Here is a short report on my analysis of the MT calibration patches obtained during May 98.

New report

1) MT calibration patches for 7 equatorial zones appear good, i.e. they are readable and no overally suspicious features in the data are present. It seems that we could use these data to get photometric calibration accurate to within a couple of percent. This might not be true for z filter where the good stars do not go deep enough. Here 'good' stars are those with magnitudes determined better than 0.05-0.1 mag, AND fainter than 14 mag (brighter stars saturate chips on the main camera). In z filter the magnitude error becomes >~ 0.1 already for m ~ 15. It is not clear what causes so large errors for so bright objects. One possibility is that the aperture size is too large. It would be great if MT pipeline could be run again with a smaller aperture size, at least for some subset of the data. A good choice would be zone K since it has many stars observed twice, and thus we can independently estimate errors. 2) Errors do not behave as one would expect. As mentioned above, many stars in zone K were observed twice and these data can be used as an independent check of the photometric errors quoted by MT pipeline. That is, one can compare the magnitude differences between the two measurements to the quoted errors. We would expect that these differences, when normalized by the quoted errors, show a Gaussian distribution with sigma = 1.41 (instead of 1 because we take the difference of 2 measurements). In r, i, and z bands they do indeed show a Gaussian distribution, but the width is about a factor of 2 larger. In other words, the quoted errors seem to be underestimated for about a factor of 2. In u and g bands the distribution is clearly non-Gaussian and resembles a top-hat distribution between -4 and 4, and there are some outliers with values as high as 100. The outliers are not too important because they are easy to recognize, but the strong non-Gaussianity of the error distribution is worrisome. We do not understand what is going on. It might be a good idea to observe zone K again, at least in u, r and z bands, and to try to go deep enough in filter z.The following 3 figures show the results of analysis for equatorial calibration zone K.

1) The large panel on the left side displays all detected objects in Dec-RA map. On the right hand side there are 5 histograms with the distribution of sources in each band. Note in the last histogram that the z band data do not go deep enough. Below the histograms there is a printout of the number of good stars in each band. 'Good' stars are those with magErr>0 (reliable magnitudes) and 14.0 < m < 17.0. The numbers are normalized to 1 camera column width.

Click here for PostScript file.

2) This figure shows three color-color diagrams in the first row, 5 magnitude error vs. magnitude diagrams in the second row, and 4 color-magnitude diagrams in the third row. Note in the last panel in the second row that errors in z band are about 0.1 already for z magnitude of ~15.

Click here for PostScript file.

3) This figure shows analysis of quoted errors based on multiple observations of zone K. For stars which were observed twice, the magnitude difference between the two measurements is compared to the quoted error. The first row shows the dependence of the magnitude difference on magnitude. The magnitude difference increases with magnitude as expected because the error also increases with magnitude (see figure 2 above). The second row shows the dependence of the ratio of magnitude difference to error on magnitude. As one would expect, it does not depend on magnitude. However, this ratio should show a Gaussian distribution with sigma = 1.4 which is not the case. This is emphasised in histograms shown in the third row (x axes are (mag-mag')/err for u, g, r, i, and z). In r, i, and z bands the ratio does show a Gaussian distribution, but the width is about a factor of 2 larger than expected. In other words, the quoted errors seem to be underestimated for about a factor of 2. In u and g bands the distribution is clearly non-Gaussian and resembles a top-hat distribution between -4 and 4. This is worrisome...

Click here for PostScript file.

Here is report on analysis of the new kaCalObj files produced by Douglas Tucker.

Douglas Tucker has completed new reductions of MT patches, this time using a 50% smaller 'small aperture': >The new reductions have been completed, and they reside in the >following sdssdp2 directories: > >Equatorial Patch Directory >---------------- --------- >G, (K) /data/dp2.5/dp/mt/run/JL0201/mjd50900a >H, K /data/dp2.5/dp/mt/run/JL0201/mjd50904a >I, L /data/dp2.5/dp/mt/run/JL0204/mjd50906a >J /data/dp2.5/dp/mt/run/JL0204/mjd50907a >M /data/dp2.5/dp/mt/run/JL0208/mjd50926a >N (partial) /data/dp2.1/dp/JL0210/mjd50935a > >I managed to get mjd50900a through excal and kali in the end, after >all, so the inter-K-field comparison is possible. Recall that the >apertures for these reductions are big aperture=24"-diameter, small >aperture = 12"-diameter; the previous reductions had big aperture = >small aperture = 24"-diameter. I performed the same analysis as before (figures are at the bottom of this page). Conclusions are: 1) There are no significant differences is magnitude histograms compared to the first reductions. 2) Color-color diagrams show smaller spread than before, probably showing that there are less outliers. 3) Magnitude error vs. magnitude diagrams had a single well-defined dependence for the first set of reductions. Now there are several curves for each band, and some of them show errors > 0.1 mag irrespective of magnitude. This might point to some weird systematics in the reduction, or may simply reflect varying observing conditions. 4) Color-magnitude diagrams do not show any difference, except that perhaps i-z color has somewhat smaller spread for sources with faint i magnitudes. 5) There is a change in the cumulative SNR. It is now smaller in u and g, and larger in r, i and z bands. Here is the new table: Cumulative SNR for Ka: filter SNR Nstars u 91.8 10 g 278.7 70 r 457.5 74 i 336.0 51 z 124.5 18 and for reference here is the old one: Cumulative SNR for K: filter SNR Nstars u 255.1 23 g 545.3 66 r 417.8 60 i 268.5 41 z 71.7 8 6) Comparison of quoted errors and actual differences in magnitudes for stars observed twice shows that they agree _much_ better than before, notably in u band. Now we get Gaussian distributions in all bands, with the widths consistent with the expected value of 1.4 (the bottom panels in figure 2 below). Note that this improved agreement could be caused by either more consistent magnitudes between the two measurements, but also by simply increasing the quoted errors. Distribution of actual differences (the top panels in figure 2 below) shows that they indeed are smaller than before. For example, in g band typical differences were already about 0.05 mag for ~15 mag objects, while now they become ~0.05 mag for 16-17 mag objects. I think this shows that using a smaller aperture in the data reduction is a good idea. A slight peculiarity exists for the data in i band: there is a systematic difference of about 0.02-0.03 mag between different patches, and it appears to be magnitude independent. Given all of the above I would conclude the following: 1) We need to use a small aperture to reduce the data as Douglas did in the latest set of reductions. 2) We can calibrate with what we have to ~5%. 3) We might be able to achieve ~2%, but only in g, r and i bands. If we want to get the same accuracy in u and z bands, then we need to get more (better) data.

Figure 1 Click here for PostScript file.

Figure 2 Click here for PostScript file.