powconsistencytest: Power of Consistency Tests, Partial Stratification
In mbtyers/recapr: Two Event Mark-Recapture Experiment

Description Usage Arguments Value Note Author(s) References See Also Examples

Conducts power calculations of the chi-squared tests for the consistency of the Petersen-type abundance estimator, in a partial stratification setting, such as by time or geographic area. In the case of partial stratification, individuals may move from one stratum to another between the first and second sampling events, and strata do not need to be the same between events.

1	powconsistencytest(n1, n2, pmat, alpha = 0.05, sim = TRUE, nsim = 10000)

`n1`	Vector of anticipated n1 counts (sample size in the first event), each element corresponding to one stratum.
`n2`	Vector of anticipated n2 counts (sample size in the second event), each element corresponding to one stratum.
`pmat`	Matrix of assumed movement probabilities between strata, with rows corresponding to first-event strata and columns corresponding to second-event strata, and an additional column corresponding to the probability of NOT being recaptured in the second event. Values will be standardized by row, that is, by first-event strata. See note on usage below.
`alpha`	Significance level for testing. Defaults to `0.05`
`sim`	Whether to conduct power calculation by simulation as well as Cohen's method. Defaults to `TRUE`.
`nsim`	Number of simulations if `sim` is `TRUE`. Defaults to `10000`.

An object of class "recapr_consistencypow" with the following components:

pwr1_c Power of the first test, according to Cohen's method
pwr1_sim Power of the first test, from simulation
ntest1 The sample size used for the first test
p0test1 The null-hypothesis probabilities for the first test
p1test1 The alt-hypothesis probabilities for the first test
pwr2_c Power of the second test, according to Cohen's method
pwr2_sim Power of the second test, from simulation
ntest2 The sample size used for the second test
p0test2 The null-hypothesis probabilities for the second test
p1test2 The alt-hypothesis probabilities for the second test
pwr3_c Power of the third test, according to Cohen's method
pwr3_sim Power of the third test, from simulation
ntest3 The sample size used for the third test
p0test3 The null-hypothesis probabilities for the third test
p1test3 The alt-hypothesis probabilities for the third test
alpha The significance level used

The movement probability matrix specified in pmat is considered conditional on each row, that is, first-event strata, with columns corresponding to second-event strata and the final column specifying the probability of not being recaptured in the second event. Values do not need to sum to one for each row, but will be standardized by the function to sum to one.

A pmat with a first row equal to (0.05, 0.1, 0.15, 0.7) would imply a 5 percent chance that individuals captured in the first-event strata 1 will be recaptured in second-event strata 1, and a 70 percent chance that individuals captured in the first-event strata 1 will not be recaptured in event 2.

Because of the row-wise scaling, specifying a row equal to (0.05, 0.1, 0.15, 0.7) would be equivalent to that row having values (1, 2, 3, 14).

Matt Tyers

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale,NJ: Lawrence Erlbaum.

Code adapted from the 'pwr' package: Stephane Champely (2015). pwr: Basic Functions for Power Analysis. R package version 1.1-3. https://CRAN.R-project.org/package=pwr

consistencytest, NDarroch

mat <- matrix(c(4,3,2,1,10,3,4,3,2,10,2,3,4,3,10,1,2,3,4,10),
    nrow=4, ncol=5, byrow=TRUE)
powconsistencytest(n1=c(50,50,50,50), n2=c(50,50,50,50), pmat=mat)

mat <- matrix(c(4,3,2,1,10,4,3,2,1,10,4,3,2,1,10,4,3,2,1,10),
    nrow=4, ncol=5, byrow=TRUE)
powconsistencytest(n1=c(50,50,50,50), n2=c(50,50,50,50), pmat=mat)

mat <- matrix(c(1,1,1,1,10,2,2,2,2,10,3,3,3,3,10,4,4,4,4,10),
    nrow=4, ncol=5, byrow=TRUE)
powconsistencytest(n1=c(50,50,50,50), n2=c(50,50,50,50), pmat=mat)

mat <- matrix(c(1,1,1,1,10,1,1,1,1,10,1,1,1,1,10,1,1,1,1,10),
    nrow=4, ncol=5, byrow=TRUE)
powconsistencytest(n1=c(50,50,50,50), n2=c(20,30,40,50), pmat=mat)

mat <- matrix(c(1,1,1,1,5,1,1,1,1,8,1,1,1,1,10,1,1,1,1,15),
    nrow=4, ncol=5, byrow=TRUE)
powconsistencytest(n1=c(50,50,50,50), n2=c(50,50,50,50), pmat=mat)