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Comparing log vs. normal procedures on dataset
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set.seed(17) | |
ci <- function (x, alpha=.05) { | |
z <- -qnorm(alpha / 2) | |
y <- log(x); n <- length(y); s2 <- var(y) | |
m <- mean(y) + s2 / 2 | |
d <- z * sqrt(s2 / n + s2 * s2 / (2 * (n - 1))) | |
exp(c(mean=m, lcl=m-d, ucl=m+d)) | |
} | |
ci.u <- function(x, alpha=.05) { | |
mean(x) + sd(x) * c(mean=0, lcl=1, ucl=-1) / sqrt(length(x)) * qnorm(alpha/2) | |
} | |
trial <- function(n=100) { | |
x <- sample(x, n, TRUE) | |
cbind(ci(x), ci.u(x)) | |
} | |
x <- read.table("titan/time-minisat-2.2.0-distribution/minisat-2.2.0/times.txt")$V1 | |
m <- mean(x) | |
sim <- sapply(1:5000, function(i) trial(100)) | |
sapply(c(LNLCL=2, LCL=5, LNUCL=3, UCL=6), function(i) sum(sim[i,] > m)/dim(sim)[2]) | |
sim <- sapply(1:5000, function(i) trial(200)) | |
sapply(c(LNLCL=2, LCL=5, LNUCL=3, UCL=6), function(i) sum(sim[i,] > m)/dim(sim)[2]) | |
sim <- sapply(1:5000, function(i) trial(500)) | |
sapply(c(LNLCL=2, LCL=5, LNUCL=3, UCL=6), function(i) sum(sim[i,] > m)/dim(sim)[2]) | |
sim <- sapply(1:5000, function(i) trial(1000)) | |
sapply(c(LNLCL=2, LCL=5, LNUCL=3, UCL=6), function(i) sum(sim[i,] > m)/dim(sim)[2]) | |
# output: | |
# | |
# LNLCL LCL LNUCL UCL | |
# 0.0554 0.0146 0.9992 0.9506 | |
# | |
# LNLCL LCL LNUCL UCL | |
# 0.1206 0.0154 1.0000 0.9602 | |
# | |
# LNLCL LCL LNUCL UCL | |
# 0.3844 0.0182 1.0000 0.9658 | |
# | |
# LNLCL LCL LNUCL UCL | |
# 0.7484 0.0194 1.0000 0.9702 |
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