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Look at the ANOVA table. These are the results of an experiment that was done to test whether C (soil carbon) would differ after various methods of site prepartation before tree seedlings were planted.  To measure carbon in the soil, the 0-5 cm and 6-10 cm topsoil depths were sampled and analyzed for C. Thus, there were 2 depths, 3 treatments sampled about 26 years after site prepartation occured.  a. Explain the degress of freedom listed in the ANOVA table.  b. There are three main sources of variation in an ANOVA. What are they (list and define them completely)?

Look at the ANOVA table. These are the results of an experiment that was done to test whether C (soil carbon) would differ after various methods of site prepartation before tree seedlings were planted.  To measure carbon in the soil, the 0-5 cm and 6-10 cm topsoil depths were sampled and analyzed for C. Thus, there were 2 depths, 3 treatments sampled about 26 years after site prepartation occured.  a. Explain the degress of freedom listed in the ANOVA table.  b. There are three main sources of variation in an ANOVA. What are they (list and define them completely)?

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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Look at the ANOVA table. These are the results of an experiment that was done to test whether C (soil carbon) would differ after various methods of site prepartation before tree seedlings were planted. 

To measure carbon in the soil, the 0-5 cm and 6-10 cm topsoil depths were sampled and analyzed for C. Thus, there were 2 depths, 3 treatments sampled about 26 years after site prepartation occured. 

a. Explain the degress of freedom listed in the ANOVA table. 

b. There are three main sources of variation in an ANOVA. What are they (list and define them completely)?

Dependent Variable: TotalC Treatment Depth burn 5.0 10.0 Total 5.0 10.0 Total 5.0 10.0 Total 5.0 10.0 Total control windrow Total Source Corrected Model Dependent Variable: TotalC Intercept. Treatment Descriptive Depth Treatment * Depth Error Total Corrected Total Mean 9.21012192 3.66725769 6.43868980 12.2680962 6.18697128 9.22753372 13.2567375 3.60698977 7.40472145 2.88405471 10.3307295 4.35797886 11.5783185 2.73839750 5.75298348 2.27040856 8.66565100 3.85808165 Type III Sum of Squares Std. Deviation 335.349ª 2252.805 80.476 254.509 :365 96.310 2684.464 431.659 .738604274 .598433790 2.98929566 1.25036523 .531228051 3.33054325 df 5 1 2 1 2 24 30 29 N Tests of Between-Subjects Effects 5 a. R Squared = .777 (Adjusted R Squared = .730) 5 10 55055 10 10 15 15 30 Mean Square 67.070 2252.805 40.238 254.509 .182 4.013 F 16.714 561.390 10.027 63.423 .045 Sig. .000 .000 .001 .000 .956 Partial Eta Squared .777 .959 .455 .725 .004
Transcribed Image Text:Dependent Variable: TotalC Treatment Depth burn 5.0 10.0 Total 5.0 10.0 Total 5.0 10.0 Total 5.0 10.0 Total control windrow Total Source Corrected Model Dependent Variable: TotalC Intercept. Treatment Descriptive Depth Treatment * Depth Error Total Corrected Total Mean 9.21012192 3.66725769 6.43868980 12.2680962 6.18697128 9.22753372 13.2567375 3.60698977 7.40472145 2.88405471 10.3307295 4.35797886 11.5783185 2.73839750 5.75298348 2.27040856 8.66565100 3.85808165 Type III Sum of Squares Std. Deviation 335.349ª 2252.805 80.476 254.509 :365 96.310 2684.464 431.659 .738604274 .598433790 2.98929566 1.25036523 .531228051 3.33054325 df 5 1 2 1 2 24 30 29 N Tests of Between-Subjects Effects 5 a. R Squared = .777 (Adjusted R Squared = .730) 5 10 55055 10 10 15 15 30 Mean Square 67.070 2252.805 40.238 254.509 .182 4.013 F 16.714 561.390 10.027 63.423 .045 Sig. .000 .000 .001 .000 .956 Partial Eta Squared .777 .959 .455 .725 .004
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