Selection for Independent Variables and Regression Method in Logistic Regression: An Example Analysis_Chinese Journal of Evidence-Based Medicine

Authors：

 XURu-fu

Evidence-based Medicine and Clinical Epidemiology Center, Xinqiao Hospital, Third Military Medical University, Chongqing 400037, China;

Corresponding?author：

Keywords：

Logistic regression; Selection of independent variable; Stepwise regression

DOI：

10.7507/1672-2531.20160205

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Objective To explore the selection problem of independent variables and stepwise regression method for multiple logistic regression analysis. Methods According to the data of the case-control investigation for coronary heart disease, age (X₁), hypertension history (X₂), hypertension family history (X₃), smoking (X₄), hyperlipidemia history (X₅), animal fat intake (X₆), weight index (X₇), type A personality (X₈), and coronary heart disease (CHD, Y) were analyzed by SPSS 18.0 software. The multiple logistic regression analysis was done and the differences of risk factors were compared among 6 kinds stepwise regression variable selection method. Results The univariate analysis showed that no difference was found between CHD group and non-CHD group in age distribution (P=0.116). But the multivariate logistic regression analysis showed that, comparing to population over 65 years old, age was a protective factor on the low age groups (OR_{< 45}=0.100, 0.000 to 0.484, P=0.020; OR_45-54=0.051, 0.003 to 0.975, P=0.048). If the age was defined as categorical variable, the risk factors for coronary heart disease were animal fat intake (X₆), type A personality (X₈), hypertension history (X₅) and age (X₁), respectively (P < 0.05). If the age was defined as a continuous variable, the effect of age (X₁) was not statistically significant (P=0.053). The common risk factors were intake of animal fat (X₆) and type a personality (X₈) by six kinds method of stepwise variable selection. In addition, the risk factor also included hyperlipidemia history (X₅) (forward-condition, forward-LR, forward-wald), hypertension family history (X₃), age (X₁) (backward-condition, backward-LR) and hypertension history (X₂) (backward-wald). Conclusion Stepwise regression method should be used to analyze all the variables, including no statistically significant independent variables in univariate analysis. If the categorical variable is regarded as continuous variables, some information may be lost, and even the risk factors may be missed. When the risk factors are not the same by several stepwise regression variable selection method, it should be combined with clinical and epidemiological significance, as well as biological mechanisms and other professional knowledge.

Citation： XURu-fu. Selection for Independent Variables and Regression Method in Logistic Regression: An Example Analysis. Chinese Journal of Evidence-Based Medicine, 2016, 16(11): 1360-1364. doi: 10.7507/1672-2531.20160205 Copy

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7.	胡曉斌, 楊軼男, 白亞娜.蘭州市6825例住院孕產婦不良妊娠結局危險因素的logistic回歸分析.中國循證醫學雜志, 2011, 11(5):505-507.
8.	劉迎春, 吳德云, 高宗恩, 等.高血壓患者頸動脈粥樣硬化與同型半胱氨酸的相關性研究.中國循證醫學雜志, 2015, 15(5):503-507.
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13.	張曉芳, 劉方竹, 劉明建.血流感染的危險因素分析及其與早期炎癥因子相關性研究.中國現代醫學雜志, 2015, 25(11):51-54.
14.	張春蓮.引起異位妊娠相關因素的病例對照研究.當代醫學, 2010, 16(16):47-48.
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17.	陳德超, 祝申躍, 田玉蓮, 等.蘆山地震后3個月教師廣泛性焦慮障礙的預測因素.中國循證醫學雜志, 2015, 15(10):1121-1126.
18.	李洪衛, 周瑤, 王海燕, 等.藏族居民早發冠心病危險因素的橫斷面研究.中國循證醫學雜志, 2014, 14(6):662-664.
19.	王偉文, 廖曉陽, 楊職藝, 等.成都市中心城區社區中老年居民抑郁癥篩查及其危險因素研究.中國循證醫學雜志, 2014, 14(1):21-24.
20.	彭大慶, 楊職藝, 廖曉陽, 等.成都市城鄉男性居民COPD患病情況及危險因素調查.中國循證醫學雜志, 2014, 14(8):923-926.
21.	謝多雙, 來瑞平, 符湘云, 等. ICU患者醫院感染logistic回歸模型預測.中華醫院感染學雜志, 2011, 21(12):2424-2426.
22.	鮑雪俐, 吉別克·烏拉兒汗, 于倩, 等.喀什市維吾爾族和漢族重度嬰幼兒齲危險因素的橫斷面研究.中國循證醫學雜志, 2014, 14(3):260-264.
23.	羅承鋒, 仁杰, 李愛群, 等.血清膽紅素水平與冠脈支架植入術后患者冠脈事件復發的相關性研究.中國循證醫學雜志, 2014, 14(8):905-910.

1. 方積乾, 主編.衛生統計學.第五版.北京:人民衛生出版社, 2004:356-367.
2. 易東, 主編.軍事醫學統計學.北京:軍事醫學科學出版社, 2009:245-259.
3. Bi Y, Wang L, Xu Y, et al. Diabetes-related metabolic risk factors in internal migrant workers in China:a national surveillance study. Lancet Diabetes Endocrinol, 2016, 4(2):125-135.
4. Yu J, Zhuang CL, Shao SJ, et al. Risk factors for postoperative fatigue after gastrointestinal surgery. J Surg Res, 2015, 194(1):114-119.
5. Khan BT, Kiani MN, Bin Saeed MH, et al. Risk factors assessment for dry sockets:A logistic regression analysis study. J Oral Maxil Surg, 2015, 27(6):753-756.
6. Chen YF, Wang DN, Chen ZT, et al. Risk factors associated with acute/subacute cerebral infarction in HIV-negative patients with cryptococcal meningitis. J Neurol Sci, 2016, 364:19-23.
7. 胡曉斌, 楊軼男, 白亞娜.蘭州市6825例住院孕產婦不良妊娠結局危險因素的logistic回歸分析.中國循證醫學雜志, 2011, 11(5):505-507.
8. 劉迎春, 吳德云, 高宗恩, 等.高血壓患者頸動脈粥樣硬化與同型半胱氨酸的相關性研究.中國循證醫學雜志, 2015, 15(5):503-507.
9. 張文彤, 董偉, 主編. SPSS統計分析高級教程.第二版.北京:高等教育出版社, 2013:162-180.
10. Wang XR, Han BR. Logistic regression analysis and nursing interventions for high-risk factors for pressure sores in patients in a surgical intensive care unit. Chin Nurs Res, 2015, 2(2-3):51-54.
11. 陳夏容, 張華平, 曾秀玉, 等.社區產ESBLs大腸埃希菌泌尿系感染的危險因素分析.中國循證醫學雜志, 2016, 16(2):125-129.
12. 王建華, 肖蕾, 張哲, 等.心腦合病危險因素的橫斷面調查.中國循證醫學雜志, 2014, 14(4):408-413.
13. 張曉芳, 劉方竹, 劉明建.血流感染的危險因素分析及其與早期炎癥因子相關性研究.中國現代醫學雜志, 2015, 25(11):51-54.
14. 張春蓮.引起異位妊娠相關因素的病例對照研究.當代醫學, 2010, 16(16):47-48.
15. 張蘭, 余進進.子宮肌瘤發病的相關危險因素Logistic回歸分析.東南大學學報(醫學版), 2012, 31(2):213-216.
16. 高海紅, 談林華, 張彩云, 等.嬰幼兒心內直視術后呼吸機相關性肺炎高危因素分析.中華肺部疾病雜志, 2012, 5(3):210-215.
17. 陳德超, 祝申躍, 田玉蓮, 等.蘆山地震后3個月教師廣泛性焦慮障礙的預測因素.中國循證醫學雜志, 2015, 15(10):1121-1126.
18. 李洪衛, 周瑤, 王海燕, 等.藏族居民早發冠心病危險因素的橫斷面研究.中國循證醫學雜志, 2014, 14(6):662-664.
19. 王偉文, 廖曉陽, 楊職藝, 等.成都市中心城區社區中老年居民抑郁癥篩查及其危險因素研究.中國循證醫學雜志, 2014, 14(1):21-24.
20. 彭大慶, 楊職藝, 廖曉陽, 等.成都市城鄉男性居民COPD患病情況及危險因素調查.中國循證醫學雜志, 2014, 14(8):923-926.
21. 謝多雙, 來瑞平, 符湘云, 等. ICU患者醫院感染logistic回歸模型預測.中華醫院感染學雜志, 2011, 21(12):2424-2426.
22. 鮑雪俐, 吉別克·烏拉兒汗, 于倩, 等.喀什市維吾爾族和漢族重度嬰幼兒齲危險因素的橫斷面研究.中國循證醫學雜志, 2014, 14(3):260-264.
23. 羅承鋒, 仁杰, 李愛群, 等.血清膽紅素水平與冠脈支架植入術后患者冠脈事件復發的相關性研究.中國循證醫學雜志, 2014, 14(8):905-910.

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