{"title":"方差分析","authors":"R. Bethea, R. Rhinehart","doi":"10.1142/9789811200410_0006","DOIUrl":null,"url":null,"abstract":" continuous probability distribution skewed to the right variable values on horizontal axis are 0 area under the curve represents probability horizontal asymptote – extends to infinity along positive horizontal axis\\ curve gets closer to horizontal axis but does not touch it as X gets large The shape of the F distribution is determined by two values for “degrees of freedom”. The degrees of freedom are both written as subscripts. The theoretical mathematical formula for the F probability distribution is a ratio, so the two values for degrees of freedom are associated with the numerator and the denominator of the ratio. The “first” number for degrees of freedom is associated with the numerator; The “second” number for degrees of freedom is associated with the denominator. Notation F df for “numerator”, df for “denominator”","PeriodicalId":334587,"journal":{"name":"Statistics for the Social Sciences","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of Variance\",\"authors\":\"R. Bethea, R. Rhinehart\",\"doi\":\"10.1142/9789811200410_0006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\" continuous probability distribution skewed to the right variable values on horizontal axis are 0 area under the curve represents probability horizontal asymptote – extends to infinity along positive horizontal axis\\\\ curve gets closer to horizontal axis but does not touch it as X gets large The shape of the F distribution is determined by two values for “degrees of freedom”. The degrees of freedom are both written as subscripts. The theoretical mathematical formula for the F probability distribution is a ratio, so the two values for degrees of freedom are associated with the numerator and the denominator of the ratio. The “first” number for degrees of freedom is associated with the numerator; The “second” number for degrees of freedom is associated with the denominator. Notation F df for “numerator”, df for “denominator”\",\"PeriodicalId\":334587,\"journal\":{\"name\":\"Statistics for the Social Sciences\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics for the Social Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9789811200410_0006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics for the Social Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789811200410_0006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
continuous probability distribution skewed to the right variable values on horizontal axis are 0 area under the curve represents probability horizontal asymptote – extends to infinity along positive horizontal axis\ curve gets closer to horizontal axis but does not touch it as X gets large The shape of the F distribution is determined by two values for “degrees of freedom”. The degrees of freedom are both written as subscripts. The theoretical mathematical formula for the F probability distribution is a ratio, so the two values for degrees of freedom are associated with the numerator and the denominator of the ratio. The “first” number for degrees of freedom is associated with the numerator; The “second” number for degrees of freedom is associated with the denominator. Notation F df for “numerator”, df for “denominator”