#1
In a 2x2 factorial design, how many independent variables are there?
2
ExplanationA 2x2 factorial design has 2 independent variables.
#2
What is the total number of treatment conditions in a 2x3 factorial design?
9
ExplanationA 2x3 factorial design has a total of 9 treatment conditions.
#3
What is the factorial notation for representing the number of ways to arrange n distinct objects?
n!
Explanationn! represents the factorial notation for arranging n distinct objects.
#4
In factorial design, what is the term used to describe the different levels of an independent variable?
Conditions
ExplanationConditions describe the different levels of an independent variable in factorial design.
#5
In a 2x2x2 factorial design, how many total treatment conditions are there?
16
ExplanationA 2x2x2 factorial design has a total of 16 treatment conditions.
#6
What is factorial design primarily used for in experimental research?
To investigate the effects of multiple independent variables and their interactions on a dependent variable
ExplanationFactorial design explores effects of multiple variables and interactions on a dependent variable.
#7
What does a 2x2x2 factorial design indicate?
Three independent variables with two levels each
ExplanationA 2x2x2 factorial design involves three independent variables, each with two levels.
#8
In a 2x2 factorial design, how many treatment combinations are there?
4
ExplanationA 2x2 factorial design has 4 treatment combinations.
#9
What is a main effect in factorial design?
The impact of one independent variable on the dependent variable
ExplanationMain effect refers to the impact of an independent variable on the dependent variable.
#10
Which statistical test is commonly used to analyze data from factorial designs?
ANOVA (Analysis of Variance)
ExplanationANOVA is commonly used to analyze data from factorial designs.
#11
What does the term 'full factorial design' refer to?
A design that includes all possible combinations of levels for each independent variable
ExplanationFull factorial design includes all possible combinations of levels for each variable.
#12
What is the advantage of factorial design over one-factor-at-a-time design?
Factorial design is more efficient in terms of time and resources
ExplanationFactorial design is more efficient than one-factor-at-a-time, saving time and resources.
#13
What is the term used to describe the phenomenon where the effect of one independent variable depends on the level of another independent variable?
Interaction effect
ExplanationInteraction effect occurs when one independent variable's effect depends on another.
#14
What is the purpose of conducting post-hoc tests in factorial ANOVA?
To explore differences between specific treatment conditions after finding a significant interaction
ExplanationPost-hoc tests in factorial ANOVA explore differences between specific treatment conditions post interaction.
#15
What is the factorial effect size?
A measure of how much variance in the dependent variable is accounted for by the independent variables
ExplanationFactorial effect size measures how much variance in the dependent variable is due to independent variables.
#16
When is a factorial design considered 'balanced'?
When all combinations of levels for each independent variable are equally represented
ExplanationA factorial design is balanced when all combinations of levels for each variable are equally represented.
#17
What is the goal of blocking in factorial design?
To reduce the impact of extraneous variables
ExplanationBlocking in factorial design aims to minimize the influence of extraneous variables.