3.10 Data: (Empirical) Joint distributions

  • Measurement process: Assign individuals to cells → distribute across cells → distribution

    • 1 variable → univariate distribution
    • 1+ variables → multivariate joint distribution
  • Above units are grouped on three variables (= dimensions): Trust (Y), Threat (D) and Education (X)

  • Q: How many cells? How many dimensions? (How about time?) Jitter?

  • Q: What would the corresponding dataset/dataframe look like?

  • Q: What would a joint distribution with 4 variables look like?

  • Q: What is a conditional distribution?

  • Q: What if two variables are perfectly correlated? What does the join distribution look like?