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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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13 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 ...
45 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 ...
14 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 ...
75 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 ...
41 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, ...
116 views

113 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). ...
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 ...
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 $Z_{1},\ldots, Z_{N}$...
44 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 ...
326 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 ...
91 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: ...