mpower | Retrospective power analysis for multivariate GLMs | mpower |
The program reads the OUTSTAT= data set constructed in a PROC GLM step. For each effect tested, the program calculates the nominal power of the test, if the sample means were population values.
For proper power analysis and sample size planning, you should consider the size of differences among groups which are meaningful to detect in terms of the research questions.
Power is then calculated from the equivalent F-statistic.
proc glm data= outstat=STATS; class classvars; model depvars = independents / SS3 nouni; * use SSn option; contrast 'name' effect {coefficients}; manova h=effects;For every effect tested on the MODEL statement or in a CONTRAST statement, observations in the OUTSTAT= dataset will be produced containing the hypothesis SSCP matrix. If you do not specify an SSn option on the MODEL statement, GLM will produce both Type I (SS1) and Type III (SS3) sum of squares. The mpower macro calculates the power for each of these.
Then invoke the mpower macro, supplying the OUTSTAT= dataset as the data= parameter to mpower
%mpower; %mpower(data=STATS, ..., )You must supply a value for the YVAR= parameter to specify the dependent variables in the dataset. The arguments may be listed within parentheses in any order, separated by commas. For example:
%mpower(data=STATS, yvar=depvars) %mpower(data=STATS, yvar=depvars, alpha=.01, tests=WILKS ROY)
%include data(dogfood); title 'Retrospective Power Analysis: OneWay MANOVA Design'; proc glm order=data outstat=stats; class formula; model start amount = formula / ss3 nouni; contrast 'Ours vs. Theirs' formula 1 1 -1 -1; * contrast 'Old - New' formula 1 -1 0 0; * contrast 'Major vs. Alps' formula 0 0 1 -1; manova h=formula; run;Power analysis for the effect of FORMULA and the contrast 'Ours vs. Theirs' is carried out by the mpower macro:
%include macros(mpower); *-- or include in an autocall library; title2 'Multivariate power'; %mpower(data=stats, yvar=start amount);The results include:
Retrospective Power Analysis: OneWay MANOVA Design Multivariate power EFFECT ALPHA Power analysis for FORMULA SS3 0.05 Value F df1 df2 Eta##2 Non-Cent. Power Wilks' Lambda 0.319 2.827 6 22 0.4353 8.48 0.4352 Pillai's Trace 0.702 2.162 6 24 0.3509 6.4869 0.3414 Lawley Trace 2.071 3.452 6 20 0.5088 10.357 0.5135 Roy's max. Root 2.040 8.158 3 12 0.671 24.475 0.9529 EFFECT ALPHA Power analysis for Ours vs. Theirs CONTRAST 0.05 Value F df1 df2 Eta##2 Non-Cent. Power Wilks' Lambda 0.375 9.178 2 11 0.6253 9.1778 0.6509 Pillai's Trace 0.625 9.178 2 11 0.6253 9.1778 0.6509 Lawley Trace 1.669 9.178 2 11 0.6253 9.1778 0.6509 Roy's max. Root 1.669 9.178 2 11 0.6253 9.1778 0.6509