相关系数种类(Types of correlation coefficients)Types of correlation coefficients
(I) Pearson product difference correlation (K. Pearson product-moment correlation; R)
社会变化1. X variables: isometry, ratio variables (continuous variables)
2. Y variables: isometry, ratio variables (continuous variables)
红色诗词手抄报3. formula:
4. characteristics: numerical stability, standard error.
5. cas: the relationship between working hours and income.
(two) Spearman rank correlation (Spearman rank correlation; RS)
1. X variables: ordinal variables
2. Y variables: ordinal variables跟时间赛跑
3. formula:
(1) without the same rank: (D is the rank difference of two variable symmetry)
(2) people with the same grade:
T: the number of people who receive the same grade.
4. features: suitable for two raters to evaluate N pieces, or the same rater, two times to evaluate N pieces.
5. cas: evaluation of N students' works by two reviewers.
(three) Kendall rank correlation (Kendall's coefficient of rank correlation; (tau))
1. X variables: human order variables
2. Y variables: human order variables
3. formula: S: rank ordinal quantity; N: the number of persons evaluated or the number of works
4. features: quite simple
5. cas: evaluation of N students' works by two reviewers.
(four) Kendall concordance coefficient (the Kendall's coefficient of concordance; W)
1. X variables: ordinal variables
2. Y variables: ordinal variables
3. formula:
(1) without the same grade:;
(2) people with the same grade:;;
K: the number of raters; N: the number of persons being evaluated or the number of entries
4. features: especially for the inter rater reliability (interjudge reliability); test the consistency of the evaluation of N works by many reviewers.
5. cas: evaluation of N students' works by multi site evaluation.
(five) Kappa consistency coefficient (K coefficient of agreement; K)
1. X variables: categorical variables
2. Y variables: categorical variables
The 3. formula: the Kappa consistency coefficient is the ratio of the percentage of the actual evaluation of the raters to the percentage of the maximum possible number of raters evaluated by the raters (Lin Wei, 1992). Formula for:
P (A): the percentage of K rater ratings;
N: total number; K: rater number; m: rating category; N: fine grid data
P (E): K score raters can theoretically asss the percentage of consistency; when the rater's rating is exactly the same, then K=1, when the rater's rating is completely inconsistent, then K=0.
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4. characteristics: the Kendeer harmony coefficient, the score is limited in the evaluation object can be evaluated. That is, can list the order. However, in some cas cannot be assd object list rank order, and can only be classified in a category, at this time, you must u Kappa to indicate the consistency coefficient, the consistency of the relationship between the score.
5. cas: K psychiatrists, N patients were classified into m categories of mental illness after diagnosis.
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(six) two ries correlation (birial correlation; RBIs)
1. X variables: anthropogenic two variables (nominal variables)
2. Y variables: continuous variables (isometric, ratio variables)
3. formula:
追风透骨胶囊4. features: u in project analysis; standard error is large; RBIs may be greater than 1.
5. cas: the relationship between IQ and academic achievement or not.
(ven) point two ries correlation (point-birial correlation; rpq)
世界人口密度排名1. X variables: real two variables (nominal variables)
点的面化2. Y variables: continuous variables
3. formula:
Table 1: the average of the first class; the mean of the first class; St: the standard deviation of the total fraction;
P: Table 1 percentage of the number of people; Q: percentage of people in table cond.
4. characteristic: standard error is smaller than rbis.
5. cas: the relationship between gender (male, female) and income.
(eight) correlation (phi coefficient;)
1. X variables: real two variables (nominal variables)
2. Y variables: real two variables (nominal variables)
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