The data from IV:3 to be used are demonstrated in the tables II and X of the report (p. 145 and
154 respectively). Residual y-parallaxes were measured in 6 A7- and 5 A8-models and are demonstrated
in table 5 of the IV:4-report. Corresponding coordinate accuracy estimations and confidence intervals
are demonstrated on p. 25 of the report. Due to the coordinate system used by IV:3 the x- and y-
estimations by IV:4 have to be reversed for the comparison.
Table 2
| Averages of mean square
values of discrepancies Diff.
Autographs Coordi- | on the ground in meters IV:3--IV:4
AT+A8 nates | Tres | steer motor
| IV:4 | [V:3
| (y-parallaxes) | (geod.)
14 models IV:3 X 0.76 0.60 0.16
14 " 2 y 0.70 | 0.58 0.12
20 » " Z 1.05 / 1.03 0.02 |
H " IV4 | |
From the IV:3-report the results from A7- and A8-models can be distinguished. Therefore a dis-
tinetion has also been made in the results of the y-parallax measurements. In table 5 p. 13 of the
[V:4-report the models number 1, 3, 4, 7, 8, and 9 (from above) emanate from A7-instruments. Con-
sequently, the averages of s,,, (the mean square values of residual y-parallaxes in 15 points of each
model) are: for the A7-models— 10.3 microns and for the A8-models— 13.3 microns. The corresponding
coordinate discrepancies to be expected on the ground and the confidence intervals can then be
computed from the expressions on p. 22 and 24 of the IV:4-report.
Table 3
" :4 :3 Aff, | 4 | ti |
Autogr. A7 LV:4 / LV:3 | Dirt Autogr. A8 | [V:4 | LV:3 | Diff |
| m | m | m | | m | m | m |
| pe : In RN a “|
| | | | |
7 mod. IV:3 x 0.67 0.56 | 0.11 7 mod. IV:3 | x| 0.86 | 0.64 | 0.22 |
" » | |
g " y 0.62 0.60 | 0.02 7 yl 080 | 0.55 | 0.25 |
10 . » Z 0.93 0.91 | 0.02 10. ” » Z | 1.20 | 1.16. | 0.04 |
| e: » Y | |
6 "7 JIV:4 | | | | 5 [V:4 EA | | |
Evidently the demonstrated results confirm the theoretical relations between residual y-parallaxes
and errors of the final coordinates. These relations are founded upon the method of least squares, its
laws for error propagation and the central limit theorem.
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