APPENDICES
Appendix A: Sample Calculations
Data Collected:
Tree No. 100 |
|
|
dbh = 0.81m Total Ht. = 17 m Tim. Ht. 2.0m |
Mean Total Ht. for all Roadside Trees is 11.10m |
Calculations:
Tree B/A |
=
=
0.51m2 |
Timber Volume |
= B/A x Tim. Ht. = 0.52 m2 x 2.0m = 1.03m3 |
Total Volume |
= 0.59 (Mean Total Ht. x B/A) = 0.59 (11.10m x 0.52m2 = 3.41m |
Branchwood Vol. |
= Total Vol. - Timber Vol. = 3.41m3 - 1.03m3 = 2.38m3 |
% Branchwood Vol. |
= (2.38 / 3.41) x 100 = 70% |
(dbh)2 / 2Note: All calculations were carried out using a statistical package on a computer to a greater degree of accuracy than that implied in the above calculations. The final results shown are those obtained from the computer.
Appendix B: A.N.O.V.A. Tables
Analysis of Variance
The following tests were carried out to find if there were any differences in dbh, total height and total volume between the trees in transects 2 - 6.
Hypothesis: |
H0:
|
|
H1:
|
|
Critical Region: |
F > F F > 2.21 (For all 3 tests). Action reject H0 at the 5% level of significance |
Test (1): DBH |
F = 6.99 (Table 27) 6.99 > 2.21 Action reject H0 at the 5% level of significance |
Test (2): Total Height |
F = 15.06 (Table 28) 15.06 > 2.21 Action reject H0 at the 5% level of significance |
Test (3): Total Volume |
F = 18.22 (Table 29) 18.22 > 2.21 Action reject H0 at the 5% level of significance |
2 =
(5,509) at 5% level of significance.Conclusion for tests 1 - 3: There are significant differences in dbh, total height and total volume between the 5 transects. Scheff's test was carried out on the same data in order to identify where the differences lay (see Section 4.3)
Table 27: Analysis of Variance of Transect Sample Tree dbh
Due to |
DF |
SS |
MS=SS/SF |
F-Ratio |
Factor |
5 |
1.1540 |
0.2308 |
6.99 |
Error |
509 |
16.8072 |
0.0330 |
|
Total |
514 |
17.9613 |
||
Level |
N |
Mean |
St. Dev. |
|
1 |
141 |
0.564 |
0.190 |
|
2 |
23 |
0.547 |
0.149 |
|
3 |
78 |
0.594 |
0.211 |
|
4 |
107 |
0.692 |
0.191 |
|
5 |
112 |
0.628 |
0.146 |
|
6 |
54 |
0.614 |
0.175 |
|
Pooled Standard Deviation = 0.182 |
||||
Table 28: Analysis of Variance of Transect Sample Tree Total Height
Due to |
DF |
SS |
MS=SS/SF |
F-Ratio |
Factor |
5 |
800.5 |
160.1 |
15.06 |
Error |
509 |
5412.2 |
10.6 |
|
Total |
514 |
6212.6 |
||
Level |
N |
Mean |
St. Dev. |
|
1 |
141 |
11.09 |
3.58 |
|
2 |
23 |
10.43 |
2.02 |
|
3 |
78 |
13.31 |
4.13 |
|
4 |
107 |
14.24 |
3.27 |
|
5 |
112 |
11.94 |
2.47 |
|
6 |
54 |
11.74 |
2.75 |
|
Pooled Standard Deviation = 3.26 |
||||
Table 29: Analysis of Variance of Transect Sample Tree Total Volume
Due to |
DF |
SS |
MS=SS/SF |
F-Ratio |
Factor |
5 |
173.34 |
34.67 |
18.22 |
Error |
509 |
968.27 |
1.90 |
|
Total |
514 |
1141.61 |
||
Level |
N |
Mean |
St. Dev. |
|
1 |
141 |
1.82 |
1.14 |
|
2 |
23 |
1.55 |
0.81 |
|
3 |
78 |
2.44 |
1.61 |
|
4 |
107 |
3.39 |
1.85 |
|
5 |
112 |
2.31 |
1.06 |
|
6 |
54 |
2.19 |
1.27 |
|
Pooled Standard Deviation = 1.38 |
||||
© 1987 Robert I. Bradshaw
