The effect of initial data in adjusting conditional observations

Summary In the introduction the effect of neglecting the accuracy of the initial data is mentioned in adjusting conditional observations, because this essentially causes the accuracy of the adjusted quantities to be overrated. The effect of changes (errors) of the initial data is investigated for two cases: a) when the initial data are given, unmeasured quantities; b) when the initial data are given and measured quantities which form the conditions of adjustment (e.g., gyrotheodolite directional angles). This effect was rejected in a change of the corrections, in the vrst case according to (14), and in the second according to (18). The effect of the changes (errors) of the initial data was also investigated with regard to the matrix of the co-factors of the adjusted quantities. This matrix, taking into account the errors of the initial data described by matrixQww, and the errors of the measurements themselves, described by matrix (26), is expressed by (31).Dedicated to 90th Birthday of Professor Frantiek Fiala