BartlettTest (FPScript)
Carries out a Bartlett variance test.
Syntax
BartlettTest(Samples, ErrorProbability)
The syntax of the BartlettTest function consists of the following parts:
Part |
Description |
|---|---|
Samples |
Contains a data matrix or a signal series with the samples to be examined. Permitted data structures are data matrix, signal series und signal series with two-dimensional X-component. All numeric data types are permitted. For complex data types the absolute value is formed. If the argument is a list, then the function is executed for each element of the list and the result is also a list. |
ErrorProbability |
Specifies the error probability, on which the test is to be based, as a percentage. Permitted data structures are scalar value. All numeric data types are permitted. The argument is transformed to the unit %. The value must be greater or equal to 0 % and less or equal to 100 %. If the argument is a list, then the first element in the list is taken. If this is also a list, then the process is repeated. |
Remarks
The result always has the data type Boolean value.
The test checks whether the variances of several samples are significantly different or not. The samples must originate from a normally distributed population.
The function returns a Boolean value that represents the test result:
Value |
Interpretation |
|---|---|
FALSE |
The hypothesis was rejected. The samples are significantly different. |
TRUE |
The hypothesis was accepted. The samples are not significantly different. |
Available in
Option Enhanced Statistics
Examples
BartlettTest({{9.0, 15.4, 8.2, 3.9, 7.3, 10.8}, {7.3, 15.6, 14.2, 13.0, 6.8, 9.7}, {18.0, 9.6, 11.5, 19.4, 17.1, 14.4}}, 5)
Results in TRUE . The variances of the six samples in the data matrix are not significantly different when the error probability is 5%.
See Also
References
[1] "Hartung, Joachim": "Statistik (Statistics), 9th Edition", page 617 ff. "Oldenbourg Verlag GmbH, Munich",1993.ISBN 3-486-22055-1.