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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68 views

Can I use multiple regression on a ranked response variable as a significance test for multiple covariates?

This blog post illustrates the relationship between inference tests on groups (t-test, ANOVA, etc.) and equivalent linear models. It also claims that for reasonable sample size, regression of a ranked ...
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Variance of rank of means

Consider an $n\times m$ matrix of scores obtained by measuring $n$ items $m$ times. Items are assumed independent with unique variances. The sample mean of each row is calculated and the resulting ...
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Identify difficult parameter to measure [closed]

I am using different tools to measure x on some objects. The tools were tested on a small set of objects for which the true x is known. And so the predicted values were found to not be accurate for ...
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Consistency test

I have data that consists of 7 characteristics for each participant. There are about 170 participants. The test was repeated in some time and the same 7 characteristics were acquired. I need to find ...
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How to plot Ranked Linear Regression values in original data plot?

Left Image Shows original EUR/USD values and the corresponding Regression line based on the original values. Right Image Shows the ranked values and ist corresponding ranked Regression line. Values ...
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Rank error metric for time series

Suppose I have a collection of MAE across multiple time series (say, 10), and 3 models. However, MAE cannot be compared across time series. I compare the errors in this way: assign ranks to models, ...
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Correlation between an observation and its rank in a random sample

Suppose $X_1,X_2,\ldots,X_n$ are i.i.d random variables with an absolutely continuous distribution. We say the observation $X_i$ has rank $R_i$ if $$X_i=X_{(R_i)}\quad,\,i=1,2,\ldots,n,$$ where $X_{(...
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Is ratio of ranks a well-studied statistic?

I have two lists of recommendations: that is, two different algorithms have assigned ranks to the same list of objects. I would like to know if they're similar. I specifically care more about ...
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Robust distance measure for correlated data

I read a paper in which the authors want to compare the overall predictive accuracy of various predictors on a set of variables by using the Mahalanobis-Distance. However the data is not even ...
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13 views

rank-sum statistic Storey and Tibshirani

This seems to be a pretty basic question, but I can't seem to completely follow this definition of the rank-sum statistic. The below can be found in the article Statistical Methods For Identifying ...
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Method for clustering multiple power law variables

Are there any clustering methods suitable for clustering high dimensional datasets that are composed of multiple highly skewed variables, including power law distributed variables? I am considering ...
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Somers' D deteriorating for more granular rankings

Background I have 30 observations and I want to compare how much experts and model agree with each other. For Model and Expert I have slots which are $\in [1,4]$ and ranking which are $\in [1,30]$. ...
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How to test association between rank difference and continuous numerical variable

Suppose we have two timepoints, $t_1$ and $t_2$, and a population of size N for which, at each time point, we have rankings of the members of the population, $x_1$, $x_2$,...$x_N$, and also observe a ...
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Statistical test for a difference in ranked groups

I have an odd problem; I'm computing the axis lengths of ellipsoids, these are sorted based on their length (i.e. longest axis and shortest axis). The problem is that I want to say the long axes are ...
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22 views

Proper names for data - quantile and rank

Say I have data from a sample of 100 experiments. For a variable, I'm interested in showing the value x with 0.9 probability of non-exceedance, which is equivalent ...
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1answer
218 views

How to compare different rankings/recommendations using an ROC curve?

I have two ranking lists(A & B) and a list C combined from the two lists, I want to use ROC curve to get the contribution of A and B to build C. How does that work? Example, For list A the order ...
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261 views

Theoretical computation Kendall's tau [closed]

While working with rank correlation statistics of samples, specifically Spearman's rho and Kendall's tau, I came across the interesting theoretical interpretation of Kendall's tau. It can be viewed as ...
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59 views

Internal consistency

I have to analyse a dataset in which there are drugs and used animals based on article review. The datasets looks like this: ...
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37 views

Get final rank from ranked list [duplicate]

i got exactly same problem with this question Overall rank from multiple ranked lists but i didnt get any references and answer for that. example : ...
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Is it mathematically correct to re-analyse data as ordinal after having analysed as continuous using the same rank based method (nparLD)?

Please tell me why I'm wrong :) I have a dataset collected in a 2 by 4 repeated measures design, where 2 separate groups of people were tested 4 times on the same task. I have analysed my data with ...
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658 views

Help with the rank-ordered logit model (exploded logit model)

I am hoping for some help with rank-ordered logit models. I get logit models, but Im having trouble when there are multiple levels, and when these are ordered. Moreover, I'm uncertain how to interpret ...
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895 views

Which regression analysis should I use for ranked data?

I have output data from an aggregator website comparing insurance premiums. Each unique input (incl variables such as age, medical screening score, territorial limits, duration, etc) produces an ...
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1answer
3k views

Difference between using a z-score or a percentiles to summarize data in normal and skewed distributions

I have a dataset with multiple variables having different distributions - some are normal and others are skewed. I want to summarize locations for some identified values on both kinds of distributions....
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1answer
62 views

Cars: Price vs Rank

Okay so long story short, I have a list of 184 cars with a bunch of info for each of them in Excel. I want to be able to compare the price of the cars to the rank of them so that I can essentially ...
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What is the logic behind ANOVA on ranks?

