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    Interpret continuous variables in binary regression model




    I have produced three binary regression models, each showing the odds ratios (ORs) for an outcome (attendance versus non-attendance)

    Each regression model looks at age in 10 year intervals and its effects on non-attendance of a particular health service.

    The OR for patients between 0-10 was 0.52; (3 year intervals used here)

    The OR for patients between 11-49 was 0.66;

    The OR for patients over 50 was 1.15.

    How does one interpret these values?

    Is it correct to say that each average increase in 3 years, there is a 48% reduced risk for non-attendance? Does this also suggest that younger patients have an increased risk for non-attendance?

    I would appreciate any advice, I'm quite confused by this!

    Anyone?
    Last edited by jle; 04-26-2015 at 11:50 PM.

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    Re: Interpret continuous variables in binary regression model

    So there seems to be quite a bit a vagueness here. Why do have to run three models. Are there other variables in these models? What is with the age groupings (e.g., 0-10,...,etc.). Did you select 3-year intervals? Is it feasible to make generalizations from three different models to the the overall population? I would guess not. What does the confidence intervals look like?
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    Re: Interpret continuous variables in binary regression model

    Hi!

    I have left out other details to simplify the post.

    There are three age groups (and three models) because the condition I'm looking at is managed differently at a clinical level.

    There are other covariates (i.e. gender, location, diabetes, etc.) which I have left out, again for simplicity.

    I have used three years for the youngest group as this was recommended by lecturer and statistician.

    The confidence intervals are nothing unusual. I am working with a dataset of over 100,000 cases and most relationships are significant.

    I was more confused about the interpretation.

    :\

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    Re: Interpret continuous variables in binary regression model

    The OR for patients between 0-10 was 0.52; (3 year intervals used here):

    For every unit increase in age (3 years), the odds are 48% less for attendance. I think for ever unit decrease (3 years) odds for attendance is 72% greater for attendance.


    The OR for patients between 11-49 was 0.66; Same interpretation here.

    The OR for patients over 50 was 1.15. Same as 72% interpretation above.

    Sidenote, not "risk" but odds.
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    Re: Interpret continuous variables in binary regression model

    It feels like you could run a model with all data, just control for a the age groups and look for potential interactions between groups and covariates.
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    Re: Interpret continuous variables in binary regression model

    Thank you very much hlsmith!

    I will have a word with my friend about interactions between groups.

    Could you also let me know where the 72% figure comes from, is this an inverse value?

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    Re: Interpret continuous variables in binary regression model

    Yes it did.
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    Re: Interpret continuous variables in binary regression model


    Thank you again for your help. I really appreciate it!

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