Output from m1power.sas
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Retrospective Power Analysis: OneWay MANOVA Design 1
General Linear Models Procedure
Class Level Information
Class Levels Values
FORMULA 4 OLD NEW MAJOR ALPS
Number of observations in data set = 16
Retrospective Power Analysis: OneWay MANOVA Design 2
General Linear Models Procedure
Multivariate Analysis of Variance
Characteristic Roots and Vectors of: E Inverse * H, where
H = Type III SS&CP Matrix for FORMULA E = Error SS&CP Matrix
Characteristic Percent Characteristic Vector V'EV=1
Root
START AMOUNT
2.03961854 98.47 -0.10279413 0.04639418
0.03174562 1.53 0.16973304 0.02111246
Manova Test Criteria and F Approximations for
the Hypothesis of no Overall FORMULA Effect
H = Type III SS&CP Matrix for FORMULA E = Error SS&CP Matrix
S=2 M=0 N=4.5
Statistic Value F Num DF Den DF Pr > F
Wilks' Lambda 0.31886605 2.8267 6 22 0.0341
Pillai's Trace 0.70178019 2.1623 6 24 0.0829
Hotelling-Lawley Trace 2.07136416 3.4523 6 20 0.0166
Roy's Greatest Root 2.03961854 8.1585 3 12 0.0031
NOTE: F Statistic for Roy's Greatest Root is an upper bound.
NOTE: F Statistic for Wilks' Lambda is exact.
Characteristic Roots and Vectors of: E Inverse * H, where
H = Contrast SS&CP Matrix for Ours vs. Theirs E = Error SS&CP Matrix
Characteristic Percent Characteristic Vector V'EV=1
Root
START AMOUNT
1.66869411 100.00 -0.10378699 0.04626967
0.00000000 0.00 0.16912776 0.02138397
Retrospective Power Analysis: OneWay MANOVA Design 3
General Linear Models Procedure
Multivariate Analysis of Variance
Manova Test Criteria and Exact F Statistics for
the Hypothesis of no Overall Ours vs. Theirs Effect
H = Contrast SS&CP Matrix for Ours vs. Theirs E = Error SS&CP Matrix
S=1 M=0 N=4.5
Statistic Value F Num DF Den DF Pr > F
Wilks' Lambda 0.37471511 9.1778 2 11 0.0045 Pillai's Trace 0.62528489 9.1778 2 11 0.0045 Hotelling-Lawley Trace 1.66869411 9.1778 2 11 0.0045 Roy's Greatest Root 1.66869411 9.1778 2 11 0.0045
Retrospective Power Analysis: OneWay MANOVA Design 4 Univariate power
F Nominal Adj. SOURCE _NAME_ _TYPE_ START AMOUNT DF Value power power
FORMULA START SS3 9.6875 -70.938 3 1.50 0.063 0.050 FORMULA AMOUNT SS3 -70.9375 585.687 3 6.00 0.868 0.693 Ours vs. Theirs START CONTRAST 7.5625 -59.813 1 3.52 0.073 0.050 Ours vs. Theirs AMOUNT CONTRAST -59.8125 473.063 1 14.55 0.938 0.864
Non- Adj_Non- Req'd Total Req'd SOURCE _NAME_ Centrality Centrality N N power ALPHA
FORMULA START 0.30 0.00 . . 0.8 0.05 FORMULA AMOUNT 18.01 12.01 . . 0.8 0.05 Ours vs. Theirs START 0.23 0.00 . . 0.8 0.05 Ours vs. Theirs AMOUNT 14.55 11.12 . . 0.8 0.05
Retrospective Power Analysis: OneWay MANOVA Design 5 Multivariate power
EFFECT ALPHA
Power analysis for FORMULA SS3 0.05
ROOTS THETA S M N
2.0396185 0.6710114 2 0 4.5
0.0317456 0.0307688
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
ROOTS THETA S M N
1.6686941 0.6252849 1 0 4.5
0 0
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