Normal Distribution
for Quantile-Quantile Plots Normal Distribution
for Quantile-Quantile PlotsThe Normal distribution function is determined by the following formula:
f(x) = [1/{(2p)1/2 * s}] * e^[-1/2*{(x-m)/s}2]
-∞ < x < ∞
where
|
m |
is the mean |
|
s |
is the standard deviation |
|
e |
is the base of the natural logarithm, sometimes called Euler's e (2.71...) |
|
p |
is the constant Pi (3.14...) |
The standardized normal distribution function is used to determine the best fitting distribution.
In general, if the points in the Q-Q plot form a straight line, then the respective family of distributions (Normal distribution) provides a good fit to the data; in that case, the intercept and slope of the fitted line can be interpreted as graphical estimates of the mean (m) and standard deviation (s) parameters, respectively.