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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 A1.

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
Correct Measurement Model, All Elements of Φ Estimated

ϕ11 −15 −7 −2 −l −11 −6 −2 −l −13 −7 −2 −l
ϕ12 −17 −7 −0 −2 12 l l −l −15 −11 −4 −2
ϕ22 −17 −9 −4 −2 −21 −10 −4 −2 −l7 −8 −3 −2
λ21 l l 0 0 3 2 0 1 1 1 0 l
λ31 1 −1 1 −0 3 2 l 0 0 0 0 0
λ55 −6 −2 −2 −0 0 −l −0 −0 1 0 0 0
λ52 −2 1 −1 −0 5 2 0 0 3 L 0 0
λ62 1 1 −0 −0 5 3 0 0 2 2 0 0

Δ Percentage of Relative Bias from Model 1 Due to Omission of λ33

ϕ11 0 0 0 0 13 l2 l2 12 11 10 10 10
ϕ12 0 0 0 0 −31 −30 −31 −31 −23 −22 −22 −23
ϕ22 0 0 0 0 −l −0 0 0 1 1 1 L
λ21 0 0 0 0 L L 1 1 −l 0 0 0
λ31 53 59 61 63 71 72 74 75 65 67 69 69
λ52 0 0 0 0 0 0 0 −0 1 l l 0
λ62 0 0 0 0 1 l 0 −0 1 l 1 0

Δ Percentage of Bias from Model 1 Due to Omission of ϕ21 and ϕ12

ϕ11 −6 −9 −10 −10 −10 −10 −10 −10 −6 −7 −9 −9
ϕ22 6 3 2 1 l7 13 11 11 15 13 13 12
λ21 0 0 0 0 −0 −0 −0 −0 0 0 0 −0
λ31 0 0 0 0 2 1 L l 2 2 2 2
λ55 0 0 0 0 −2 −2 −2 −2 −l −2 −2 −2
λ52 0 0 0 0 −1 0 −0 −0 1 1 0 0
λ62 0 0 0 0 0 0 −0 −0 1 1 0 0