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This dataset includes measurements of soil temperature and soil respiration at three places along the riverbank (upper, mid, and lower; the upper site is far away from water and the lower site is close to water). Please help describe and interpret the results below:

This dataset includes measurements of soil temperature and soil respiration at three places along the riverbank (upper, mid, and lower; the upper site is far away from water and the lower site is close to water). Please help describe and interpret the results below:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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This dataset includes measurements of soil temperature and soil respiration at three places along the riverbank (upper, mid, and lower; the upper site is far away from water and the lower site is close to water).

Please help describe and interpret the results below:

 

**ANOVA: Single Factor Analysis** **SUMMARY** | Groups | Count | Sum | Average | Variance | |--------|-------|-----------|---------|-----------| | Mid | 9 | 37.39163235 | 4.154626 | 0.909243 | | Lower | 9 | 27.22915737 | 3.025462 | 0.126555 | | Upper | 12 | 37.90632279 | 3.15886 | 0.136243 | **ANOVA TABLE** | Source of Variation | SS | df | MS | F | P-value | F crit | |---------------------|-------------|----|----------|----------|----------|----------| | Between Groups | 7.076169074 | 2 | 3.538085 | 9.762667 | 0.000645 | 3.354131 | | Within Groups | 9.78505968 | 27 | 0.36241 | | | | | Total | 16.86122875 | 29 | | | | | **Explanation:** - **Count**: The number of observations in each group. - **Sum**: The total sum of observations in each group. - **Average**: The mean value of each group. - **Variance**: The measure of variability within each group. **ANOVA Table:** - **Source of Variation**: - *Between Groups*: Measures the variability between the different groups. - *Within Groups*: Measures the variability within each group. - **SS (Sum of Squares)**: Represents the total variability for between and within groups. - **df (Degrees of Freedom)**: The number of independent values that can vary for each source of variation. - **MS (Mean Square)**: The mean of the squares (SS divided by df). - **F**: The F-statistic used to determine if the variances between the means of the groups are significantly different. - **P-value**: The probability that the observed F-statistic value would occur if the null hypothesis were true. A small P-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis. - **F crit**: The critical value of F at a given significance
Transcribed Image Text:**ANOVA: Single Factor Analysis** **SUMMARY** | Groups | Count | Sum | Average | Variance | |--------|-------|-----------|---------|-----------| | Mid | 9 | 37.39163235 | 4.154626 | 0.909243 | | Lower | 9 | 27.22915737 | 3.025462 | 0.126555 | | Upper | 12 | 37.90632279 | 3.15886 | 0.136243 | **ANOVA TABLE** | Source of Variation | SS | df | MS | F | P-value | F crit | |---------------------|-------------|----|----------|----------|----------|----------| | Between Groups | 7.076169074 | 2 | 3.538085 | 9.762667 | 0.000645 | 3.354131 | | Within Groups | 9.78505968 | 27 | 0.36241 | | | | | Total | 16.86122875 | 29 | | | | | **Explanation:** - **Count**: The number of observations in each group. - **Sum**: The total sum of observations in each group. - **Average**: The mean value of each group. - **Variance**: The measure of variability within each group. **ANOVA Table:** - **Source of Variation**: - *Between Groups*: Measures the variability between the different groups. - *Within Groups*: Measures the variability within each group. - **SS (Sum of Squares)**: Represents the total variability for between and within groups. - **df (Degrees of Freedom)**: The number of independent values that can vary for each source of variation. - **MS (Mean Square)**: The mean of the squares (SS divided by df). - **F**: The F-statistic used to determine if the variances between the means of the groups are significantly different. - **P-value**: The probability that the observed F-statistic value would occur if the null hypothesis were true. A small P-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis. - **F crit**: The critical value of F at a given significance
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