Contents
What is the 95% confidence interval for the Poisson rate?
Poisson (e.g. incidence) rate estimate = 0.035 Exact 95% confidence interval = 0.019135 to 0.058724 Here we can say with 95% confidence that the true population incidence rate for this event lies between 0.02 and 0.06 events per person year.
Which is better the standard error or the Poisson?
Which is at least better and perhaps the discrepancy can be explained by random error (the standard error is about 0.4, so 1 is close to being with a 95% CI for the slope). I’m not sure the model makes sense physically though. The Poisson could come into this, but I think some of the ideas in your question are mistaken.
What can a Poisson process be used for?
A Poisson process is a counting process — it might be used as a model for the flaking events (so the number of such events could be well approximated by a Poisson) but the amount of material each time would be a random quantity.
How to calculate the variance of a compound Poisson?
For the compound Poisson the mean and variance of the unconditional distribution of Y are: E(Y) = λμX where λ is the Poisson mean and μX is the mean of the size-distribution. Var(Y) = λ(μ2X + σ2X), taking σ2X as the variance of the size-distribution.
How to interpret the Poisson coefficient of regression?
We can interpret the Poisson regression coefficient as follows: for a one unit change in the predictor variable, the difference in the logs of expected counts is expected to change by the respective regression coefficient, given the other predictor variables in the model are held constant.
What is the 95% confidence interval for the incidence rate?
Exact 95% confidence interval = 0.019135 to 0.058724. Here we can say with 95% confidence that the true population incidence rate for this event lies between 0.02 and 0.06 events per person year.
How is the Poisson mean of a sample estimated?
The Poisson mean is estimated here as the arithmetic mean of the sample and the confidence interval is estimated using the relationship between the chi-square and Poisson distributions (Stuart and Ord, 1994; Johnson and Kotz, 1969):
What is the relationship between Poisson and chi square?
The relationship between the Poisson and chi-square distributions is employed here (Ulm, 1990): – where Y is the observed number of events, Yland Yuare lower and upper confidence limits for Y respectively, χ2ν,ais the chi-square quantile for upper tail probability on ν degrees of freedom.