Identifiability of partial combinational permutation intercomparison in checking angular bias

To solve the identifiability of partial combinational permutation intercomparison in checking angular bias of the regular polygon and the angle dividing table, aiming at prime-sided polygon and composite-sided polygon respectively, the checking series selecting was studied. At first, the prime-sided polygon checking series was studied, the conclusion was drawn that arbitrary two or above series combinatory measurement could identify the angular biases of the regular polygon and the angle dividing table. While aiming at composite-sided polygon, if the difference between the numbers of the two checking series is the factor (or integer times of the factor) of the side number of the polygon, the biases are not identifiable. The multi-series selecting problem was also researched. According to the practical measurement data about 23-sided and 24-sided polygon, checking accuracy appraisal of identified biases was studied. The theoretical standard deviation and the practical calculated standard deviation were given. The results show that only the number of measurement data should be four times greater than the number of the identified bias, the statistic standard deviation will be effective.