A Contrast Expresses an Effect in the Population as a Combination

Multiple Choice

A contrast expresses an effect in the population as a combination of population means,of the form .The contrast can be estimated or tested using the sample data.Which of the following statements about or properties of contrasts is/are FALSE?

A) The corresponding sample contrast is
.
B) The coefficients of the contrast must sum to one,
.
C) The standard error of a sample contrast is given by
.
D) To test the hypothesis that the population contrast
= 0,the test statistic is

,which follows the t distribution with DFE associated with

From the ANOVA.
E) The confidence interval for
Takes the form

,where

Is the appropriate value of the t(DFE) distribution.