| Usage: |
{A2,accept}=anddar(data,distribution,par1,par2{,alpha{,opt}})
|
| Input: |
| data | n x 1 vector, data
|
| distribution | string, distribution of hypothesis H0:
"normal" for a normal distribution
"exponential" for an exponential distribution
"uniform" for a uniform distribution
|
| par1 | scalar or NaN, first parameter of the distribution
under H0, representing the mean mu for "normal", the
mean gamma for "exponential" and the lower boundary
a for "uniform"
|
| par2 | scalar or NaN, second parameter of the distribution
under H0, representing the variance sigma2 for "normal",
nothing (NaN) for "exponential" since it has only one parameter
and the upper boundary b for "uniform"
|
| alpha | (optional) scalar, critical level of the test, possible
values are 0.1,0.05,0.025,0.01;
if alpha is not given, 0.05 will be set as a default;
if not equal to the possible values, the closest of them is used
|
| opt | (optional) string, possible options are:
"notext" (no text output is generated),
"text" (text output is generated); default value is "text"
|
- Example:
library("stats")
randomize(6)
results=anddar(normal(100),"normal",0,1,0.15)
- Result:
Contents of _tmp
[ 1,] "===================================================== "
[ 2,] "ANDERSON - DARLING TEST"
[ 3,] "===================================================== "
[ 4,] "Empirical characteristics of the data: "
[ 5,] " n mean var min max"
[ 6,] " 100 0.1014 0.9435 -2.0018 2.5766"
[ 7,] "===================================================== "
[ 8,] "Hypothesis of: normal distribution with "
[ 9,] "parameters: 0.0000 , 1.0000"
[10,] "===================================================== "
[11,] "critical level alpha = 0.10 0.05 0.025 0.01 "
[12,] "critical values = 1.933 2.492 3.070 3.857"
[13,] "===================================================== "
[14,] "Test statistic A2 = 0.5762"
[15,] "Reject H0 at the level alpha if A2 > c.v. "
[16,] "===================================================== "
[17,] "!!! Decision: ACCEPT at the level 0.100 !!! "
[18,] "===================================================== "
[19,] ""
- Example:
library("stats")
randomize(6)
results=anddar(normal(100),"normal",0,1,"notext")
results
- Result:
Contents of results.A2
[1,] 0.57622
Contents of results.accept
[1,] 1
- Example:
library("stats")
randomize(6)
data=-log(1-uniform(10000))*5 ; exponential data with mean 5
results=anddar(data,"exponential",2,NaN)
results
- Result:
Contents of _tmp
[ 1,] "====================================================="
[ 2,] "ANDERSON - DARLING TEST"
[ 3,] "====================================================="
[ 4,] "Empirical characteristics of the data:"
[ 5,] " n mean var min max"
[ 6,] " 10000 4.8734 23.6509 0.0003 40.9731"
[ 7,] "====================================================="
[ 8,] "Hypothesis of: exponential distribution with"
[ 9,] "parameters: 2.0000 , +NAN"
[10,] "====================================================="
[11,] "critical level alpha = 0.10 0.05 0.025 0.01"
[12,] "critical values = 1.933 2.492 3.070 3.857"
[13,] "====================================================="
[14,] "Test statistic A2 = 3948.7272"
[15,] "Reject H0 at the level alpha if A2 > c.v."
[16,] "====================================================="
[17,] "!!! Decision: REJECT at the level 0.050 !!! "
[18,] "===================================================== "
[19,] ""
Contents of results.A2
[1,] 3948.7
Contents of results.accept
[1,] 0