Skip to main content

Forensic Analysis Weighing Bullet Lead Evidence (2004) / Chapter Skim
Currently Skimming:

Appendix G: Data Analysis of Table 1, Randich et al.
Pages 151-156

The Chapter Skim interface presents what we've algorithmically identified as the most significant single chunk of text within every page in the chapter.
Select key terms on the right to highlight them within pages of the chapter.


From page 151...
... 1) paper is based on an analysis of compositional data provided by two secondary lead smelters to bullet manufacturers on their lead alloy shipments.
Read the entire page →
From page 152...
... Table G.1 below provides the results of the two-way analysis of variance with two factors, position and lot, for each element. The variances of the effects, scaled to the level of a single observation, are given in the column headed "Mean Sq"; the ratio of the mean squares is given under "F Value"; and the P value of TABLE G.1 Analyses of Variance for Log(Measurement)
Read the entire page →
From page 153...
... ". For comparison, the equivalent mean square under the median polish analysis is also given; notice that, for the most part, the values are consistent with the mean squares given by the conventional analysis of variance, except for Sn, for which the mean square for position is almost 6 times smaller under the median polish (1.351 versus 0.2345~.
Read the entire page →
From page 154...
... Sb 423 424 425 426 427 429 444 445 446 447 448 1 -7 0 -4 -10 6 0 19 7 1 -15 0 2 0 0 0 0 -3 -1 0 -3 0 1 3 3 9 -104 2 24 0 6 -5 0 -8 0 -5 Column Effect -40 6 12 27 -56 57 34 -53 1 13 38 450 451 452 453 454 455 456 457 458 459 460 1 -10 -1 -3 0 0 0 0 -2 0 -5 -4 2 0 0 0 1 8 -4 -9 2 3 0 0 3 3 11 8 -48 -33 12 5 0 -3 2 44 Column Effect -16 -35 -9 -1 57 -53 -34 47 -49 52 -12 461 463 464 465 466 467 Row Effect 1 66 0 0 1 0 4 0 2 -5 -5 -4 0 -8 0 0 3 0 5 0 -21 10 -2 -6 Column Effect -32 53 -34 -37 23 1 6559 Sn 423 424 425 426 427 429 444 445 446 447 448 1 0 0 0 -41 144 -45 271 0 0 0 -179 2 127 69 -27 0 -192 0 0 4 61 -55 0 3 -120 -2800 11 148 0 60 -53 -42 -15 168 9 Column Effect -1050 371 -625 672 -2909 1442 -659 -408 -884 -618 108 450 451 452 453 454 455 456 457 458 459 460 1 0 605 -22 1428 0 -45 -6 240 41 -77 -5 2 -9 0 0 -112 42 0 28 -30 0 0 0 3 201 -313 83 0-1944 99 0 0 -176 88 139 Column Effect -122 -2328 -942 -5474 277 338 203 -1067 -349 849 787 461 463 464 465 466 467 Row Effect 1 -22 -65 0 436 0 -54 69 2 0 0 53 -71 -4 0 0 3 118 112 -443 0 95 68 -112 Column Effect 908 933 938 -117 846 560 5586 Two unusual residuals: Lot #424, "E" = 21 (B = 414, M = 414)
Read the entire page →
From page 155...
... APPENDIX G TABLE G.2 continued Cu 423 424 425 426 427 429 444 445 446 447 448 1 -166 -19 -18 93 -2 -13 0 -8 0 0 106 2 0 0 0 0 0 0 2 0 35 34 -23 3 12 51 0 -121 0 0 -38 0 -43 -21 0 Column Effect 607 258 -94 418 80 -424 436 269 441 307 -1106 450 451 452 453 454 455 456 457 458 459 460 1 -16 -27 -37 44 0 27 76 13 0 -53 -2 2 0 0 0 0 52 -5 0 0 2 0 0 3 0 24 0 0 -470 0 0 0 -5 49 288 Column Effect 30 -495 -1523 -30 630 448 330 30 50 -1894-2405 461 463 464 465 466 467 Row Effect 1 -2 691 0 -242 13 -24 2 2 0 0 -28 10 -31 0 0 3 19 0 857 0 0 11 0 Column Effect -958 -4890 -1365 -255 -700 -357 As 423 424 425 426 427 429 444 445 446 447 448 1 1-166 -19 -18 93 -2 -13 0 -8 0 0 106 2 0 0 0 0 0 0 2 0 35 34 -23 3 12 51 0 -121 0 0 -38 0 -43 -21 0 Column Effect 607 258 -94 418 80 -424 436 269 441 307 -1106 450 451 452 453 454 455 456 457 458 459 460 1 -16 -27 -37 44 0 27 76 13 0 -53 -2 2 0 0 0 0 52 -5 0 0 2 0 0 3 0 24 0 0 -470 0 0 0 -5 49 288 Column Effect 30 -495 -1523 -30 630 448 330 30 50 -1894-2405 461 463 464 465 466 467 Row Effect 1 -2 691 0 -242 13 -24 2 2 0 0 -28 10 -31 0 0 3 19 0 857 0 0 11 0 Column Effect -958 -4890 -1365 -255 -700 -357 4890 Bi 423 424 425 426 427 429 444 445 446 447 448 1 0 -11 0 0 10 -10 0 10 0 0 0 2 -10 0 0 0 0 0 0 0 0 9 0 3 0 0 0 10 0 0 0 0 0 0 0 Column Effect -5 -78 -46 -25 -25 -35 15 15 63 90 15 450 451 452 453 454 455 456 457 458 459 460 1 0 -9 0 52 0 0 0 0 0 0 0 2 -9 0 10 0 0 -11 0 0 0 0 0 3 0 9 0 -11 -21 0 11 0 0 10 10 Column Effect 53 90 -25 -67 -35 -67 -67 34 25 34 15
Read the entire page →
From page 156...
... W Exploratory Data Analysis; Addison-Wesley: Reading, MA, 1977.
Read the entire page →

Key Terms

  • measurement error
  • usually estimated
  • error term
  • single observation
  • mean squares

  • typical effect
  • conventional analysis
  • overall mean
  • bullet manufacturers
  • lead smelters

  • robust estimates
  • lot effects
  • data provided
  • column effect
  • estimated error

  • position effects
  • results multiplied
  • secondary lead
  • affect sample
  • residual mean

  • anticipated measurement
  • particular effect
  • equivalent mean
  • data include
  • position affects

  • sample means
  • compositional data
  • avoid decimal
  • lead alloy
  • column headed


    • This material may be derived from roughly machine-read images, and so is provided only to facilitate research.
    More information on Chapter Skim is available.