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. Author manuscript; available in PMC: 2020 Sep 4.
Published in final edited form as: Multivariate Behav Res. 2019 Mar 4;54(2):246–263. doi: 10.1080/00273171.2018.1519406

Table 1.

Mean Percentage of Relative Bias

Estimator
MIIV-2SLS
pseudo-ML
Kalman Filter
Time Series Length
Time Series Length
Time Series Length
Parameter T = 50 T = 100 T = 250 T = 500 T = 50 T = 100 T = 250 T = 500 T = 50 T = 100 T = 250 T = 500
Correctly Specified Model

ϕ11 −15 −6 −3 −2 −14 −6 −3 −1 −9 −6 −2 −1
ϕ12 −6 −4 −3 0 −10 −2 2 2 −5 −5 −3 0
ϕ21 3 −1 −2 1 5 2 −0 1 −3 −3 1 −0
ϕ22 −11 −7 −4 −1 −14 −7 −4 −1 −13 −5 −2 −2
λ21 −0 −0 −0 0 1 0 0 0 −0 −0 0 0
λ31 −1 0 0 0 2 1 −0 0 −1 1 0 1
λ33 2 −1 −1 0 4 0 1 0 0 −1 1 1
λ52 1 1 −0 −0 3 1 0 −0 −0 0 0 0
λ62 0 1 −1 0 2 2 −0 0 −1 1 0 0

Δ Percentage of Relative Bias from Correctly Specified Model Due to Omission of λ33

ϕ11 0 0 0 0 13 12 11 11 11 10 10 10
ϕ12 0 0 0 0 −42 −44 −45 −46 −33 −34 −35 −36
ϕ21 0 0 0 0 4 2 1 1 −0 −3 −2 −3
ϕ22 0 0 0 0 −3 −3 −3 −3 −1 −1 −1 −1
λ21 0 0 0 0 0 −0 −0 0 −2 −1 −1 −1
λ31 35 37 39 40 44 44 45 45 39 40 42 42
λ52 0 0 0 0 0 0 0 0 0 0 0 0
λ62 0 0 0 0 −0 0 −0 −0 0 0 0 0

Δ Percentage of Relative Bias from Correctly Specified Model Due to Omission of ϕ12 and ϕ21

ϕ11 −3 −2 −2 −2 9 9 9 9 10 10 10 10
ϕ22 −5 −6 −4 −4 9 8 8 9 13 10 10 10
λ21 0 0 0 0 0 0 0 0 1 0 0 −0
λ31 0 0 0 0 −0 0 0 0 1 1 1 1
λ33 0 0 0 0 −1 −1 −1 −1 −2 −3 −3 −4
λ52 0 0 0 0 0 0 0 0 1 1 0 0
λ62 0 0 0 0 0 0 0 0 1 1 0 0