·         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 Box 4-2)

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)

o        Problem Set 3

 

·         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"

§         Data Set 1 Download

 

·         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        Download Data Sets

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