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What is the right Bonferroni adjustment?


All vs all post-hoc after Aligned Friedman (k classifiers over multiple datasets)Appropriate non-parametric post-hoc test for baseline comparisons?Bonferroni adjustment according to which families?Friedman's test is very significant, but its post hoc comparisons (SPSS) are not significantSome new questions re the Bonferroni correctionHow many comparisons should I use when applying the Bonferroni Correction?Level of Bonferroni Correction for Post-hoc Wilcoxon Signed RankBonferroni correction vs Adjusted Bonferroni p valueBonferroni correction for Wilcoxon signed rank test with 6 related samples?Bonferroni for Wilcoxon signed rank?






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4












$begingroup$


I am trying to test a hypothesis for my Masters Thesis.



There are 3 conditions (I will name them X, Y, Z), in each of which the data isn't normally distributed, and measures the improvement for each condition. I ran a Friedman test as a repeated measure, and in post-hoc I ran a Wilcoxon test with the Bonferroni adjustment.



My problem is that I want to compare only X vs Y and X vs Z (and not Y vs Z).



My question is this: for the Bonferroni correction do I need to divide by 2 or 3?



On one hand, there are 3 comparisons done in the SPSS test, but on the other I'm only interested in 2 of them.



Does this even count as a repeated measure?



Thank you!










share|cite|improve this question









$endgroup$













  • $begingroup$
    We need more information for the "repeated measure" part of the question. Is this one group of subjects measured three times, or three different groups of subjects each measured once?
    $endgroup$
    – TPM
    Aug 5 at 18:22






  • 1




    $begingroup$
    Note that "repeated measure" has a technical meaning in statistics, representing multiple measurements on the same individual under different conditions or over time. I think that what you're asking about is really multiple comparisons. If I'm correct, please change the tag and edit your question so that future visitors to this page won't be confused. If there is a repeated measures issue, please address the comment from @TPM.
    $endgroup$
    – EdM
    Aug 5 at 18:31










  • $begingroup$
    @TPM This is one group of subjects. They each go through all 3 treatments (conditions) on different sessions, and are measured each time.
    $endgroup$
    – Izzy
    Aug 7 at 7:57

















4












$begingroup$


I am trying to test a hypothesis for my Masters Thesis.



There are 3 conditions (I will name them X, Y, Z), in each of which the data isn't normally distributed, and measures the improvement for each condition. I ran a Friedman test as a repeated measure, and in post-hoc I ran a Wilcoxon test with the Bonferroni adjustment.



My problem is that I want to compare only X vs Y and X vs Z (and not Y vs Z).



My question is this: for the Bonferroni correction do I need to divide by 2 or 3?



On one hand, there are 3 comparisons done in the SPSS test, but on the other I'm only interested in 2 of them.



Does this even count as a repeated measure?



Thank you!










share|cite|improve this question









$endgroup$













  • $begingroup$
    We need more information for the "repeated measure" part of the question. Is this one group of subjects measured three times, or three different groups of subjects each measured once?
    $endgroup$
    – TPM
    Aug 5 at 18:22






  • 1




    $begingroup$
    Note that "repeated measure" has a technical meaning in statistics, representing multiple measurements on the same individual under different conditions or over time. I think that what you're asking about is really multiple comparisons. If I'm correct, please change the tag and edit your question so that future visitors to this page won't be confused. If there is a repeated measures issue, please address the comment from @TPM.
    $endgroup$
    – EdM
    Aug 5 at 18:31










  • $begingroup$
    @TPM This is one group of subjects. They each go through all 3 treatments (conditions) on different sessions, and are measured each time.
    $endgroup$
    – Izzy
    Aug 7 at 7:57













4












4








4





$begingroup$


I am trying to test a hypothesis for my Masters Thesis.



There are 3 conditions (I will name them X, Y, Z), in each of which the data isn't normally distributed, and measures the improvement for each condition. I ran a Friedman test as a repeated measure, and in post-hoc I ran a Wilcoxon test with the Bonferroni adjustment.



My problem is that I want to compare only X vs Y and X vs Z (and not Y vs Z).



My question is this: for the Bonferroni correction do I need to divide by 2 or 3?



On one hand, there are 3 comparisons done in the SPSS test, but on the other I'm only interested in 2 of them.



Does this even count as a repeated measure?



Thank you!










share|cite|improve this question









$endgroup$




I am trying to test a hypothesis for my Masters Thesis.



There are 3 conditions (I will name them X, Y, Z), in each of which the data isn't normally distributed, and measures the improvement for each condition. I ran a Friedman test as a repeated measure, and in post-hoc I ran a Wilcoxon test with the Bonferroni adjustment.



My problem is that I want to compare only X vs Y and X vs Z (and not Y vs Z).



My question is this: for the Bonferroni correction do I need to divide by 2 or 3?



On one hand, there are 3 comparisons done in the SPSS test, but on the other I'm only interested in 2 of them.



Does this even count as a repeated measure?



