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@seanjtaylor
Created November 21, 2017 16:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Loading required package: viridisLite\n"
]
}
],
"source": [
"library(pwr)\n",
"library(ggplot2)\n",
"library(dplyr)\n",
"library(viridis)\n",
"options(repr.plot.height = 4)\n",
"theme_set(theme_bw())"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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rk1nRnPOY/Tqh4l1bkxT9Xnetqh5RvP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ASBzkWg4Zt3545Heq+PQDXvQWr45TKh6AK87QPgbOtW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Z8bKph73tCOvb5a3yxir+SsOS5DolitDycH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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"my.power <- Vectorize(function(ss, sig) { pwr::pwr.2p.test(.10, n = ss, sig.level = sig)$power })\n",
"\n",
"expand.grid(ss = c(125, 250, 500, 1000, 2000, 4000), sig = seq(0.00, 1.0, by = .01)) %>%\n",
" mutate(power = my.power(ss, sig),\n",
" `Sample Size` = factor(ss)) %>%\n",
" ggplot(aes(x = sig, y = power, colour = `Sample Size`, group = `Sample Size`)) +\n",
" geom_line() +\n",
" xlab('Type I Error Rate') +\n",
" ylab('(1 - Type II Error Rate)') +\n",
" scale_colour_viridis(discrete = TRUE) +\n",
" geom_abline(linetype = 'dashed')\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.3.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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