Anova1w: Difference between revisions

From Eigenvector Research Documentation Wiki
Jump to navigation Jump to search
imported>Neal
imported>Scott
No edit summary
Line 1: Line 1:
===Purpose===
===Purpose===


One way analysis of variance.
One-way analysis of variance.


===Synopsis===
===Synopsis===


:anova1w(dat,alpha)
:anova1w(dat,alpha)
:results = anova1w(dat,alpha)


===Description===
===Description===


Calculates one way ANOVA table and tests significance of between factors variation (it is assumed that each column of the data represents a different treatment). Inputs are the data table (dat) and the desired confidence level (alpha), expressed as a fraction (''e.g.'' 0.95, 0.99, etc.). The output is an ANOVA table written to the command window.
Calculates one way ANOVA table and tests significance of between factors variation (it is assumed that each column of the data represents a different treatment). Inputs are the data table (dat) and the optional desired confidence level (alpha), expressed as a fraction (e.g. 0.99, 0.999). {default = 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
: '''.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===
===See Also===


[[anova2w]], [[ftest]], [[statdemo]]
[[anova2w]], [[ftest]], [[statdemo]]

Revision as of 08:10, 12 September 2011

Purpose

One-way analysis of variance.

Synopsis

anova1w(dat,alpha)
results = anova1w(dat,alpha)

Description

Calculates one way ANOVA table and tests significance of between factors variation (it is assumed that each column of the data represents a different treatment). Inputs are the data table (dat) and the optional desired confidence level (alpha), expressed as a fraction (e.g. 0.99, 0.999). {default = 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
.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

anova2w, ftest, statdemo