# 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])

100 questions
Filter by
Sorted by
Tagged with
15 views

### Perform signed rank test where there are duplicates in data?

How do you perform a rank test when there are duplicates in the data? that is, we have a dataset with numbers $1,1,1,1,3,3,3,3,4,4,4,4.$ and another dataset also with duplicates.... Is the sum of ...
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 ...
33 views

### 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 ...
25 views

...
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 ...
16 views

### Regression with ranked and truncated dependent variable

I'm struggling to find a model that will best fit this data. The dependent variable is the ranking of a observation based on how many votes it received based of a list of choices (number of votes is ...
67 views

### Rank-ordered logit model: question

I have a dataset in which each individual ranks four attributes of a product. This task (with the same attributes) is repeated three times under different conditions. The product is still the same, so ...
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 ...
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 ...
87 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 ...
81 views

### 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 ...
20 views

### 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 ...
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 ...
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 ...
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, ...
118 views

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). ...
94 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 ...
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 ...
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 $Z_{1},\ldots, Z_{N}$...
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 ...
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 ...
346 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 ...
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: ...
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 ...
42 views

### 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 \$...
1k 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 ...
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 ...
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,...
169 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 ...
571 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?