Statistics Final Exam Review
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Questions and Answers

What percentage of the final exam is derived from material covered after the midterm?

  • 60% (correct)
  • 70%
  • 40%
  • 50%
  • How many multiple choice questions are included in the final exam?

  • 80 (correct)
  • 70
  • 90
  • 100
  • Which of the following types of material is tested the least on the final exam?

  • Lab only material (correct)
  • Shared lecture and text material
  • Lecture only material
  • Textbook only material
  • Which of the following is NOT considered a type of hypothesis or design covered in the course?

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

    Which statistical test is used to analyze factorial designs?

    <p>Analysis of Variance (ANOVA) (A)</p> Signup and view all the answers

    What does the F-value represent in the context of ANOVA?

    <p>The amount of systematic variance relative to unsystematic variance (A)</p> Signup and view all the answers

    What is indicated if a difference between means is treated as significant?

    <p>The p-value is less than 0.05 (D)</p> Signup and view all the answers

    Which of the following patterns indicates a main effect of factor A but no main effect of factor B?

    <p>Main effect of A; no main effect B (D)</p> Signup and view all the answers

    When interpreting factorial designs, which means are compared to assess success and failure?

    <p>Means of Important and Unimportant under Success (B)</p> Signup and view all the answers

    What is a primary use of combining true independent variables (IVs) and participant variables (PVs)?

    <p>To test the generality of an IV’s effect on the DV for different populations. (B)</p> Signup and view all the answers

    What does it mean if the participant variable is described as a 'moderator' in the context of an interaction?

    <p>It influences the strength or direction of the effect of the IV on the DV. (B)</p> Signup and view all the answers

    Which of the following statements is true regarding causal conclusions in studies involving participant variables?

    <p>Causal conclusions cannot be made for effects associated with participant variables. (C)</p> Signup and view all the answers

    What is the primary role of a moderator in an experimental context?

    <p>To change the strength of association between two other variables (D)</p> Signup and view all the answers

    In the factorial design context, which method involves measuring the same participants across different conditions?

    <p>Within-groups design (C)</p> Signup and view all the answers

    In a 2 x 2 factorial design, how many distinct combinations of the independent variables (IVs) are tested?

    <p>4 combinations (B)</p> Signup and view all the answers

    Which is a caution to consider when interpreting results that involve participant variables?

    <p>Results involving participant variables can lead to misleading causal interpretations. (D)</p> Signup and view all the answers

    How many conditions are present in a 2 x 3 factorial design?

    <p>6 conditions (A)</p> Signup and view all the answers

    What factorial notation corresponds to a design with 2 independent variables, both having 3 levels?

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

    What is the total number of cells in a 2 x 2 x 2 factorial design?

    <p>8 cells (C)</p> Signup and view all the answers

    Which of the following describes how to represent the lowest number of conditions possible in factorial notation?

    <p>1 x 1 (A)</p> Signup and view all the answers

    In a 3 x 4 factorial design, how many levels does each independent variable have?

    <p>3 levels for the first IV and 4 for the second (B)</p> Signup and view all the answers

    In a factorial design with three factors that each have two levels, what would be its notation?

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

    What does an interaction effect indicate in the context of Factor A and Factor B?

    <p>The effect of Factor A on DV changes depending on the level of Factor B. (D)</p> Signup and view all the answers

    In the interaction hypothesis example involving anxiety and performance, how does task difficulty influence anxiety levels?

    <p>Increased anxiety improves performance on easy tasks but decreases performance on difficult tasks. (A)</p> Signup and view all the answers

    What is one key characteristic of a main effect in an interaction analysis?

    <p>It shows the average effect of one factor, ignoring other factors. (B)</p> Signup and view all the answers

    Based on the provided data example, what can be concluded about the effect of task importance on performance levels?

    <p>The data indicates no main effect of task importance on performance. (D)</p> Signup and view all the answers

    How do parents' reactions influence the relationship between violent media and children's aggression?

    <p>Favorable parental reactions amplify the aggression associated with violent media exposure. (B)</p> Signup and view all the answers

    What was indicated by the significant main effect of performance level?

    <p>Participants reported higher self-esteem when they succeeded compared to when they failed. (C)</p> Signup and view all the answers

    What conclusion can be drawn regarding task importance based on the main effect analysis?

