reciptest2: Statistical tests for social reciprocity
In DLEIVA/DyaDA: Dyadic Data Analysis

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

Estimating statistical significance for social reciprocity statistics at different levels of analysis.

1	reciptest(X, pi ,rep=9999, names=NULL, label=FALSE)

`X`	Original sociomatrix. Matrix X must be square.
`pi`	Matrix of probabilities Pij that specifies the null hypothesis regarding social reciprocity. Pi must be a square matrix
`rep`	Number of simulations for carrying out the randomization test. Number of simulations must be between 1 and 1000000.
`names`	Character vector with the names of individuals. IF label TRUE. then this vector should be specified.
`label`	Logical flag. TRUE. if names of individuals will be provided. Otherwise FALSE.

reciptest estimates statistical significance for several measures of social reciprocity at different levels of analysis: overall measures of social reciprocity as PHIr, see getPHIr; dyadic measures as PHIij, see getPHIij; and individual measures as phii, see getphii. This procedure simulates a number of sociomatrices under specified null hypothesis regarding social reciprocity (e.g. complete reciprocation) by means of callings to a C routine included in the package, then computes the reciprocity measures at different levels. After rep simulations the sampling distributions for the statistics are estimated. Then statistical significance is computed as follows: p=NS+1/NOS+1 where NS is the number of times that simulated values is as great as or greater than the empirical values and NOS represents the number of simulated values when p-right value is computed. When estimating p-left value NS is the number of times that simulated values is as great as or lower than the empirical values.

`PHIr`	Overall measure of asymmetry in social interactions.
`PHIrexpec`	Mathematical expectancy of the PHIr statistic.
`PHIrSE`	Standard error of the PHIr statistic.
`phii`	Individuals' contributions to asymmetry as actors.
`phij`	Individuals' contributions to asymmetry as partners.
`phirmat`	Dyadic directional contributions to asymmetry.
`PHIij`	Dyadic contributions to asymmetry.

David Leiva dleivaur@ub.edu, Antonio Solanas antonio.solanas@ub.edu.

Solanas, A., Leiva, D., Sierra, V., & Salafranca, Ll. (2009). Measuring and making decisions for social reciprocity. Behavior Research Methods, 41, 742-754.

getPHIr, getphii, getphij, getphirmat, getPHIij

  X=matrix(c(0, 1, 2, 1, 0, 1, 3, 1, 0),nrow=3,ncol=3)
  pi=matrix(c(0, 0.5, 0.5, 0.5, 0, 0.5, 0.5, 0.5, 0),nrow=3,ncol=3)
  rep=99999
  names=c("Ind.1","Ind.2","Ind.3")