ANOVA Step 2: Multiple Comparisons Tests
10 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the primary purpose of conducting multiple comparisons tests in ANOVA?

  • To identify the main effect of the treatment
  • To conduct post-hoc range tests or pair-wise multiple comparisons
  • To determine where the significant differences between the means are (correct)
  • To calculate the F-ratio for the interaction
  • Which of the following post-hoc range tests or pair-wise multiple comparisons is considered less conservative?

  • Student Newman-Keuls (SNK) Test
  • Tukey
  • Bonferroni (correct)
  • Sidak
  • What is the purpose of post-hoc range tests or pair-wise multiple comparisons in ANOVA?

  • To determine the F-ratio for the interaction
  • To correct for type I errors when doing multiple t-tests (correct)
  • To calculate the p-value for the groups
  • To identify the main effect of the treatment
  • What does a p-value of less than α indicate in ANOVA?

    <p>There is a significant difference between the means</p> Signup and view all the answers

    What does an interaction plot with parallel lines indicate?

    <p>There is no interaction between the group and treatment</p> Signup and view all the answers

    What type of ANOVA is used when the same individual has repeated measurements at different time points or conditions?

    <p>Repeated Measures ANOVA</p> Signup and view all the answers

    What does Repeated Measures ANOVA compare?

    <p>Three things at the same time: the slope of each subject line, the main effect of the groups, and the main effect of the treatment</p> Signup and view all the answers

    What is the extension of in Repeated Measures ANOVA?

    <p>Paired data experiment of 2+ measurements</p> Signup and view all the answers

    What is the F-ratio used for in ANOVA?

    <p>To test the significance of the interaction</p> Signup and view all the answers

    What does a p-value of less than α indicate for the interaction?

    <p>There is a significant interaction between the group and treatment</p> Signup and view all the answers

    Study Notes

    ANOVA Step 2: Multiple Comparisons Tests

    • Performed after confirming significant differences between means to identify where the differences are
    • Post-hoc range tests or pair-wise multiple comparisons are used to correct for type I errors
    • Tests include Bonferroni/Sidak, Tukey, and Student Newman-Keuls (SNK) Test, with different conservative levels

    Post-hoc Tests

    • Bonferroni is less conservative than Tukey (less reliable)
    • Post-hoc range tests or pair-wise multiple comparisons correct for type I errors by changing the significance levels of each test between samples

    Reading ANOVA Results

    • Value between group 1 and 2 = 0.012 (p < α): fail to reject H0 of no interaction between group and treatment
    • Interaction plots show parallel lines that don't merge, indicating no interaction
    • P-value for groups is < α: reject H0, indicating significant difference between means of group A and group B
    • P-value for treatment is < α: reject H0, indicating significant difference between means of treatment 1, 2, and 3

    Interaction

    • Interaction plots show merging lines, indicating interaction between group and treatment
    • F-ratio for interaction is 6.95, p < α: reject H0, indicating significant interaction between group and treatment

    Repeated Measures ANOVA

    • Used for repeated measurements of the same individual at different time points or conditions
    • Analysis considers correlated measurements on the same subject
    • Extension of the paired data experiment of 2+ measurements
    • Compares 3 things: slope of each subject line, difference between subjects at each time point, and parallelism between subjects

    Repeated Measures ANOVA Results

    • F-ratio far away from 1 and p < α: indicates significant difference between each treatment (baseline, 1, 2) within subjects

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    This quiz covers the second step in ANOVA, which involves identifying the differences between means using post-hoc range tests or pair-wise multiple comparisons. Tests include Bonferroni, Tukey, and Student Newman-Keuls.

    More Like This

    Use Quizgecko on...
    Browser
    Browser