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Do I need a Bonferonni correction on a 2x2 chi-squared analysis?

Multiple testing correction for chi squared residualsPost-hoc chi-squared multiple comparison tests using complex samples module in SPSS v. 20Multiple value Chi Squared test in SPSSchi squared with proportions

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I'm really hoping someone here can help.

I have performed a chi-square test of independence, looking at men/women and early/late drop out from therapy. I have a p-value of 0.047. Do I need to do any post hoc testing on this? Men drop out almost 50:50 early:late whereas women drop out almost 25:75 early:late. Do I need post hoc testing for this and a Bonferonni correction, or is the answer simply:

The frequency of retention rates was compared across gender, finding a significant interaction (X2 (1) = 3.94, p = 0.047), indicating that females were more likely to be retained past the third CBT session than men.

Any help would be greatly appreciated, stats hurt my head and I can't continue past this problem.

chi-squared spss post-hoc bonferroni

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add a comment
 | 

1

$begingroup$

I'm really hoping someone here can help.

I have performed a chi-square test of independence, looking at men/women and early/late drop out from therapy. I have a p-value of 0.047. Do I need to do any post hoc testing on this? Men drop out almost 50:50 early:late whereas women drop out almost 25:75 early:late. Do I need post hoc testing for this and a Bonferonni correction, or is the answer simply:

The frequency of retention rates was compared across gender, finding a significant interaction (X2 (1) = 3.94, p = 0.047), indicating that females were more likely to be retained past the third CBT session than men.

Any help would be greatly appreciated, stats hurt my head and I can't continue past this problem.

chi-squared spss post-hoc bonferroni

share|cite

asked 10 hours ago

user261832user261832

611 bronze badge

New contributor

user261832 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment
 | 

$begingroup$

I'm really hoping someone here can help.

I have performed a chi-square test of independence, looking at men/women and early/late drop out from therapy. I have a p-value of 0.047. Do I need to do any post hoc testing on this? Men drop out almost 50:50 early:late whereas women drop out almost 25:75 early:late. Do I need post hoc testing for this and a Bonferonni correction, or is the answer simply:

The frequency of retention rates was compared across gender, finding a significant interaction (X2 (1) = 3.94, p = 0.047), indicating that females were more likely to be retained past the third CBT session than men.

Any help would be greatly appreciated, stats hurt my head and I can't continue past this problem.

chi-squared spss post-hoc bonferroni

share|cite

asked 10 hours ago

user261832user261832

611 bronze badge

New contributor

user261832 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite

asked 10 hours ago

user261832user261832

611 bronze badge

New contributor

user261832 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite

asked 10 hours ago

user261832user261832

611 bronze badge

New contributor

user261832 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 10 hours ago

user261832user261832

611 bronze badge

New contributor

user261832 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 10 hours ago

user261832user261832

611 bronze badge

1 Answer
1

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2

$begingroup$

You are answering the research question by one single hypothesis test, so no need to think about multiple testing.

Your statement is okay. Maybe you could say something like:

x of xy (50%) men had an early drop out, while for female patients,
the drop-out rate was y out of yz (25%). This difference is
statistically significant at the 5% level (Chi-squared test-statistic
....., p value 0.047).

If the sample size is not too large, I actually would go for Fisher's exact test, especially since the result is close to non-significance.

share|cite|improve this answer

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Hi Michael, Thank you for the quick response. That's really helpful! I hadn't considered Fisher's exact test could be used for this purpose! I will go and check this out now! Thanks again, it's really confusing because some texts on-line say things like for chi-square of more than 2 x 2 and sometimes even for 2 x 2 you might want to do post hoc testing. When would you need to do post hoc testing on a 2x2 - is that a thing?
  $endgroup$
  – user261832
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Hi Michael, sorry, one more question, would I look at the fishers exact score for 2 sided or 1 sided? Thank you.
  $endgroup$
  – user261832
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Just to be sure: You are in a 2x2 scenario, right? The Fisher's exact test would be two-sided (there, "sided" is meant regarding the odds ratio, which is 1 without association).
  $endgroup$
  – Michael M
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yeah, I think so! I have Gender = male/female and Dropout = early/late?
  $endgroup$
  – user261832
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Sounds like 2x2!
  $endgroup$
  – Michael M
  8 hours ago
  

  
  
  
  

 | 
show 1 more comment

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2

$begingroup$

You are answering the research question by one single hypothesis test, so no need to think about multiple testing.

