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. How do we test the significance of ANOVA? b. One of the assumptions of ANOVA is that the variance of Y is the same for all x values (Xi). What is meant by that statement?
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. How do we test the significance of ANOVA? b. One of the assumptions of ANOVA is that the variance of Y is the same for all x values (Xi). What is meant by that statement?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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. How do we test the significance of ANOVA?
b. One of the assumptions of ANOVA is that the variance of Y is the same for all x values (Xi). What is meant by that statement?
Transcribed Image Text:Dependent Variable: TotalC
Treatment
burn
control
windrow
Total
Depth
5.0
10.0
Total
5.0
10.0
Total
5.0
10.0
Total
Intercept.
Treatment
5.0
10.0
Total
Source
Corrected Model
Dependent Variable: TotalC
Descriptive
Depth
Treatment * Depth
Error
Total
Corrected Total
Mean
9.21012192
.738604274
3.66725769
.598433790
6.43868980
2.98929566
12.2680962 1.25036523
6.18697128
.531228051
9.22753372
3.33054325
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
df
5
1
2
1
2
24
30
29
N
556
a. R Squared = .777 (Adjusted R Squared = .730)
10
Tests of Between-Subjects Effects
5555
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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