margMLECI: Compute the marginal MLE confidence interval for the phi

In dkahle/poisDoubleSamp: Confidence Intervals with Poisson Double Sampling

Description

Compute the marginal MLE confidence interval of the ratio of two Poisson rates in a two-sample Poisson rate problem with misclassified data given fallible and infallible datasets.

Usage

margMLECI(data, N1, N2, N01, N02, conf.level = 0.95, l = 1e-10, u = 1e+10)

Arguments

data	the vector of counts of the fallible data (z11, z12, z21, z22) followed by the infallible data (m011, m012, m021, m022, y01, y02)
N1	the opportunity size of group 1 for the fallible data
N2	the opportunity size of group 2 for the fallible data
N01	the opportunity size of group 1 for the infallible data
N02	the opportunity size of group 2 for the infallible data
conf.level	confidence level of the interval
l	the lower end of the range of possible phi's (for optim)
u	the upper end of the range of possible phi's (for optim)

Value

a named vector containing the lower and upper bounds of the confidence interval

Examples

## Not run: 

# small example
z11 <- 34; z12 <- 35; N1 <- 10;
z21 <- 22; z22 <- 31; N2 <- 10;
m011 <- 9; m012 <- 1; y01 <- 3; N01 <- 3;
m021 <- 8; m022 <- 8; y02 <- 2; N02 <- 3;
data <- c(z11, z12, z21, z22, m011, m012, m021, m022, y01, y02)

waldCI(data, N1, N2, N01, N02)
margMLECI(data, N1, N2, N01, N02)
profMLECI(data, N1, N2, N01, N02)
approxMargMLECI(data, N1, N2, N01, N02)


# big example :
z11 <- 477; z12 <- 1025; N1 <- 16186;
z21 <- 255; z22 <- 1450; N2 <- 18811;
m011 <- 38;  m012 <- 90; y01 <- 15; N01 <- 1500;
m021 <- 41; m022 <- 200; y02 <-  9; N02 <- 2500;
data <- c(z11, z12, z21, z22, m011, m012, m021, m022, y01, y02)

waldCI(data, N1, N2, N01, N02)
margMLECI(data, N1, N2, N01, N02)
profMLECI(data, N1, N2, N01, N02)
approxMargMLECI(data, N1, N2, N01, N02)




## End(Not run)

dkahle/poisDoubleSamp documentation built on May 15, 2019, 9:09 a.m.