    <p>Task importance has no significant effect on self-esteem levels. (B)</p> Signup and view all the answers

    How did the interaction between performance level and task importance manifest for important tasks?

    <p>Higher self-esteem was reported when participants succeeded on important tasks. (B)</p> Signup and view all the answers

    Which statement accurately describes the overall interaction effect between performance level and task importance?

    <p>The interaction indicated that success had a varying impact on self-esteem based on task type. (C)</p> Signup and view all the answers

    What does a significant interaction effect imply in the context of the study?

    <p>One variable's effect depends on the level of another variable. (C)</p> Signup and view all the answers

    According to the findings, what was the result for self-esteem levels on unimportant tasks?

    <p>Self-esteem levels showed no difference between success and failure. (B)</p> Signup and view all the answers

    Which of the following statements about the significance of interactions in this study is true?

    <p>Interactions are crucial as they reveal differences in marginal means. (A)</p> Signup and view all the answers

    What statistical result indicates a significant main effect of performance level?

    <p>F (1, 37) = 4.23, p &lt; .05 (B)</p> Signup and view all the answers

    Flashcards

    Final Exam Date

    Saturday, December 7, 8:30-10:30 AM

    Exam Duration

    2 hours

    Exam Content Emphasis

    Lectures weeks 9-14 (60%) and material covered heavily in class (80%).

    Exam Question Types

    Multiple choice (80%), short answer (20).

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    Exam Material

    Lectures (1-14), Text chapters 1-14 (some specifics noted), Price text Ch 3.

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    Factorial Designs

    Experiments with multiple independent variables (factors).

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    Main Effect

    The effect of one independent variable on the dependent variable, ignoring the other variables.

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    Interaction Effect

    The combined effect of two or more independent variables, beyond the main effects.

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    Analysis of Variance (ANOVA)

    Statistical test used for factorial designs to identify significant differences between means.

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    Significance Level

    Threshold for determining if a result (e.g., difference between means) is statistically significant (usually p<.05).

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    Moderator Variable

    A variable that changes the strength of the relationship between two other variables.

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    2 x 2 Factorial Design

    A factorial design with two independent variables, each having two levels.

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    Levels of a Factor

    The different values or categories of an independent variable in a factorial design.

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    Conditions in a Factorial Design

    The specific combination of levels across all independent variables.

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    2 x 3 Factorial

    A design with two factors, one with 2 levels and the other with 3 levels.

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    Factorial Notation

    A way to express the number of factors and levels in a design (e.g., 2 x 3 x 2).

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    Cells in a Factorial Design

    The combinations of different levels of the factors (independent variables) within the design; this represents all the conditions of the experiment.

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    How can you tell if there's an interaction effect?

    If the effect of one factor on the dependent variable (DV) differs based on the level of another factor, then there might be an interaction effect.

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    Example: Task Difficulty and Anxiety

    The effect of anxiety on performance depends on task difficulty. High anxiety leads to better performance on easy tasks, but hinders performance on difficult tasks.

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    Example: Violent Media and Aggression

    The effect of violent media exposure on aggression in children depends on their parents' reactions. Positive reactions increase aggression, while negative reactions decrease it.

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    Significant Interaction

    When the interaction effect is statistically significant, meaning it's unlikely to have occurred by chance.

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    Qualify the Main Effect

    The interaction effect explains how the main effect is different across different levels of the other IV.

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    Importance of Interaction

    Interactions are often more important than main effects because they reveal complex relationships between variables.

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    Describe an Interaction

    Explain the interaction by describing how the effect of one IV changes across levels of the other IV.

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    Generic Interaction Template

    A general framework for explaining an interaction, including the IVs, DV, and how the effect changes.

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    Interaction Example

    Demonstrate an interaction with a specific example, showing how IVs affect the DV in different ways.

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    IV x PV design

    An experimental design that combines a true independent variable (IV) with a participant variable (PV) to test the generality of the IV's effect and the association between the PV and the dependent variable.

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    Moderator

    A participant variable that influences the relationship between an independent variable and a dependent variable.

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    Independent Groups Design

    A factorial design where participants are randomly assigned to different conditions (combinations of IV levels) and only experience one condition.

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    Within Groups Design

    A factorial design where all participants experience each condition (combination of IV levels).

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    Mixed Design

    A factorial design that uses a combination of Independent Groups and Within Groups designs, meaning some IVs are between-subjects and others are within-subjects.

