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逐步线性回归法实现天津厚蟹(Helice tientsinensis)表型性状与体重的通径分析
平洪领1, 李玉全2
1.青岛农业大学海洋科学与工程学院 , 浙江海洋学院海洋科学与技术学院;2.青岛农业大学海洋科学与工程学院
摘要:
选择莱州湾的天津厚蟹(Helice tientsinensis)140只, 测量甲长(X1)、大螯动指长(X2)、甲宽(X3)、眼间距(X4)、第Ⅰ侧齿间距(X5)、第Ⅱ侧齿间距(X6)、大螯不动指长(X7)、大螯不动指宽(X8)、大螯长节长(X9)、第Ⅰ步足长节长(X10)、体高(X11)、体重(Y)共12个指标, 采用相关分析和通径分析方法, 计算了以形态性状为自变量, 体重作依变量的通径系数、相关系数和决定系数。结果表明, 所测形态性状与体重的相关系数均达到极显著水平(P<0.01); 采用逐步线性回归的方法建立了多元回归方程Y =-16.448 + 1.063X1 + 0.466X2, 其中Y为体重(g), X1为甲长(mm), X2为大螯动指长(mm)。选取的形态性状与体重的复相关指数R2=0.856, 定量分析了形态性状对体重的影响效果。
关键词:  天津厚蟹  形态性状  通径分析  多元回归
DOI:10.11693/hyhz201305034034
分类号:
基金项目:国家自然科学基金项目, 31101916号; 山东省现代农业产业技术体系虾蟹类专项, 2013—2015; 青岛农业大学校自然科学基金, 610804号; 山东省自然科学基金, ZR2010CM060号。
PATH ANALYSIS BETWEEN MORPHOMETRIC TRAITS AND BODY WEIGHT ON HELICE TIENTSINENSIS BY MULTIPLE REGRESSION
PING Hong-Ling,LI Yu-Quan
College of Marine Science and Engineering, Qingdao Agricultural University
Abstract:
To study the relationships of 11 morphological traits with the body weight (Y), 140 Helice tientsinensis from Laizhou Bay were sampled. The 11 morphological traits were carapace length (X1), chela moving-finger length (X2), carapace width (X3), interorbital distance (X4), first obital margin width (X5), second orbitai width (X6), length of fixed finger of claw (X7), width of fixed finger of claw (X8), length meropodit of claw (X9), length of meropodit of first peraeopod (X10), and body height (X11) were measured for correlation and path analyses. Determination coefficients, path coefficients, and correlation index were calculated. The results revealed a positive correlation (P<0.01) between the 11 traits and body weight; and multiple regression based on the path coefficients was established among X1 and X2 (in mm), and Y (in g) as Y =-16.448 + 1.063X1 + 0.466X2 (R2 = 0.856). In addition, the relationship of the morphological traits and the body weight was analyzed quantitatively.
Key words:  Helice tientsinensis  morphometric trait  path analysis  multiple regression
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