[R-meta] Random slopes in rma.mv

[Norman DAURELLE]

Dear metanalysis community, 

Francisco Tapia, Wolfgang Viechtbauer, 

thanks for this exchange ! I do not always read everything, but this thread caught my eye and I'm very glad I didn't miss it. 

So once again, thank you very much because it explains things I may not have been able to phrase as clearly. 

Norman Daurelle. 


De: "Wolfgang Viechtbauer, SP" <wolfgang.viechtbauer using maastrichtuniversity.nl> 
�: "Francisco Tapia" <francisco.ninel using hotmail.com>, "r-sig-meta-analysis" <r-sig-meta-analysis using r-project.org> 
Envoy�: Dimanche 23 Mai 2021 21:37:11 
Objet: Re: [R-meta] Random slopes in rma.mv 

Yes, -1 and +0 accomplish the same thing. 

The || syntax does not currently work, but I recently added struct="GDIAG" to accomplish the same thing. I will probably try to implement || though and if this works then remove struct="GDIAG". 

Best, 
Wolfgang 

>-----Original Message----- 
>From: Francisco Tapia [mailto:francisco.ninel using hotmail.com] 
>Sent: Sunday, 23 May, 2021 21:25 
>To: Viechtbauer, Wolfgang (SP); r-sig-meta-analysis using r-project.org 
>Subject: RE: Random slopes in rma.mv 
> 
>I thought adding 0 accounted for uncorrelated random intercept and slopes -> (~ X 
>+ 0 | ID2), equivalently (~ X || ID2). From what you tell me, 0 and -1 would be 
>analogous then. 
>Regarding the last question, it was purely exploratory. I'll be applying profile() 
>to test it out. 
> 
>Thanks Wolfgang! 
>From: Viechtbauer, Wolfgang (SP) 
>Sent: Sunday, May 23, 2021 3:11 PM 
>To: Francisco Tapia; r-sig-meta-analysis using r-project.org 
>Subject: RE: Random slopes in rma.mv 
> 
>>-----Original Message----- 
>>From: R-sig-meta-analysis [mailto:r-sig-meta-analysis-bounces using r-project.org] On 
>>Behalf Of Francisco Tapia 
>>Sent: Sunday, 23 May, 2021 20:33 
>>To: r-sig-meta-analysis using r-project.org 
>>Subject: Re: [R-meta] Random slopes in rma.mv 
>> 
>>Thanks for your answers Wolfgang. I'll clarify some points: 
>> 
>> 1. Indeed, the structure (~X | ID2/ID1) does not work. This point connected 
>>with the 2nd one, as I wanted to know how to add the random slopes just for ID2. 
>> 2. Could the following structure work in the same way? 
>> 
>>Random = list( ~ 1 | ID2, ID1, ~ X -1 | ID2) (Using the lmer syntax) 
> 
>I think you meant: list(~ 1 | ID2/ID1, ~ X -1 | ID2) 
> 
>You could do that too, but this implies that the random intercepts for ID2 are 
>assumed to be uncorrelated with the random slopes for ID2. With 
> 
>list(~ 1 | interaction(ID2,ID1), ~ X | ID2) 
> 
>the random intercepts and slopes are allowed to be correlated. 
> 
>> 1. So sorry it wasn't clear enough. I meant: 
>> 
>>Level 1: Effect sizes. 
>> 
>>Level 2: ID1 
>> 
>>Level 3: ID2 and ID3 
>> 
>>Which translates to: 
>> 
>>ES / ID1 / (ID2 & ID3), therefore I would have the effect size Yi(jk), where the 
>>i-eth outcome is crossed between ID2 and ID3, both at the same level 3. 
> 
>If you want to know if you could do something like random = list(~ x | ID2, ~ x | 
>ID3), then yes, in principle that is possible. I don't know whether this makes 
>sense in the context of your data or whether the parameters of such a model are 
>identifiable (profile() can help to determine the latter). 
> 
>>Thanks again for your answers! 
>> 
>>Francisco Tapia 
>> 
>>From: Viechtbauer, Wolfgang 
>>(SP)<mailto:wolfgang.viechtbauer using maastrichtuniversity.nl> 
>>Sent: Sunday, May 23, 2021 12:45 PM 
>>To: Francisco Tapia<mailto:Francisco.ninel using hotmail.com>; r-sig-meta-analysis using r- 
>>project.org<mailto:r-sig-meta-analysis using r-project.org> 
>>Subject: RE: Random slopes in rma.mv 
>> 
>>Dear Francisco, 
>> 
>>See below for my responses. 
>> 
>>Best, 
>>Wolfgang 
>> 
>>>-----Original Message----- 
>>>From: R-sig-meta-analysis [mailto:r-sig-meta-analysis-bounces using r-project.org] On 
>>>Behalf Of Francisco Tapia 
>>>Sent: Thursday, 20 May, 2021 18:29 
>>>To: r-sig-meta-analysis using r-project.org 
>>>Subject: [R-meta] Random slopes in rma.mv 
>>> 
>>>Dear metanalysis community: 
>>> 
>>>A couple of days ago, Wolfgang provided me the information to add random slopes 
>>to 
>>>rma.mv, from the metafor package 
>>>(https://stats.stackexchange.com/questions/524144/random-slopes-in-rma-mv) 
>>> 
>>>By changing the struct to "GEN", I can now add random to my multilevel model. As 
>>>the documentation is not up yet, I wanted to check some things regarding 
>syntaxis 
>>>of the code and the logic behind it: 
>>> 
>>> 1. If I have ID1 nested within ID2, my structure of random effects would be: 
>( 
>>>~ 1 | ID2/ID1) for random intercepts. If I want to add random slopes to ID2, 
>>>Should I do it in another random effect? For example, If I add random slopes to 
>( 
>>>~ 1 | ID2/ID1), therefore -> ( ~ X | ID2/ID1), I'll be adding random slopes for 
>>>each level of ID1 within ID2, and for ID2 as well. Should I leave ( ~ 1 | 
>>>ID2/ID1) alone and create another random effect to add random slopes just for 
>>ID2? 
>> 
>>~ X | ID2/ID1 doesn't work anyway (you should get an error if you try, at least 
>if 
>>you have the 'devel' version installed). 
>> 
>>> 2. If I create another random effect to add random slopes to ID2, for 
>example, 
>>>(~ X | ID2), Would I be adding another random intercept for ID2? If so, How, an 
>>>unnecessary intercept, can affect my model? I cannot see it very clearly 
>> 
>>Yes, you would be adding random intercepts for each level of ID2 twice. I would 
>>avoid doing so. You could do: 
>> 
>>random = list(~ 1 | interaction(ID2,ID1), ~ X | ID2), struct="GEN" 
>> 
>>to add random intercepts for each ID2-ID1 combination (i.e., for ID1 nested 
>within 
>>ID2) and random intercepts and slopes for each level of ID2. 
>> 
>>> 3. If I have a crossed random effect at the same level as ID2, let's say (~ 1 
>>>|ID3) for random intercepts. Can both of them, ID2 and ID3, have different 
>random 
>>>slopes structure from each other, despite being in the same level? 
>> 
>>I don't understand what you mean by ID3 being 'at the same level' as ID2. 
>> 
>>>Thanks in advance! 
>>> 
>>>Francisco Tapia 

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