The Errors-In-Variables Model Analyzed in the Text Results In So That the OLS Estimator Is Inconsistent

question 48

Essay

The errors-in-variables model analyzed in the text results in $\hat { \beta } _ { 1 } \stackrel { p } { \longrightarrow } \frac { \sigma _ { X } ^ { 2 } } { \sigma _ { X } ^ { 2 } + \sigma _ { w } ^ { 2 } } \beta _ { 1 }$ so that the OLS estimator is inconsistent. Give a condition involving the variances of X and w, under which the bias towards zero becomes small.

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Definitions:

Cost Of Goods Manufactured

The total production cost of goods completed during a specific period, whether they are sold or not.

Cost Of Goods Sold

Direct costs attributable to the production of the goods sold by a company, including material and labor costs.

Total Quality Management

A management approach focused on improving the quality of an organization's outputs, including goods and services, through continual feedback and improvements.

Zero Defects

A performance standard aiming for no defects in the production process to enhance product quality.