ANOVA

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Questions and Answers

What is the primary approach for including multiple independent variables in an experiment?

  • Quasi-experimental design
  • Factorial design (correct)
  • Causal-comparative design
  • Single-factor design

In a 2 × 2 factorial design, what does each number represent?

  • The number of variables with levels
  • The number of participants in each condition
  • The total number of conditions in the experiment
  • The number of levels for each independent variable (correct)

How many conditions are there in a 3 × 2 factorial design?

  • 9
  • 8
  • 6 (correct)
  • 5

Which of the following factorial designs has three independent variables?

<p>2 × 3 × 2 (C)</p> Signup and view all the answers

What is the total number of conditions in a 4 × 5 factorial design?

<p>20 (D)</p> Signup and view all the answers

How many levels does the independent variable in a 3 × 3 factorial design have?

<p>Three levels for each variable (D)</p> Signup and view all the answers

In a simple between-subjects design, how are participants tested?

<p>In only one condition (C)</p> Signup and view all the answers

What can be inferred from the notation 2 × 3 × 2 in a factorial design?

<p>It has three independent variables with varying levels. (A)</p> Signup and view all the answers

What is the correct interpretation of a factorial design table?

<p>It summarizes possible combinations of conditions. (C)</p> Signup and view all the answers

If an independent variable has three levels and another has two levels, which design notation represents this?

<p>3 × 2 (D)</p> Signup and view all the answers

What is a primary characteristic of a between-subjects factorial design?

<p>Each participant is tested in only one condition. (D)</p> Signup and view all the answers

Which of the following is a key advantage of using a within-subjects design?

<p>It controls for extraneous participant variables. (A)</p> Signup and view all the answers

In a mixed factorial design, how are the independent variables manipulated?

<p>Some variables are manipulated within subjects and others between subjects. (B)</p> Signup and view all the answers

What is a potential downside of the between-subjects design?

<p>It requires more participants for statistical power. (B)</p> Signup and view all the answers

Which situation exemplifies a within-subjects design?

<p>Each participant experiences all conditions at different times. (A)</p> Signup and view all the answers

What method is typically used for assigning participants in factorial designs?

<p>Random assignment to conditions. (B)</p> Signup and view all the answers

Which of the following describes an example of a between-subjects factor?

<p>Participants tested only during the day or the night. (C)</p> Signup and view all the answers

What is one major advantage of the between-subjects factorial design?

<p>It avoids carryover effects. (C)</p> Signup and view all the answers

Which of the following is a typical requirement for within-subjects designs?

<p>Participants must undergo all conditions multiple times. (D)</p> Signup and view all the answers

What is a common advantage of using factorial designs in research?

<p>They allow for more than one independent variable to be tested. (B)</p> Signup and view all the answers

Flashcards

Factorial Design

An experimental design where multiple independent variables (factors) combine to create all possible combinations as experiment conditions.

2 x 2 Factorial Design

An experiment that tests two independent variables each with two levels.

3 x 2 Factorial Design

Combines one independent variable with 3 levels, and another independent variable with 2 levels, creating 6 conditions.

Number of Independent Variables

Determined by the number of numbers in the factorial notation.

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Number of Levels

Each number in the factorial notation represents the number of levels of its corresponding independent variable.

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Conditions in an experiment

Each possible combination of levels of independent variables in a factorial design.

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Between-Subjects Design

Each participant is tested in only one condition.

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Within-Subjects Design

Each participant is tested in all conditions.

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Independent Variable

The variable that is manipulated or changed in an experiment.

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Levels of an independent variable

The different values or settings for an independent variable in an experiment.

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Between-subjects factorial design

A factorial design where all independent variables are manipulated between participants. Each participant experiences only one condition.

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Within-subjects factorial design

A factorial design where all independent variables are manipulated within participants. Each participant experiences all conditions.

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Mixed factorial design

A factorial design where some variables are manipulated between participants and others within participants.

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Factorial experiment

An experiment with more than one independent variable.

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Order effects

Changes in performance due to the order in which the conditions were presented.

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Counterbalancing

A technique to control order effects by presenting the conditions in different orders to different participants.

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Study Notes

Factorial Designs

  • Factorial designs are the most common way to include multiple independent variables (factors) in experiments.
  • Each level of one independent variable is paired with every level of the other independent variables.
  • This creates all possible combinations, each becoming a unique experimental condition.

Example: 2 x 2 Factorial Design

  • Example: Investigating cell phone use (yes/no) and time of day (day/night) impact on driving.
  • This creates four conditions: using phone during day, not using phone during day, using phone at night, not using phone at night.

Notation and Conditions

  • Notation (e.g., 2 x 2, 3 x 2) shows the number of independent variables and their levels.
  • Each number corresponds to a factor (variable).
  • The value of each number indicates the number of levels for that factor.
  • Number of conditions = product of the numbers of levels.

Independent Variables and Levels

  • A 2 x 2 design has two independent variables, each with two levels.
  • A 3 x 3 design has two independent variables, each with three levels.
  • A 2 x 2 x 2 design has three independent variables, each with two levels.

Between-Subjects vs. Within-Subjects

  • Between-subjects: Each participant is tested in only one condition.
  • Within-subjects: Each participant is tested in all conditions.
  • Factorial experiments require a decision about each independent variable (between or within design).

Mixed Factorial Designs

  • In a mixed factorial design, some independent variables are manipulated between subjects, and others within subjects.
  • Example: cell phone use (within subjects) and time of day (between subjects).
  • Each participant is tested in a subset of conditions.

Random Assignment

  • Regardless of the design, participants are typically assigned to conditions or orders of conditions randomly.

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