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    Study Notes

    Final Exam Information

    • The final exam is on Saturday, December 7th, from 8:30 AM to 10:30 AM.
    • Multiple locations are available in BA. Refer to the Exam Information document for specific locations.
    • The exam is 2 hours long.
    • The exam is worth 100 points.
    • 80 points are multiple choice.
    • 20 points are short answer (10 questions, 2 points each).
    • The format of the short answer questions is similar to the midterm format.
    • No aids are permitted, including calculators.
    • Material covered includes lecture weeks 1–14, chapters 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13 (pages 401–418), chapter 14, and the statistics module (pages 467–479). Chapter 3 from the price text is also included (PDF version in the course information folder).
    • The exam emphasizes material covered after the midterm, which accounts for approximately 60% of the exam. This corresponds to lecture weeks 9-14 and text chapters 9-14.
    • Approximately 80% of the lecture and text shared material will be covered on the exam.
    • Approximately 10% of the lecture-only material will be tested.
    • Approximately 10% of the textbook-only material will be tested (by multiple-choice questions).
    • Approximately 2% of the lab-only material will be tested (by multiple-choice questions).

    Week 1 Outline

    • Simple vs. more complex hypotheses and designs
    • Testing interaction hypotheses
    • Factorial designs
    • Describing features of factorial designs (Terminology: variables, levels, conditions) Independent-groups, within-groups, mixed
    • Manipulated IVs vs. Participant Variables
    • Interpreting results of a 2 x 2 factorial design
    • Example experiment
    • Types of effects: main effects, interaction
    • A note on statistical significance
    • The possible patterns of results
    • Identifying effects in tables and graphs
    • Extensions and variations
    • Increasing the number of levels of an IV
    • Increasing the number of IVs

    Week 1 Outline (Continued)

    • More on interpreting main effects and interactions
    • Follow-up tests
    • Interaction effects are more important
    • Describing in words
    • Combining IVs and PVs
    • Uses of IV x PV designs
    • Cautions in interpreting results
    • Assignment to conditions in factorial design
    • Independent-groups designs (between)
    • Within-groups designs (within)
    • Mixed designs (between-within)
    • Advantages and uses of factorial designs
    • Advantages of factorial designs compared to one-way designs
    • Uses of factorial designs
    • Identifying factorial designs in your reading

    Simple Causal Hypotheses

    • State the effect that one IV will have on a dependent variable (DV).
    • Tested in "one-way" designs with one IV.
    • Conclusions are "general" or "unqualified."
    • Prompts research to specify conditions under which the effect disappears or grows stronger.
    • Boundary conditions

    More Complex Causal Hypotheses

    • State how two (or more) IVs affect a DV.
    • Called "interaction hypotheses" because they specify how independent variables "interact" to influence a dependent variable.
    • Can lead to more "qualified" conclusions about behavior

    Interaction Hypothesis: Example (Examples of different hypothesis tests)

    • The effect that X has on Y depends on Z.
    • The effect that anxiety has on performance depends on task difficulty.
    • When tasks are easy, increases in anxiety produce increases in performance.
    • When tasks are difficult, increases in anxiety produce decreases in performance.
    • The effect that violent media has on children's aggression depends on their parents' reactions.
    • When parents react favorably, more violence watched, the more aggressive the child will be.
    • When parents react unfavorably, more violence watched, the less aggressive the child will be.

    Interaction Hypotheses: Testing for Moderators

    • A moderator is a variable that changes the strength of association between two other variables.
    • In experiments, a moderator is an independent variable that changes the strength of the effect another IV has on the DV.
      • The effect that anxiety has on performance is moderated by task difficulty.
      • The effect that media violence has on aggression is moderated by the parents' reactions.

    Describing Factorial Designs

    • A research design that tests the effect of two or more factors (IVs) simultaneously.
    • Each factor is "crossed" with each other factor, creating all possible combination.
    • The number of conditions (or "cells") is the product of the number of levels of each factor.

    2 x 2 Factorial Design

    • See tables in document.

    2 x 4 Factorial Design

    • See table in document.

    2 x 3 Design, example #1 and #2

    • See tables in document.

    3 x 3 Design Example

    • See table in document.

    2 x 4 Design Example

    • See table in document.

    2 x 2 x 2 Design Example

    • See table in document.

