| Tag | Value |
|---|---|
| file | Descriptive-statistics_vufgb-variance-002-en_vufgb-variance-002-en |
| name | vufgb-variance-002-en |
| section | Descriptive statistics/Summary Statistics/Measures of Spread/Variance |
| type | schoice |
| solution | FALSE, TRUE, FALSE, FALSE |
| Type | Calculation, Interpreting output |
| Program | |
| Language | English |
| Level | Statistical Thinking |
See table below. A study examined differences in income among three ethnic groups in the United States (N = 80). The independent variable race had three levels: 1) White, 2) Hispanic and 3) Black. The dependent variable is income (inc), and years of education (educ) is used as a covariate. Given is the following output from a GLM.
Tips:
In ANCOVA, the number of degrees of freedom for a covariate equals 1.
In an ANCOVA with an interaction between covariate and factor, the number of degrees of freedom for the Error equals n - 2 × g.
The degrees of freedom for the interaction are equal to the product of the degrees of freedom of Covariate and Factor.
For a true ANCOVA, the number of degrees of freedom for the Error is equal to n - g - 1.
The variance of the dependent variable inc falls in the interval: