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Function Description

Returns the results of a two factor Analysis of Variance (without 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.


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: rows

-          Row 2: columns

-          Row 3: error

-          Row 4: 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 – 3 only)

-          Col 4: F statistic, i.e. MS for applicable ANOVA component divided by MS for error (Rows 1 and 2 only)

-          Col 5: P-value from F distribution applicable to the F statistic (Rows 1 and 2 only)

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


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