    Interpreting Higher Order Factorial Designs

    • With three factors, there are three main effects (performance level, task importance, presence of others), three two-way interactions (performance level x task importance, performance level x presence of others, task importance x others), and one three-way interaction (performance level x task importance x others).

    Examining 2-way Interactions in a Higher Order Design

    • Examine each 2-way interaction by ignoring or "collapsing across" the remaining factors.

    Examining the 3-way Interaction in a 3-way Design

    • A 3-way design can provide information about the combined effects of all three factors.
    • There will be a 3-way interaction if a two-way interaction between two factors differs depending on the other remaining factor.
    • Ask: Does a two-way interaction differ across the levels of the remaining factor?
    • Examine the two-way interaction pattern at each level of the remaining factor.

    Follow-Up Tests

    • If the IV has only two levels, no further tests are needed.
    • If the IV has more than two levels, further tests are needed to interpret the findings.
      • Called "post hoc tests" or "multiple comparisons"
    • Want to determine precisely which of the marginal means differ significantly from each other

    Post Hoc Tests

    • See tables in document.

    Describing Main Effects and Interactions in Words

    • Main effects (without an interaction)
    • Main effects (with an interaction)
    • Interaction effects

    Example: One Main Effect without an Interaction

    • There was no significant main effect of task importance.
    • There was a significant main effect of performance level
    • The interaction between performance level and task importance was not significant.

    Example: One Main Effect with an Interaction

    • There was no significant main effect of task importance
    • There was a significant main effect of performance level
    • The effect of performance level was qualified by a significant interaction between performance level and task importance.

    Interactions are More Important than Main Effects

    • When a study shows both a main effect and an interaction, the interaction is almost always more important.
    • This interaction qualifies the main effect.
    • There may be real differences in marginal means, but the more interesting part is the interaction.

    Describing an Interaction: Generic Templates

    • The interaction between factor A and factor B indicates the effect of factor A differs depending on the levels of factor B.
    • For example, when first level B is present, increases in factor A result in higher scores in DV, and in the contrast, when second level B is present, increases in factor A result in lower scores in DV.

    Pattern #6b – Alternate Example

    • See table in document.

    Description of Interactions in Words: Textbook Examples

    • Describe the interactions.

    Recall: Interaction Hypothesis Example

    • The effect of X on Y depends on Z.
    • The effect of anxiety on performance depends on task difficulty.
    • When tasks are easy, increases in anxiety increase performance.
    • When tasks are difficult, increases in anxiety decrease performance.
    • The effect that violent media has on children's aggression depends on their parents' reactions.
    • When parents react favorably, more violence watched, the more aggressive the child will be.
    • When parents react unfavorably, more violence watched, the less aggressive the child will be.

    Combining IVs and PVs

    • Sometimes called IV x PV designs
    • Use to test the generality of an IV's effect on the DV for different kinds of people.
    • Use to test the association between a participant variable (PV) and the DV in different situations
    • Cautions in interpreting results: cannot draw causal conclusions for effects involving the participant variable; Participant variable might moderate the effect of the IV; participant variable can be called a moderator if there is an interaction. Given examples with Depression diagnosis and Experience with Task (2 variables to the participant).

    Assignment to Conditions and Orders

    • Independent Groups (Between-subjects)
    • Within-Groups (Repeated Measures)
    • Mixed-factorial design

    Independent-Groups Design

    • Random assignment of participants to conditions. For example, 2 x 3 design will have 6 different conditions.

    Within-Groups Design

    • Each participant is in each factorial condition. For example, conditions were arranged as a sequence or order, that is measured or assessed across time.

    Mixed-Factorial Designs (Between-Within)

    • A study with at least one independent-groups and one within-groups factor.

    Tests of Simple Effects

    • Simple effects of A at B1
    • Simple effects of A at B2
    • Simple effect of B at A1
    • Simple effect of B at A2

    Identifying Factorial Designs in Your Readings

    • The method section will describe the design of the study (including factorial notation).
    • The results section will examine whether main effects and interactions were significant.
    • Look for “it depends” or “only when” to highlight an interaction.
    • Look for participant variables (age, gender, ethnicity).

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    Description

    Prepare for your Statistics final exam with this comprehensive quiz that covers key concepts from factorial designs to ANOVA. Test your knowledge on the material, multiple choice questions, and the significance of various hypothesis types. This quiz will help you assess your readiness for the exam and deepen your understanding of the course content.

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