1 / 39

ERLPM Workshop Statistical Analysis

33 rd Eastern Region Annual Airports Conference. ERLPM Workshop Statistical Analysis. Carl Steinhauer Consultant. Limit # of samples Statistical Analysis Estimate average and % within limits. Analysis % Taller than 5’-5” % between 5’-5” and 6’-5” Average Height. Overview.

burt
Download Presentation

ERLPM Workshop Statistical Analysis

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. 33rd Eastern Region Annual Airports Conference ERLPM WorkshopStatistical Analysis Carl Steinhauer Consultant

  2. Limit # of samples Statistical Analysis Estimate average and % within limits Analysis % Taller than 5’-5” % between 5’-5” and 6’-5” Average Height

  3. Overview P 401 Test Results Statistical Analysis; PWL Estimate Verify Production Process: Payment

  4. Theory • Assumptions • Normal Distribution • Tools: Average and Standard Deviation • Percent Within Limits (PWL) Concept

  5. Assumptions • Limited # of test results Statistical Analysis Quality characteristics of large amount of material • Test result variability Components: materials sampling-ERLPM testing-ERLPM • Same Process • Random sampling-Lot, Sublot • Normal Distribution

  6. Specific Procedures • Sublots, Lots, Partial Lots • Calculations • Retesting • Outliers

  7. 96 tests n=100

  8. x x+/- 1Sn=68% x+/-2Sn+95% x+/-3Sn+99.7%

  9. PWL-% of test result exceeding L L L=spec lower tolerance limit eg. Mat density 96.3 for P401

  10. PWL Calculation ProceduresERLPM-page 47 Section 110-AC 1505370-10C Method for Computing PWL and Examples Section 110-02 Spec. P401 Table 5: L and U Spec. Limits (page 24)

  11. Table 5: Marshall Acceptance Limits

  12. Given x1=2 x2=4 x3=6 x4=8 X = 2+4+6+8 = 5 4

  13. X=5 d1=2-5=-3 d1²=9 d2=4-5=-1 d2²=1 d3=6-5=1 d3²=1 d4=8-5=3 d4²=9 Sn= d1²+d2²+d3²=d4² n-1 Sn = 9+1+1+9 = 20 4-1 3 Sn =2.58 (calculator n-1)

  14. Roundout RulesERLPM-page 47 Example-last digit to be kept-nearest 10th 4.61 4.62 4.64 4.6500 4.66 4.67 4.68 4.69 Even Digit-same Odd Digit-increase by 1 This case becomes 4.6 If it was 4.7500 it would become 4.8 becomes 4.7

  15. MAT Density –One side density acceptance (Manual Appendix E, page 4) Sublot 1. = 96.0 2. = 97.0 3. = 99.0 4. = 100.0 x=98.0 Sn=1.8 QI=x-L Sn QI=98.0-96.3 = .9444 1.8 Section 110-Table l, N=4 PL=82 Quality Index. See Section 110-02f and Section 8  page 48 of ERLPM par 8.4.1 Spec Tables 5 page 50 ERLPM

  16. Mat Density -Two sided acceptance for density x=98.0 Sn=1.8 Qu= U-x Sn Qu=101.3-98.0 = 1.833 1.8 Section 110 (ERLPM page 48 par 8.4.2. and page 50 ) -Table l, N=4 PL= 100

  17. PWL calculation for two sided specification PWL= PL + PU-100 (ERLPM page 49  par 8.5.2 ) PWL= 82 + 100 – 100 = 82

  18. MAT Density PL = 82% Target Density 98.0 Achieved Sn=1.8 versus 1.3 98.0 18% 96.3 Acceptable QC Value as per P-401 spec. pg 24 last par

  19. MAT Density PL = 82% Target Density 98.0 Achieved Sn=1.8 versus 1.3 98.0 18% 96.3 101.3% Acceptable QC Value

  20. Effect of Quality Control Sn = 1.3 Spec. pg 24 Sn = 1.8 82 PWL 90 PWL 96.3% 98% x

  21. Air VoidsApp. D, page 3 Sublot 1= 2.1 2= 3.2 3=2.5 4=6.0 X= 3.4 Sn= 1.76 Spec. page 5 - 0.65

  22. QL = x-L = 3.4-2.0 = .7955 Sn 1.76 PL(table 1) = 77% n=4 QU= U-x = 5-3.4 = .909 Sn 1.76 PU(table 1) = 81% n=4 PWL= PL + PU-100 PWL= 77+81-100 = 58 page 50  of ERLPM

  23. Air Voids 58% 23% 19% 2 5 3.4 PWL= PL + PU-100 PWL= 77 + 81-100 =58

  24. Payment – One side for density TABLE 6. PRICE ADJUSTMENT SCHEDULE 1

  25. Payment – two sided for density TABLE 6. PRICE ADJUSTMENT SCHEDULE 1

  26. Payment Spec-par 401-8.1a-page 29 MAT Density PWL=82 Air Voids PWL= 58 Lot Pay Factor Air Voids- 1.4 x 58-12= 69.2% Mat Density- 0.5 x 82+55= 96% Use lower of 2 values- 69.2% Lower value

  27. Joint DensityAppendix E, page 5 93.3 95.0 97.0 96.0 X= 95.3 Sn= 1.58 QL= (95.3-93.3) = 1.2658 1.58 PL= 93 Spec. page 21 par. 401-5.2(b)(3) if < 71% there is a 5% penalty Table 5

  28. Partial Lotsspec page 20 Section P-401-5.1c

  29. Sample Problem Flow-Appendix D, page 5 Partial lot situation-6 sublots 8.0, 8.2, 8.5, 8.2, 8.9, 9.1 X= 8.5 Sn= 0.44 QL= x-L = 8.5-8.0 = 1.1364; PL= 88 (table 1 ERLPM n=6) Sn 0.44 QU= U-X = 16-8.5 = 18.75; PL= 100 Sn 0.44 PWL= 88 + 100-100= 88<90 Corrective Action! 401-5.2(b)(2)

  30. Outliers Spec -pg 23 401-5.2d -pg 25 401-5.3c MAT Density and Air Voids

  31. Test for Outliers MAT Density 94.0 96.0 97.0 98.0 x= 96.2 Sn= 1.71 QL= 96.2-96.3 = -.0585 1.71 PL= <50% ASTM E 178, par. 4 T1= (x-x1)/Sn T1= 96.2-94 = 1.286 1.71

  32. Table 1-ASTM E 178 • N=4 • Upper 5% significance level 1.463 • Since 1.286<1.463 the 94.0 test value is not considered an outlier and is retained!

  33. Sample Problem-Outliers Air Voids 2.0, 4.8, 4.9, 5.0 X=4.2 Sn=1.45 QL= 4.2-2.0 = 1.5172; PL= 100 1.45 QU= 5-4.2 = 0.5517; PU= 69 1.45 PWL= (100+69)-100=69 ASTM E 178 par. 4 Tn= (x-x1)/Sn = 4.2-2.0 = 1.517 1.45 Table 1, ASTM E 178, N=4, 5% significance T= 1.463<1.517 therefore 2.0 is the outlier and it is discarded

  34. Resampling401-5.3 page 25 MAT Density ONLY (Appendix E-pg 4) Prior MAT Density- 96, 97, 99, 100 PWL 82 4 new cores 96, 96, 97, 98 AVG-all 8, 97.4 Sn= 1.51 QL= x-L = 97.4-96.3 = .7337 Sn 1.51 Table 1, N= 8 PWL= 77

  35. Questions?

  36. Thanks!

More Related