Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
See similar textbooks
icon
Related questions
Question

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
Expert Solution
Step 1

Given that

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

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS