Practice Problems for Discussions

Overview:

This is the most difficult section to get right.  Credibility as an experimenter is hard-won here and so easily lost here.  There are key elements of a good discussion that must be there.  There are other elements that may be added which enhance the experimenter’s credibility.  However, respect must be paid to the reader by not rambling on too long.  Finally, the organization of the points is important.

Elements of a good discussion

·         Errors made in executing the procedure

·         Innovations used during the procedure of this experiment

o        Innovations that worked

o        Innovations that proved unfruitful

·         The largest contributor to the uncertainty of this experiment

·         Improvements to the experiment that will decrease the largest contributor to the uncertainty

·         Secondary significant contributors to the uncertainty

·         Improvements that will improve the efficiency of the experiment

·         Improvements that will reduce the cost of the experiment

·         Possible directions for further investigation that you would find interesting, and why

Examples of Elements of a good discussion

·         The procedure for this experiment was not followed correctly, leading to results that are meaningless.  The oven was not switched on, so the temperature was not controlled or recorded.  The ambient temperature inside the oven when not switched on was some 120 degrees C below the temperature of interest for the phenomenon under investigation.

·         The results of this experiment substantially agree with the expected results.  Most of the calculated values for g agree within uncertainty with the expected value, and those that don't are within 2 times the uncertainties away from the expected results.  

·         The results of this experiment are within 10% of the expected results, but are are more than 5 uncertainties away from expected results.  This disagreement is systematic.  If the results were all scaled lower by 10%, they would agree within uncertainty with the expected results. No particular element of the procedure or equipment has yet been identified as the cause of this discrepancy, it is suspected that the discrepancy is not substantial.  The procedure will be repeated with fixed parameters, and each element of the apparatus and procedure will be investigated thoroughly to identify the source of this discrepancy.

·         In an attempt to stabilize the bob and keep it from spinning, we added a second string beside the first one.  Unfortunately, although it did stabilize the bob, it also prevented the bob from entering a circular orbit. 

·         The largest source of uncertainty for this experiment is clearly the measurement of the temperature, which contributed approximately 10 % to the final uncertainty.  By using a digital thermometer, and better thermal insulation, the contribution from this source could be reduced to 1%.  If this is done, however, then the uncertainty in the timing will become significant, given that it currently contributes about 2% to the uncertainty. 

·         The cost of this procedure could be greatly reduced by the use of the new plastic pipettes instead of the glass ones.   The cost savings per pipette would be substantial without impacting the results at all.

·         The experiment could easily be automated, allowing for the procedure to be repeated 10,000 times without intervention of the experimenter.  This would require a capital outlay of about $3000, and a week to set up.  10,000 trials would take 3 weeks to complete, but not involve any significant man-hours, and would result in the uncertainty of the measurement being reduced by a factor of 100. 

·         This experiment can easily be continued to the micrometer domain.  Theoretically, this process should scale linearly with length, but clearly at some small-scale limit the Thompson effect should become discernable.  It would be interesting to look for the Thompson effect at this scale.

 

Elements that are NOT included in a discussion

Personal issues

Any reference to errors in the analysis

If you made mistakes in analyzing the data, correct these errors.  If data analysis is incomplete or if you are not confident of your analysis, then complete the analysis, and check your work. 

If you simply CANNOT complete the analysis, then as a desperate last resort you must state that the analysis is preliminary and unreliable, and you must state this absolutely first.  You are not entitled to conclude anything except that this is a work in progress.

A witch-hunt for ‘possible sources of error’

Frankly, anyone who does this sounds completely incompetent.

Examples of Elements that are NOT included in a discussion

·         I was feeling sick when I was doing this experiment, so I don’t know how good it is.

·         I am under-paid.

·         Some sources of error are: The moon was in half-phase.  This might have affected my value of ‘g’. ….

·         I think I calculated the slope of the graph wrong.

 

Exercises for elements of a good discussion

For each of the experiments that you have done, write any items that you think might belong in a discussion.  Write these in point form and in any order.   Now mark the ones that, on second look, do NOT belong in a good discussion.

Organization of a good discussion

Once the elements of the discussion are identified, they need to be organized into a coherent work (NOT A POINT-WISE LIST).  This is a literary skill.  However, there is an over-riding principle that should be followed.  Statements that enhance the credibility of the experimenter the most should go first.  First impressions are important. 

Some people immediately jump to the wrong conclusion based on the previous statement, and put statements like “The procedure used was incorrect” last.   The last thing one wants to admit is that something was done wrong.  However, this is a SERIOUS mistake when it comes to these types of reports.  It is the FIRST responsibility of investigators to route out mistakes, and most especially their own.  Clearly, a report that is being issued based on work that was done wrong is an interim report.  Such reports are expected to uncover possible mistakes, and ways of reducing uncertainties. 

Exercises

With these thoughts in mind, organize the elements you have identified in the above exercise into an order that puts the items that enhance your credibility the most first.