Published

October 15, 2025

Modified

September 26, 2025

About

This page generates data visualizations related to the Elkind (1961) study. In the original paper, the data were presented in tabular form.

Setup

Code
suppressPackageStartupMessages(library(ggplot2))
suppressPackageStartupMessages(library(dplyr))

Table 1

Code
age_yrs <- c(5, 6, 7, 8, 9, 10, 11)
quantity_type <- c("mass", "weight", "volume")
age <- rep(age_yrs, length(quantity_type))
conservation_type <- rep(quantity_type, each = length(age_yrs))

pct <- c(19, 51, 70, 72, 86, 94, 92,
         21, 52, 51, 44, 73, 89, 78,
         0, 4, 0, 4, 4, 19, 25)

conservation <- data.frame(age = age, type = conservation_type, pct = pct)
Code
conservation |>
  ggplot() +
  geom_point(aes(x = age, y = pct, color = type)) +
  geom_line(aes(x = age, y = pct, color = type, group = type)) +
  guides(color = guide_legend("Judgment type")) +
  ylim(0, 100)
Figure 1: Data from Elkind (1961) Table 1 presented as a figure. The percentages indicated are the percent of \(n\)=25 children who met the criterion for showing conservation for the indicated property type.

Table 2

Code
age_yrs <- c(5, 6, 7, 8, 9, 10, 11)
explanation_type <- c("romancing", "perceptual", "specific", "general")
age <- rep(age_yrs, length(explanation_type))
explanation <- rep(explanation_type, each = length(age_yrs))

pct <- c(4, 3, 7, 7, 0, 1, 1,
         85, 64, 53, 57, 36, 31, 33,
         11, 33, 40, 36, 60, 51, 49,
         0, 0, 0, 0, 4, 16, 18)

explanations <- data.frame(age = age, type = explanation, pct = pct)
Code
explanations |>
  ggplot() +
  geom_point(aes(x = age, y = pct, color = type)) +
  geom_line(aes(x = age, y = pct, color = type, group = type)) +
  guides(color = guide_legend("Explanation type")) +
  ylim(0, 100)
Figure 2: Data from Elkind (1961) Table 2 presented as a figure. The percentages indicated are the percent of \(n\)=25 children who provided explanations of the indicated type.

References

Elkind, D. (1961). Children’s discovery of the conservation of mass, weight, and volume: Piaget replication study. II. The Journal of Genetic Psychology, 98, 219–227. https://doi.org/10.1080/00221325.1961.10534372