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metricsnotation

# metricsnotation - y i values for the entire sample X A...

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Notation for Econometrics For Econ 570, I will try to use the following notation consistently. ( Time subscripts are used only when dealing with time - series or panel data. ) N Total number of observations in the sample T Total number of time periods in the sample K Total number of explanatory variables in the model i or j Indexes a specific ( but generic ) observation t or s Indexes a specific ( but generic ) time period k or ! Indexes a specific ( but generic ) explanatory variable y i The value of the dependent variable for individual i ( or y it for the value for i at time t ) x ki The value of explanatory variable k for individual i ( or x kit for the value for i at time t ) e i The value of the unobservable determinants of the outcome y i ( or e it for the unobservable determinants of y it ) Y A vector containing all the

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Unformatted text preview: y i values for the entire sample X A matrix containing all the explanatory variables x ki for the entire sample e A vector cointaining all the e i values for the entire sample ! k The coefficient on explanatory variable k in a linear model A vector containing all the coefficients k E [ z ] The expected value of some variable z or the ( true ) population mean of z Var ( z ) The ( true ) population variance in z Cov ( z , w ) The ( true ) population covariance between z and w z The ( estimated ) sample mean of z V ˆ ar ( z ) The ( estimated ) sample variance in z C ˆ ov ( z , w ) The ( estimated ) covariance between z and w ˆ ! The estimated value of the coefficients...
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