Hi Michael,

Thank you for your input. Actually the idea of using the model to estimate
a number of sick people by age group came later in the project, and I
missed the issue with the ecological nature of the analysis.

Initially, I intended to use the model to predict a single prevalence for
each country at the median age of the country population. Should I go back
to this approach? If I'm not mistaken, this could be interpreted as
age-adjusted pooled prevalence at the country level. In this case, should I
use the model with the study-level random effect?

Tkanks again for your time,
Julien





On 11 April 2014 13:15, Michael Dewey <i...@aghmed.fsnet.co.uk> wrote:

> At 13:17 10/04/2014, Julien Riou wrote:
>
>> >
>> > Message: 11
>> > Date: Wed, 09 Apr 2014 18:39:30 +0100
>> > From: Michael Dewey <i...@aghmed.fsnet.co.uk>
>> > To: Julien Riou <julien.rio...@gmail.com>, r-help@r-project.org
>> > Subject: Re: [R] Meta-analysis of prevalence at the country level with
>> >         mgcv/gamm4
>> > Message-ID: <zen-1wxwtl-0005q4...@smarthost01a.mail.zen.net.uk>
>> > Content-Type: text/plain; charset="us-ascii"; format=flowed
>> >
>>
>>
>> Hi Michael,
>>
>> Thank you for taking the time to help me.
>>
>>  So the first UK study with a median age of 25 is going to be used to
>> > estimate prevalence over a range of ages? You are going to have to
>> > make some very strong assumptions here which I personally would not
>> > want to make.
>> >
>>
>> I'm a little confused by this. In my understanding, the mixed-effects
>> model
>> does not do that. The slope of the relation between age and prevalence
>> will
>> be estimated from the full pool of studies, and the country-level random
>> intercept will be estimated from all studies in the country. So the
>> assumption here is that the relation between age and incidence is the same
>> in every country, which is quite reasonable. Of course, there will be more
>> uncertainty with the estimation of the random intercept if there is few
>> studies in a country, or if there is a strong inter-study variance in a
>> country. This will influence the confidence interval of the random
>> intercept, and so the CI of the predicted prevalence for this country.
>>
>
> Your studies are ecological. You are estimating the relationship between
> prevalence and being in a study of median age X which is not necessarily
> the same as the relationship between prevalence and being a person of age X.
>
>
>
>  Is there any possibility that in the real dataset you can fit your
>> > model to those studies which do provide age-specific prevalences and
>> > then use that to impute?
>> >
>> > You do not say when these studies were published but I would ask the
>> > authors of the primary studies if they can make the information
>> > available to you. You may have already done that of course. I referee
>> > quite a few papers on systematic reviews and my impression is that
>> > some authors are amenable to doing the work for you. You mileage may
>> > vary of course.
>> >
>>
>> Yes, it would be easier to have prevalence for age subgroups of studies,
>> but we did not have access to that information for most studies even after
>> contacting the authors.
>>
>>
>> > >*Standard random-effect meta-analysis* with package meta.
>> > >
>> > >I used metaprop() to get a first estimate of the prevalence in each
>> > country
>> > >without taking age into account, and to obtain weights. As expected,
>> > >heterogeneity was very high, so I used weights from the random-effects
>> > >model.
>> >
>> > Which will be nearly equal and so hardly worth using in my opinion
>> > but again your mileage may vary.
>> >
>>
>> The weights from the random-effects method were actually far from equals,
>> as sample size was highly variable between studies. With the RE method,
>> small studies have much more impact.
>>
>>
>> > I am afraid that is the way with systematic reviews, you can only
>> > synthesise what you find, not what you would like to have found.
>> > Anyone who has done a review will sympathise with you, not that that
>> > is any consolation.
>> >
>>
>> I'm not sure I'm following your point. My objective is to synthesise the
>> included studies, while taking the age factor into account, since it is
>> strongly linked to prevalence and very heterogeneous. The alternative is
>> to
>> only include studies with low median age, but I would lose a lot of
>> information.
>>
>> Thank you again,
>> Julien
>>
>> >
>> >
>>
>>         [[alternative HTML version deleted]]
>>
>
> Michael Dewey
> i...@aghmed.fsnet.co.uk
> http://www.aghmed.fsnet.co.uk/home.html
>
>

        [[alternative HTML version deleted]]

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