Multilevel Model - Level 2 Regression Equation

Level 2 Regression Equation

The dependent variables are the intercepts and the slopes for the independent variables at Level 1 in the groups of Level 2.

β0j = γ00 + γ01Wj +u0j

β1j = γ10 + u1j

  • γ00 refers to the overall intercept. This is the grand mean of the scores on the dependent variable across all the groups when all the predictors are equal to 0.
  • Wj refers to the Level 2 predictor.
  • γ01 refers to the overall regression coefficient, or the slope, between the dependent variable and the Level 2 predictor.
  • u0j refers to the random error component for the deviation of the intercept of a group from the overall intercept.
  • γ10 refers to the overall regression coefficient, or the slope, between the dependent variable and the Level 1 predictor.
  • u1j refers to the error component for the slope (meaning the deviation of the group slopes from the overall slope).

Read more about this topic:  Multilevel Model

Famous quotes containing the words level and/or equation:

    The man who loves other countries as much as his own stands on a level with the man who loves other women as much as he loves his own wife.
    Theodore Roosevelt (1858–1919)

    Jail sentences have many functions, but one is surely to send a message about what our society abhors and what it values. This week, the equation was twofold: female infidelity twice as bad as male abuse, the life of a woman half as valuable as that of a man. The killing of the woman taken in adultery has a long history and survives today in many cultures. One of those is our own.
    Anna Quindlen (b. 1952)