· 1/12 Week 1: Calibration Curves
o Calibration graphs in instrumental analysis (Harris 4.8)
o Curvilinear regression methods
o Calculation of concentration and its random error
o
Calculation
of unknown concentrations from nonlinear curves (Harris
o Linest Excel Function (Harris Section 4.7)
o Problem Set 1: "Cadmium Calibration and Curvilinear Regression"
· 1/26 Week 2: Degrees of Freedom, Analysis of Variance, and Comparison of Errors
o Calibration experimental design
o Variance, Sum of Squares (SS), and Degrees of Freedom (DOF)
o Total Sum Squares (SStot), Regression SS (SSregr), Residual SS (SSres), and Coefficient of Determination (R2)
o Replicate Sum of Squares (SSrepl) and Lack of Fit Sum of Squares (SSlof)
o Problem Set 2: "Sum of Squares Calculation," Sum of Squares Classroom Handout
· 2/2 Week 3: Internal Standard Quantitative Methods, Detection Limits, Class Example
o Internal standard (IS) methodology (Harris 5-4)
o Response factor IS methods
o Response ratio IS methods
o Limits of detection (Harris 5-2)
· 2/9 Week 4: Standard Addition Quantitative Method Class Example
o Method of standard additions (Harris 5-3)
o Problem Set 4: Class handout
· 2/16 Week 5: Error Propagation and Detection Limit Calculations
o Propagation of Uncertainty from Random Errors (Harris 3-4)
o Review of 1st and 2nd order calibration, internal standard, and standard addition methods
o Detection limit calculations
· 2/23 Week 6: Calibration Quiz: Calibration Test Data
· 3/9 Week 7: Descriptive Statistics
o Basic Statistical Concepts, Harris (4-1, 4-2)
o Mean, median, standard deviation, variance, covariance, correlation coefficient
o Normal distribution, Log-normal distribution
o Confidence limits
o Presentation of results and uses of confidence limits
o Homework: Problem Set: "Statistical Analysis of Charlotte-Rock Hill Air Quality Data"
· 3/23 Week 8: Inferential Statistics
o Harris (4-3, 4-4, 4-5, 4-6)
o p values
o t-tests: experimental mean with known value, two experimental means, paired t-test
o One-sided and two-sided tests
o F-Tests
o Outliers and Q tests
o Conclusions from significance tests
· 3/30 Week 9: Analytical Quality
o Harris: Chapter 5
o False positive (alpha) errors, false negative (beta) errors
o Detection Limit (DL), Limit of Quantification (LOQ), reporting of “No-detect” results
o Standard Reference Materials
o Quality Samples: Blanks (reagent, method, field), Spikes (Calibration check, Extract, Sampling Media)
o Statistical Process Control (SPC), Shewhart Mean and Range Control Charts
o Interlaboratory Proficiency Testing
o Homework: Problem Set “Control Chart Problem”
· 4/6 Week 10: Multivariable Regression
· 4/13 Week 11: Matrix Algebra
o An Introduction to Linear Algebra an outstanding overview from Eigenvector Research, Inc.
· 4/20 Week 12: Introduction to Matlab and Multiple Linear Regression (MLR)
o Homework: Multiple Linear Regression of PAH case study data from Tables 5.1 and 5.2
· 4/27 Week 13: Introduction to Principal Components Analysis (PCA)
o Eigenvalues, loadings, and scores
o Loadings and scores plots
o Homework: Principal Components Analysis of Elemental Properties
o Final exam topics
· 4/29 Cumulative Final Examination 11:30 AM Wednesday April 29, 2009