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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345 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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178 views

Structural shifts

I am using the R programming language to analyze the cointegration of 5 data sets. I have determined that the series share 3 cointegrating vectors after taking structural shifts into account following ...
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289 views

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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94 views

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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112 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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63 views

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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53 views

Statistical test for changes in ranks

I am investigating changes in rankings of schools. For example, in year $t$ school X may have been in the 17th percentile (poor performer) but in year $t+1$ it may have improved to be in the 94th ...
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104 views

How to analyze ranks as responses?

A client has data where multiple subjects (people) have been presented with with four product alternatives, and after experiencing all four, were asked to rank the products. The data look like this:...
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455 views

ANOVA on ranks?

Once in a statistics class I've seen the suggestion that one non-parametric approach for ANOVA would be to perform the ANOVA analysis on the ranks of the original data (basically as an alternative to ...
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78 views

Patterns in binary data sorted with rank indices

I have a sequence of binary data, each row of which has seemingly random bits and associated with an integer value ("rank"). When we have a binary datum, we always can calculate the rank related to it ...
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532 views

How to compute composite score of rank order variables?

I have several rank order items about the use of languages in different contexts. Specifically, respondents were asked to order three languages from most to least used in situations such as at work, ...
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23 views

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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22 views

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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44 views

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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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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2answers
46 views

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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925 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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26 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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365 views

How to give ranking for two different variables?

I have two variables: one is "Due amount" and another one is "Overdue days". How to rank these variables? Few customers have big amounts but they will delay the payment by a few days only, so there ...
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18 views

Variable selection multiple data types

I'm working on a data set containing 45 predictors that cover metric, ordinal and nominal variables. Aiming to finally build a model, which explains the interacting effect of a set of predictor ...
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163 views

Classification Residual Analysis with rank-based goal

I have a dataset consisting of users, each with a number of items (ranging from 1 to 100). The end-goal is for each user to be able to predict the ranking the of the items according to some other ...
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14 views

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 ...
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7 views

Imagine N samples are rank-ordered in K different ways, is there a method to choose “best” sample?

Imagine a problem where N samples are rank-ordered using K different scoring functions (producing an order for each of the K functions). These scoring functions do not necessarily agree, but one can ...
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15 views

Regression for continuous response and ordinal predictors ranked relative to each other

I would like to predict the value of a continuous response variable $y$ from some predictor variables $x_1, ..., x_n$ which are all ordinal insofar as their numerical values in my observations are ...
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18 views

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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10 views

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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1answer
28 views

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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61 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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767 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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285 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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1answer
139 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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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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1answer
52 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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95 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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465 views

Rank sums in the Kruskal-Wallis output

I use Stata to perform a Kruskal-Wallis test on four groups of data (not normally distributed), and the results are shown below: ...
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1answer
141 views

how to evaluate consistency of rankings for n columns

Suppose I have n columns in a matrix (example below has n= 4). Is there a test I can check that the rankings over columns are ...
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41 views

Is a rank means stat appropriate?

I have attached an image of a subset of data consisting of snow measurements (D1-D6) taken at unique locations (Site1-Site25) over the course of several years. Each measurement was taken at the same ...
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60 views

Creating a model to interpret numerical scores

Good morning/afternoon everyone, first of all thanks to all of you for the valuable insights provided. I will be oulining here my current challenge, trying to provide as much detail as possible. ...