The median tag has no wiki summary.
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Expression for the median of a sum of half-Cauchy random variables
This is a technical problem I encountered in research. Sorry if it reads simple for professional statisticians.
Let $X_1, \cdots, X_n$ be iid standard Cauchy random variables. What estimate or exact ...
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Mean or median as the measure of central tendency for data spanning three orders of magnitude
Here is a data set I am working with.
I basically have a total of 1082 different data segments of $y$ vs. $x$ all plotted here on a log scale in bright blue in the background. Now what I need to do ...
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How does one derive the Fisher-consistency correction factor for Rousseeuw and Croux's $S_n$ (and $Q_n$)?
In "Alternatives to the Median Absolute Deviation" (Rousseeuw and Croux, J. Amer. Statistical Assoc, 88(424), 1993, pp.1273–1283) and a few other papers from the same authors published in ...
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Nonintegral (and not half-integral) median
I was recently looking at the National Survey of Family Growth (US Census Bureau) and noticed that the numbers on the median column were not whole numbers, but rather numbers like 5.1 and 4.6. (Not ...
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Breakdown point of weighted median
I posted the same question on math.stackexchange, but haven't got any reply. So I will try my luck here:
In the context of robust statistics, there is the concept of breakdown point, which basically ...
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129 views
Length weighted median
In the field of genome assemblies in biology (the problem being reconstructing the genome from many, short random pieces of it, where a genome is one or more long strings of a limited alphabet), there ...
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250 views
Mean and median in Zipf's distribution
I have a collection of $10^5$ essays, each of which on average contains $10^3$ distinct words. There are $10^6$ distinct words in the entire collection. If I index every word what is the mean and ...
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Inferring low p values and medians
For my set of data, I have a very low p-value (< 2.2 e-16) and a median of -1. I'm new to statistics and I really am not sure what to make of this data and how to interpret it.
Note: The p-value ...
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264 views
How to report results from Friedman's test including post-hoc results
I have performed comparison of repeated measures for a group using Friedman’s test (K-related-samples test) and additional post-hoc analysis with Wilcoxon signed-rank test and Bonferroni correction. I ...
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42 views
Machine learning Jaakkola different sized data
I have an assignment for a machine learning problem and requires me to to compute $G=\{\|X_i-X_j\| \mid (X_i,Y_i),(X_j,Y_j)\, \text{that belong to training data}\, S\, \text{and} Y_i\neq Y_j\}$. In my ...
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48 views
Distributed Median
What is the most optimum method to calculate the median in a distributed setting? I want to optimize with respect to data transmission i.e. an algorithm that finds the median across data spread across ...
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41 views
Comparing tests for staging cancer
I am comparing 4 different tests for the evaluation/identification of cancer. One is a continuous variable yielding cut-off values based on both the mean and the median of 5 consecutive measurements ...
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64 views
Power Calculations for Median in a Clustered Trial
I'm currently performing power calculations for an NGO wanting to evaluate a sanitation program. They've asked us to look at the distributional effects of their intervention. I know that I can appeal ...
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301 views
Explanation for confidence interval for quantile with small data set
From one of the answers in this post, Confidence interval for median, I have found a way to get a confidence interval for a quantile, and my understanding is that this is an appropriate method for ...
