has
the same variance as another number in
a dstribution.
The
exact shape of the probabiliuty distribution
depends on the value and the relative
values of the degrees of freedom arguments.
The shape of the probability in turn
defines the probability density value
for any given argument "x". The
return value for the FDIST function is
found by placing x on the probability distribution
and finding the corrosponding probability
density value.
[chart]
A 1/1 ratio in the degrees of freedom yield a sharp
probability distribution with little variance idicating
that there can be little chance of difference between
values in two population distributions.
[chart]
A 1/10 ratio in the degrees of freedom flatterns
and shifts the probability distribution towards higher
x values.
[chart]
A
10/10 ratio in the degrees of freedom
shifts the probability towards the right
and widens the distribution but still
maintains a high peaked probability distribution.
Each of these distributions describe
the probability of two populations of
data with specified relative degrees
of freedom
having the same x value in a distribution.
This makes the FDIST function an excellent
tool for comparing the variability of
two data distributions and conclude weather
the differences are significant. For
eample: Determining weather the variablity
between test scores of weomen and men
entering university is different or weather
the variation is within the limits of
expected random fluctuations.
To
learn more about F Distribution in statistics
see: [The F Distribution Mathematics Knowledgebase]
[The CHIDIST function knowledgebase]
How
to use the FDIST() function:
Type " =FDIST( "
Enter
the reference for the "x" data
value "A5".
Type a comma.
Enter
the refernce for the "degrees_freedom1" data
cell "A2".
Type a comma.
Enter
the reference for the "degrees_freedom2" data
cell "B2".
Type")"
then press the "Enter" key.
Note:Arguments
that are text that cannot be translated
into numerical values or that contain errors
will cause the function to return an error
value.
How
to use the FDIST() function
to create a F distribution
chart:
Type " =FDIST( "
Enter
the reference for the "x" data
value "A5".
Type a comma.
Enter
the refernce for the "degrees_freedom1" data
cell "A2".
Type a comma.
Enter
the reference for the "degrees_freedom2" data
cell "B2".
Type")"
then press the "Enter" key.
Select
the cells "A5:A15".
Press
the "F2" key
then hold down "Ctrl" and
"Shift"
and press the "Enter"
key.
Note:If
the "degrees_freedom1" value
is less than one and the "degrees_freedom2"
value is more than 10 billion or if
the "degrees_freedom2" is
less than one and the "degrees_freedom1" is
more than a billion the FDIST function
will return the #NUM error value as
it cannot calcualate the proability
distribution to that level of detail.