Bayesian Credible Interval for an IQ Test Score
Properties of the test instrument
Test reliability:
Between-person standard deviation of the test scores (e.g. 15 for IQ scores, or 1 for z scores)
Obtained test score
Observed test score
Prior
Mean of prior
SD of prior (enter large value, such as 999, for flat prior)
This app extends
code
from Quentin Gronau and Richard Morey.
"Bob's IQ" is an example from the paper:
Wagenmakers, E.-J., Morey, R. D., & Lee, M. D. (2016). Bayesian benefits for the pragmatic researcher. Current Directions in Psychological Science, 25, 169–176. doi:10.1177/0963721416643289.
Technical details: The app assumes a known (fixed) variance for the single data point, which is derived from the reliability of the measurement instrument.