I've read a few sources that describe ANOVA on ranks, and I am still confused on how the calculation is done, and why. Specifically: Is ANOVA on ranks just applying a rank transformation to the data ...
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1answer
56 views

Application of Bayesian Averaging for Ranking

I have a sample with two metrics and one ratio per attribute. I am trying to rank the attributes based on the ratio and variable amounts and from my research I have found that most people find ...
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256 views

KS test and independence of data

For A two sample KS test data should be independent. Which of the following has to be true to use the KS test reliably(i.e. what does independent mean) Data should be Independent within each sample ...
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37 views

Ranked Set Sampling

In ranked set sampling, we select $n$ random sets, each of size $n$. Then we choose the largest unit from the 1st set, 2nd largest from the 2nd set, and thus $n$th largest from the $n$th set. This ...
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297 views

Mathematical function that maps a vector to an ordered version of that vector

Given a vector $x \in \mathbb{R}^n$, I would like to refer to a vector $x'$ that contains the components of $x$ ordered in ascending order. I would like to define the function $f(x)$ that maps $x$ to $...
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108 views

How to Analyze Rank Data

Suppose I have 3 columns and n rows. Each row represents a school and the columns represent variables of interest and have ordinal ranks (1,2,3,4....n; 1 being the best and n being the worst). ...
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87 views

R precision in operations [closed]

If you try to calculate the difference between (9.1 - 8.9) - (6.9-6.7) in R, you'll get ...
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1answer
9 views

Correlation of entrance rank to subsequent performance

As part of my M Tech Thesis, I have to find the correlation between the Rank in Engineering Entrance Test and performance in 1st Year Engineering in terms of GPA i.e. Gross Performance Average. Can ...
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50 views

Let $\mathbf{R}^{*}$ be rank vector of a random sample and $V=R_{1}^{*}-R_{N}^{*}$. Then $\mathsf{P}(V=k)= \frac{N-|k|}{N(N-1)}$

Let $Z_{1},\ldots, Z_{N}$ be i.i.d. continuous random variables with rank vector $\mathbf{R}^{*}=(R^{*}_{1},\ldots,R_{N}^{*})$, where $R_{i}^{*}$ denotes the rank of $Z_{i}$ among $Z_{1},\ldots, Z_{N}$...
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Ranking candidates based on their accuracy and efficiency

I have a dataset of 1000 candidates whom I have assessed for a skill. I have calculated accuracy of correct answers of each user as well as efficiency of each user based on number of attempts taken by ...
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2k views

Regression methods for predicting rank

Is there a canonical regression approach for predicting the ranks of a response? I'd like to fit a regression to a dataset where the response is highly non-normal with very large outliers. There are ...
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314 views

What model contains Wilcoxon's rank sum test?

As Frank Harrel mentions in the answer to Logistic regression and Wilcoxon test, Wilcoxon's rank sum test (aka Mann-Whithey test) is contained in the proportional odds logistic regression, which would ...
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Variable Importance's reliability when model accuracy is low

I am trying to predict the termination events for a company. I also want to rank the most important variables that lead to termination. I ran a decision tree model and have the following questions: ...
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865 views

Appropriate statistical method for rank ordered/preference data where response on one variable depends on the other

I have a dataset of six variables that represent respondents' ranking to six different stimuli. Each respondent ranked this stimuli in order of preference from 1 to 6. This means that each row of a ...
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1answer
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Is the rank of $x$ within a set of iid draws from the same distribution uniform? [closed]

I have one realization $x$ drawn from any random distribution. I also have a large set $X$ of other (iid) draws from the very same distribution. Now I'm interested in the distribution of the rank of $...
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968 views

Are parametric tests on rank transformed data equivalent to non-parametric test on raw data?

Many non-parametric tests are identical to their parametric equivalent on ranked data. At least, that's what I learned from this blog post on Friedman's test and skimming this 1981 article.. This ...
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100 views

Can I use proportion data and continous data for estimate of Spearman' s rho ? what if monotonic relatioship does not come out for a dataset ?

I want to use Spearman's rho test on proportional data for one variable and continuous data for the second variable (e.g. % survival of fish related to concentration of arsenic)? Further I want to ...
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73 views

How to compare three groups ranking a set of items?

I have six photos which the test subjects rank according to their preference. So the response per person is six columns, "Rank of photo A" to "Rank of photo F". I am grouping the subjects by religion,...
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158 views

Calculate percentile from ranks

I am trying to come up with a formula to calculate my percentile finish in fantasy sports games while also learning some statistics along the way. Rather than trying to work with the complete list of ...
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1answer
504 views

How can I conduct a non-parametric version of MANCOVA in R?

Is it possible to transform my variables to their ranks and apply MANCOVA to the transformed data, just like how it is done in rank ANCOVA?
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1answer
93 views

Methodology to rank contributors

I have contributors who complete certain no of tasks in a day. I want to rank them. Below is the data. User 1 has been given 1 task and he completed it = 100% completion User 2 has been given 20 ...
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Can rank ordered mixed logit handle varying set sizes?

I have data that consist of numerous trials, where each trial is a ranked set of items. The set of items for each trial is a subset of varying size of all possible items. (I.e. the items are shared ...
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24 views

Inferring values based on rankings

I'm looking to infer items' values from only ranked lists of these items. I'm assuming that each item has some value, for which a higher value makes it more likely to appear first. This value can be ...
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1answer
96 views

Usefulness of Rank Tests

I know that rank tests are useful because we they are more or less performed without distribution assumptions of the unranked data; they are particular cases of permutation tests... But what are the ...
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1answer
133 views

How to rank data in R?

I'll use equality of variance test by Mann-Whitney rank sum test but I can't define order for data ...
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672 views

Difference between samples in terms of frequency ranks

I have 3 different texts, and for each one of them, I have the frequencies of 25 letters appearing in those texts (Text A, letter A, freq = 5013; Text A, letter B, freq = 1462,...). These texts have ...