DAAnovaTwoWithAnalysis
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Function Description
Returns the results of a two factor Analysis of Variance
(with replication), given an input array, InputArray, which needs to be
of length n1 x n2, where n1 is the number of groups of
data and n2 is the number of observations for each group, with the
groups further subdivided into subgroups, the (string) values of which are
contained in the array SubGroups.
The output is as a numeric array with 3 rows and 6 columns,
as follows (akin to that supplied by the Data Analysis Toolpack available via
Microsoft Excel):
Rows: Applicable ANOVA component, here

Row 1: sample

Row 2: columns

Row 3: interaction

Row 4: within (sub)groups

Row 5: total
Columns: Various relevant outputs:

Col 1: SS = Sum of squared deviations for applicable ANOVA
component

Col 2: df = Degrees of freedom for applicable ANOVA component

Col 3: MS = SS/df (for Rows 1 – 4 only)

Col 4: F statistic, i.e. MS for applicable ANOVA component
divided by MS for within group (Rows 1 – 3 only)

Col 5: Pvalue from F distribution applicable to the F
statistic (Rows 1 – 3 only)

Col 6: Equivalent critical value of F distribution given degrees
of freedom and confidence level Alpha
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