Anova1w: Difference between revisions
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===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 ( | |||
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. For more information see the <code>anova1wdemo</code>. | |||
====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]], [[anovadoe]], [[ftest]], [[statdemo]] | |||
Latest revision as of 08:53, 3 September 2019
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. For more information see the anova1wdemo.
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).