| 31. | In a repeated measures design it is possible to partition subject variability from the treatment and error terms.
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| 32. | This prevents the filter from commuting with derivatives, and the commutation operation leads to several additional error terms:
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| 33. | Instrumental variables estimates are generally inconsistent if the instruments are correlated with the error term in the equation of interest.
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| 34. | Where is the th error term which is normally small for suitable values of and depends on,,, and.
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| 35. | For example, as statistical offices improve their data, measurement error decreases, so the error term declines over time.
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| 36. | Developments within analytic number theory are often refinements of earlier techniques, which reduce the error terms and widen their applicability.
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| 37. | Note that if two error terms are iid logistic, which is the basis for the equivalence of the two specifications.
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| 38. | The problem in autocorrelation, often found in time series data, is that the error terms are correlated over time.
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| 39. | Usually some specific distribution assumption on the error term is imposed, such that the parameter \ beta is estimated parametrically.
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| 40. | The parametric model is convenient for computation but might not be consistent once the distribution of the error term is misspecified.
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