A Two-Factor Experiment Where Factor a Consists of I Levels

question 56

Multiple Choice

A two-factor experiment where factor A consists of I levels, factor B consists of J levels, and there is only one observation on each of the IJ treatments, can be represented by the model $X _ { 4 } = \mu + \alpha _ { i } + \beta _ { j } + \varepsilon _ { y } \text { where } \sum _ { i = 1 } ^ { j} \alpha _ { i } = 0 \text { and } \sum _ { j = 1 } ^ { j } \beta _ { j } = 0$ . Which of the following is the correct form in testing the null hypothesis that the different levels of factor A have no effect on true average response?

• A) : \(\alpha _ { 1 } = \alpha _ { 2 } = \ldots \ldots = \alpha _ { j } = 0\)
• B) \( : \beta _ { 1 } = \beta _ { 1 } = \ldots \ldots = \beta _ { 3 } = 0\)
• C) \( \text { : at least one } \alpha _ { i } \neq 0\)
• D) \( \text { : at least one } \beta _ { \mathrm { j } } \neq 0\)
• E) None of the above answers are correct.

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Definitions:

State-dependent Memory

The phenomenon where information learned in a particular state of mind (e.g., emotional or physiological state) is more easily recalled when in the same state.

Prefrontal Cortex

The part of the brain located at the front of the frontal lobes, involved in complex behaviors including planning, decision making, and moderating social behavior.

Temporal Lobe

A region of the brain responsible for processing auditory information and encoding memory.

Amygdala

A region of the brain involved in emotional processes, including fear and pleasure.