Anova2w

Purpose

Two way analysis of variance.

Synopsis

anova2w(dat,alpha)

results = 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 (with sub-fields for factors and blocks)

.alpha  : provided alpha

.p  : p-value for F-test value (alpha where F is significant; with sub-fields for factors and blocks)

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

See Also

anova1w, ftest, statdemo