2024-04-16T14:26:48Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00016575
2023-01-18T02:48:56Z
1628:1629:1633
斜面方位を説明変数とする回帰モデルについて
Recommended Regression Models Using Slope Direction as a Continuous Explanatory Variable
荒瀬, 輝夫
岡野, 哲郎
熊谷, 真由子
内田, 泰三
斜面方位
Slope direction
三角関数
Trigonometric function
3次曲線
Cubic curve
極値
Extremal value
精度
Precision
Slope direction is an important environmental factor in various field studies, but it is difficult to employ as an explanatory variable in regression analysis because of its periodicity. In the present study, actual data was used to assess the goodness of fit of three different regression models using slope direction as an explanatory variable. Results show that a non-linear regression of y = a sin(θ + b) can be transformed into a linear multiple regression with sin θ and cos θ. A multiple regression, with sin θ and cos θ, should be applied when the two slope directions bearing a maximum or minimum are assumed to be exactly opposite to each other. Conversely, a cubic-curve regression should be applied when the two slope directions are not assumed to be opposite. Presumed errors of estimation were almost equal in the multiple and cubic-curve regressions. Furthermore, p-values were almost equal for both the multiple and cubic-curve regressions when there was little variation in the data, but the p-value for the cubic-curve regression dramatically increased as the variation in the data increased.
Article
環境科学年報34:6-9(2012)
research report
信州大学環境科学研究会
2012-03-31
application/pdf
環境科学年報
34
6
9
0915-7492
AN1054947X
https://soar-ir.repo.nii.ac.jp/record/16575/files/34-02_Arase.pdf
jpn