[R-sig-ME] Modelling football matches

[Jorge Teixeira]

Thank you, Ben.

Yes, indeed there are many more things that could be added - I was trying
to discuss a more fundamental structure.

Game_part was related to the fact that each game has part 1 and part 2.

1) I agree it makes sense to have game_part as fixed effect too, with this
result

lmer(distance ~ stage + *game_part* + (1|player) + (1|game/game_part),
data=my_data)

2) As for the random slopes, my question was that I believe the variation
by game and game_part might be different across players. Can random slopes
account for that?

3) For outcomes such as relative average heart rate, that are bounded by
100%, do you recommend a specific family of models?

Thanks once again.

Date: Thu, 15 Dec 2022 12:12:16 -0500
From: Ben Bolker <bbolker using gmail.com>
To: r-sig-mixed-models using r-project.org
Subject: Re: [R-sig-ME] Modelling football matches
Message-ID: <ca745d94-ac01-3422-cd66-0d85058d8936 using gmail.com>
Content-Type: text/plain; charset="utf-8"; Format="flowed"


    For a positive-valued variable like distance you might want to
consider a log-linear model (lmer(log(distance) ~ ...) or a Gamma GLMM
(glmer(distance  ~ ..., family = Gamma(link="log"))

   I believe the full model here would use random slopes ('slopes' in
the broad sense since stage is a categorical variable) of stage
(stage|player) - (stage|game) won't work because each game is only one
stage.

   I'm not sure about the definition of 'game_part', but you might want
to add a *fixed* effect of game_part as well as the 'game_part within
game' nested random effect.

   There's probably a huge amount of covariate information you could add
(e.g. player's position, player's age), probably other stuff too (random
effect of team?)

Jorge Teixeira <jorgemmtteixeira using gmail.com> escreveu no dia quinta,
15/12/2022 à(s) 15:17:

> Hi.
>
> 1) Assuming that most are somewhat familiar with football, and that it is
> world cup time, what do you think of this model to compare differences in
> distance covered between stages (group stage vs final stage)?
>
> lmer(distance ~ stage + (1|player) + (1|game/game_part), data=my_data)
>
> 2) In theory, which random slopes do you think should be added, if any?
>
> Thank you.
>

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