# BartlettTest (FPScript)

21.09.2021

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%.

ANOVA Function

Variance Test Analysis Object

Statistics Option

## References

[1] "Hartung, Joachim": "Statistik (Statistics), 9th Edition", page 617 ff. "Oldenbourg Verlag GmbH, Munich",1993.ISBN 3-486-22055-1.

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