Model specification:
gd <- glmer(charges ~ game_day + (1|venue), charge.tot, family=poisson(link = "log"))
| (Intercept) | game_day1 |
|---|---|
| 3.76 | 0.59 |
Model specification (this model was used in the simulation function to estimate 95% confidence intervals for each regression parameter):
glmer(charges ~ game_day + game_day:charge_type + (1|venue), charge.sum, family=poisson(link = "log"))
| lower | upper | mean | term | |
|---|---|---|---|---|
| 1 | -1.386 | 1.769 | 0.154 | endangering children |
| 3 | -1.792 | 1.099 | -0.351 | harassment |
| 5 | -1.792 | 1.099 | -0.348 | menacing |
| 6 | -1.609 | 1.609 | -0.060 | minor alcohol |
| 8 | 0.000 | 2.565 | 1.114 | other |
| 10 | 0.754 | 3.091 | 1.678 | property |
| 12 | 0.827 | 3.219 | 1.784 | resisting arrest |
| 14 | 0.000 | 2.485 | 1.023 | robbery |
| 16 | 2.067 | 4.263 | 2.897 | violent |
Model specifications for competitive models returned by AICc model selection, followed by regression coefficients of the fixed-effect terms.
These results are overwhelming because when comparing the interaction of categorical variables, there is a coefficient for each level of each variable with every level of the other
## glmer(formula = charges ~ charge_type:hr2 + (1 | venue), data = clev.time,
## family = Gamma(link = "identity"))
## (Intercept) charge_typeDOMESTIC VIOLENCE:hr2
## 1.069 0.016
## charge_typeENDANGERING CHILDREN:hr2 charge_typeHARASSMENT:hr2
## -0.005 -0.003
## charge_typeMENACING:hr2 charge_typeMINOR ALCOHOL:hr2
## -0.001 -0.004
## charge_typeOTHER:hr2 charge_typePROPERTY:hr2
## 0.006 0.015
## charge_typeRESISTING ARREST:hr2 charge_typeROBBERY:hr2
## 0.016 0.008
## charge_typeVIOLENT:hr2
## 0.069
## glmer(formula = charges ~ game_day:hr2:charge_type + (1 | venue),
## data = clev.time, family = Gamma(link = "identity"))
## (Intercept)
## 0.995
## game_dayNo:hr2:charge_typeDOMESTIC VIOLENCE
## 0.025
## game_dayYes:hr2:charge_typeDOMESTIC VIOLENCE
## 0.015
## game_dayYes:hr2:charge_typeENDANGERING CHILDREN
## 0.000
## game_dayNo:hr2:charge_typeHARASSMENT
## 0.000
## game_dayYes:hr2:charge_typeHARASSMENT
## 0.000
## game_dayNo:hr2:charge_typeMENACING
## 0.004
## game_dayYes:hr2:charge_typeMENACING
## 0.000
## game_dayYes:hr2:charge_typeMINOR ALCOHOL
## 0.000
## game_dayNo:hr2:charge_typeOTHER
## 0.006
## game_dayYes:hr2:charge_typeOTHER
## 0.014
## game_dayNo:hr2:charge_typePROPERTY
## 0.028
## game_dayYes:hr2:charge_typePROPERTY
## 0.015
## game_dayNo:hr2:charge_typeRESISTING ARREST
## 0.000
## game_dayYes:hr2:charge_typeRESISTING ARREST
## 0.022
## game_dayNo:hr2:charge_typeROBBERY
## 0.012
## game_dayYes:hr2:charge_typeROBBERY
## 0.012
## game_dayNo:hr2:charge_typeVIOLENT
## 0.035
## game_dayYes:hr2:charge_typeVIOLENT
## 0.099