Which of the Following Statements Are Not True?
A) in a Two-Factor

question 6

Multiple Choice

Which of the following statements are not true?

• A) In a two-factor experiment there are I levels of one factor and J levels of the other factor. When there is more than one observation for at least one (i,j) pair of the IJ combinations of levels of the two factors, a valid estimator of the random error variance \(\sigma ^ { 2}\)
• Cannot be obtained without assuming additivity.
• B) In a two-factor experiment, additivity means that the difference in true average responses for any two levels of one of the factors is the same for each level of the other factor.
• C) The parameters for the fixed effects model with interaction are \(\alpha _ { i } = \mu _ {i } - \mu =\)
• The effect of factor A at level \(i , \beta _ { j } = \mu. j - \mu =\)
• The effect of factor B at level j, and \(\lambda _ { y } = \mu _ { y } - \left( \mu + \alpha _ { i } + \beta _ { j } \right) =\)
• The interaction of factor A at level i and factor B at level j. Thus, the model is \(\mu _ { y } = \mu + \alpha _ { i } + \beta _ { j } + \gamma _ { y }\)
• This model is additive if and only if \(y _ { y } = 0 \text { for all } ( i , j )\)
• D) All of the above statements are true.
• E) None of the above statements are true.

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Definitions:

Equal Incentives

Involves providing the same rewards or bonuses to all employees or members of a group to ensure fairness and motivation across the board.

Standard Error

The standard deviation of the sampling distribution of a statistic, often used as a measure of variability.

Confidence Interval

An extent of values, based on sample statistics, that is likely to capture the essence of an undisclosed population parameter.

Sample

Subset or portion of a population.