# 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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### Two-Sample Rank Statistics

Assume we got two models, either regression or RF or whatever. I'm trying to observe the relative importance of each feature by using ranks. That is, if we look at a regression model, we have a t-test ...
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### Algorthm for discerning which top X values in a list are statistically ranked higher than the bottom Y

Given a ranked list, which contains values with high uncertainty, I would like to remove as many of the middle values that have high overlap in uncertainties as possible, and be left with more or less ...
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### What is the best way to represent Spearman’s correlation graphically?

For my thesis research I have to do Spearman’s correlation tests on a set of ordinal variables. I would like to represent the correlations graphically to include them in the report and give a clearer ...
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### Quantifying agreement of ordinally ranked sequences

I've been using a very particular set of closely related metrics to quantify how well two ranked sequences agree with one another. I'd like to know if this way of thinking is well-known and if any of ...
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### Testing for differential ranking between lists relative to a reference list

I am interested in comparing ranked lists in order to find elements that are differently ranked. Suppose we have 10 lists, each ranked (and for simplicity assuming the elements overlap and only the ...
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### Interaction between variables to create a ranking system

I was wondering if there is a standard way to rank cases by multiple variables. When we have only 1 quantitative variable, the ranking is trivial, you sort the cases by comparing the magnitude between ...
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### Arrange data so that two variables are linear

I have the following set of rainfall intensity data and I want to make a compilation of the rainfall intensities above some practical minimum as shown in the figure below. So the intensity and the ...
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### Why Spearman's rank correlation ranges from from -1 to 1

$$\rho = 1 - \frac{6 \sum d_i^2}{n(n^2 - 1)}$$ $\rho$ = Spearman's rank correlation coefficient $d_i$ = difference between the two ranks of each observation $n$ = number of observations Given the ...
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### Correlation Test Between a Categorical Variable and an Ordinal (In the form of a ranking) Variable

I have a dataset of book sales by rank and the color of the cover. I would like to find a relationship between the rank of the book and the color of the cover. I'd like to know how to do this analysis ...
1 vote
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### How to check if two lists of rankings lists are statistically significant different

To make my problem more clear I will give some examples of my data: Measure A Measure B Set 1 5 3 1 4 2 5 4 2 3 1 Set 2 5 1 3 4 2 5 4 1 3 2 Set 3 2 4 3 5 1 5 2 3 4 1 Set 4 3 4 1 5 2 5 3 2 4 1 ...
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### Are there any surveys of the opinions of statisticians on the usefulness of classical rank-based nonparametric statistics?

The following comes from a YouTube video: Robustness in Statistics, which I have tried to quote verbatim. In Biology and Medicine these procedures are extremely popular, and I don't know why. They're ...
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### bootstrap time series using the rank

Don Walpola wrote a good overview of the bootstrap techniques used for time series (https://stats.stackexchange.com/a/450894). I searched through the literature, and did not find a single method ...
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### Do statistical models allow for "ranking their outputs"?

Suppose you create a regression model that predicts the hourly salary based on age and height. Suppose you have some new age and height measurements for 5 new people. The regression model predicts the ...
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### Which items in two ranked lists are ranked significantly different?

I have 91 items ranked by different demographic groups of questionnaire participants. The rank lists for each group are all the same length and contain identical items. I understand that I can perform ...
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### Why are extreme correlations so common in this Monte Carlo simulation? [duplicate]

Consider the following simple Monte Carlo: ...
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### How can I determine the rank of matrix $X$ given the LSE of $X\beta$?

I am given the LSE of $X\beta$, but I need to find the rank of $X$. Is there any result or theorem that allows me to obtain $r(X)$?
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### Compare rank-order stability over different periods of time

I have a large dataset of repeated measures of students' performance in several domains. Among other things, I want to look at the (rank-order) stability of performance between measurement times. ...
1 vote
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### utilising ipsative measures

I am using a data set containing ipsative measures resulting from forced ranks. For example, respondents are asked to rank in terms of importance various methods of employee development (training, ...
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### How to weight ranks?

I have a set of responses ranked by my participants. For example, they gave responses A, B, C and ranked them as 3, 2, 1 (or C, B, A). I computed relative frequencies of each responses (A, B, C) and ...
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### How should I visually represent these preference rankings?

I'm trying to visually represent the following rankings in a clear and intuitive way, but am unsure of how to best do that. Here's the data: There are 4 outcomes: A1, A2, B1, B2 The letters are the ...
1 vote
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### Is it possible to calculate spearman rank correlation between three generations?

In my analysis I determine the intergenerational transmission of social status. In the literature it is common to use OLS regressions for this purpose. In addition to these regressions, I also ...
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### How can I rank values that are not normally distributed?

I have one metric value changing between 0 and 1 for 650 observations. When I analyze frequency distribution I see that the values are right skewed. I need to classify values as high/medium/low. I ...
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1 vote
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### Do rank transformations induce dependence?

I am interested in an explanation of whether rank-transforming continuous variables induces dependence in model errors that violates the typical i.i.d assumption of generalized linear models. Suppose ...
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### Clustering with ranking data [duplicate]

I'm just trying to get some practice with implementing some Machine Learning algorithms with a variety of data. I'm just getting started so I'm pretty new to the whole process and would appreciate any ...
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### how to apply correction for ties in Conover squared Ranks Test

I am writing code for Conover Squared rank test in Python but I am unable to find right formula to make corrections for ties in order to calculate the p value. I understand the average of the tied ...
1 vote