Preface | |
Acknowledgments | |
Acronyms | |
Normal Prediction Intervals | |
Overview | |
Prediction Intervals for the Next Single Measurement from a Normal Distribution | |
Prediction Limits for the Next k Measurements from a Normal Distribution | |
Normal Prediction Limits with Resampling | |
Simultaneous Normal Prediction Limits for the Next k Samples | |
Simultaneous Normal Prediction Limits for the Next r of m Measurements at Each of k Monitoring Wells | |
Normal Prediction Limits for the Mean(s) of m | |
Future Measurements at Each of k Monitoring Wells | |
Summary | |
Nonparametric Prediction Intervals | |
Overview | |
Pass 1 of m Samples | |
Pass m - 1 of m Samples | |
Pass First or all m - 1 Resamples | |
Nonparametric Prediction Limits for the Median of m Future Measurements at each of k Locations | |
Summary | |
Prediction Intervals For Other Distributions | |
Overview | |
Lognormal Distribution | |
Lognormal Prediction Limits for the Median of m Future Measurements | |
Lognormal Prediction Limits for the Mean of m Future Measurements | |
Poisson Distribution | |
Summary | |
Gamma Prediction Intervals And Some Related Topics | |
Overview | |
Gamma Distribution | |
Comparison of Gamma mean to a Regulatory Standard | |
Summary | |
Tolerance Intervals | |
Overview | |
Normal Tolerance Limits | |
Poisson Tolerance Limits | |
Gamma Tolerance Limits | |
Nonparametric Tolerance Limits | |
Summary | |
Method Detection Limits | |
Overview | |
Single Concentration Designs | |
Calibration Designs | |
Summary | |
Practical Quantitation Limits | |
Overview | |
Operational Definition | |
A Statistical Estimate of the PQL | |
Derivation of the PQL | |
A Simpler Alternative | |
Uncertainty in Y¿* | |
The Effect of the Transformation | |
Selecting N | |
Summary | |
Interlaboratory Calibration | |
Overview | |
General Random Effects Regression Model for the Case of Heteroscedastic Measurement Errors | |
Estimation of Model Parameters | |
Applications of the Derived Results | |
Summary | |
Contaminant Source Analysis | |
Overview | |
Statistical Classification Problems | |
Nonparametric Methods | |
Summary | |
Intra-Well Comparison | |
Overview | |
Shewart Control Charts | |
(CUSUM) Control Charts | |
Combined Shewart-CUSUM Control Charts | |
Prediction Limits | |
Pooling Variance Estimates | |
Summary | |
Trend Analysis | |
Overview | |
Sen Test | |
Mann-Kendall Test | |
Seasonal Kendall Test | |
Some Statistical Properties | |
Summary | |
Censored Data | |
Conceptual Foundation | |
Simple Substitution Methods | |
Maximum Likelihood Estimators | |
Restricted Maximum Likelihood Estimators | |
Linear Estimators | |
Alternative Linear Estimators | |
Delta Distributions | |
Regression Methods | |
Substitution of Expected Values of Order Statistics | |
Comparison of Estimators | |
Some Simulation Results | |
Summary | |
Normal Prediction Limits For Left-Censored Data | |
Prediction Limit for Left-Censored Normal Data | |
Simulation Study | |
Summary | |
Tests For Departure From Normality | |
Overview | |
A Simple Graphical Approach | |
The Shapiro-Wilk Test | |
Shapiro-Francia Test | |
D'Agostino Test | |
Methods Based on Moments of a Normal Distribution | |
Multiple Independent Samples | |
Testing Normality in Censored Samples | |
The Kolmogorov-Smirnov Test | |
Summary | |
Variance Component Models | |
Overview | |
Least-Squares Estimators | |
Maximum Likelihood Estimators | |
Summary | |
Detecting Outliers | |
Overview | |
Rosner Test | |
Skewness Test | |
Kurtosis Test | |
Shapiro-Wilk Test | |
Em statistic | |
Dixon Test | |
Summary | |
Surface Water Analysis | |
Overview | |
Statistical Considerations | |
Statistical Power | |
Summary | |
Assessment And Corrective Action Monitoring | |
Overview | |
Strategy | |
LCL or UCL? | |
Normal Confidence Limits for the Mean | |
Lognormal Confidence Limits for the Median | |
Lognormal Confidence Limits for the Mean | |
Nonparametric Confidence Limits for the Median | |
Confidence Limits for Other Percentiles of the Distribution | |
Summary | |
Regulatory Issues | |
Regulatory Statistics | |
Methods to be Avoided | |
Verification Resampling | |
Interwell versus Intrawell Comparisons | |
Computer Software | |
More Recent Developments | |
Summary | |
Topic Index | |
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