Thank you!







hypothesis-testing repeated-measures nonparametric bonferroni friedman-test






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 5 at 18:07









IzzyIzzy

211 bronze badge




211 bronze badge














  • $begingroup$
    We need more information for the "repeated measure" part of the question. Is this one group of subjects measured three times, or three different groups of subjects each measured once?
    $endgroup$
    – TPM
    Aug 5 at 18:22






  • 1




    $begingroup$
    Note that "repeated measure" has a technical meaning in statistics, representing multiple measurements on the same individual under different conditions or over time. I think that what you're asking about is really multiple comparisons. If I'm correct, please change the tag and edit your question so that future visitors to this page won't be confused. If there is a repeated measures issue, please address the comment from @TPM.
    $endgroup$
    – EdM
    Aug 5 at 18:31










  • $begingroup$
    @TPM This is one group of subjects. They each go through all 3 treatments (conditions) on different sessions, and are measured each time.
    $endgroup$
    – Izzy
    Aug 7 at 7:57
















  • $begingroup$
    We need more information for the "repeated measure" part of the question. Is this one group of subjects measured three times, or three different groups of subjects each measured once?
    $endgroup$
    – TPM
    Aug 5 at 18:22






  • 1




    $begingroup$
    Note that "repeated measure" has a technical meaning in statistics, representing multiple measurements on the same individual under different conditions or over time. I think that what you're asking about is really multiple comparisons. If I'm correct, please change the tag and edit your question so that future visitors to this page won't be confused. If there is a repeated measures issue, please address the comment from @TPM.
    $endgroup$
    – EdM
    Aug 5 at 18:31










  • $begingroup$
    @TPM This is one group of subjects. They each go through all 3 treatments (conditions) on different sessions, and are measured each time.
    $endgroup$
    – Izzy
    Aug 7 at 7:57















$begingroup$
We need more information for the "repeated measure" part of the question. Is this one group of subjects measured three times, or three different groups of subjects each measured once?
$endgroup$
– TPM
Aug 5 at 18:22




$begingroup$
We need more information for the "repeated measure" part of the question. Is this one group of subjects measured three times, or three different groups of subjects each measured once?
$endgroup$
– TPM
Aug 5 at 18:22




1




1




$begingroup$
Note that "repeated measure" has a technical meaning in statistics, representing multiple measurements on the same individual under different conditions or over time. I think that what you're asking about is really multiple comparisons. If I'm correct, please change the tag and edit your question so that future visitors to this page won't be confused. If there is a repeated measures issue, please address the comment from @TPM.
$endgroup$
– EdM
Aug 5 at 18:31




$begingroup$
Note that "repeated measure" has a technical meaning in statistics, representing multiple measurements on the same individual under different conditions or over time. I think that what you're asking about is really multiple comparisons. If I'm correct, please change the tag and edit your question so that future visitors to this page won't be confused. If there is a repeated measures issue, please address the comment from @TPM.
$endgroup$
– EdM
Aug 5 at 18:31












$begingroup$
@TPM This is one group of subjects. They each go through all 3 treatments (conditions) on different sessions, and are measured each time.
$endgroup$
– Izzy
Aug 7 at 7:57




$begingroup$
@TPM This is one group of subjects. They each go through all 3 treatments (conditions) on different sessions, and are measured each time.
$endgroup$
– Izzy
Aug 7 at 7:57










1 Answer
1






active

oldest

votes


















7












$begingroup$

To the best of my knowledge, the Bonferroni correction is based on the number of tests you actually perform, not on the total number of pairwise tests that you could perform. So if you set out to perform two pairwise comparisons, you should divide by two.






share|cite|improve this answer









$endgroup$










  • 1




    $begingroup$
    This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
    $endgroup$
    – Dave
    Aug 5 at 18:27










  • $begingroup$
    Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
    $endgroup$
    – Nick Firoozye
    2 days ago













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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









7












$begingroup$

To the best of my knowledge, the Bonferroni correction is based on the number of tests you actually perform, not on the total number of pairwise tests that you could perform. So if you set out to perform two pairwise comparisons, you should divide by two.






share|cite|improve this answer









$endgroup$










  • 1




    $begingroup$
    This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
    $endgroup$
    – Dave
    Aug 5 at 18:27










  • $begingroup$
    Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
    $endgroup$
    – Nick Firoozye
    2 days ago















7












$begingroup$

To the best of my knowledge, the Bonferroni correction is based on the number of tests you actually perform, not on the total number of pairwise tests that you could perform. So if you set out to perform two pairwise comparisons, you should divide by two.






share|cite|improve this answer









$endgroup$










  • 1




    $begingroup$
    This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
    $endgroup$
    – Dave
    Aug 5 at 18:27










  • $begingroup$
    Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
    $endgroup$
    – Nick Firoozye
    2 days ago













7












7








7





$begingroup$

To the best of my knowledge, the Bonferroni correction is based on the number of tests you actually perform, not on the total number of pairwise tests that you could perform. So if you set out to perform two pairwise comparisons, you should divide by two.






share|cite|improve this answer









$endgroup$



To the best of my knowledge, the Bonferroni correction is based on the number of tests you actually perform, not on the total number of pairwise tests that you could perform. So if you set out to perform two pairwise comparisons, you should divide by two.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Aug 5 at 18:17









ZombiePlan37ZombiePlan37

1109 bronze badges




1109 bronze badges










  • 1




    $begingroup$
    This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
    $endgroup$
    – Dave
    Aug 5 at 18:27










  • $begingroup$
    Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
    $endgroup$
    – Nick Firoozye
    2 days ago












  • 1




    $begingroup$
    This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
    $endgroup$
    – Dave
    Aug 5 at 18:27










  • $begingroup$
    Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
    $endgroup$
    – Nick Firoozye
    2 days ago







1




1




$begingroup$
This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
$endgroup$
– Dave
Aug 5 at 18:27




$begingroup$
This is correct. One point to consider is that if the p-value for the YZ comparison turns out to be significant, it still shouldn't be considered significant. It should be as if you never calculated that p-value, since its calculation is just a matter of the software doing it by default (and this most likely can be changed).
$endgroup$
– Dave
Aug 5 at 18:27












$begingroup$
Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
$endgroup$
– Nick Firoozye
2 days ago




$begingroup$
Also you should make sure it is Bonferroni (or Holm) you are interested and want to control family-wise error rate (FWER) rather than BHY (Benjamini-Hochberg-Yakutieli) which controls false discovery rate (FDR).
$endgroup$
– Nick Firoozye
2 days ago

















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