Created
December 15, 2021 22:12
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#libs-------------- | |
library(grid) | |
library(tidyverse) | |
library(ggdark) | |
#funs-------------- | |
irt <- function(a,b,c){ | |
theta <- seq(-10,10, length = 500) | |
exponent <- exp(a*(theta-b)) | |
phat <- c + (1-c)*(exponent/(1 + exponent)) | |
return(data.frame(p = phat, theta = theta, | |
a = a, b = b, c = c)) | |
} | |
#difficulty---- | |
diff_df <- lapply(seq(-5,5,by = 1), function(x) irt(1,x,0)) | |
diff_df <- do.call(rbind, diff_df) | |
ggplot(diff_df, aes(x = theta, y = p, color = factor(b))) + | |
geom_line(size = 1) + | |
dark_theme_grey() + | |
scale_y_continuous(limits = c(0,1), | |
breaks = c(0,0.5,1)) + | |
scale_x_continuous(limits = c(-10,10)) + | |
scale_color_discrete(name = "Difficulty") + | |
theme(panel.grid.minor = element_blank(), | |
panel.grid.major.x = element_blank(), | |
axis.title = element_text(size = 20), | |
axis.text = element_text(size = 15), | |
plot.title = element_text(size = 25)) + | |
labs(x = "Latent Trait Value", | |
y = "Predicted Probability", | |
title = "Logistic Curves for Items\nWith Different Difficulties") |
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