[R-sig-ME] cloglog logistic regression interpretation
Javier Atalah
Javier.Atalah at cawthron.org.nz
Wed Jan 7 03:36:52 CET 2015
Hi,
Could someone advise me on how to interpret the estimates from a logistic regression using a cloglog link?
I have fitted the following model in lme4:
glm(cbind (dead, live) ~ time + factor(temp) * biomass, data=mussel, family='binomial' (link=cloglog))
Estimate Std. Error z value Pr(>|z|)
(Intercept) -4.970 0.428 -11.61 3.64E-31
time 0.015 0.001 12.15 5.81E-34
temp19 2.845 0.235 12.1 1.00E-33
biomassL -0.654 0.148 -4.42 9.73E-06
temp19:biomassL 0.484 0.194 2.49 1.27E-02
Is it correct to say, for example, the estimate of time is 0.015
Thus 1 - (EXP (-EXP (-0.015))) = 0.627
That means the probability of mortality is increasing 62.7% per unit increase of time if all other variables were held constant?
Many thanks in advance.
Javier
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