The University of UtahDepartment of Chemical Engineering

Chemical Engineering, University of Utah

 

Javascript Functions../../

Tony Butterfield

 

This page shows the results of various javascript functions used in statistical calculations on this site. Keep in mind that, in most instances, approximations were used to speed up calculations and accommodate the limitations of javascript. The accuracies of these algorithms are only meant to be sufficient for teaching purposes. Take the results with a grain of salt and use significant figures conservatively.

Miscellaneous Functions:

 

Erf(x)

x:
f(x):
o
e
r
f		1
-1
-33
x

 

Gamma(x)

x:
f(x):
o
g
a
m		10
0
0.015
x

 

Incomplete Gamma(v;x)

x:
v:
f(x):
o
g
a
m
i		1
0
05
x

 

Beta(x,y)

x:
y:
f(x):
o
b
e
t
a		5
0
0.015
x

 

Incomplete Beta(x,a,b)

x:
a:
b:
f(x):
o
b
e
t
a		1
0
01
x

 

Probability Density Functions:

 

Normal PDF

x:
mean:
stdev:
f(x):
o
p
d
f		0.5
0
-55
x

 

Log-Normal PDF

x:
mean:
stdev:
f(x):
o
p
d
f		1
0
0.018
x

 

Exponential PDF

x:
Gam:
f(x):
o
p
d
f		2
0
05
x

 

Student-t PDF

x:
v:
f(x):
o
p
d
f		0.5
0
-55
x

 

Chi-Square PDF

x:
v:
f(x):
o
p
d
f		0.5
0
0.017
x

 

F PDF

x:
v1:
v2:
f(x):
o
p
d
f		1
0
0.017
x

 

Maxwell PDF

x:
a:
f(x):
o
p
d
f		1
0
07
x

 

Cumulative Distribution Functions:

 

Normal CDF

x:
mean:
stdev:
f(x):
o
c
d
f		1
0
-55
x

 

Log-Normal CDF

x:
mean:
stdev:
f(x):
o
c
d
f		1
0
08
x

 

Exponential CDF

x:
Gam:
f(x):
o
c
d
f		1
0
05
x

 

Student-t CDF

x:
v:
f(x):
o
c
d
f		1
0
-55
x

 

Chi-Squared CDF

x:
v:
f(x):
o
c
d
f		1
0
07
x

 

F CDF

x:
v1:
v2:
f(x):
o
c
d
f		1
0
0.017
x

 

Maxwell CDF

x:
a:
f(x):
o
c
d
f		1
0
0.17
x

 

Anderson-Darling CDF

x:
f(x):
o
c
d
f		1
0
02
x