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12 votes
4 answers
40k views

Finding outliers without assuming normal distribution

I have small datasets of size 40-50 points. Without assuming that the data is normally distributed I wanted to find out the outliers with 90% confidence at least. I thought boxplot could be a good way ...
Abhi's user avatar
  • 221
6 votes
2 answers
5k views

Outlier removal prior to mixed-effect modelling

I'm analysing reaction time data from a grammaticality judgement task (collected in a masked-priming experiment). The stimulus were noun-noun compounds, including 3 types of compounds (depending on ...
cecile's user avatar
  • 107
4 votes
2 answers
7k views

What is a mathematical way to define a point on a scatter plot as an outlier?

I have a graph and there are two points that could be two potential outliers. I'm trying to create a polynomial line of best fit with undefined order. I believe I could use a >2 standard deviations ...
Chad's user avatar
  • 143
2 votes
2 answers
3k views

Clustering variables with outliers

I am performing a cluster analysis in SAS and some of the variables that I am trying to cluster contain outliers. I've tried to transform the data (log and/or standardize them) but didn't quite work ...
Ken's user avatar
  • 578
11 votes
3 answers
2k views

Good books covering data preprocessing and outlier detection techniques

As the title goes, does anyone know of a good, up to date book that covers data preprocessing in general and especially outlier detection techniques? The book doesn't need to be focusing exclusively ...
10 votes
3 answers
4k views

Support vector regression on skewed/high kurtosis data

I'm using support vector regression to model some fairly skewed data (with high kurtosis). I've tried modeling the data directly but I'm getting erroneous predictions I think mainly due to the ...
tomas's user avatar
  • 1,941
3 votes
2 answers
987 views

How to identify outliers from a Gumbel distribution with known parameters?

I have a model for data in my experiment that states that the data has a Gumbel distribution with known location and scale. I am then looking at observations with very high scores that I suspect to be ...
Andrew's user avatar
  • 1,150
2 votes
0 answers
322 views

Identifying outliers

I have binomial frequency data for an allele associated with populations living in mountainous. These mountains run north to south where sites are nearly fixed for this allele and lowland sites to the ...
Keith Larson's user avatar
5 votes
3 answers
223 views

Good algorithm for processing positional estimates

We (my team) are building a robot which will navigate around an arena. The robot uses a camera to determine its position based on markers on the wall. We have tested this and found it can determine ...
Thomas O's user avatar
21 votes
3 answers
11k views

Crash course in robust mean estimation

I have a bunch (around 1000) of estimates and they are all supposed to be estimates of long-run elasticity. A little more than half of these is estimated using method A and the rest using a method B. ...
Ondrej's user avatar
  • 567
4 votes
5 answers
4k views

Use of robust spread measures such median average deviation and median filters for time series

I have a time series where I need to detect gross anomalies due to coding errors, not small shifts in the structure of the series. I am interested in the most recent data points, not historical data ...
Georgette's user avatar
8 votes
3 answers
5k views

Outliers spotting in time series analysis, should I pre-process data or not?

My question builds on a previous post on outlier detection in generic time series, and specifically on the answer provided by the always great Rob H. I work for a small-sized manufacturing company ...
Bruder's user avatar
  • 729
11 votes
1 answer
3k views

Automatic feature selection for anomaly detection

What is the best way to automatically select features for anomaly detection? I normally treat Anomaly Detection as an algorithm where the features are selected by human experts: what matters is the ...
andreister's user avatar
  • 3,367
7 votes
4 answers
6k views

Detect outliers in mixture of Gaussians

I have a ton of univariate samples ($x_i \in \mathbb{R}^+$). I'd like an automated method to check for outliers and identify the outliers, if any are present. A reasonable model for the distribution ...
D.W.'s user avatar
  • 6,738
5 votes
1 answer
17k views

Handling outliers when comparing two means in a repeated measures design

I am doing a simple study that involved taking a measure at time point 1 and time point 2 (12 weeks later). While the sample was a class, not all members were present at both time points, so I have ...
mary s's user avatar
  • 51
7 votes
3 answers
5k views

Identifying outlier data in high-dimensional settings

I have a data set with high-dimensional feature space. Are there any pre-processing methodologies that can detect outliers from this data set? The outlier, I mean, are the ones that tend to be very ...
bit-question's user avatar
  • 2,827
26 votes
2 answers
7k views

Distribution of an observation-level Mahalanobis distance

If I have a multivariate normal i.i.d. sample $X_1, \ldots, X_n \sim N_p(\mu,\Sigma)$, and define $$d_i^2(b,A) = (X_i - b)' A^{-1} (X_i - b)$$ (which is sort of a Mahalanobis distance [squared] from a ...
StasK's user avatar
  • 32.3k
6 votes
2 answers
3k views

Whether to leave the data unaltered in the face of outliers and non-normality when performing structural equation modelling?

