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viii
ABSTRACT
Title : Unbalanced Panel Data Analysis Effects of Road
Infrastructure for Gross Domestic Product with Minimum
Variance Quadratic Unbiased Estimation Method
(MIVQUE)
Supervisor : Dr. Toni Toharudin
Co-Supervisor : Hj. Soemartini, Dra., M.Si
Name : Oscar Pratama
NPM : 140610110068
Data panel is a collection of data from several observations that
observed from time to time. But the problems that often occur in the data
collection is the observation that no measurable phenomenon, in this case not
all observations observed in the same time frame. Thus becoming the panel
data analysis is incomplete or unbalanced. One model that can be used is a
two-way error component model that his error influenced by observation and
time. Estimating variance components of the model error were calculated using
the Minimum Variance Quadratic Unbiased Estimation (MIVQUE) that can
minimize the variance component estimation error. While the regression model
parameter estimation unbalanced panel data for two-way error component
model were calculated using Maximum Likelihood Estimation (MLE). Both
methods are applied to the modeling of relationships Long Road, Road
Stability Conditions and Budget Road with Gross Domestic Product (GDP) of
the 33 provinces were studied from 2009 to 2012. The method MIVQUE
ix
obtained variance error component 𝜎̂𝜇
2
= 1.07115679, 𝜎̂𝜆
2
= 0.00153480, and
𝜎̂ 𝑉
2
= 0.00728019 and the MLE method obtained the best model 𝑌̂𝑖𝑡 =
9.91439533 + 0.00003092𝑋𝑖𝑡1 − 0.00003164𝑋𝑖𝑡2 − 0.00001705𝑋𝑖𝑡3. In an
unbalanced panel data analysis of two-way error component, before estimate
the model parameters to estimate variance components first error because the
value of the estimated variance of the error component is used to find the value
of the parameter estimates for the model unbalanced panel data regression.
Keywords: Unbalanced Panel Data, Component Error Two-Way, MIVQUE,
MLE, Infrastructure Roads, GDP.

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6-ABSTRACT

  • 1. viii ABSTRACT Title : Unbalanced Panel Data Analysis Effects of Road Infrastructure for Gross Domestic Product with Minimum Variance Quadratic Unbiased Estimation Method (MIVQUE) Supervisor : Dr. Toni Toharudin Co-Supervisor : Hj. Soemartini, Dra., M.Si Name : Oscar Pratama NPM : 140610110068 Data panel is a collection of data from several observations that observed from time to time. But the problems that often occur in the data collection is the observation that no measurable phenomenon, in this case not all observations observed in the same time frame. Thus becoming the panel data analysis is incomplete or unbalanced. One model that can be used is a two-way error component model that his error influenced by observation and time. Estimating variance components of the model error were calculated using the Minimum Variance Quadratic Unbiased Estimation (MIVQUE) that can minimize the variance component estimation error. While the regression model parameter estimation unbalanced panel data for two-way error component model were calculated using Maximum Likelihood Estimation (MLE). Both methods are applied to the modeling of relationships Long Road, Road Stability Conditions and Budget Road with Gross Domestic Product (GDP) of the 33 provinces were studied from 2009 to 2012. The method MIVQUE
  • 2. ix obtained variance error component 𝜎̂𝜇 2 = 1.07115679, 𝜎̂𝜆 2 = 0.00153480, and 𝜎̂ 𝑉 2 = 0.00728019 and the MLE method obtained the best model 𝑌̂𝑖𝑡 = 9.91439533 + 0.00003092𝑋𝑖𝑡1 − 0.00003164𝑋𝑖𝑡2 − 0.00001705𝑋𝑖𝑡3. In an unbalanced panel data analysis of two-way error component, before estimate the model parameters to estimate variance components first error because the value of the estimated variance of the error component is used to find the value of the parameter estimates for the model unbalanced panel data regression. Keywords: Unbalanced Panel Data, Component Error Two-Way, MIVQUE, MLE, Infrastructure Roads, GDP.