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@seanjtaylor
Created September 6, 2019 06:02
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"── \u001b[1mAttaching packages\u001b[22m ─────────────────────────────────────── tidyverse 1.2.1 ──\n",
"\u001b[32m✔\u001b[39m \u001b[34mggplot2\u001b[39m 3.2.0 \u001b[32m✔\u001b[39m \u001b[34mpurrr \u001b[39m 0.3.2\n",
"\u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 2.1.3 \u001b[32m✔\u001b[39m \u001b[34mdplyr \u001b[39m 0.8.3\n",
"\u001b[32m✔\u001b[39m \u001b[34mtidyr \u001b[39m 0.8.3 \u001b[32m✔\u001b[39m \u001b[34mstringr\u001b[39m 1.4.0\n",
"\u001b[32m✔\u001b[39m \u001b[34mreadr \u001b[39m 1.3.1 \u001b[32m✔\u001b[39m \u001b[34mforcats\u001b[39m 0.4.0\n",
"── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n",
"\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
"\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m masks \u001b[34mstats\u001b[39m::lag()\n"
]
}
],
"source": [
"library(tidyverse)"
]
},
{
"cell_type": "code",
"execution_count": 212,
"metadata": {},
"outputs": [],
"source": [
"library(rmutil)"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {},
"outputs": [],
"source": [
"theme_set(theme_bw())\n",
"options(repr.plot.height = 4, repr.plot.width = 5)"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IHQEVi2bJnzo2rXrl1GttGDlREuMkMg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\n/wN9Lp4c64oLYQAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tibble(x = rlaplace(10000, s = 0.05)) %>%\n",
" ggplot(aes(x = x)) + geom_density() + xlab('Effect') + ylab('Density')"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [],
"source": [
"sims <- tibble(rep = 1:10000) %>%\n",
" group_by(rep) %>% do({\n",
" effect <- rlaplace(1, s = .05)\n",
" C <- rnorm(1000) \n",
" T <- rnorm(1000) + effect\n",
" tibble(effect = effect,\n",
" est = mean(T) - mean(C), \n",
" sem = sqrt(var(T - C)/1000),\n",
" p = t.test(T, C, alternative = 'greater')$p.value)\n",
" }) %>%\n",
" ungroup() %>%\n",
" arrange(p)"
]
},
{
"cell_type": "code",
"execution_count": 211,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CKQCCQCiUAisEkjkARrk67+LHwikAgk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uE7k2Je8IjTSRiyAYFh3R1qUpXn/RVpVL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\nQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sims %>%\n",
" ungroup() %>%\n",
" arrange(p) %>%\n",
" sample_n(5000) %>%\n",
" ggplot(aes(x = p, y = effect)) + \n",
" geom_point(size = .1) +\n",
" xlab('Estimated P-value') +\n",
" ylab('True Effect') +\n",
" geom_vline(xintercept = 0.05, linetype = 'dashed') +\n",
" annotate(x = 0.28, y = 0.25, geom = 'text', label = 'p<0.05 launch criterion')"
]
},
{
"cell_type": "code",
"execution_count": 190,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AKCgCAgCAgCgoAg4GEEhGB5GFDJThAQBAQBQUAQEAQEASFYcg8IAoKAICAICAKC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\n4/vLL7/seIpjEAABEAABEAABEDA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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tibble(alpha = 2^seq(-6, 4, by = 1)) %>%\n",
" group_by(alpha) %>% do({\n",
" alpha <- .$alpha\n",
" tibble(effect = seq(-1, 1, by = .01)) %>% \n",
" mutate(value = if_else(effect > 0, effect, effect * alpha))\n",
" }) %>%\n",
" filter(effect < 0 | alpha == 1, value > -4) %>%\n",
" ggplot(aes(x = effect, y = value, colour = alpha, group = alpha)) + \n",
" geom_line() + \n",
" viridis::scale_colour_viridis() +\n",
" ylab('Value') +\n",
" xlab('Experiment Effect') +\n",
" geom_hline(yintercept = 0, linetype = 'dashed') +\n",
" geom_vline(xintercept = 0, linetype = 'dashed') +\n",
" ggtitle('Magnitude-based Value Functions')"
]
},
{
"cell_type": "code",
"execution_count": 191,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SB3CZx33nly5JFH5i4ASk4CJJDTBHytYGEvpmeffVZvG5DTrUThSSCABLB1yapV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\nAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tibble(alpha = 2^seq(-6, 2, by = 0.5)) %>%\n",
" group_by(alpha) %>% do({\n",
" alpha <- .$alpha\n",
" tibble(effect = seq(-1, 1, by = .01)) %>% \n",
" mutate(value = if_else(effect > 0, 1, -alpha))\n",
" }) %>%\n",
" filter(effect < 0 | alpha == 1) %>%\n",
" ggplot(aes(x = effect, y = value, colour = alpha, group = alpha)) + \n",
" geom_line() + \n",
" viridis::scale_colour_viridis() +\n",
" ylab('Value') +\n",
" xlab('Experiment Effect') +\n",
" geom_hline(yintercept = 0, linetype = 'dashed') +\n",
" geom_vline(xintercept = 0, linetype = 'dashed') +\n",
" ggtitle('Sign-Based Value Functions')"
]
},
{
"cell_type": "code",
"execution_count": 192,
"metadata": {},
"outputs": [],
"source": [
"best_p_linear <- tibble(alpha = 2^seq(-6, 4, by = 0.5)) %>%\n",
" group_by(alpha) %>% do({\n",
" alpha <- .$alpha\n",
" sims %>%\n",
" arrange(p) %>%\n",
" mutate(total_effect = cumsum(if_else(effect > 0, effect, effect * alpha))) %>%\n",
" arrange(-total_effect) %>%\n",
" head(1) %>%\n",
" select(p)\n",
" })"
]
},
{
"cell_type": "code",
"execution_count": 193,
"metadata": {},
"outputs": [],
"source": [
"best_p_step <- tibble(alpha = 2^seq(-6, 4, by = 0.5)) %>%\n",
" group_by(alpha) %>% do({\n",
" alpha <- .$alpha\n",
" sims %>%\n",
" arrange(p) %>%\n",
" mutate(total_effect = cumsum(if_else(effect > 0, 1, -alpha))) %>%\n",
" arrange(-total_effect) %>%\n",
" head(1) %>%\n",
" select(p)\n",
" })"
]
},
{
"cell_type": "code",
"execution_count": 213,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7tH0k24YMECadasmdxzzz3RHCXbIgES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\nBSsnqMs1hYAQEAJCQAgIgZAm8H8b/S2drsLJWgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bind_rows(best_p_step %>% mutate(`Value Function` = 'Sign-based'),\n",
" best_p_linear %>% mutate(`Value Function` = 'Magnitude-based')) %>%\n",
" ggplot(aes(x = alpha, y = p, colour = `Value Function`)) + geom_line() +\n",
" ylim(0, 1) +\n",
" ylab('Optimal Launch Threshold') +\n",
" xlab('Cost Ratio (Alpha)') +\n",
" geom_hline(yintercept = 0.05, linetype = 'dashed') +\n",
" geom_vline(xintercept = 1, linetype = 'dashed') +\n",
" annotate(x = 10, y = 0.08, geom = 'text', label = 'p<0.05 launch criterion') +\n",
" annotate(x = 4, y = 0.5, geom = 'text', label = 'symmetric cost case') +\n",
" theme(legend.position=c(0.8,0.8))"
]
}
],
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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