Confidence Intervals for Odds Ratios PreviousNext
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 scrumpy posted on Thursday, October 27, 2005 - 2:26 pm
Hi- I am running a latent variable mixture model that yields 2 classes from 8 indicators. The output provides the odds ratio comparing the classes on each indicator.

How would I calculate the confidence intervals to know which odds ratios are significantly different from one another? Is this in the output somewhere? Or is there a formula to calculate CI from SE in odds ratios?

Thanks very much!
 Linda K. Muthen posted on Thursday, October 27, 2005 - 4:29 pm
If you ask for CINTERVALS in the OUTPUT command, you will obtain confidence intervals for the odds ratios.
 scrumpy posted on Friday, October 28, 2005 - 12:01 pm
I had completely missed that option in the manual. Thank you!
 swathi bondugula posted on Thursday, November 10, 2005 - 10:40 am
Hi

what is the formula to calculate the confidence interval for an odds ratio? which distribution does this follow?? And is an 'adjusted odds rato' different from odds ratio?

Thank you very much.
 BMuthen posted on Saturday, November 12, 2005 - 6:15 pm
These are given in the Hosmer and Lemeshow logistic regression book cited on the website or other logistic regression books. Essentially, these build on the lower and upper confidence interval limits for the logistic regression coefficients(log odds) which are then exponentiated to give you the corresponding odds. An adjusted odds ratio is an odds ratio for a binary x variable where you have other x variables in the logistic regression.
 emmanuel bofah posted on Saturday, November 15, 2014 - 2:07 am
How would I calculate the odd ratios confidence intervals in MULTINATIONAL LOGISTIC REGRESSION whereby imputation is used. without imputation CINTERVALS in the OUTPUT command yields the CI. why MPLus dont give the CI with imputation.
 Linda K. Muthen posted on Saturday, November 15, 2014 - 11:10 am
To get the confidence interval of the odds ratio, create the confidence interval for the relevant logit and then exponentiate to confidence interval.
 CB posted on Tuesday, May 19, 2015 - 6:50 am
Hello Drs. Muthen,

I'm running an LCA with 2 classes and I'm interested in obtaining 95% confidence intervals for the item-response probabilities and latent class probabilities. I know that I can add the CINTERVAL option to the output. However, can you describe how to obtain 95% confidence intervals for the latent class probabilities, since these are means rather than thresholds? I know only one class has an estimated parameter and the other class is the complement, so I'm unsure how to obtain the confidence intervals for both classes. Any references/resources that you could share would be helpful too. Thanks!
 Bengt O. Muthen posted on Tuesday, May 19, 2015 - 8:53 am
Your output gives the [c#1] estimate which is a logit. You also have the 95% CI for that logit estimate. The probability is

P=1/(1+exp(-logit)).

Inserting the lower and upper limits of the logit CI in the expression for P gives you the CI for P.

The P for the other class is 1-P so inserting logit in that formula is how to get the CI for that.
 lisa Carlesso posted on Monday, January 25, 2016 - 12:39 pm
Hello,

I am having difficulty calculating the CI for the ORs of DCAT output. I am using the formula as noted in the document in the FAQ section 'logOR 1.96*SE(logOR). Then exponentiate those two limits to get the OR limits'

The problem is either that the CI does not contain the OR and\or that it is indicating a significant result when the p value is highly insignificant or vice versa. Here is an example.

Comorbidities - Est= 0.029 SE=0.068 p=0.673
OR= log(OR) of 0.029 = 1.03
CI = 0.029+\- 1.96*0.068 = (0.16, 0.10)
exp CI (1.11, 1.18)

So as you can see the OR is not within the CI and the CI is in conflict with the p value. Am I doing something incorrectly or have I missed something?
thank you
 Bengt O. Muthen posted on Monday, January 25, 2016 - 3:23 pm
Try again - the lower CI limit for the logOR is

0.0219 - 1.96*0.068

etc.
 aurora posted on Tuesday, April 05, 2016 - 9:46 pm
Hello Drs. Muthen,

I am running a discrete time survival analysis with time-varying/independent covariates.
In your board, adjusted odds ratio is explained as an odds ratio for a binary x variable where there are other x variables in the logistic regression.
Then how could I obtain an adjusted odd ratio?

Thank you!
 Bengt O. Muthen posted on Wednesday, April 06, 2016 - 6:06 pm
You exponentiate the slope for x.
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