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Extensions of the multiple regression model are examined. Topics include non-linear least squares, maximum likelihood estimation and related testing procedures, generalised least squares, heteroskedasticity, autocorrelation and models with stochastic regressors. Limited dependent variable and panel data models and issues involving time-series data are introduced. Theoretical concepts are illustrated by applied examples.
Intended learning outcomes
LO1: Explain various problems of interpretation of causal estimates in regression and how the problems may be addressed using instrumental variables.
LO2: Apply least squares methods to estimation and inference for linear regression models with panel data.
LO3: Apply least squares to estimation, inference and interpretation for single and multiple equation models for stationary and non-stationary time series data.
LO4: Derive, simulate and interpret statistical properties of least squares estimators in these settings.
High level of development: problem solving; statistical reasoning; application of theory to practice; interpretation and analysis; evaluation of data and other information; use of computer software.
Moderate level of development: written communication; collaborative learning; team work; critical thinking; synthesis of data and other information.
Some level of development: accessing data and other information from a range of sources.
Last updated: 22 January 2022