Example of Dominance Analysis

List of contents
List of tables
Correlation Matrix
abcdy
a1.000.037-.075.013.805
b.0371.000.005.116.501
c-.075.0051.000.045.237
d.013.116.0451.000.211
y.805.501.237.2111.000

Multiple reggresion of a,b,c,d on y

Engine: Statsample::Regression::Multiple::RubyEngine

Cases(listwise)=200(200)

R=0.988

R^2=0.975

R^2 Adj=0.975

Std.Error R=0.293

Equation=0.621 + 5.085a + 2.908b + 1.910c + 0.898d

ANOVA

ANOVA Table
sourcessdfmsfp
Regression661.2374165.3091927.6020.000
Error16.7231950.086
Total677.960199165.395
Beta coefficients
coeffbbetaset
Constant0.621-0.0738.443
a5.0850.8080.07171.630
b2.9080.4530.07340.013
c1.9100.2890.07525.597
d0.8980.1350.07511.948

Dominance Analysis using group of predictors

Dominance Analysis result
r2signab(c,d)
Model 00.6490.2510.097
a0.6490.000--0.2220.124
b0.2510.0000.620--0.076
(c,d)0.0970.0000.6760.230--
k=1 Average0.6480.2260.100
a*b0.8710.000----0.105
a*(c,d)0.7730.000--0.203--
b*(c,d)0.3260.0000.649----
k=2 Average0.6490.2030.105
a*b*(c,d)0.9750.000------
Overall averages0.6490.2260.100
Pairwise dominance
PairsTotalConditionalGeneral
a - b1.01.01.0
a - (c-d)1.01.01.0
b - (c-d)1.01.01.0