Created
August 16, 2018 16:03
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| library(tidyverse) | |
| library(cowplot) | |
| library(scales) | |
| library(colorblindr) | |
| point_map <- tribble(~place, ~old_value, ~new_value, | |
| 1,6,10, | |
| 2,5,7, | |
| 3,4,4, | |
| 4,3,2, | |
| 5,2,1, | |
| 6,1,1, | |
| 7,0,0 | |
| ) | |
| simulations <- crossing(simulation=seq_len(5000), floor_game=seq_len(7), participating_floor=seq_len(7)) %>% | |
| group_by(simulation, floor_game) %>% | |
| mutate(place=sample(seq_len(7), 7, replace=FALSE)) %>% | |
| left_join(point_map) | |
| results <- simulations %>% | |
| group_by(simulation, participating_floor) %>% | |
| summarise(new_total=sum(new_value), old_total=sum(old_value)) %>% | |
| group_by(simulation) %>% | |
| mutate(new_rank = factor(min_rank(desc(new_total)), levels=seq_len(7)), old_rank=factor(min_rank(desc(old_total)), seq_len(7))) | |
| # what do the new ranks look like compared to old? | |
| p1 <- results %>% | |
| group_by(new_rank, old_rank) %>% | |
| summarise(count=n()) %>% | |
| group_by(old_rank) %>% | |
| mutate(proportion=count/sum(count)) %>% | |
| ggplot(aes(x=new_rank, y=proportion)) + | |
| geom_bar(aes(fill=old_rank), stat="identity", show.legend=FALSE) + | |
| facet_wrap(~paste("Old Rank", old_rank)) + | |
| scale_y_continuous("Percentage", labels = percent_format()) + | |
| scale_x_discrete("New Rank") + | |
| scale_fill_OkabeIto() + | |
| ggtitle("New scoring system","1st and 7th don't change much, others change more") | |
| p2 <- simulations %>% group_by(simulation, participating_floor, place) %>% summarise(count=n()) %>% left_join(results %>% select(simulation, participating_floor, new_rank, old_rank)) %>% gather("new_or_old", "rank", -simulation, -participating_floor, -place, -count) %>% filter(rank %in% c(1,2,3)) %>% group_by(place, new_or_old, rank) %>% summarise(count=sum(count)) %>% ggplot(aes(x=place, y=count)) + geom_bar(aes(fill=new_or_old), stat="identity", show.legend=FALSE) + facet_grid(paste("rank=", rank)~new_or_old) + scale_fill_OkabeIto() + ggtitle("Distribution of placements in individual games", "In new system, 1st counts more!") | |
| p3 <- plot_grid(p1, p2, ncol=1, nrow=2) | |
| ggsave("~/research/procrasti_cup.png", p3, width=6, height=12) |
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