The image presents a statistical table often used in the analysis of variance (ANOVA). Here is a detailed transcription of the content and explanation: | Source | SS | df | MS | F | η² | |----------|--------|----|------|------|-----| | Between | 48.56 | 2 | 24.28| 5.43 | 0.42| | Within | 67.06 | 15 | 4.47 | | | | Total | 115.62 | 17 | | | | ### Explanation: - **Source**: Indicates the source of variation in the data. "Between" refers to the variation between different groups, while "Within" refers to the variation within a single group. - **SS (Sum of Squares)**: Represents the total variation for each source. - **Between**: 48.56 - **Within**: 67.06 - **Total**: 115.62 - **df (Degrees of Freedom)**: Reflects the number of values that are free to vary. - **Between**: 2 - **Within**: 15 - **Total**: 17 - **MS (Mean Square)**: The average variation, calculated as SS divided by the corresponding df. - **Between**: 24.28 - **Within**: 4.47 - **F (F-ratio)**: The ratio of the variance between the groups to the variance within the groups. - **Between**: 5.43 - **η² (Eta squared)**: A measure of effect size, indicating the proportion of the total variance that is attributable to the factor. - **Between**: 0.42 This table provides a concise summary of the results from an ANOVA test, helping to determine whether there are statistically significant differences between group means.
The image presents a statistical table often used in the analysis of variance (ANOVA). Here is a detailed transcription of the content and explanation: | Source | SS | df | MS | F | η² | |----------|--------|----|------|------|-----| | Between | 48.56 | 2 | 24.28| 5.43 | 0.42| | Within | 67.06 | 15 | 4.47 | | | | Total | 115.62 | 17 | | | | ### Explanation: - **Source**: Indicates the source of variation in the data. "Between" refers to the variation between different groups, while "Within" refers to the variation within a single group. - **SS (Sum of Squares)**: Represents the total variation for each source. - **Between**: 48.56 - **Within**: 67.06 - **Total**: 115.62 - **df (Degrees of Freedom)**: Reflects the number of values that are free to vary. - **Between**: 2 - **Within**: 15 - **Total**: 17 - **MS (Mean Square)**: The average variation, calculated as SS divided by the corresponding df. - **Between**: 24.28 - **Within**: 4.47 - **F (F-ratio)**: The ratio of the variance between the groups to the variance within the groups. - **Between**: 5.43 - **η² (Eta squared)**: A measure of effect size, indicating the proportion of the total variance that is attributable to the factor. - **Between**: 0.42 This table provides a concise summary of the results from an ANOVA test, helping to determine whether there are statistically significant differences between group means.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
Related questions
Question
Based on the summary table would you preform a Tukey test if so use the following means to explain the group difference using CD= 4.07 [Group A= 82, group B=76, Group c=72
Transcribed Image Text:The image presents a statistical table often used in the analysis of variance (ANOVA). Here is a detailed transcription of the content and explanation:
| Source | SS | df | MS | F | η² |
|----------|--------|----|------|------|-----|
| Between | 48.56 | 2 | 24.28| 5.43 | 0.42|
| Within | 67.06 | 15 | 4.47 | | |
| Total | 115.62 | 17 | | | |
### Explanation:
- **Source**: Indicates the source of variation in the data. "Between" refers to the variation between different groups, while "Within" refers to the variation within a single group.
- **SS (Sum of Squares)**: Represents the total variation for each source.
- **Between**: 48.56
- **Within**: 67.06
- **Total**: 115.62
- **df (Degrees of Freedom)**: Reflects the number of values that are free to vary.
- **Between**: 2
- **Within**: 15
- **Total**: 17
- **MS (Mean Square)**: The average variation, calculated as SS divided by the corresponding df.
- **Between**: 24.28
- **Within**: 4.47
- **F (F-ratio)**: The ratio of the variance between the groups to the variance within the groups.
- **Between**: 5.43
- **η² (Eta squared)**: A measure of effect size, indicating the proportion of the total variance that is attributable to the factor.
- **Between**: 0.42
This table provides a concise summary of the results from an ANOVA test, helping to determine whether there are statistically significant differences between group means.
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