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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2038891b-1da1-4fac-91c5-dd8fac246fa2%2F47957f35-5804-419d-af17-46992eeb2040%2Faofwe29_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2038891b-1da1-4fac-91c5-dd8fac246fa2%2F47957f35-5804-419d-af17-46992eeb2040%2Fi1lhm7_processed.png&w=3840&q=75)
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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