# Simulate SRI with individual identification error Generate an estimated simple ratio index under a given rate of missing observations of one individual given that it is present ```r iieSimSRI(aAB, e, n) ``` ## Arguments - `aAB`: The real association rate between individuals A and B - `e`: The probability of failing to observe an individual given it is present in a group - `n`: The number of sampling periods (number of observations of the dyad) ## Details A simple function that simulates data for a given rate of identification error and real association strength. The function returns the simulated simple ratio index and whether the value lies within the 95 percent confidence intervals of the simple ratio index given the number of samples and under the assumption of no error. ## Returns Returns two values: the simulated simple ratio index and whether or not it falls within the 95 percent confidence intervals (1 = yes, 0 = no) ## References Hoppitt, W. & Farine, D.R. (in prep) Association indices for quantifying social relationships: how to deal with missing observations of individuals or groups. ## Author(s) William Hoppitt Damien Farine ## Examples ```r # Set a real association index aAB <- 0.5 # Create a range of errors e <- seq(0,0.8,0.01) # Replicate N times replicates <- 100 # small number used to save computation time # Create a blank storage matrices assocStrength <- matrix(NA,nrow=replicates,ncol=length(e)) inCIs <- matrix(NA,nrow=replicates,ncol=length(e)) # Loop through repeating N times for each error value for (i in 1:length(e)) { for (j in 1:replicates) { out <- iieSimSRI(aAB,e[i],20) assocStrength[j,i] <- out[1] inCIs[j,i] <- out[2] } } # Plot the results par(mfrow=c(1,2)) plot(e,colMeans(assocStrength, na.rm=TRUE), pch=20, ylim=c(0,1), ylab="Simulated SRI") CIs <- apply(assocStrength,2,quantile,c(0.025,0.975),na.rm=TRUE) arrows(e,CIs[1,],e,CIs[2,],len=0.1,code=3,angle=90) abline(h=0.5,col="red") plot(e,colMeans(inCIs, na.rm=TRUE), pch=20, ylim=c(0,1), ylab="Percent of times in CIs") abline(h=0.95, col="red") ```

iieSimSRI function