1/13 Instrument Calibration I: 1st Order Calibration Curves
Miller & Miller: Sections 5.1-5.6, Homework: Chap 5 Exercises 2,3,4
Calibration graphs in instrumental analysis
Product-moment correlation coefficient
Regression of y on x
Calculation of concentration and its random error
Linest Excel Function (Harris Section 4.7)
Problem Set 1: "Cadmium Calibration Problem"
1/20 Instrument Calibration II: ANOVA, Regression Calculations, Curvilinear Regression Methods
Miller & Miller: Sections 5.12-5.14, Homework: Chap 5 Exercises 9,11
Variance, Sum of Squares (SS), and Degrees of Freedom (DOF)
Total Sum Squares (SStot), Regression SS (SSregr), Residual SS (SSres), and Coefficient of Determination (R2)
Replicate Sum of Squares (SSrepl) and Lack of Fit Sum of Squares (SSlof)
Curvilinear regression methods
Calculation of unknown concentrations from nonlinear curves (Harris Box 4-2)
Problem Set 2: "Sum of Squares Calculation," Sum of Squares Classroom Handout
1/27 Instrument Calibration III: Limits of Detection, the Method of Standard Addition Class Example
Miller & Miller: Sections 5.7-5.8, Homework: Chap 5 Exercises 5,6,7
Limits of detection
Method of standard additions
2/3 Instrument Calibration IV: Internal Standard Methods of Quantitation Class Example
Internal standard (IS) methodology (Harris 5-4)
Response factor IS methods
Response ratio IS methods
2/10 Descriptive Statistics I: Sec 2.1-2.6
Mean and standard deviation
Distribution of repeated measurements
Log-normal distribution
Sample definition and sampling distribution of the mean
Confidence limits of the mean for large samples
2/17 Calibration Quiz
2/24 Descriptive Statistics II: Sec 2.7-2.12
Homework: Chap 2 Exercises 3,4,5,8,
Confidence limits of the mean for small samples
Presentation of results and uses of confidence limits
Confidence limits of a log-normal distribution
Propagation of error
3/3 Inferential Statistics: Sec 3.1-3.6,
Homework: Chap 3 Exercises 1,2,3,4,6
Homework: Problem Set 5, Data Set 1 Download
Comparison of experimental mean with known value
Comparison of two experimental means
Paired t-test
One-sided and two-sided tests
F-Test for the comparison of standard deviations
Outliers
3/10 No Class
3/24 Analysis of Variance: Sec 3.8-3.10, 7.1-7.5
Homework: Chap 3 Exercises 5,7,9,11
Analysis of variance (ANOVA)
The arithmetic of ANOVA calculations
Two-way ANOVA
Two-way ANOVA with interaction
3/31 Analytical Quality I: Sec 4.1-4.7C
Sampling
Separation and estimation of variances using ANOVA
Sampling strategy
Quality control methods
Shewhart control charts for mean values and ranges
PS 6: Miller 3.4, 3.6, 3.11, 3.13, 7.2, 7.5 (for 3.11 & 7.2, also manually calculate in spreadsheet SS, MSS, F’s)
4/7 Analytical Quality II: Sec 4.8-4.13
Establishing process limits and capability
Average run lengths and cumulative sum charts
Proficiency testing schemes
Collaborative trials
Uncertainty
4/14 TBA
4/21 TBA
4/27 Cumulative Final Examination 11:30 AM