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Questions and Answers
What is the primary purpose of conducting multiple comparisons tests in ANOVA?
Which of the following post-hoc range tests or pair-wise multiple comparisons is considered less conservative?
What is the purpose of post-hoc range tests or pair-wise multiple comparisons in ANOVA?
What does a p-value of less than α indicate in ANOVA?
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What does an interaction plot with parallel lines indicate?
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What type of ANOVA is used when the same individual has repeated measurements at different time points or conditions?
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What does Repeated Measures ANOVA compare?
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What is the extension of in Repeated Measures ANOVA?
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What is the F-ratio used for in ANOVA?
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What does a p-value of less than α indicate for the interaction?
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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
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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.
