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Official Journal of the Japan Wood Research Society

Table 8 Fitting results by various model

From: Research on design value of compressive strength for Chinese fir dimension lumber based on full-size testing

Grade

Model

Calculation formula

r 2

Std. error

SS

Cubic

\( y = 0.215x^{3} - 1.828x^{2} + 6.450x - 2.275 \)

0.999

0.150

Logarithm

\( y = 2.957 + 3.261\ln (x - 0.116) \)

1000

0.015

Allometric

\( y = 2.881x^{0.754} \)

0.981

0.101

No. 1

Cubic

\( y = 0.228x^{3} - 1.933x^{2} + 6.779x - 2.572 \)

0.999

0.163

Logarithm

\( y = 2.937 + 3.383\ln (x - 0.123) \)

1.000

0.021

Allometric

\( y = 2.848x^{0.781} \)

0.979

0.108

No. 2

Cubic

\( y = 0.216x^{3} - 1.837x^{2} + 6.479x - 2.301 \)

0.999

0.151

Logarithm

\( y = 2.955 + 3.271\ln (x - 0.117) \)

1.000

0.016

Allometric

\( y = 2.878x^{0.757} \)

0.981

0.101

  1. Std. error standard error