3D ANOVA (Not in Base Package)

3D ANOVA takes an array of experimental observations made at various levels of three factors and performs a three-way analysis of variance. Details

Levels is a cluster of three numeric values corresponding to number of levels in the A, B, and C factors, as well as the effects of the A, B, and C factors (fixed or random).
Level A is the number of levels in A if A is fixed or the negative number of levels in A if A is random.
Level B is the number of levels in B if B is fixed or the negative number of levels in B if B is random.
Level C is the number of levels in C if C is fixed or the negative number of levels in C if C is random.
X contains all the observational data.
Index A contains the level of factor A to which the corresponding observation belongs.
Index B contains the level of factor B to which the corresponding observation belongs.
Index C contains the level of factor C to which the corresponding observation belongs.
observations per cell is the number of observations in each cell. It is the same for all cells.
The output 2D array Info is an 8 by 4 matrix organized where the first column corresponds to the sums of squares associated with the respective factors (A, B, C), the respective interactions (AB, AC, BC, ABC), and residual error.

The second column corresponds to the respective degrees of freedom.

The third column corresponds to the respective mean squares.

The fourth column corresponds to the respective F values.

Significance is a cluster of seven numerical values corresponding to the significance levels.
sig A is the computed level of significance associated with factor A.
sig B is the computed level of significance associated with factor B.
Sig C is the computed level of significance associated with factor C.
sig AB is the computed level of significance associated with the interaction of factors A and B.
Sig AC is the computed level of significance associated with the interaction of factors A and C.
Sig BC is the computed level of significance associated with the interaction of factors B and C.
Sig ABC is the computed level of significance associates the interaction of factors A, B, and C.
error returns any error or warning condition from the VI.

3D ANOVA Details

In any ANOVA, you look for evidence that the factors or interactions among factors have a significant effect on experimental outcomes. What varies with each model is the method used to do this. Refer to Random and Fixed Effects, General Method, Statistical Model, Assumptions, Hypotheses, Testing The Hypotheses, and Formulas for more information.