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4.6. VELMOD Results Using 500 km s-1 Smoothing

In our mock catalog tests, we found that using 500 km s-1 smoothing in the IRAS reconstruction resulted in ~ 20% overestimates of betaI (Section 3.1). However, because the mock catalog may not faithfully reproduce the dynamics of the real universe, it is useful to see how much betaI changes for the real data when the 500 km s-1-smoothed IRAS reconstructions are used. We carried out two such VELMOD runs, one with and one without the quadrupole. (We determined the quadrupole in the same way as for the 300 km s-1-smoothed reconstruction and found that the two differ little.) The resulting maximum likelihood estimates of betaI are listed in Table 2. The larger smoothing results in an increase in betaI, as expected. However, the 500 km s-1 result, betaI = 0.544 ± 0.071, is within 1 sigma of our favored result obtained at 300 km s-1 smoothing. If we reduce this value by 20%, in accord with the bias seen in the mock catalogs, we obtain betaI = 0.45 ± 0.07, also within 1 sigma of our preferred result. Our choice of a 300 km s-1 smoothing scale is thus unlikely to have led us seriously astray, even if the mock catalogs are imperfect guides.