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