User:Moira M. Esson/Notebook/CHEM-571/2013/09/04: Difference between revisions

From OpenWetWare
Jump to navigationJump to search
(23 intermediate revisions by 3 users not shown)
Line 8: Line 8:
==Objectives==
==Objectives==
* Perform error analysis on the compiled data calibration curve.
* Perform error analysis on the compiled data calibration curve.
**Determine the standard deviation for your data points.  
**Determine the standard deviation for the data points.  
**Determine the confidence interval for 90% and 95% confidence.  
**Determine the confidence interval for 90% and 95% confidence.  
**Determine if any data can be ruled out using a Q-test.  
**Determine if any data can be ruled out using a Q-test.  
* Determine the molar extinction coefficient for both adenosine and inosine.
* Determine the molar extinction coefficient for both adenosine and inosine.
* Determine the concentration of an unknown adenosine sample(taken from Javier's group).
* Determine the concentration of an unknown adenosine sample(taken from [[User:Javier Vinals Camallonga/Notebook/Javier Vinals notebook/2013/09/04|Javier's]] group).
* Perform Grubb's test on outlying peak of adenosine molar extinction coefficent graph.
* Perform Grubb's test on outlying peak of adenosine molar extinction coefficent graph.
* Perform data analysis on molar extinction coefficient graphs(both adenosine and inosine).
* Perform data analysis on molar extinction coefficient graphs(both adenosine and inosine).
<br>


==Group calibration curve data==
'''Figure 1. CHEM-571 Calibration Curve for Adenosine'''
<br>
[[Image:Chem571groupadenosinecalibration09082013.png]]
<br>
*The Grubb's test will be employed to determine whether the points that lie outside of the line of best fit are outliers
<br>
'''Figure 2. CHEM-571 Calibration Curve for Inosine'''
<br>
[[Image:Chem571inosinecalibrationcurve09082013.png]]
<br>
'''Table 1. Molar absorptivity for Adenosine at a wavelength of 259nm and Inosine at a wavelength of 249nm '''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Molar Absorptivity(Lmol<sup>-1</sup>cm<sup>-1</sup>)'''
| align="center" style="background:#f0f0f0;"|''''''
|-
| Adenosine||14025
|-
| Inosine||11007
|}
<br>
[[User:Matt Hartings|Matt Hartings]] What wavelength does this molar absorptivity correspond to?
'''Table 2. Standard deviation of Inosine Absorbance values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Comcentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Standard Deviation'''
|-
| 4.80E-05||0.10707708
|-
| 4.00E-05||0.12254917
|-
| 3.20E-05||0.0943149
|-
| 2.40E-05||0.06671357
|-
| 1.60E-05||0.04841797
|-
| 8.00E-06||0.04748368
|}
<br>
'''Table 3. Standard deviation of Adenosine Absorbance values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Standard Deviation'''
|-
| 3.00E-05||0.072537576
|-
| 2.50E-05||0.045680412
|-
| 2.00E-05||0.064123319
|-
| 1.50E-05||0.056753854
|-
| 1.00E-05||0.0313289
|-
| 5.00E-06||0.046559639
|}
<br>
'''Table 4. 95% Confidence Intervals for Adenosine Absorbance values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Confidence Interval'''
|-
| 3.00E-05||0.063580821
|-
| 2.50E-05||0.04003991
|-
| 2.00E-05||0.056205534
|-
| 1.50E-05||0.049746033
|-
| 1.00E-05||0.027460487
|-
| 5.00E-06||0.040810573
|}
<br>
'''Table 5. 90% Confidence Intervals for Adenosine Absorbance Values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Confidence Interval'''
|-
| 3.00E-05||0.053358707
|-
| 2.50E-05||0.033602552
|-
| 2.00E-05||0.047169171
|-
| 1.50E-05||0.041748187
|-
| 1.00E-05||0.023045567
|-
| 5.00E-06||0.034249313
|}
<br>
'''Table 6. 95% Confidence Intervals for Inosine Absorbance Values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Confidence Interval'''
|-
| 4.80E-05||0.093855474
|-
| 4.00E-05||0.10741711
|-
| 3.20E-05||0.082669136
|-
| 2.40E-05||0.058475948
|-
| 1.60E-05||0.042439442
|-
| 8.00E-06||0.041620516
|}
<br>
'''Table 7. 90% Confidence Intervals for Inosine Absorbance Values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Confidence Interval'''
|-
| 4.80E-05||0.078765997
|-
| 4.00E-05||0.09014728
|-
| 3.20E-05||0.069378126
|-
| 2.40E-05||0.049074562
|-
| 1.60E-05||0.035616303
|-
| 8.00E-06||0.034929038
|}
<br>
'''Table 8. Q-test at 90% confidence for Inosine Absorbance Values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Comcentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Q<sub>exp</sub> values'''
| align="center" style="background:#f0f0f0;"|'''Suspected outlier(Abs)'''
|-
| 4.80E-05||0.435606061||0.331
|-
| 4.00E-05||0.605769231||0.189
|-
| 3.20E-05||0.880658436||0.171
|-
| 2.40E-05||0.987804878||0.128
|-
| 1.60E-05||0.475806452||0.089
|-
| 8.00E-06||0.534883721||0.004
|}
<br>
*Note: With 5 data points Q<sub>c</sub>=0.64. As such, data points 0.171 and 0.128 can be discarded with 90% confidence
<br>
'''Table 9. Q-test at 90% confidence for Adenosine Absorbance Values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Suspected Outliers(Abs)'''
| align="center" style="background:#f0f0f0;"|'''Q<sub>exp</sub>'''
|-
| 3.00E-05||0.558||0.794444444
|-
| 2.50E-05||0.442||0.705357143
|-
| 2.00E-05||0.406||0.8625
|-
| 1.50E-05||0.304||0.675496689
|-
| 1.00E-05||0.195||0.5
|-
| 5.00E-06||0.136||0.405405405
|}
<br>
*Note: With 5 data points Q<sub>c</sub>=0.64. As such, data points 0.558, 0.442, 0.406, and 0.304 can be discarded with 90% certainty.
<br>
'''Table 10. Grubb's Test for Adenosine Absorbance Values'''
<br>
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Concentration(M)'''
| align="center" style="background:#f0f0f0;"|'''Suspected Outliers(Abs)'''
| align="center" style="background:#f0f0f0;"|'''G<sub>exp</sub>'''
|-
| 3.00E-05||0.558||1.753573888
|-
| 2.50E-05||0.442||1.725028241
|-
| 2.00E-05||0.406||1.75599146
|-
| 1.50E-05||0.304||1.481520326
|-
| 1.00E-05||0.195||1.532131655
|-
| 5.00E-06||0.136||1.426127891
|}
<br>
*Note: With 5 data points at a 95% confidence level G<sub>c</sub>=1.67. As such, absorbance values 0.558, 0.442 and 0.406 can be discarded with 95% confidence.
==Unknown Adenosine Solution==
'''Figure 3. Absorption Spectrum of Unknown Concentration'''
<br>
[[Image:Unknownadenosine09042013zem.png]]
<br>
*Using the molar extinction coefficient determined from the calibration curve above the concentration of the unknown is 4.7344E-5 M.
*Based on the calibration curve, the average error in this calculation is 1%, shown in Table 11(shown below).
<br>
'''Table 11. Calculations relating to the uncertainty in the unknown concentration '''
{| {{table}}
| align="center" style="background:#f0f0f0;"|'''Absorbance'''
| align="center" style="background:#f0f0f0;"|'''Concentration (M)'''
| align="center" style="background:#f0f0f0;"|'''Std. dev.'''
| align="center" style="background:#f0f0f0;"|'''Error(%)'''
| align="center" style="background:#f0f0f0;"|'''Average Std.dev'''
| align="center" style="background:#f0f0f0;"|'''Average Error(%)'''
|-
| 0.4308||3.07166E-05||0.185562176||2.350608861||0.078942175||1
|-
| 0.3632||2.58966E-05||0.131895429||1.670785353||||
|-
| 0.2934||2.09198E-05||0.086071285||1.090308||||
|-
| 0.209||1.4902E-05||0.043674771||0.553250165||||
|-
| 0.147||1.04813E-05||0.021605919||0.273692974||||
|-
| 0.0696||4.96257E-06||0.004843469||0.061354647||||
|}
[[User:Matt Hartings|Matt Hartings]] Based on your calibration curve, what is the error in this measurement?


<!-- ##### DO NOT edit below this line unless you know what you are doing. ##### -->
<!-- ##### DO NOT edit below this line unless you know what you are doing. ##### -->

Revision as of 11:45, 13 September 2013

Project name <html><img src="/images/9/94/Report.png" border="0" /></html> Main project page
<html><img src="/images/c/c3/Resultset_previous.png" border="0" /></html>Previous entry<html>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</html>Next entry<html><img src="/images/5/5c/Resultset_next.png" border="0" /></html>

Objectives

  • Perform error analysis on the compiled data calibration curve.
    • Determine the standard deviation for the data points.
    • Determine the confidence interval for 90% and 95% confidence.
    • Determine if any data can be ruled out using a Q-test.
  • Determine the molar extinction coefficient for both adenosine and inosine.
  • Determine the concentration of an unknown adenosine sample(taken from Javier's group).
  • Perform Grubb's test on outlying peak of adenosine molar extinction coefficent graph.
  • Perform data analysis on molar extinction coefficient graphs(both adenosine and inosine).


Group calibration curve data

Figure 1. CHEM-571 Calibration Curve for Adenosine

  • The Grubb's test will be employed to determine whether the points that lie outside of the line of best fit are outliers


Figure 2. CHEM-571 Calibration Curve for Inosine

Table 1. Molar absorptivity for Adenosine at a wavelength of 259nm and Inosine at a wavelength of 249nm

Molar Absorptivity(Lmol-1cm-1) '
Adenosine 14025
Inosine 11007


Matt Hartings What wavelength does this molar absorptivity correspond to?

Table 2. Standard deviation of Inosine Absorbance values

Comcentration(M) Standard Deviation
4.80E-05 0.10707708
4.00E-05 0.12254917
3.20E-05 0.0943149
2.40E-05 0.06671357
1.60E-05 0.04841797
8.00E-06 0.04748368


Table 3. Standard deviation of Adenosine Absorbance values

Concentration(M) Standard Deviation
3.00E-05 0.072537576
2.50E-05 0.045680412
2.00E-05 0.064123319
1.50E-05 0.056753854
1.00E-05 0.0313289
5.00E-06 0.046559639


Table 4. 95% Confidence Intervals for Adenosine Absorbance values

Concentration(M) Confidence Interval
3.00E-05 0.063580821
2.50E-05 0.04003991
2.00E-05 0.056205534
1.50E-05 0.049746033
1.00E-05 0.027460487
5.00E-06 0.040810573


Table 5. 90% Confidence Intervals for Adenosine Absorbance Values

Concentration(M) Confidence Interval
3.00E-05 0.053358707
2.50E-05 0.033602552
2.00E-05 0.047169171
1.50E-05 0.041748187
1.00E-05 0.023045567
5.00E-06 0.034249313


Table 6. 95% Confidence Intervals for Inosine Absorbance Values

Concentration(M) Confidence Interval
4.80E-05 0.093855474
4.00E-05 0.10741711
3.20E-05 0.082669136
2.40E-05 0.058475948
1.60E-05 0.042439442
8.00E-06 0.041620516


Table 7. 90% Confidence Intervals for Inosine Absorbance Values

Concentration(M) Confidence Interval
4.80E-05 0.078765997
4.00E-05 0.09014728
3.20E-05 0.069378126
2.40E-05 0.049074562
1.60E-05 0.035616303
8.00E-06 0.034929038


Table 8. Q-test at 90% confidence for Inosine Absorbance Values

Comcentration(M) Qexp values Suspected outlier(Abs)
4.80E-05 0.435606061 0.331
4.00E-05 0.605769231 0.189
3.20E-05 0.880658436 0.171
2.40E-05 0.987804878 0.128
1.60E-05 0.475806452 0.089
8.00E-06 0.534883721 0.004


  • Note: With 5 data points Qc=0.64. As such, data points 0.171 and 0.128 can be discarded with 90% confidence


Table 9. Q-test at 90% confidence for Adenosine Absorbance Values

Concentration(M) Suspected Outliers(Abs) Qexp
3.00E-05 0.558 0.794444444
2.50E-05 0.442 0.705357143
2.00E-05 0.406 0.8625
1.50E-05 0.304 0.675496689
1.00E-05 0.195 0.5
5.00E-06 0.136 0.405405405


  • Note: With 5 data points Qc=0.64. As such, data points 0.558, 0.442, 0.406, and 0.304 can be discarded with 90% certainty.


Table 10. Grubb's Test for Adenosine Absorbance Values


Concentration(M) Suspected Outliers(Abs) Gexp
3.00E-05 0.558 1.753573888
2.50E-05 0.442 1.725028241
2.00E-05 0.406 1.75599146
1.50E-05 0.304 1.481520326
1.00E-05 0.195 1.532131655
5.00E-06 0.136 1.426127891


  • Note: With 5 data points at a 95% confidence level Gc=1.67. As such, absorbance values 0.558, 0.442 and 0.406 can be discarded with 95% confidence.

Unknown Adenosine Solution

Figure 3. Absorption Spectrum of Unknown Concentration

  • Using the molar extinction coefficient determined from the calibration curve above the concentration of the unknown is 4.7344E-5 M.
  • Based on the calibration curve, the average error in this calculation is 1%, shown in Table 11(shown below).


Table 11. Calculations relating to the uncertainty in the unknown concentration

Absorbance Concentration (M) Std. dev. Error(%) Average Std.dev Average Error(%)
0.4308 3.07166E-05 0.185562176 2.350608861 0.078942175 1
0.3632 2.58966E-05 0.131895429 1.670785353
0.2934 2.09198E-05 0.086071285 1.090308
0.209 1.4902E-05 0.043674771 0.553250165
0.147 1.04813E-05 0.021605919 0.273692974
0.0696 4.96257E-06 0.004843469 0.061354647

Matt Hartings Based on your calibration curve, what is the error in this measurement?


Retrieved from "https://openwetware.org/mediawiki/index.php?title=User:Moira_M._Esson/Notebook/CHEM-571/2013/09/04&oldid=728094"