ANOVA Analysis Object (Statistics Option)
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
See Also