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Fill out the ANOVA table below: Factor Stream Order Sum Sq 0.09 Error 0.19 Total 0.28 df Mean Sq F Ratio I p-value

Fill out the ANOVA table below: Factor Stream Order Sum Sq 0.09 Error 0.19 Total 0.28 df Mean Sq F Ratio I p-value

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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**Research Context and ANOVA Analysis** **Research Overview:** After a drought, a researcher noticed bright orange deposits around various creeks. These orange deposits were identified as iron-oxidizing bacteria, which is a harmless and natural process. It appeared that the abundance of iron-oxidizing bacteria varied by stream order (first, second, or third order). The researcher measured and compared the area of iron-oxidizing across locations within the three orders (n=25). **ANOVA Table:** This table is used to analyze the variance between the different stream orders and to determine if there are any statistically significant differences in the iron-oxidizing bacteria deposits. | Factor | Sum Sq | df | Mean Sq | F Ratio | p-value | |---------------|--------|----|---------|---------|---------| | Stream Order | 0.09 | | | | | | Error | 0.19 | | | | | | Total | 0.28 | | | | | - **Sum Sq (Sum of Squares):** Represents the total variation, divided by source (Stream Order and Error). - **df (Degrees of Freedom):** Number of independent values or quantities. - **Mean Sq (Mean Square):** Average of the squares; calculated as Sum Sq divided by df. - **F Ratio:** Used to determine if the variances between the means are significant. - **p-value:** Probability of observing the results given that the null hypothesis is true. A lower value typically indicates significant differences between groups. This analysis helps understand if the variation in iron-oxidizing bacteria is significantly related to the stream order.
Transcribed Image Text:**Research Context and ANOVA Analysis** **Research Overview:** After a drought, a researcher noticed bright orange deposits around various creeks. These orange deposits were identified as iron-oxidizing bacteria, which is a harmless and natural process. It appeared that the abundance of iron-oxidizing bacteria varied by stream order (first, second, or third order). The researcher measured and compared the area of iron-oxidizing across locations within the three orders (n=25). **ANOVA Table:** This table is used to analyze the variance between the different stream orders and to determine if there are any statistically significant differences in the iron-oxidizing bacteria deposits. | Factor | Sum Sq | df | Mean Sq | F Ratio | p-value | |---------------|--------|----|---------|---------|---------| | Stream Order | 0.09 | | | | | | Error | 0.19 | | | | | | Total | 0.28 | | | | | - **Sum Sq (Sum of Squares):** Represents the total variation, divided by source (Stream Order and Error). - **df (Degrees of Freedom):** Number of independent values or quantities. - **Mean Sq (Mean Square):** Average of the squares; calculated as Sum Sq divided by df. - **F Ratio:** Used to determine if the variances between the means are significant. - **p-value:** Probability of observing the results given that the null hypothesis is true. A lower value typically indicates significant differences between groups. This analysis helps understand if the variation in iron-oxidizing bacteria is significantly related to the stream order.
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