Are any of these results significant?

MATLAB: An Introduction with Applications
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Are any of these results significant?

### Analysis of Variance (ANOVA) - Intended Screen Time

This table presents an ANOVA summary for the analysis of intended screen time. The purpose of this analysis is to determine if there are statistically significant differences between groups based on the variables analyzed. Below is a detailed explanation of each component of the table:

| Source                  | Sum of Squares | df | Mean Square | F       | p     | η²   |
|-------------------------|----------------|----|-------------|---------|-------|------|
| **Reference Group**     | 0.0307         | 1  | 0.0307      | 0.0216  | 0.884 | 0.000 |
| **Norm**                | 3.4376         | 1  | 3.4376      | 2.4202  | 0.124 | 0.029 |
| **Reference Group ⨯ Norm** | 1.7006         | 1  | 1.7006      | 1.1973  | 0.277 | 0.014 |
| **Residuals**           | 112.2100       | 79 | 1.4204      |         |       |      |

#### Explanation of Terms:
- **Sum of Squares**: This represents the total variation attributed to each factor.
- **df (Degrees of Freedom)**: This indicates the number of values that are free to vary for each source of variation.
- **Mean Square**: Calculated as the sum of squares divided by the degrees of freedom, indicating the average variation.
- **F**: The F-statistic, which is used to assess whether there are any significant differences between the means of the groups.
- **p (p-value)**: This value indicates the probability of observing the data, assuming that the null hypothesis is true. A lower p-value (typically < 0.05) suggests significant differences.
- **η² (Eta Squared)**: This is a measure of the effect size, indicating the proportion of the total variance that is attributed to an effect.

#### Interpretation:
- The **Reference Group** factor contributes minimally to the variation in intended screen time as indicated by the very low F-value and non-significant p-value (0.884).
- The **Norm** factor shows a larger contribution to variance, but it is not statistically significant with a p-value of 0
Transcribed Image Text:### Analysis of Variance (ANOVA) - Intended Screen Time This table presents an ANOVA summary for the analysis of intended screen time. The purpose of this analysis is to determine if there are statistically significant differences between groups based on the variables analyzed. Below is a detailed explanation of each component of the table: | Source | Sum of Squares | df | Mean Square | F | p | η² | |-------------------------|----------------|----|-------------|---------|-------|------| | **Reference Group** | 0.0307 | 1 | 0.0307 | 0.0216 | 0.884 | 0.000 | | **Norm** | 3.4376 | 1 | 3.4376 | 2.4202 | 0.124 | 0.029 | | **Reference Group ⨯ Norm** | 1.7006 | 1 | 1.7006 | 1.1973 | 0.277 | 0.014 | | **Residuals** | 112.2100 | 79 | 1.4204 | | | | #### Explanation of Terms: - **Sum of Squares**: This represents the total variation attributed to each factor. - **df (Degrees of Freedom)**: This indicates the number of values that are free to vary for each source of variation. - **Mean Square**: Calculated as the sum of squares divided by the degrees of freedom, indicating the average variation. - **F**: The F-statistic, which is used to assess whether there are any significant differences between the means of the groups. - **p (p-value)**: This value indicates the probability of observing the data, assuming that the null hypothesis is true. A lower p-value (typically < 0.05) suggests significant differences. - **η² (Eta Squared)**: This is a measure of the effect size, indicating the proportion of the total variance that is attributed to an effect. #### Interpretation: - The **Reference Group** factor contributes minimally to the variation in intended screen time as indicated by the very low F-value and non-significant p-value (0.884). - The **Norm** factor shows a larger contribution to variance, but it is not statistically significant with a p-value of 0
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