Anova2w

Purpose

Two way analysis of variance.

Synopsis

anova2w(dat,alpha)

Description

Calculates two way ANOVA table and tests significance of between factors variation (it is assumed that each column of the data represents a different factor) and between blocks variation (it is assumed that each row represents a block). Inputs are the data table (dat) and the optional desired confidence level (alpha), expressed as a fraction (e.g. 0.99, 0.999) {default is 0.95}. A text table is displayed if no output is requested.

Inputs

• dat = Data table where columns are factors.

Optional Inputs

• alpha = desired confidence level expressed as a fraction (default = 0.95)

Outputs

• results = A structure array containing all the contents of the table including the fields:

.ssq  : Sum of Squares (with sub-fields for factors, residual and total)

.dof  : Degrees of Freedom (with sub-fields for factors, residual and total)

.mean_sq : Mean Square (with sub-fields for factors and residual)

.F  : F-test value for factors (with sub-fields for factors and blocks)

.F_crit  : F-test critical value (for given alpha)

.alpha  : provided alpha

.p  : p-value for F-test value (alpha where F is significant)

.table  : cell array containing the the text description of the results (same as displayed with no outputs).

See Also

anova1w, ftest, statdemo