# LIST OF FIGURES

Figure A-1 | Examples of simulation results using lognormal probability distributions with CV equal to 2 and 4, increments of 15 and 30, replicates ranging from 2 to 7, and two 95% UCL calculation methods (Cheby = Chebyshev; t-UCL = Student’s-t) |
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Figure A-2 | Example of a map with high spatial autocorrelation (Moran’s I z-score =3.8). Throughout the entire DU (all grid cells combined), the population mean is 8,564 and standard deviation is 6,507 (CV = 0.7) |

Figure A-3 | Spatial distributions and histograms of concentrations for two simulated sites |

Figure A-4 | Standard incremental sampling using a systematic grid sampling approach and each column represent a differing number of increment per IS and each row depicts the differing number of IS that were gathered |

Figure A-5 | Standard incremental sampling using a random grid sampling approach and each column represent a differing number of increment per IS and each row depicts the differing number of IS that were gathered |

Figure A-6 | Grouped incremental sampling using a systematic grid sampling approach and each column represent a differing number of increment per IS and each row depicts the differing number of IS that were gathered |

Figure A-7 | Grouped incremental sampling using a random grid sampling approach and each column represent a differing number of increment per IS and each row depicts the differing number of IS that were gathered |

Figure A-8 | Discrete sampling using a systematic grid (top row) and random grid (bottom row) sampling approaches and each column represent a differing number of increments or discrete samples (from left to right 9, 16, 30, and 100 samples per evaluation) |

Figure A-9 | Histogram of the calculated UCL values using a simulated data set with 2,000 iterations |

Figure A-10 | A coverage plot comparing systematic grid (with random start), random grid, and simple random sampling for the RDX DU (M2-A) and HMX DU (M2-B) when 2, 3, 4 or 5 IS are collected from the DU |

Figure A-11 | Plot of the coverage statistics for each of the simulated sampling patterns as applied to the RDX DU (note: the different sampling patterns are displayed within the plot as well as UCL type) |

Figure A-12 | Panel of histograms of the distribution of t-UCL values for the 2,000 simulations |

Figure A-13 | A comparison of the distribution of means for grouped and standard IS designs using the RDX DU (note: results are similar for all other DUs) |

Figure A-14 | Plot of the coverage statistics for each of the simulated sampling patterns as applied to the HMX decision unit and the different sampling patterns are displayed within the plot as well as UCL type |

Figure A-15 | Panel of histograms of the distribution of t-UCL values for the 2,000 simulations |

Figure A-16 | Post plot for Scenario M3-A representing a shooting range with a central target area (mean concentration = 492 mg/kg) |

Figure A-17 | Scenario M3-A normal distribution Q-Q plot of concentrations of particulates |

Figure A-18 | Post plot for Scenario M3-B representing a homogeneous DU with mean of 200 mg/kg. Concentrations follow a gamma distribution (shape = 0.2, scale =1,000) |

Figure A-19 | Scenario M3-B normal distribution Q-Q plot of concentrations |

Figure A-20 | Post plot of Ra 226 readings obtained from a real site (Scenario M3-C) |

Figure A-21 | Serpentine pattern applied to one quadrant of a DU |

Figure A-22 | Systematic random grid pattern with a random start |

Figure A-23 | Simple random sampling pattern |