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 sub-groups, 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
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Row 1: sample
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Row 2: columns
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Row 3: interaction
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Row 4: within (sub)groups
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Row 5: total
Columns: Various relevant outputs:
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Col 1: SS = Sum of squared deviations for applicable ANOVA
component
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Col 2: df = Degrees of freedom for applicable ANOVA component
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Col 3: MS = SS/df (for Rows 1 – 4 only)
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Col 4: F statistic, i.e. MS for applicable ANOVA component
divided by MS for within group (Rows 1 – 3 only)
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Col 5: P-value from F distribution applicable to the F
statistic (Rows 1 – 3 only)
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Col 6: Equivalent critical value of F distribution given degrees
of freedom and confidence level Alpha
NAVIGATION LINKS
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Output type / Parameter details
Output type: Double()
Parameter Name | Variable Type | Description |
InputArray | Double() | Input array |
n1 | Integer | Number of series |
n2 | Integer | Number of elements in each series |
SubGroups | String() | Array containing subgroups applicable to each input value |
Alpha | Double | Confidence level for critical value(s) of F distribution |
Links to:
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Interactively run function
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Interactive instructions
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Example calculation
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Output type / Parameter details
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Illustrative spreadsheet
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Other Statistical functions
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Computation units used
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