I want to find with abbe test the Sd and S(critical statistic ) with these data like an the example in the picture excel. R2, Om 3.735 3.74 3.745 3.755 3.715 3.725 3.695 3.715 3.726 3.715 3.685 3.725 3.735 3.688 3.745 3.745 3.725   X_MEAN 3.72435   (X - X ) 0.010647059 0.015647 0.020647 0.030647059 -0.00935 0.000647 -0.02935 -0.00935 0.001647 -0.00935 -0.03935 0.000647 0.010647 -0.03635 0.020647 0.020647 0.000647         (X - X ) 0.00011336 0.000245 0.000426 0.000939242 8.75E-05 4.19E-07 0.000862 8.75E-05 2.71E-06 8.75E-05 0.001549 4.19E-07 0.000113 0.001322 0.000426 0.000426 4.19E-07   S 0.020445

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I want to find with abbe test the Sd and S(critical statistic ) with these data like an the example in the picture excel.

R2, Om 3.735 3.74 3.745 3.755 3.715 3.725 3.695 3.715 3.726 3.715 3.685 3.725 3.735 3.688 3.745 3.745 3.725   X_MEAN 3.72435  
(X - X ) 0.010647059 0.015647 0.020647 0.030647059 -0.00935 0.000647 -0.02935 -0.00935 0.001647 -0.00935 -0.03935 0.000647 0.010647 -0.03635 0.020647 0.020647 0.000647        
(X - X ) 0.00011336 0.000245 0.000426 0.000939242 8.75E-05 4.19E-07 0.000862 8.75E-05 2.71E-06 8.75E-05 0.001549 4.19E-07 0.000113 0.001322 0.000426 0.000426 4.19E-07   S 0.020445  
Let's use a statistical criterion for detecting Progressing
Systematic Error: sheet3 "Abbe Test".
// Calculate the value of critical statistics here
14 2. Calculation of critical statistics:
15
16
17
18
19
20
21 R4, Om (XI-X)²
22 3,731
3,481E-09
$2
d=5 Sa
23 3,754 0,0005263
24
0,0001944
3,745
25 3,755 0,0005732
26 3,735
1,553E-05
27
3,681
0,0025059
28
3,745
0,0001944
29 3,715 0,0002579
30 3,726 2,559E-05
31 3,715 0,0002579
32 3,753 0,0004814
33 3,717 0,0001977
34
0,0002579
3,715
35 3,742 0,0001197
36 3,74 7,994E-05
37 3,745 0,0001944
38 3,714 0,000291
V
1
2(n-1)
2
( X ₁+₁-X ₁ ) ²
(X₁+1-X₁)²
0,000529
8,1E-05
1E-04
0,0004
0,002916
0,004096
0,0009
0,000121
0,000121
0,001444
0,001296
4E-06
0,000729
4E-06
2,5E-05
0,000961
X =
S =
Sd=
Š =
S=
2
(X₁-X)
n-1
32.
Á
3,73106
Om
0,00039
Om
0,00043 Om
1,11187 critical statistics
9
Transcribed Image Text:Let's use a statistical criterion for detecting Progressing Systematic Error: sheet3 "Abbe Test". // Calculate the value of critical statistics here 14 2. Calculation of critical statistics: 15 16 17 18 19 20 21 R4, Om (XI-X)² 22 3,731 3,481E-09 $2 d=5 Sa 23 3,754 0,0005263 24 0,0001944 3,745 25 3,755 0,0005732 26 3,735 1,553E-05 27 3,681 0,0025059 28 3,745 0,0001944 29 3,715 0,0002579 30 3,726 2,559E-05 31 3,715 0,0002579 32 3,753 0,0004814 33 3,717 0,0001977 34 0,0002579 3,715 35 3,742 0,0001197 36 3,74 7,994E-05 37 3,745 0,0001944 38 3,714 0,000291 V 1 2(n-1) 2 ( X ₁+₁-X ₁ ) ² (X₁+1-X₁)² 0,000529 8,1E-05 1E-04 0,0004 0,002916 0,004096 0,0009 0,000121 0,000121 0,001444 0,001296 4E-06 0,000729 4E-06 2,5E-05 0,000961 X = S = Sd= Š = S= 2 (X₁-X) n-1 32. Á 3,73106 Om 0,00039 Om 0,00043 Om 1,11187 critical statistics 9
Abbe Test
2. Calculation of critical statistics:
s²
where
S
d
S=
=
1
2(n-1)
||
n-1
Σ/Χ.
2
n (X₁-X) ²
n-1
Š
-x;) ²
¹i+]¯X.
X - the arithmetic mean of a series of measurement results
Transcribed Image Text:Abbe Test 2. Calculation of critical statistics: s² where S d S= = 1 2(n-1) || n-1 Σ/Χ. 2 n (X₁-X) ² n-1 Š -x;) ² ¹i+]¯X. X - the arithmetic mean of a series of measurement results
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