Tag | Value |
---|---|
file | Inferential_Statistics_uva-sum-of-squares-73-en_uva-sum-of-squares-73-en |
name | uva-sum-of-squares-73-en |
section | Inferential Statistics/Regression/Sum of squares |
type | schoice |
solution | FALSE, TRUE, FALSE |
Type | Conceptual |
Language | English |
Level | Statistical Literacy |
IRT-Difficulty | 4.033 |
p-value | 0.1078 |
In an ANOVA, the difference in averages can be described in terms of regression. Suppose a one-way ANOVA (one factor) with three groups is converted into a regression with the following coding:
——- ——– ——– ——————— ——————- group x1 x2 averages interpretation β 1 1 0 μ1 = α + β1 2 0 1 μ2 = α + β2 3 0 0 μ3 = α ——- ——– ——– ——————— ——————-
The interpretation of β3 is clear, which is α.The interpretation of the other two coefficients is as follows: