Article(id=1322158347256705584, tenantId=1146029695717560320, journalId=1225396423026438145, issueId=1322158299525530318, articleNumber=null, orderNo=null, doi=null, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1724601600000, receivedDateStr=2024-08-26, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1793156714499, onlineDateStr=2026-10-28, pubDate=1753372800000, pubDateStr=2025-07-25, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793156714499, onlineIssueDateStr=2026-10-28, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793156714499, creator=13701087609, updateTime=1793156714499, updator=13701087609, issue=Issue{id=1322158299525530318, tenantId=1146029695717560320, journalId=1225396423026438145, year='2025', volume='45', issue='7', pageStart='1', pageEnd='280', issueExtLink='null', onlineDate='null', pubDate='1753372800000', pubDateStr='2025-07-25', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1793156703120, creator='13701087609', updateTime=1793158832445, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1322167230608028625, tenantId=1146029695717560320, journalId=1225396423026438145, issueId=1322158299525530318, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1322167230608028626, tenantId=1146029695717560320, journalId=1225396423026438145, issueId=1322158299525530318, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=93, endPage=99, ext={EN=ArticleExt(id=1322158347441254961, articleId=1322158347256705584, tenantId=1146029695717560320, journalId=1225396423026438145, language=EN, title=Research on Strength of Tailings Waste Rock Composite Cemented Backfill Based on Orthogonal Test, columnId=null, journalTitle=Mining Research and Development, columnName=null, runingTitle=null, highlight=null, articleAbstract=
In order to solve the problems of serious accumulation of solid waste and low overall strength of backfill in a mine, tailings and waste rocks were used as filling aggregate, and polypropylene fiber was added to prepare filling material. Through orthogonal test, the effects of cement-sand ratio, waste rock gradation index and fiber content on the slump of filling slurry and the strength of backfill were investigated, and the optimum ratio of filling material was determined. The results show that the primary and secondary factors affecting the slump of filling slurry are waste rock gradation index, fiber content and cement-sand ratio, while the primary and secondary factors affecting the 28 days compressive and tensile strength of backfill are cement-sand ratio, fiber content and waste rock gradation index. The decrease of cement-sand ratio and the increase of waste rock gradation index will weaken the strength of backfill. When the fiber content is 0.6%, the strength of backfill is the largest. The fitting function of the strength of backfill and the slump under the influence of the coupling of the main factors was constructed. According to the fitting function, the three-dimensional model diagram of the influence relationship between the main factors and the performance index of backfill was established, which conformed to the relationship of Z=Ax2+By2+Cx+Dy+Exy+F. Based on the orthogonal test and the actual needs of the mine, the optimal ratio parameters of the filling material are obtained: cement-sand ratio of 1:5, waste rock gradation index of 0.8, and fiber content of 0.6%. Under this condition, the fluidity of filling slurry and the strength of backfill can meet the filling requirements of the mine, and the cost of the filling material is relatively low.
, authors=Yaoping ZHANG
1, 2, Xunwen ZHU
1, Daxing LEI
2, Bo LIU
2, Xionggang ZOU
2, authorsList=Yaoping ZHANG, Xunwen ZHU, Daxing LEI, Bo LIU, Xionggang ZOU, authorCompany=null, correspAuthors=Xunwen ZHU, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1322158348837958204, articleId=1322158347256705584, tenantId=1146029695717560320, journalId=1225396423026438145, language=CN, title=基于正交试验的尾砂废石复合胶结充填体强度研究, columnId=1226462294490657775, journalTitle=矿业研究与开发, columnName=采矿与矿山充填, runingTitle=null, highlight=null, articleAbstract=
为解决某矿山固废堆积严重、充填体整体强度低等问题,以尾砂、废石为充填骨料,并添加聚丙烯纤维制备充填料,通过正交试验,探究了灰砂比、废石级配指数、纤维掺量对充填料浆坍落度和充填体强度的影响,并确定最佳充填材料配比。结果表明:影响充填料浆坍落度的主次因素依次为废石级配指数、纤维掺量、灰砂比,而影响充填体28 d抗压、抗拉强度的主次因素则依次为灰砂比、纤维掺量、废石级配指数;灰砂比减小和废石级配指数增大均削弱充填体强度,纤维掺量为0.6%时,充填体强度最大;构建了主要因素耦合影响下的充填体强度及坍落度的拟合函数,根据拟合函数建立了主要因素与充填体性能各指标之间的影响关系三维模型图,均符合Z=Ax2+By2+Cx+Dy+Exy+F的关系;基于正交试验和矿山实际需求,得到最优充填材料配比参数:灰砂比1:5、废石级配指数0.8、纤维掺量0.6%,在此条件下,充填料浆的流动性和充填体强度均能满足矿山的充填要求,且充填材料的成本相对较低。
, authors=张耀平
1, 2, 朱训文
1, 雷大星
2, 刘波
2, 邹雄刚
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1.School of Resources and Environmental Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China
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1.江西理工大学 资源与环境工程学院,江西 赣州市 341000
2.赣南科技学院 资源与土木工程学院,江西 赣州市 341000, bio={"content":"
张耀平(1974—),男,江西赣州人,博士,教授,主要从事岩石力学、采矿工艺等方面的研究。E-mail:zyp2005csu@126.com
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张耀平(1974—),男,江西赣州人,博士,教授,主要从事岩石力学、采矿工艺等方面的研究。E-mail:zyp2005csu@126.com
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25(1):30-33., articleTitle=Liquidity detection based on the slump testing of coarse aggregate filling material, refAbstract=null), Reference(id=1322158357264315034, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, doi=null, pmid=null, pmcid=null, year=2019, volume=28, issue=2, pageStart=6, pageEnd=8+13, url=null, language=null, rfNumber=[22], rfOrder=31, authorNames=宋晓雨, 王公忠, 周银波, journalName=煤, refType=null, unstructuredReference=宋晓雨,王公忠,周银波.泵送矸石膏体充填材料配比实验[J].
煤,
2019,
28(2):6-8+13., articleTitle=泵送矸石膏体充填材料配比实验, refAbstract=null), Reference(id=1322158357364978331, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, doi=null, pmid=null, pmcid=null, year=2019, volume=28, issue=2, pageStart=6, pageEnd=8+13, url=null, language=null, rfNumber=[22], rfOrder=32, authorNames=SONG Xiaoyu, WANG Gongzhong, ZHOU Yinbo, journalName=Coal, refType=null, unstructuredReference=
SONG Xiaoyu,
WANG Gongzhong,
ZHOU Yinbo. Experimental study on the matching ratio of pumped gangue paste[J].
Coal,
2019,
28(2):6-8+13., articleTitle=Experimental study on the matching ratio of pumped gangue paste, refAbstract=null)], funds=null, companyList=[AuthorCompany(id=1322158349081227837, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, xref=1., ext=[AuthorCompanyExt(id=1322158349089616446, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, companyId=1322158349081227837, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
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1.江西理工大学 资源与环境工程学院,江西 赣州市 341000)]), AuthorCompany(id=1322158349194474048, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, xref=2., ext=[AuthorCompanyExt(id=1322158349202862657, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, companyId=1322158349194474048, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2.School of Resources and Civil Engineering, Gannan University of Science and Technology, Ganzhou, Jiangxi 341000, China), AuthorCompanyExt(id=1322158349215445570, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, companyId=1322158349194474048, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=
2.赣南科技学院 资源与土木工程学院,江西 赣州市 341000)])], figs=[ArticleFig(id=1322158351874634343, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Fig.1, caption=
Effect of various factors on the performance indicators of backfill, figureFileSmall=1PWL+ZKf1KdWe+iXM1+YeQ==, figureFileBig=+8rD8VwNc/alSsNVHgro8w==, tableContent=null), ArticleFig(id=1322158351966909032, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=图1, caption=
各因素对充填体性能指标的影响, figureFileSmall=1PWL+ZKf1KdWe+iXM1+YeQ==, figureFileBig=+8rD8VwNc/alSsNVHgro8w==, tableContent=null), ArticleFig(id=1322158352218567273, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Fig.2, caption=
Effects of main factors on the performances of backfill, figureFileSmall=mZeRGmwSFXglz6gzM6FLDw==, figureFileBig=5rWdaHVgK+rtrb4rxzhNDw==, tableContent=null), ArticleFig(id=1322158352310841962, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=图2, caption=
主要影响因素对充填体性能的影响, figureFileSmall=mZeRGmwSFXglz6gzM6FLDw==, figureFileBig=5rWdaHVgK+rtrb4rxzhNDw==, tableContent=null), ArticleFig(id=1322158352398922347, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 1, caption=
Chemical composition of tailings and waste rocks
, figureFileSmall=null, figureFileBig=null, tableContent=
| 材料 | SiO2 | CaO | TFe | MgO | Al2O3 | Fe2O3 | 其他 |
|---|
| 尾砂 | 42.25 | 11.88 | 11.70 | 27.35 | 4.40 | 0.29 | 2.13 |
| 废石 | 48.31 | 19.26 | 5.70 | 16.35 | 8.40 | 1.29 | 0.69 |
), ArticleFig(id=1322158352491197036, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表1, caption=
尾砂和废石化学成分
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| 材料 | SiO2 | CaO | TFe | MgO | Al2O3 | Fe2O3 | 其他 |
|---|
| 尾砂 | 42.25 | 11.88 | 11.70 | 27.35 | 4.40 | 0.29 | 2.13 |
| 废石 | 48.31 | 19.26 | 5.70 | 16.35 | 8.40 | 1.29 | 0.69 |
), ArticleFig(id=1322158352604443245, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 2, caption=
Particle size distribution of tailings
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| 粒径/μm | 累计占比/% | 粒径/μm | 累计占比/% |
|---|
| -5 | 22.53 | -100 | 77.70 |
| -10 | 31.47 | -200 | 87.84 |
| -20 | 49.39 | -250 | 90.67 |
| -35 | 59.55 | -500 | 98.71 |
| -50 | 65.73 | -1 000 | 100.00 |
), ArticleFig(id=1322158352780604014, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表2, caption=
尾砂粒径分布
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| 粒径/μm | 累计占比/% | 粒径/μm | 累计占比/% |
|---|
| -5 | 22.53 | -100 | 77.70 |
| -10 | 31.47 | -200 | 87.84 |
| -20 | 49.39 | -250 | 90.67 |
| -35 | 59.55 | -500 | 98.71 |
| -50 | 65.73 | -1 000 | 100.00 |
), ArticleFig(id=1322158352939987567, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 3, caption=
Particle size distribution of waste rocks
, figureFileSmall=null, figureFileBig=null, tableContent=
| 粒径/μm | 累计占比/% | 粒径/μm | 累计占比/% |
|---|
| 2 | 26.3 | 8 | 71.1 |
| 4 | 34.5 | 10 | 85.1 |
| 6 | 49.7 | 12 | 100.0 |
), ArticleFig(id=1322158353028067952, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表3, caption=
废石粒径分布
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| 粒径/μm | 累计占比/% | 粒径/μm | 累计占比/% |
|---|
| 2 | 26.3 | 8 | 71.1 |
| 4 | 34.5 | 10 | 85.1 |
| 6 | 49.7 | 12 | 100.0 |
), ArticleFig(id=1322158353120342641, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 4, caption=
Physical properties of polypropylene fiber
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| 抗拉强度/MPa | 弹性模量/GPa | 断裂伸长率/% | 密度/(g/cm3) | 纤维直径/μm | 熔点/℃ | 燃点/℃ | 抗酸碱性 |
|---|
| ≥400 | ≥3.85 | 28 | 0.91 | 31 | 180 | 590 | 高 |
), ArticleFig(id=1322158353200034418, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表4, caption=
聚丙烯纤维物理性能
, figureFileSmall=null, figureFileBig=null, tableContent=
| 抗拉强度/MPa | 弹性模量/GPa | 断裂伸长率/% | 密度/(g/cm3) | 纤维直径/μm | 熔点/℃ | 燃点/℃ | 抗酸碱性 |
|---|
| ≥400 | ≥3.85 | 28 | 0.91 | 31 | 180 | 590 | 高 |
), ArticleFig(id=1322158353283920499, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 5, caption=
Schemes of orthogonal test
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| 水平 | 因素 |
|---|
| 灰砂比(A) | 废石级配指数n(B) | 纤维掺量(C)/% |
|---|
| 1 | 1:4 | 0.2 | 0.2 |
| 2 | 1:5 | 0.4 | 0.4 |
| 3 | 1:6 | 0.6 | 0.6 |
| 4 | 1:8 | 0.8 | 0.8 |
), ArticleFig(id=1322158353388778100, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表5, caption=
正交试验方案
, figureFileSmall=null, figureFileBig=null, tableContent=
| 水平 | 因素 |
|---|
| 灰砂比(A) | 废石级配指数n(B) | 纤维掺量(C)/% |
|---|
| 1 | 1:4 | 0.2 | 0.2 |
| 2 | 1:5 | 0.4 | 0.4 |
| 3 | 1:6 | 0.6 | 0.6 |
| 4 | 1:8 | 0.8 | 0.8 |
), ArticleFig(id=1322158353481052789, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 6, caption=
Results of orthogonal test
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| 编号 | A | B | C/% | 坍落度/cm | 28 d抗压强度/MPa | 28 d抗拉强度/MPa |
|---|
| 1 | 1:4 | 0.2 | 0.2 | 22.5 | 5.667 | 1.090 |
| 2 | 1:4 | 0.4 | 0.4 | 23.1 | 5.769 | 1.079 |
| 3 | 1:4 | 0.6 | 0.6 | 25.1 | 5.732 | 1.158 |
| 4 | 1:4 | 0.8 | 0.8 | 24.3 | 5.456 | 0.887 |
| 5 | 1:5 | 0.2 | 0.4 | 22.0 | 5.520 | 0.962 |
| 6 | 1:5 | 0.4 | 0.2 | 24.6 | 5.235 | 0.739 |
| 7 | 1:5 | 0.6 | 0.8 | 23.8 | 5.180 | 0.890 |
| 8 | 1:5 | 0.8 | 0.6 | 26.2 | 5.244 | 0.984 |
| 9 | 1:6 | 0.2 | 0.6 | 21.6 | 4.273 | 0.967 |
| 10 | 1:6 | 0.4 | 0.8 | 22.8 | 3.823 | 0.784 |
| 11 | 1:6 | 0.6 | 0.2 | 26.4 | 3.046 | 0.521 |
| 12 | 1:6 | 0.8 | 0.4 | 26.9 | 3.380 | 0.686 |
| 13 | 1:8 | 0.2 | 0.8 | 21.6 | 3.326 | 0.744 |
| 14 | 1:8 | 0.4 | 0.6 | 24.1 | 3.443 | 0.788 |
| 15 | 1:8 | 0.6 | 0.4 | 25.7 | 2.643 | 0.579 |
| 16 | 1:8 | 0.8 | 0.2 | 27.3 | 2.210 | 0.316 |
), ArticleFig(id=1322158353585910390, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表6, caption=
正交试验结果
, figureFileSmall=null, figureFileBig=null, tableContent=
| 编号 | A | B | C/% | 坍落度/cm | 28 d抗压强度/MPa | 28 d抗拉强度/MPa |
|---|
| 1 | 1:4 | 0.2 | 0.2 | 22.5 | 5.667 | 1.090 |
| 2 | 1:4 | 0.4 | 0.4 | 23.1 | 5.769 | 1.079 |
| 3 | 1:4 | 0.6 | 0.6 | 25.1 | 5.732 | 1.158 |
| 4 | 1:4 | 0.8 | 0.8 | 24.3 | 5.456 | 0.887 |
| 5 | 1:5 | 0.2 | 0.4 | 22.0 | 5.520 | 0.962 |
| 6 | 1:5 | 0.4 | 0.2 | 24.6 | 5.235 | 0.739 |
| 7 | 1:5 | 0.6 | 0.8 | 23.8 | 5.180 | 0.890 |
| 8 | 1:5 | 0.8 | 0.6 | 26.2 | 5.244 | 0.984 |
| 9 | 1:6 | 0.2 | 0.6 | 21.6 | 4.273 | 0.967 |
| 10 | 1:6 | 0.4 | 0.8 | 22.8 | 3.823 | 0.784 |
| 11 | 1:6 | 0.6 | 0.2 | 26.4 | 3.046 | 0.521 |
| 12 | 1:6 | 0.8 | 0.4 | 26.9 | 3.380 | 0.686 |
| 13 | 1:8 | 0.2 | 0.8 | 21.6 | 3.326 | 0.744 |
| 14 | 1:8 | 0.4 | 0.6 | 24.1 | 3.443 | 0.788 |
| 15 | 1:8 | 0.6 | 0.4 | 25.7 | 2.643 | 0.579 |
| 16 | 1:8 | 0.8 | 0.2 | 27.3 | 2.210 | 0.316 |
), ArticleFig(id=1322158353661407863, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 7, caption=
Range analysis of orthogonal test results
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| 影响因素 | 坍落度/cm | 28 d抗压强度/MPa | 28 d抗拉强度/MPa |
|---|
| 灰砂比(A) | 0.900 | 2.751 | 0.447 |
| 废石级配指数(B) | 4.375 | 0.624 | 0.223 |
| 纤维掺量(C) | 1.950 | 0.634 | 0.308 |
), ArticleFig(id=1322158353745293944, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表7, caption=
正交试验结果的极差分析
, figureFileSmall=null, figureFileBig=null, tableContent=
| 影响因素 | 坍落度/cm | 28 d抗压强度/MPa | 28 d抗拉强度/MPa |
|---|
| 灰砂比(A) | 0.900 | 2.751 | 0.447 |
| 废石级配指数(B) | 4.375 | 0.624 | 0.223 |
| 纤维掺量(C) | 1.950 | 0.634 | 0.308 |
), ArticleFig(id=1322158353887900281, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=EN, label=Table 8, caption=
Variance analysis of orthogonal test results
, figureFileSmall=null, figureFileBig=null, tableContent=
| 目标参数 | 方差来源 | 离差平方和 | 自由度 | 均方 | F值 | P值 | 显著性 |
|---|
| 坍落度/cm | A | 1.797 | 3 | 0.599 | 5.106 | 0.107 | 不显著 |
| B | 43.297 | 3 | 14.432 | 123.046 | 0.001 | 显著 |
| C | 8.812 | 3 | 2.937 | 25.043 | 0.013 | 显著 |
| 误差 | 0.352 | 3 | 0.117 | — | — | — |
| 28 d抗压强度/MPa | A | 20.802 | 3 | 6.934 | 839.675 | 0.001 | 显著 |
| B | 1.130 | 3 | 0.377 | 45.594 | 0.005 | 显著 |
| C | 0.834 | 3 | 0.278 | 33.681 | 0.008 | 显著 |
| 误差 | 0.025 | 3 | 0.008 | — | — | — |
| 28 d抗拉强度/MPa | A | 0.447 | 3 | 0.149 | 37.991 | 0.007 | 显著 |
| B | 0.107 | 3 | 0.036 | 9.078 | 0.051 | 不显著 |
| C | 0.190 | 3 | 0.063 | 16.094 | 0.024 | 显著 |
| 误差 | 0.012 | 3 | 0.004 | — | — | — |
), ArticleFig(id=1322158353975980666, tenantId=1146029695717560320, journalId=1225396423026438145, articleId=1322158347256705584, language=CN, label=表8, caption=
正交试验结果的方差分析
, figureFileSmall=null, figureFileBig=null, tableContent=
| 目标参数 | 方差来源 | 离差平方和 | 自由度 | 均方 | F值 | P值 | 显著性 |
|---|
| 坍落度/cm | A | 1.797 | 3 | 0.599 | 5.106 | 0.107 | 不显著 |
| B | 43.297 | 3 | 14.432 | 123.046 | 0.001 | 显著 |
| C | 8.812 | 3 | 2.937 | 25.043 | 0.013 | 显著 |
| 误差 | 0.352 | 3 | 0.117 | — | — | — |
| 28 d抗压强度/MPa | A | 20.802 | 3 | 6.934 | 839.675 | 0.001 | 显著 |
| B | 1.130 | 3 | 0.377 | 45.594 | 0.005 | 显著 |
| C | 0.834 | 3 | 0.278 | 33.681 | 0.008 | 显著 |
| 误差 | 0.025 | 3 | 0.008 | — | — | — |
| 28 d抗拉强度/MPa | A | 0.447 | 3 | 0.149 | 37.991 | 0.007 | 显著 |
| B | 0.107 | 3 | 0.036 | 9.078 | 0.051 | 不显著 |
| C | 0.190 | 3 | 0.063 | 16.094 | 0.024 | 显著 |
| 误差 | 0.012 | 3 | 0.004 | — | — | — |
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