1. Which of the following Is correct? a) Overdispersion is a concern for Poisson regression but...
1. Which of the following Is correct?
a) Overdispersion is a concern for Poisson regression but not for logistic regression
b) For both logistic and poission regression, the variance of the response equals the expectation of the response given the predicting variables.
c) Overdispersion affects the reliability of our statistical inferences if not modeled correctly
d) Under overdispersion, the observed variance is smaller than the variance implied by our model.
Homework Answers
a) Overdispersion is a concern for Poisson regression but not for logistic regression
Ans: False. Reason: both the model concern for the overdispersion.
b) For both logistic and poission regression, the variance of the response equals the expectation of the response given the predicting variables.
Ans: False. Reason: For Poisson regression, the variance of the response equals the expectation of the response given the predicting variables whereas it does not assume for the logistic regression.
c) Overdispersion affects the reliability of our statistical inferences if not modeled correctly.
Ans: True
d) Under overdispersion, the observed variance is smaller than the variance implied by our model.
Ans: False. Reason: When the observed variance is higher than the variance of a theoretical model, overdispersion has occurred.
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