Question

1. Structural components of factorial design Aa Aa In the April 27, 2009, issue of The New Yorker magazine, Margaret Talbot described how a variety of people take drugs intended to treat disorders such as attention deficit hyperactivity disorder, narcolepsy, and epilepsy in an attempt to enhance brain function so that they may function at a higher level. Talbot explained that proponents of this cosmetic use of the drugs argue that the drugs allow people to reach their full potential, whereas critics warn that the drugs have not been tested for these off-label uses and some may be addictive or harmful. Consider the results of a study in which a researcher is concerned about the effect cosmetic drug use may have on incidence of impotence in poker players. The researcher collected data on how frequently the drugs are used (weekly, twice daily, or once daily) and the type of hypothetical drugs being used (Produce, Concentrate, Fokas, and Stimulate). The researcher defines the first factor as the Frequency of Use and the second factor as the Drug Type There are factors. Frequency of Use has design. levels, and Drug Type has levels. This is a twelve Identify any or all example(s) of a simple effect below: ProDuce has no effect at any of the frequencies, Concentrate is only effective when taken twice daily, and Fokas and Stimulate are only effective when taken once daily. Taking a drug twice daily is more effective than taking it weekly regardless of which drug is being taken. The effect of ProDuce is much stronger when taken twice daily compared to once daily, whereas the effect of Concentrate is much weaker when taken once daily compared to twice daily. The effect of ConcenTrate when taken twice daily is greater than when taken once daily or weekly Identify any or all example(s) of a main effect below: The effect of ProDuce is much stronger when taken twice daily compared to once daily, whereas the effect of Concentrate is much weaker when taken once daily compared to twice daily When taken once daily, the effect of ProDuce, ConcenTrate, and Fokas, is greater than that of Stimulate. Taking a drug twice daily is more effective than taking it weekly regardless of which drug is being taken ProDuce has no effect at any of the frequencies, Concentrate is only effective when taken twice daily, and Fokas and Stimulate are only effective when taken once daily.

Answer 1

There are two factors. Frequency of Use has three levels and Drug Type has four levels. This is a three by four design.

Explanation: The two factors are "Frequency of Use of Drugs" and "Type of hypothetical Drug". Independent variables are referred to as factors in the design of experiments. A factor is a variable that affects the response variable or otherwise known as dependent variable.

The values that a factor can take are referred to as the "levels" of that factor.

The three levels of the factor "Frequency of Use" are:

1) weekly

2) twice daily

3) once daily

The four levels of the factor "Drug type" are:

1) Fokas

2) ConcenTrate

3) StimuLate

4) ProDuce

Simple effect: is the effect of one independent (or first factor) variable within one level of a second independent (or second factor) variable.
Third Option is the only simple effect: The effect of Fokas when taken twice daily is greater than when taken once daily or weekly.

Main effect: is the effect of one independent (or factor) variable on the dependent (or response) variable—averaging across the levels of the other independent (or the other factor) variable.
Fourth Option is the only main effect: Taking a drug twice daily is more effective than taking it weekly regardless of which drug is being taken.

Interaction effect: is the effect when one independent (or factor) variable on the dependent (or response) variable depends on the level of the other independent (or the other factor) variable .
First Option is the only interaction effect: Fokas has no effect at any of the frequencies, ConcenTrate is only effective when taken twice daily, and StimuLate and ProDuce ar only effective when taken once daily.