P&K 3950

Sample: Dust concentration measurement system

Line 1, blende No 3 (18,5), range 2

Date Begin End Duration Analyzer output current Dust concentration, standard, op-O2 Dust concentration, operate, op-O2 Dust concentration, standard, 11% O2 Status Temperatur Humidity O2-Content
[] [] [] [min] [mA] [mg/m³] [mg/m³] [mg/m³] [] [°C] [%] [Vol.%]
17.08.99 13:40 14:12 32 8.02 15.4 8.8 13.9 Filter defect simulation 105 21.1 9.9
17.08.99 14:17 14:57 40 8.88 18.6 10.6 16.9 Filter defect simulation 105 21.1 10
17.08.99 15:01 15:31 30 6.52 9.1 5.2 8.3 Filter defect simulation 105 21.1 10.1
17.08.99 15:58 16:29 31 4.35 0.5 0.3 0.5 Normal operation 105 21.1 10
17.08.99 16:33 17:04 31 4.33 0.5 0.3 0.5 Normal operation 105 21.1 10.3
18.08.99 08:28 09:01 33 4.27 0.5 0.3 0.5 Normal operation 102 20.636 10.4
18.08.99 09:11 09:44 33 4.36 0.5 0.3 0.5 Normal operation 103 20.636 10.6
18.08.99 11:02 11:33 31 9.64 20 11.6 19.2 Filter defect simulation 102 20.636 10.6
18.08.99 11:43 12:14 31 11.74 29.5 17.0 28.1 Filter defect simulation 103 20.636 10.5
18.08.99 12:17 12:48 31 10.93 26.4 15.3 23.8 Filter defect simulation 102 20.636 9.9
18.08.99 15:51 16:22 31 7.77 12.6 7.1 12.0 Filter defect simulation 103 22.845 10.5
18.08.99 16:28 16:57 29 7.33 11.9 6.7 10.7 Filter defect simulation 103 22.845 9.9
19.08.99 08:41 09:12 31 9.97 24.1 14.0 21.7 Filter defect simulation 102 20.24 9.9
19.08.99 09:53 10:24 31 9.61 20.7 12.0 20.7 Filter defect simulation 102 20.24 11
19.08.99 10:32 11:09 37 9.48 22.6 13.1 21.9 Filter defect simulation 102 20.24 10.7
19.08.99 11:24 11:59 35 11.17 31.9 18.4 29.3 Filter defect simulation 104 20.24 10.1
19.08.99 12:37 13:08 31 10.6 28.3 16.3 27.7 Filter defect simulation 104 20.24 10.8
      0 4 0 0.0 0.0 Zero point hypothesis 0 0 0
      0 4 0 0.0 0.0 Zero point hypothesis 0 0 0

op-O2: relative to state of operation at water content 0.213 kg/m³, at present O2 content.

Characteristics

Function: y'=B*x+C

Coefficients
b
c
2.358
-9.961
Scatters 0.8341
Determination coefficient  0.9849
Average value
xm
ym
7.735
8.279
Calculated values
Sxx
Syy
Sxy
138.8
783.7
327.4

List of function values

xy'Confidence intervalTolerance interval n'
  y1y2y3y4 
4.0000-0.529-1.2180.1599-2.9841.92576.5302
4.78101.31270.71441.9110-1.1033.72878.6580
5.56203.15432.63613.67250.76875.539911.540
6.34304.99594.54175.45022.63197.360015.016
7.12406.83766.42357.25164.48589.189318.076
7.90508.67928.27459.08386.330211.02818.925
8.686010.52110.09310.9498.164912.87716.908
9.467012.36211.88312.8429.990214.73513.471
10.24814.20413.65314.75511.80616.60210.192
11.02916.04615.40916.68213.61418.4787.6465
11.81017.88717.15718.61815.41420.3615.8061

Confidence interval:

Valid for 95.0 percentage statistical certainty with table value t(17)= 2.1106

Tolerance interval:

Valid for 95.0 percentage statistical certainty with table value v(17)= 1.4004 and a share (1-gamma)=95.0 % of the entire collective

Function comparison (significance test)

Coefficients and scatter of the function:

StatementFunctionsABC
1y'=B*x+C 0.8341 2.358 -9.961
2y'=A*x²+B*x+C 0.7848 0.06224 1.427 -6.942
3y'=B*ln(x)+C 1.406 16.07 -23.45
4y'=A*ln²(x)+B*ln(x)+C 0.7667 12.25 -30.22 18.32
5y'=B*exp(x)+C 4.674 1.459E-04 5.419
6y'=A*exp²(x)+B*exp(x)+C 3.307 -2.668E-09 4.309E-04 3.579

The quadratic regression formula cannot be assumed as better than the linear one.

Test value:3.2008
Table value F(16):4.4975
Statistical certainty:95%

Only statement 1 and 2 are compared.

Characteristics / limits

  (State of operation)   (Standard state)
Name Factor Type Y-value Y(Type) delta Y X Y-value Y(Type) delta Y
G 1 -- 24.727     14.710 40.297    
G+V 1 +V 24.727 25.914 1.1876 15.214 40.297 42.233 1.9354
1.2G+V 1.2 +V 29.672 31.179 1.5073 17.446 48.356 50.812 2.4564
2G+T 2 +T 49.454       80.595    
(n'<2)   +T 24.111 2.7504 26.861 15.616 39.294 43.776 4.4823
5%G 0.05 -- 1.2363     4.7491 2.0148    
10%G 0.1 -- 2.4727     5.2728 4.0297    

Permited limits at 11%O2
Conversion factor = 1.6297


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