Comparing Direct Measurement & Simulation Results: Paired t Test?

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Discussion Overview

The discussion revolves around the appropriateness of using a paired t-test to compare results obtained from direct measurements and simulations of absorbed dose in patients. The context includes considerations of statistical methods and the conditions under which the data is collected.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a paired t-test is suitable for comparing results from direct measurements and simulations, specifically in the context of measuring absorbed dose using TLD and MCNP methods.
  • Another participant states that a paired t-test can be used if the outcomes are normally distributed or can be transformed to normal, mentioning the need for a weighted t-test in certain cases.
  • A different participant emphasizes that for a paired t-test to be appropriate, the data must be collected under similar conditions, suggesting that the data should come from the same subjects or comparable scenarios.
  • This participant also notes that the differences in data should be reasonably symmetric and have few outliers, as t-tests are sensitive to deviations from normality.
  • A later reply expresses appreciation for the explanations provided, indicating that the information was helpful.

Areas of Agreement / Disagreement

Participants express differing views on the conditions necessary for using a paired t-test, with some emphasizing the need for similar conditions in data collection while others focus on statistical distribution requirements. The discussion remains unresolved regarding the definitive appropriateness of the paired t-test in this context.

Contextual Notes

Limitations include potential sampling bias if the data is not randomly collected and the need for normality in the data distribution for the t-test to be valid.

Lisa!
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If we measure a quantity with 2 different tools(once by direct measurements and the other time through simulation), is it true if we compare these 2 results together by using paired t test?
Does it makes sense ?
For example we want to measure the aborbed dose of a patient, so once we measure it directly by using TLD(some kind of detector) and the other time we measure it through simulation by MCNP method. Now we want to see if these results are significantly different from each other or they're in a good agreement with each other, can we use paired t test for that purpose or is it wrong?

Thanks
PS1: Feel free to move it to the right forum and sorry if I've not posted it in the right place.
PS2: Please let me know if I've not clearly stated my question.
 
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You can use a paired t-test provided you are comparing outcomes from two random variables each of which is normally distributed, or can be transformed to normal through a weighting algorithm. In the latter case you need to perform a weighted t test. In case of non-random samples (e.g. you tested every third patient at 2pm every other day) there may be a sampling bias.
 
Lisa! said:
If we measure a quantity with 2 different tools(once by direct measurements and the other time through simulation), is it true if we compare these 2 results together by using paired t test?

Unless, in your two sets of data, the two items in the first row, the two in the second row, and so on, are collected under similar conditions (from same person, before and after, or something else) a paired t-test is not appropriate.

Does it makes sense ?
For example we want to measure the aborbed dose of a patient, so once we measure it directly by using TLD(some kind of detector) and the other time we measure it through simulation by MCNP method. Now we want to see if these results are significantly different from each other or they're in a good agreement with each other, can we use paired t test for that purpose or is it wrong?
This seems to meet the criterion for the paired test. Remember that a paired t-test is simply a regular t-test applied to the differences, so you should make sure the differences of the data are reasonably symmetric and have few (preferably no) outliers, as t-tests are notoriously sensitive to departures from normality.
Thanks
PS1: Feel free to move it to the right forum and sorry if I've not posted it in the right place.
PS2: Please let me know if I've not clearly stated my question.[/QUOTE]
 
Thank you, guys!:smile:
Your posts were really helpful...

statdad said:
Unless, in your two sets of data, the two items in the first row, the two in the second row, and so on, are collected under similar conditions (from same person, before and after, or something else) a paired t-test is not appropriate.

This seems to meet the criterion for the paired test. Remember that a paired t-test is simply a regular t-test applied to the differences, so you should make sure the differences of the data are reasonably symmetric and have few (preferably no) outliers, as t-tests are notoriously sensitive to departures from normality.
Nice explanation!:smile:
 

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