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DAAnovaOneAnalysis

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Returns the results of a one factor Analysis of Variance, given an input array, InputStringArray (of type string), which needs to be of length n1 x n2, where n1 is the number of groups of data and n2 is the (maximum) number of observations available for each group. For compatibility with the Data Analysis Toolpack available via Microsoft Excel the input values are strings and non-numerical values (e.g. blanks) are ignored (so the number of observations available for each set may differ).

 

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: between groups

-          Row 2: within groups

-          Row 3: total

 

Columns: Various relevant outputs, here:

 

-          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 and 2 only)

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

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

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

 

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