# ‘Ratings’ is collected on a 7-point Likert scale

Data$Height <- 1/2*scale(Data$Height)

Data$Chord <- factor(Data$Chord)

Data$Number <- factor(Data$Number)

mdlchord <- brm(Ratings ~ 1 + Height + I(Height^2) + Chord + (1 |Number),

prior = c(set_prior (“student_t(3,0,2.5)”, class = “b”)),

data = Data, family = cumulative(“logit”), save_all_pars = TRUE,

warmup = 1000, iter = 4000, init = 0, cores = 4)

For the population level effects I get

Population-Level Effects:

Estimate Est.Error l-95% CI u-95% CI Eff.Sample Rhat

Intercept[1] -2.49 0.18 -2.85 -2.12 166 1.03

Intercept[2] -1.06 0.18 -1.42 -0.70 164 1.03

Intercept[3] 0.01 0.18 -0.35 0.37 166 1.03

Intercept[4] 0.70 0.18 0.34 1.06 167 1.03

Intercept[5] 1.86 0.18 1.50 2.23 166 1.03

Intercept[6] 3.19 0.18 2.83 3.56 166 1.03

Height -0.06 1.96 -3.84 3.94 4000 1.00

IHeightE2 -0.07 1.94 -3.99 3.82 4000 1.00

Chord2 -1.18 0.30 -1.77 -0.58 4000 1.01

Chord3 -0.29 0.28 -0.83 0.27 437 1.01

Chord4 -0.46 0.28 -1.01 0.07 475 1.01

Chord5 -0.02 0.27 -0.55 0.50 413 1.01

Chord6 -0.24 0.29 -0.82 0.32 384 1.01

Chord7 -0.04 0.28 -0.57 0.50 551 1.01

Chord8 0.39 0.28 -0.13 0.94 4000 1.01

Chord9 0.55 0.30 -0.02 1.13 4000 1.01

Chord10 -0.52 0.29 -1.07 0.06 589 1.01

I’m looking for the effect sizes of the chords after taking account of Height.

What is my effect size for Chord1?

Thanks