Your statement is okay. Maybe you could say something like:

x of xy (50%) men had an early drop out, while for female patients,
the drop-out rate was y out of yz (25%). This difference is
statistically significant at the 5% level (Chi-squared test-statistic
....., p value 0.047).

If the sample size is not too large, I actually would go for Fisher's exact test, especially since the result is close to non-significance.

share|cite|improve this answer

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Hi Michael, Thank you for the quick response. That's really helpful! I hadn't considered Fisher's exact test could be used for this purpose! I will go and check this out now! Thanks again, it's really confusing because some texts on-line say things like for chi-square of more than 2 x 2 and sometimes even for 2 x 2 you might want to do post hoc testing. When would you need to do post hoc testing on a 2x2 - is that a thing?
  $endgroup$
  – user261832
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Hi Michael, sorry, one more question, would I look at the fishers exact score for 2 sided or 1 sided? Thank you.
  $endgroup$
  – user261832
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Just to be sure: You are in a 2x2 scenario, right? The Fisher's exact test would be two-sided (there, "sided" is meant regarding the odds ratio, which is 1 without association).
  $endgroup$
  – Michael M
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yeah, I think so! I have Gender = male/female and Dropout = early/late?
  $endgroup$
  – user261832
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Sounds like 2x2!
  $endgroup$
  – Michael M
  8 hours ago
  

  
  
  
  

 | 
show 1 more comment

2

$begingroup$

You are answering the research question by one single hypothesis test, so no need to think about multiple testing.

Your statement is okay. Maybe you could say something like:

x of xy (50%) men had an early drop out, while for female patients,
the drop-out rate was y out of yz (25%). This difference is
statistically significant at the 5% level (Chi-squared test-statistic
....., p value 0.047).

If the sample size is not too large, I actually would go for Fisher's exact test, especially since the result is close to non-significance.

share|cite|improve this answer

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Hi Michael, Thank you for the quick response. That's really helpful! I hadn't considered Fisher's exact test could be used for this purpose! I will go and check this out now! Thanks again, it's really confusing because some texts on-line say things like for chi-square of more than 2 x 2 and sometimes even for 2 x 2 you might want to do post hoc testing. When would you need to do post hoc testing on a 2x2 - is that a thing?
  $endgroup$
  – user261832
  9 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Hi Michael, sorry, one more question, would I look at the fishers exact score for 2 sided or 1 sided? Thank you.
  $endgroup$
  – user261832
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Just to be sure: You are in a 2x2 scenario, right? The Fisher's exact test would be two-sided (there, "sided" is meant regarding the odds ratio, which is 1 without association).
  $endgroup$
  – Michael M
  9 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yeah, I think so! I have Gender = male/female and Dropout = early/late?
  $endgroup$
  – user261832
  8 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Sounds like 2x2!
  $endgroup$
  – Michael M
  8 hours ago
  

  
  
  
  

 | 
show 1 more comment

$begingroup$

You are answering the research question by one single hypothesis test, so no need to think about multiple testing.

Your statement is okay. Maybe you could say something like:

x of xy (50%) men had an early drop out, while for female patients,
the drop-out rate was y out of yz (25%). This difference is
statistically significant at the 5% level (Chi-squared test-statistic
....., p value 0.047).

If the sample size is not too large, I actually would go for Fisher's exact test, especially since the result is close to non-significance.

share|cite|improve this answer

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges

$endgroup$

share|cite|improve this answer

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges

answered 10 hours ago

Michael MMichael M

6,76033 gold badges2222 silver badges3636 bronze badges