Positive Spearman's r value with negative abline -


i'm looking on data collected week-end , 1 of spearman correlation test gave me positive value, when add abline on plot, descending. i'm curious how can possible.

here's data study:

    year matches total 1   1958    2   7 2   1959    2   14 3   1960    5   9 4   1961    2   20 5   1962    4   27 6   1963    5   20 7   1964    5   25 8   1965    5   20 9   1966    3   18 10  1967    5   28 11  1968    6   26 12  1969    4   24 13  1970    6   22 14  1971    7   32

and here's procedure used:

results<- (study$matches/study$total)*100 year<-study$year plot(year, results, main = "main") fit1 <- lm (results ~ year, data = study) abline(fit1, lty = "dashed") cor.test(year, results, method = "s")

the fit produces linear model. pearson linear correlation , negative. spearman non-linear , based on ranking.

> cor.test(year,results,method="spearman")  spearman's rank correlation rho  data:  year , results s = 438.9647, p-value = 0.9048 alternative hypothesis: true rho not equal 0 sample estimates:        rho  0.03524238   warning message: in cor.test.default(year, results, method = "spearman") :   cannot compute exact p-value ties > cor(year,results,method="spearman") [1] 0.03524238 > cor(year,results,method="pearson") [1] -0.17501

it correctly plotting negative linear correlation. happens spearman positive. unintuitive things can happen when correlations low. high p-value clue too.


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