[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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