simInfl | R Documentation |
This function simulates linear regressions and stores the parameters and influence measures of all simulations that resulted in LOO significance reversal, developed for research purposes.
simInfl(x = 1:10, slope = 0.02, intercept = 1, error = 0.05, nrev = 1000, ...)
x |
the x values to be supplied to |
slope |
the slope β_1 to be supplied to |
intercept |
the intercept β_0 to be supplied to |
error |
the \varepsilon value to be supplied to |
nrev |
the number of desired significance reversals. |
... |
other parameters to |
Loops over an undefined number of EXACT regressions (lmExact
) with incrementing random seeds, stores all models and in case of significance reversal, parameters and influence measures (lmInfl
). The simulation terminates when nrev
reversals are counted.
A list with the following two items:
models |
the linear models of all reversals. |
mat |
the stored matrix with the resulting parameters and influence measures for all |
Andrej-Nikolai Spiess
## Example with slight slope, intercept = 0.5 and 10 reversals. res <- simInfl(x = 1:10, intercept = 0.5, slope = 0.02, error = 0.05, nrev = 10) ## Plot Cook's D versus delta-P values ## and insert common cut-off. plot(res$mat[, "cook.d"], res$mat[, "dP"], pch = 16, cex = 0.5, xlab = "Cook's D", ylab = "delta-P") thresh <- qf(0.5, 2, 8) # threshold value for Qf(0.5, npar, df) abline(v = thresh, col = "darkred", lwd = 2) ## Plot dfbeta slope versus delta-P values ## and insert common cut-off. plot(res$mat[, "dfb.Slope"], res$mat[, "dP"], pch = 16, cex = 0.5, xlab = "dfbeta Slope", ylab = "delta-P") thresh <- 2/sqrt(10) # 2/sqrt(N) abline(v = thresh, col = "darkred", lwd = 2) ## Plot dffits versus delta-P values ## and insert common cut-off. plot(abs(res$mat[, "dffit"]), res$mat[, "dP"], pch = 16, cex = 0.5, xlab = "dffits", ylab = "delta-P") thresh <- 2 * sqrt(2/10) # 2 * sqrt(nPar/N) abline(v = thresh, col = "darkred", lwd = 2) ## More illustrative with more reverser samples! ## Example with slight slope, intercept = 0.5 and 10 reversals. res <- simInfl(x = 1:10, intercept = 0.5, slope = 0.02, error = 0.05, nrev = 200) plot(res$mat[, "cook.d"], res$mat[, "dP"], pch = 16, cex = 0.5, xlab = "Cook's D", ylab = "delta-P") thresh <- qf(0.5, 2, 8) # threshold value for Qf(0.5, npar, df) abline(v = thresh, col = "darkred", lwd = 2)
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