Questions tagged [ranks]

Ranks are ordinal numbers of the quantitative data values sorted ascendingly or descendingly. Various methods to assign ranks to equal values (ties) exist. Transform of values to ranks is often done in nonparametric data analysis. (Not to confuse with [ranking] task..) (See related: [order-statistics])

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How to analyze rank data? Any books/tutorials recommended? [closed]

Suppose I have kept record of a certain group of players on a specific game, which only generates ranks without any scores (e.g. which player has gone the 2nd farthest by the end), over a long enough ...
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1 vote
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How to create a rank from ranks?

I have calculated ranks for each row based on a condition on each column. Now I have, ...
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Suppose $(X,Y)$ have copula $C(u,v)$, does $(aX,aY)$ have the same copula for $a>0$?

Suppose $(X,Y)$ have copula $c(u,v)$ in the sense of $Pr(X\leq x,Y\leq y)=Pr(F_X(X)\leq F_X(x),F_Y(Y)\leq F_Y(y))=Pr(U\leq u, V\leq v)=c(u,v)$, where $u\equiv F_X(x)$ and $v\equiv F_Y(y)$ and $c(u,v)$ ...
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What is the minimum Pearson sample correlation given a perfect sample rank correlation with no ties? [duplicate]

Let $(X, Y)$ be a random sample of finite size $n$ from a bivariate continuous distribution with unknown parameters $(\rho_{XY},\mu_X,\mu_Y,\sigma_X,\sigma_Y)$. Assume observed values are real numbers ...
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comprasion of data (ranks) to a certain data sample

Excuse me for mistakes, non-native here. I'll describe my uni research and the problem i have troubles solving. I study perception of composition in paintings, for this i have two independent groups: ...
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Conditional expectation given the rank of the variable

Suppose that we have a random variable $X$ with distribution $F_X(x)$. Define the rank of the variable as $R = F_X(X)$. What can we say about $\mathbb{E}[X \mid R]$? If $F_X(X)$ is strictly ...
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How can I compare the elements of two lists (in terms of overall similarity and order) in R?

I have a list of the 'actual' top 25 authors and I want to compare this to lists of predicted top 25 authors (I have 5x repeats of the predicted list). I want to compare actual and predicted both in ...
1 vote
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Consistency of Wilcoxon rank sum statistic

In Chapter 1 of E. L. Lehmann's book Nonparametrics, he refers to the Wilcoxon Rank Sum test in treatment-control experiments. Using Lehmann's notation, let $N$ be the total number of units, $n$ the ...
1 vote
117 views

Invertibility of $E(X^\top X)$ and $\tilde{X}^\top \tilde{X}$

Consider the linear regression model with 3 regressors $$Y=\beta_1 Q+\beta_2 W+\beta_3 Z+\epsilon$$ Let $X\equiv (Q, W, Z)$ and $\beta\equiv (\beta_1,\beta_2,\beta_3)^\top$. Also suppose that \$Q,W,...
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