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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816 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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403 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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550 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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180 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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103 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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144 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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64 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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58 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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105 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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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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561 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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21 views

Testing a hypothesis involving ranks with an unequality in the null hypothesis

Here's a toy example of the problem I'm dealing with I have gene expression data from two patients' multiple tissues ...
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11 views

Creating a combined rank score using variables a, b, c, and d, (each is a score 1-100) for constituents using a platform?

I am tasked with creating an overall score that will be used to represent a supplier's holistic value on our site. For example, consumers of supplier's service will want to find suppliers on our site ...
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21 views

Is Kendall's tau adequate to test for a non-monotonic relationship?

Goal Networks can have so many nodes that it's hard to study them. That is why in some cases nodes are clustered together. I am looking at whether the betweenness of a node is maintained after the ...
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14 views

Computing statistical Significance of Rank Order Question

In my questionnaire, I have a rank order question concerning three different videos. Each respondent must rank each of the videos either on position 1, 2 or 3. All respondents are in the same group (...
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76 views

Why does the formula of Somers' D remove number of Y ties in this formula?

I am researching how to calculate Somers' D in python for a discrete dependent variable and continuous independent variable, I found this answer on stack overflow: https://stackoverflow.com/questions/...
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18 views

Bootstrap for nonlinear regression and ranked explanatory variable

I've been wondering how the bootstrap method works in the case of nonlinear regression models where the order of the x-axis (suppose just 1 explanatory variable) matters. In the case of univariate ...
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17 views

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 ...
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9 views

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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26 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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25 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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50 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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39 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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1answer
283 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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2answers
59 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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1k 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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383 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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19 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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196 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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22 views

can you use a rank as an outcome in a regression?

I have data where people ranked their preferences for products A to J (ten in total), so I have 10 variables now for product A, B, C, ... , which all range from 1 to 10. I'm wondering if it's ok to ...
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18 views

Statistical test on correlation rank lists under multiple conditions

So for some background, I have a dataset where I have generated correlations of a variable of interest to all other variables of interest (~20 other variables, spearman's correlation tests, visual ...
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14 views

Is a partial rank correlation good practice?

Pearson product-moment correlations take the raw data into account while Spearman's rank-order takes the ranks into account. Is it good practice to rank-order one axis and allow the other axis to be ...
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46 views

Find population characteristics from survey proportions

I want to launch surveys on very specific binary questions with low "Yes" answer rate, for example Do you have a Ferrari ?, Did you buy a Chanel bag ? I'm able to do that on at least 20 ...
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8 views

Analysing a product ranking over time: where to start?

Context: I have a ranking (top 10) of products for sequential periods, stretching to 3 years. This gives me a total of about 150 top 10 lists, in which the products are a subset of the total set of ...
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12 views

Determine if a distribution of ranks is significantly skewed towards low values

I have N vectors of varying length. The values are samples of ranks that have been normalized to be between zero and one. I would like to determine the M vectors (M < N), for which the distribution ...
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1answer
26 views

Ranks from a sample written as a function

Can sample rank be defined as a function of a sample? Suppose $X_1, X_2, \dots X_n \sim F$ where $F$ is defined on space $\mathcal{X}$. Consider the order statistics $X_{(1)}, X_{(2)}, \dots, X_{(n)}...
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2answers
34 views

Ranking theory for rainfall station

I have 10 rainfall stations. Each station has a rain day, no-rain day, and NA value, all in percentages. How can I rank these stations based on the condition that the best station is station that ...
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42 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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43 views

What's the name for the [0,1] equivalent of rank or percentile?

I am visualizing some distributions by plotting sorted collections of values, effectively the inverse of a cumulative distribution. The X-axis would thus be the rank. Since the sizes of my ...
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26 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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1answer
32 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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933 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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343 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
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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55 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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126 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,...