333 lecture

pdf

School

Concordia University *

*We aren’t endorsed by this school

Course

312

Subject

Chemistry

Date

May 21, 2024

Type

pdf

Pages

5

Uploaded by DrPencil7337

Report
1
E XPERIMENT 1 Statistics and Data Processing Purpose: The goal of this experiment is to familiarize yourself with the practice of calibrations, limit of detection, limit of quantification and measurement uncertainty calculation through error propagation. The methods you learn in this lab are to be used for all other Chem 312 labs. Theory: All of the experiments you will be doing in this course will require some form of data analysis. Measurements performed in the laboratory always contain a certain amount of uncertainty (noise or random error, systematic will be considered worthless in this course. The theory you need to know to write your lab report (see “Calculations” Section) is available in the “ Statistics and Data Analysis” package available from the Moodle site. This material should also have been covered, in part or in whole, in your class. Your textbook has an extensive chapter on statistics, and introductory statistics are nicely presented in Harris’ textbook (see References for details). NOTE: Check- out the worked example in the “ Statistics and Data Analysis” package available from the Moodle site. You should reproduce this worked example to test to see if you are doing your calculations correctly then move onto the data provided for this lab! Materials, chemicals and instruments: Set of data Spreadsheet program (Excel or other) Procedure: Solution(s) preparation: N/A
E XPERIMENT 1: Statistics and Data Processing 12 Measurements: Your dataset will be provided on Moodle. This data represents typical measurements that you will encounter in many of the labs in 312. If you develop your spreadsheet carefully you will be able to reuse it for all of the other experiments! Calculations: (before beginning these, READ THE STATS MANUAL) Use a 95% confidence level for all tests performed, unless otherwise specified. 1) Plot your calibration data (signal vs concentration). Do not forget to title your graph and your axes. Be 2) A to E using a G or Q test. 3) Examine your calibration data points. Are some of them potential outliers? Would you eliminate them? Why or why not? 4) Perform a linear regression on the calibration data to obtain the calibration coefficients (slope, intercept, and error Excel will provide many parameters, report only those you use in the calculations below). 5) Calculate the detection and quantification limits (see book for definitions). Do not forget to include units in your calculations and results. 6) Calculate the concentrations of samples A to E, including appropriate confidence intervals. (This is your best estimate of where the “true” value sits. See the example in the stats manual. This is more than just the value +/- the std. dev.) 7) Is there a significant difference between the concentrations (not the signals) of samples C and D? Careful here, we are really asking is there a difference between this small group and that small group? At what level of confidence does the difference become significant (there is a specific Excel function for calculating this)? 8) Compare the concentration of sample E that you have calculated against “the known” concentration given to you in the data set. Are they different? At what level of confidence do they become the same/different? 9) Test for outliers in samples A to E using a G or Q test. 10) ? 11) Compare the concentration of sample E that you have calculated against the "known" concentration given in the data set. Are they different? At what level of confidence do they become the same/different? 12)
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
E XPERIMENT 1: Statistics and Data Processing 13 Lab report: Abstract, introduction (2023: Not required), results, discussion and references sections are required for this lab report. For the “Experimental” section of your lab report, simply write that it does not apply here.
E XPERIMENT 1: Statistics and Data Processing 14 Hand in your original data in your report. Send your spreadsheet(s) used for calculations to your TA. 1) Clearly explain the purpose of each test you have carried and which conclusion(s) you have reached after performing each of them. eliminate them? Why or why not? 2) Perform a linear regression on the calibration data to obtain the calibration coefficients. 3) Calculate the detection and quantification limits. 4) Calculate the concentrations of samples A to E, including appropriate confidence intervals. Is there a significant References: 1. Harris DC. Experimental Error. In: Quantitative Chemical Analysis . 7th ed. New York: W. H. Freeman; 2007:39 52. 2. Analysis , Concordia University: Montréal, 2012