ANOVA Analysis Object (Statistics Option)

09.03.2021

Use this analysis object to perform a Fisher analysis of variance (ANOVA) for a series of samples from a normally distributed population.

You can calculate the following parameters in the ANOVA table:

Cause of Dispersion

Degrees of Freedom (DF)

Square Sum (SS)

Mean Square Sum (MS)

Differences Between the Data Series

p - 1 

SST

MST=SST / (p - 1)

Random Error  

N - p

SSE

MSE = SSE / (N - p)

Total  

N - 1

TSS

 

The abbreviations used stand for the following:

Abbreviation 

Meaning

ANOVA

Analysis of variance

SST

Sum of squares for treatments

MST

Mean square for treatments

SSE

Sum of squares for error

MSE

Mean square for error

TSS

Total sum of squares

p

Number of samples

N

Sum of the values of all of the samples

For the result, you can output a single parameter or the entire table as a list with eight elements.

References

Hartung, Joachim (1993). Statistik (Statistics), 9th Edition. Oldenbourg Verlag GmbH, Munich. ISBN 3-486-22055-1. Starting on page 611.

FPScript Functions Used

ANOVA

See Also

Statistics Option

Analysis Objects

 

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