||Statistical comparison of two data sets. Calculations include; mean, standard deviation (population and sample), and confidence intervals for each data set. Then comparison of means using t-test and pooled standard deviation.
||Calculations include; mean, standard deviation (population and sample), confidence interval, and comparison to "true" value.
||Properties of a gaussian distribution. Shape of distribution, area under distribution (integration and graphs).
||Calibration examples with descritpive information. Includes; linear regression, uncertainty of regression, unknown, graphs, and an example of error propagation.
||Based upon calibration example document, but with large fonts for lecture use.
||Linear Regression calculations for a calibration curve. Calculates line of best fit, uncertainty of regression, concentration of unknown (based upon response), and uncertainty in calculated concentration of unknown. Data is graphed.
||Regression analysis using 1st, 2nd, 3rd, 4th and 5th order regression. Regression analysis performed using matrix techniques. For each order data is graphed with regression fit.
|Standard Addition Example
||Document introduces standard addition using an easy to follow example (The M&M Mystery) and then shows calculations for a typical calibration problem.
|Signal Averaging and Filters
||Shows the effect of averaging and filtering on the observed signal. User may set signal, noise, averaging, and filter parameters.