Rotation patterns and trend estimation for repeated surveys using rotation group estimates
A general approach for constructing filters to produce trend estimates from a repeated survey is described. This approach accounts for the correlation structure induced by the rotation pattern used in the survey. Different filters are developed depending on whether the trend analysis is based on elementary estimates available for each rotation group or overall estimates obtained by combining the rotation group estimates. The properties of trend estimates obtained directly from the elementary estimates, those obtained from the simple average of the rotation group estimates and trend estimates obtained from the best linear unbiased estimates of the population characteristics of interest are compared. These comparisons are done for a number of rotation pattern, enabling an assessment of the impact of the choice of rotation patterns on trend estimation.