DETERMINATION OF CHANGES IN THE MEAN SEA LEVEL USING THE LINEAR REGRESSION METHOD FOR UNREFINED AND SMOOTHED DATA
Res Thick Depth 1 41.5 1.5 1.5 2 17.1 4.4 5.8 3 142.7 1.3.8 19.6 4 13.4 29.1 48.7 5 181.7 * * RMS on smoothed data
Figure 3: Typical hydrogeophysical sounding curve for Sapele VES 2.
The objective function to be minimized is the mean of the squared distance between real data and smoothed data
. Suppose that there are m waypoints [Q.sub.j] (j = 1 : m) in the original data.
I use both types of smoothed data
to compute the correlations in the next section.
where A and B are the two involved volumes, was applied for the upper/lower 10%, 20%, 30% 40%, and 50% ventilation regions between pairs of ventilation datasets, including the original and smoothed data
We smoothed data
by using 3-week and 5-week moving averages to reduce week-to-week variation, wherein the count of events for a given week was averaged with values of the previous and following weeks (3 weeks) or with the 2 previous and 2 following weeks (5 weeks).
The original resolution data have a 25 m cell size in the areas of the X band coverage, but smoothed data
have cell sizes of 250 m.
To calculate the smoothed data
[Y*.sub.1] corresponding to the year i, we employed the formula
Parham (2005a) criticises Hancock's analysis arguing that the failure to find statistically significant results reflects short-term noise in the data, and that it is better to focus on smoothed data
. If the ABS analysis of productivity cycles is accepted, it seems most natural to focus on a data set consisting of such cycles, as is done in most of the informal discussion of the topic.
This usually has the effect of blurring the sharp edges in the smoothed data
. Smoothing is sometimes referred to as filtering, because smoothing has the effect of suppressing high frequency signal and enhancing low frequency signal.
It has recently been reported that the S-Plus Software (MathSoft, Inc., Cambridge, MA) fails to adequately meet the convergence criteria nominally applicable to multiply smoothed data
in studies of acute health effects of air pollution (Dominici et al.