Different levels of multicollinearity

ρ = 0.9

ρ = 0.99

ρ = 0.999

Estimator

Predictor

Estimator

Predictor

Estimator

Predictor

For ( l , p ) = ( 5 , 0 )

γ ^ d

( 0 < d 0.4 )

y ^ d

( 0 < d 0.4 )

γ ^ r d

( 0 < d 0.4 )

y ^ d

( 0 < d 0.4 )

γ ^ r d

( 0 < d 0.2 )

y ^ d

( 0 < d 0.2 )

γ ^ k

( 0.4 < k < 1 )

y ^ k

( 0.4 < k < 1 )

γ ^ r k

( 0.4 < k < 1 )

y ^ k

( 0.4 < k < 1 )

γ ^ r k

( 0.2 < k 0.5 )

y ^ k

( 0.2 < k < 1 )

γ ^ k

( 0.5 < k < 1 )

For ( l , p ) = ( 4 , 1 )

γ ^ d

( 0 < d 0.4 )

y ^ d

( 0 < d 0.4 )

γ ^ r d

( 0 < d 0.4 )

y ^ d

( 0 < d 0.4 )

γ ^ r d

( 0 < d 0.2 )

y ^ d

( 0 < d 0.2 )

γ ^ k

( 0.4 < k < 1 )

y ^ k

( 0.4 < k < 1 )

γ ^ r k

( 0.4 < k < 1 )

y ^ k

( 0.4 < k < 1 )

γ ^ r k

( 0.2 < k 0.5 )

y ^ k

( 0.2 < k < 1 )

γ ^ k

( 0.5 < k < 1 )

For ( l , p ) = ( 3 , 2 )

γ ^ d

( 0 < d 0.4 )

y ^ d

( 0 < d 0.4 )

γ ^ r d

( 0 < d 0.4 )

y ^ d

( 0 < d 0.4 )

γ ^ r d

( 0 < d 0.2 )

y ^ d

( 0 < d 0.2 )

γ ^ k

( 0.4 < k < 1 )

y ^ k

( 0.4 < k < 1 )

γ ^ r k

( 0.4 < k < 1 )

y ^ k

( 0.4 < k < 1 )

γ ^ r k

( 0.2 < k 0.7 )

y ^ k

( 0.2 < k < 1 )

γ ^ k

( 0.7 < k < 1 )