StatsANOVA2NRTest

StatsANOVA2NRTest [/ALPH=significance /MODL=modelNumber /Q/Z /T=k ] srcWave

The StatsANOVA2NRTest operation performs a two-factor analysis of variance (ANOVA) on the data that has no replication where there is only a single datum for every factor level. srcWave is a 2D wave of any numeric type. Output is to the M_ANOVA2NRResults wave in the current data folder or optionally to a table.

Flags


/ALPH=val	Sets the significance level (default 0.05).
/DEST=destWave	Specify the output wave for the test. If you do not specify this flag, the operation stores the data in the wave M_ANOVA2NRResults in the current data folder.
	This flag was added in Igor Pro 10.00.
/FREE	Creates the destination wave as a free wave.
	/FREE is allowed only in functions, and only if the destination waves are simple names or wave reference structure fields.
	See Free Waves for more discussion.
	The /FREE flag was added in Igor Pro 10.00.
/FOMD	Estimates one missing value. You will also have to use a single or double precision wave for srcWave and designate the single missing value as NaN. The estimated value is printed to the history as well as the bias used to correct the sum of the squares of factor A.
/INT=val	Sets the degree of interactivity.
	val =0:	No interaction between the factors (default).
	val =1:	Significant interaction effect between factors.
	Combination with /MODL determines which factors to test:
	val	Model 1	Model 2	Model 3
	1		A&B	A
	0	A&B	A&B	A&B
	As indicated in the table, factor B is not tested for significant interaction under Model 3 and neither factor A nor factor B are tested for Model 1. If you are willing to accept an increase in Type II error you can obtain the relevant values by specifying Model 2. None of the models support a test for interaction A x B.
/MODL=model	Sets the model number.
	model =1:	Factor A and factor B are fixed.
	model =2:	Both factors are random.
	model =3:	Factor A is fixed and factor B is random (default).
/Q	quiet mode — does not print results in the history.
/T=k	Displays results in a table. k specifies the table behavior when it is closed.
	k =0:	Normal with dialog (default).
	k =1:	Kills with no dialog.
	k =2:	Disables killing.
	The table is associated with the test, not the data. If you repeat the test, it will update any existing table with the new results..
/Z	Ignores errors. V_flag will be set to -1 for any error and to zero otherwise.

Details

Input to StatsANOVA2NRTest is a 2D wave in which the Factor A corresponds to rows and Factor B corresponds to columns. H₀ provides that there is no difference in the means of the respective populations, i.e., if H₀ is rejected for Factor A but accepted for Factor B that means that there is no difference in the means of the columns but the means of the rows are different.

NaN and INF entries are not supported although you may use a single NaN value in combination with the /FOMD flag. If srcWave contains dimension labels they will be used to designate the two factors in the output.

The contents of the M_ANOVA2NRResults output wave columns are as follows:


Column 0	Sum of the squares (SS) values
Column 1	Degrees of freedom (DF)
Column 2	Mean square (MS) values
Column 3	Computed F value for this test
Column 4	Critical F value (F_c) for the specified alpha
Column 5	Conclusion with 0 to reject H₀ or 1 to accept it

The variable V_flag is set to zero if the operation succeeds or to -1 otherwise.

Demos

Open ANOVA2NR Demo.pxp