Ranks are obtained when the sorted values in the data are replaced by their ranking.

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Mean and variance of ranks

Consider rank data 1 to n with two groups, n=n1+n2, how would one test the null that the two groups have equal rank distributions using MOMENTS? (Wilcoxon is not the answer) Is MLE possible to do the ...
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10 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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33 views

What is a one-way ANOVA on the ranks of the observations

While reading this link: http://www.statsdirect.com/help/Default.htm#nonparametric_methods/kruskal_wallis.htm, I came across the following: ...
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29 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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21 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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21 views

Relationship between nominal and ranked variables

I am practicing statistics on the gss dataset. I want to study the relationship between people owning guns in the USA and political inclination. Owning guns or not is a nominal variable while ...
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48 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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117 views

Aligned Rank Transform for mixed effects ANOVA in SPSS

In a book, I've found SPSS syntax for performing an aligned rank transformation in a two way ANOVA. The procedure is: - save residuals by performing a standard ANOVA - use Aggregate to determine ...
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13 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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92 views

Which regression analysis should I use for ranked dependent variables and proportional independent variables?

I am analysing the effect of deprivation on breastfeeding and am wondering which type of regression analysis I should use. It is area level data. Deprivation data is available as a score from 0 - ...
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338 views

Why is a Pearson correlation of ranks valid despite normality assumption?

I am currently reading up on assumptions for Pearson correlations. An important assumption for the ensuing t-test seems to be that both variables come from normal distributions; if they don't, then ...
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15 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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51 views

if I have rank=3 in an cointegration process means that _ce1,_ce2,_ce3 have all to be negative and statistical significant?

I need some help. I have never used the cointegration process neven before and I am not used working with econometrics.I have a model with 5 explanatory quarterly variables,52 observations and the ...
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46 views

How do I report my ranked ordinal data?

I passed out a survey to the community and I am unsure how to properly report the data. The question is: "Rate from 1-5: one being the most important and five being the least important. I will attend ...
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35 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. ...
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37 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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1answer
85 views

Spearman's Rho - from partial ranked variables

I have two variables which represent two performance measures. I ranked a finite set of elements according these two variables. Therefore, I have to ranks. Suppose the ranks are performed in ...
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1answer
47 views

How are ranks calculated in tie cases?

I am considering the following question: when there are ties, how are ranks calculated? In some references, they first rank them without repeating the ranks, and then average the ranks of those ties ...
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1answer
138 views

Equivalent to K-S test on discrete data with uneven quantization

I have some data resulting from a simulation that consists of several groups, each containing a single real datapoint and a variable number of matched controls. I take the rank of each real value ...
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1answer
127 views

T-test on ranks vs Mann WHitney U-test equivalence

What does it mean when people say that a T-test performed on ranked data is equivalent to a Mann WHitney U -test? Does that mean they just test the same hypothesis/are useful in the same situations or ...
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2k views

ANOVA on ranks vs. Mann-Whitney U test

What exactly is the difference between performing a t-test on data that has been ranked and performing a Mann-Whitney U test on the unranked data? I keep reading things like: For example, the ...
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536 views

Which statistical tests can be used to compare two paired/related rankings?

To understand my question, can anyone to evaluate if the statistical analysis in the below research (from the 2011 year) was performed correctly? I must to analyze a similar research and I am ...
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350 views

Comparison of ranked lists

Suppose that two groups, comprising $n_1$ and $n_2$ each rank a set of 25 items from most to least important. What are the best ways to compare these rankings? Clearly, it is possible to do 25 ...
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1answer
210 views

Rank data from 1 to N (N may not be equal to number of elements in the dataset)

I calculate percentile ranks based on the method at http://www.psychstat.missouristate.edu/introbook/sbk14m.htm I need to assign ranks to a dataset where ranks are ...
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160 views

Assumptions of Quade Rank-Based ANCOVA

Spelled out in plain English, what are the assumptions of the Quade (1967) rank-based ANCOVA procedure? It's not written very clearly in the paper. For instance, in regular ANCOVA, I believe the ...
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187 views

How to compare ranked data?

I have some questions about how to analyze ranked data. The data looks like this: 4 groups of people with HIV and 16 other groups of people living in the same village were asked to rank 12 ...
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1answer
271 views

Combining and ranking standard deviations

I am trying to take three independent indicators and combine them into a single composite measure. For discussion, let's say that this is a composite measure for 'economic performance', and that the ...
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82 views

best approach to compare ranks over time

If I have the following dataset: ...
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166 views

How to rank film production companies based on weighted ranks?

IMDB uses a Bayesian estimate to compute its top 250 films. Let's say I know all the variables needed to compute this Bayesian estimate for these films. I also have the production company associated ...
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477 views

Percentile Ranks in Matlab

I have 2 vectors of raw values. I need to do a percentile rank correlation and an ordinal rank correlation between them in Matlab. ...
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158 views

How to predict the probability of a performance rank for a test taker on a future test based on previous test scores?

Four students sit a series of tests, each test contains 10 questions. Students are ranked 1-4 in each test depending upon who got the most questions correct. ...
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153 views

Wilcoxon signed rank statistic

It seems there are two formulas to perform a wilcoxon signed rank test - one where the sum of all the signed ranks is w and another where the minimum of the sum of the negative ranks and positive ...
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213 views

Plot precision recall using a vector of ranks

I have developed a predictor which scores a datapoint, $x$ on how likely it is to belong to a particular class, $C$. The higher the score the more likely it is that the datapoint belongs to the class. ...
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119 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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2answers
2k views

Regression for rank order dependent variable

I am looking for a package to analyze rank-order data in the form of regression. My outcome (dependent) variable is a rank ordering in the sense that the respondents to a questionnaire were asked a ...
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66 views

What is the best way to treat popularity for ranking?

I have items for purchase and I have statistics how much each were purchased. I want to use this amount for ranking them. The simple guess is to ...
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351 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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1k views

Rank transformed 2-way ANOVA

I know I'm asking a lot of questions these days! Sorry about that, but I'm trying to work through my grad thesis data collected over the last 4 years, and am repeatedly tripping on my beginner's grasp ...
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Why is the Mann–Whitney U test significant when the medians are equal?

I've received a results from a Mann-Whitney rank test that I don't understand. The median of the 2 populations is identical (6.9). The uppper and lower quantiles of each population are: 6.64 & ...
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2answers
2k views

What correlation coefficient and graph is appropriate with this data?

I'm not in Statistics field. I conducted the case study and collected the data as shown below I have data as shown in the table below: I would like to find correlation coefficient from this two ...
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984 views

Compare rank orders of population members across different variables

I have some data which describe residential units for people with learning disability, variables like how nice the furnishings are, the level of psychiatric symptomology on the unit, how happy the ...