Ratio and Regression estimation: Calculate the population mean or total of the population. Factorial experiments in a single replicate. View or by method for their cell. Gentle and Harville and found both to be very helpful and quite manageable.
While simple linear regression uses all of the data in the time series, maximizing the degrees of freedom, the epoch difference estimation uses only the data at the beginning and end of the time series and thus ignores information.
In this instance, the data in the middle of the time series are no longer independent of the data at the end points; the epoch difference estimation then outperforms the linear regression estimation of the trend.
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