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2.2 The Comparasion of the Capability of the Two Step
Iterations
Table 2 gives an example only observation 4 contained
gross error which can not be located by first step but
can be by second one.
TABLE 2 ONE GROSS ERROR LOCATION BY TWO STEP ITERATIONS METHOD
Point l1 2 3 4 5 6 7 8 9 10 | Noted in comprehehsive decision
| RET Si .°. 54 2.5 . | error vector = E
First litz6l .« |. T.T .. .- 8.5 3.0 . | gross error V,= 7
Step | iso: . 9 . . | point 4, 7 and 9 decided
| | Pol . . | as Type À observation.
| IMccvl .65 T8 81 |
| fv. 1.2 1.2 . 2.3 —. | point 4, 7, 9 weighted zero
jit=1l| $ | 4.1 -3.4 2.7 . | point 9 with good observation
| IMcevi ‚29 35 .82 . | point 4, 7 need further detection
Second ------------------7--7-7-7-7-7--7-7--7-7-----
Step | EA 1.7 .8 2.3 . | point 4, 7 weighted zero
|it=2| 8 | 5.8 -2.1 2.7 . | point 7 with good observation
| IMcovi .30 .35 82 . | point 4 contained gross error
| | v 1 5.3 .8 2.1 . | point 4 weighted zero
litz3l 9 - | 8.1 -2.0 2.4 . | gross error complete reveal
| IMccvl . .65 .35 82 . | in the residual
Noted symbol in Table 2 and 4 : Noted in the comprehensive decisions :
it = sequent number of the iteration, (1) The first step iterations,
when it = 1, taking P = I it = 6
V s standardized residual (2) The second step iterations,
v = weighted zero residual when MCCV > 0.5, take
ep = correlation coefficient of residuals critical value = 2.5
MCCV = main component coefficient of v when 0.5 > MCCV > 0.3, take
= the value is small nothing for decisions critical value = 1.5
Table 3 gives examples about the differences of capacity
of localizing two gross errors by two step iterations
method. In comparision with the first step iterations,
some mistakes decided in first step can be corrected in
second one.
TABLE 3 THE COMPARISION OF THE CAPACITY OF LOCATED GROSS
ERRORS BY TWO METHODS
Correlation | Two Gross errors | Two Gross errors
coefficient | located by two steps | located by first step
Ps = 0.88 | Viz 6, V,s-6 | point 5 correct
| point 8, 9 wrong
Pa = 0.88 | V,* -12, V,* -12 | point 7 correct
| | point 4, 1 wrong
Pu= 0.55 | 7, = -15, V,= 15 | point 1 correct
| | point 6, 9 wrong
Pr = -0.25 | Vis -8, V,= -8 | point 1 correct
| point 8, 5, 9 wrong