I recently received this email from a graduate student, and I get similar questions often enough, that I thought I'd post it here: I'm using factor analysis, multiple regression, and SEM and ...
Jeromy Anglim's user avatar
0 votes
2 answers
314 views

Fitting a curve to the edge of a distribution

I need to be able to find outliers in my data. I thought it best to test for this using the Kolmogorov-Smirnov Test. I have over 800,000 points so I wanted a way to filter the data first to only ...
xboxrob's user avatar
  • 29
3 votes
1 answer
875 views

How to handle outliers in GARCH model?

In GARCH model how should I handle outliers? Just remove it from my dataset and skip to next data entry?
Benjamin's user avatar
  • 159
3 votes
1 answer
190 views

Find outlier in time domain dataset

We're analyzing a bunch of time domain signals, I want to be able to identify an outlying one. In our results all the signals will either all be reasonably similar, or in some cases, one should be ...
PhilG's user avatar
  • 31
4 votes
1 answer
5k views

How to detect outliers in randomForest regression models?

The randomForest package in R software includes outlier function for the detection of outliers. This function uses proximity matrix or randomForest object for the outlier detection. The manual says ...
JooMing's user avatar
  • 143
7 votes
1 answer
21k views

How to deal with outliers?

Background: There are often some values among sampling set that appear not closely compatible with the rest. They would be called as extreme values or simply outliers. Dealing with outliers has been ...
Developer's user avatar
  • 1,444
10 votes
4 answers
688 views

Can one leave out data from research because it is not significant?

I've encountered this sentence while reading an article on sciencemag.org. In the end, responses from just 7600 researchers in 12 countries were included because the remaining data were not ...
upabove's user avatar
  • 3,177
8 votes
2 answers
8k views

Is it reasonable to delete a large number of outliers from a dataset?

I need some advice on what is a reasonable number of cases to be deleted as outliers. I have applied outlier detection methods to identify univariate and multivariate outliers from my dataset. ...
Ptdstudent's user avatar
8 votes
3 answers
4k views

Is it appropriate to identify and remove outliers because they cause problems?

This all pertains to my Psychology honours thesis. I have two groups (Autism and control) and all participants completed four tasks. It is very important to my study that the groups do not differ on ...
Sarah Brcan's user avatar
23 votes
5 answers
15k views

Whether to delete cases that are flagged as outliers by statistical software when performing multiple regression?

I am performing multiple regression analyses and I am not sure whether outliers in my data should be deleted. The data I am concerned about appear as "circles" on the SPSS boxplots, however there are ...
Anon's user avatar
  • 281
3 votes
1 answer
3k views

Bonferroni for outlier detection?

I am reading a book on time series analysis and I am having problems understanding the section about outlier detection. The authors say that when you want to know whether at a certain time $T$ there ...
frank's user avatar
  • 11.2k
2 votes
1 answer
468 views

Outlier detection in short time series with two seasonalities

I have short daily time series (less than 4 years) representing sales and exhibiting two seasonalities (weekly and yearly) and I am seeking to identify outliers (not only data reporting errors but ...
Jelly's user avatar
  • 21
3 votes
1 answer
122 views

How to assess prevalence of grossly inaccurate data in recorded body weights in medical records?

I have around 5 million observations of weights of patients over the course of a year. Some patients have one measurement during that year and others have 30-40 (or more). I've noticed a great deal ...
Ted Smith's user avatar
0 votes
1 answer
643 views

How to visualize system log data in "phase space"?

First I have to tell my experience in development is extremely thin (a few bash scripts that's all) so bear with me if I can't keep up :) A little background story to begin: A few years ago during ...
Shadok's user avatar
  • 101
5 votes
1 answer
1k views

How to apply Mahalanobis weighted regression in R?

Some research has shown that in linear regression applications the Mahalanobis distance approach can be used to perform regressions that lower the influence of outliers. The idea is that in the ...
Ram Ahluwalia's user avatar
5 votes
1 answer
12k views

At what value of mean and variance should I throw data away?

I have some score values that are output from a program. There are about 10 such values. The data set is a measure of the "quality" of a speech waveform received over a mobile phone and landline ...
Sriram's user avatar
  • 295
10 votes
4 answers
872 views

Online outlier detection

I want to process automatically-segmented microscopy images to detect faulty images and/or faulty segmentations, as a part of a high-throughput imaging pipeline. There's a host of parameters that can ...
kjo's user avatar
  • 1,977
2 votes
2 answers
262 views

Looking for help identifing outliers in a pilot study to guide future hypothesis testing

I am looking to study a particular type of error on a cognitive test to evaluate for potential clinical implications. As there is no existing research on this variable, I would like to run a pilot ...
Patrick's user avatar
  • 21
7 votes
2 answers
3k views

Outlier detection for generic time series

In this case, "generic" being the entire gauntlet of macroeconomic time-series that private and government statistical offices put out. Some background - I recently started working at a data provider ...
Affine's user avatar
  • 2,397
96 votes
6 answers
8k views

Essential data checking tests

In my job role I often work with other people's datasets; non-experts bring me clinical data and I help them summarise it and perform statistical tests. The problem I am having is that the datasets I ...
Chris Beeley's user avatar
  • 5,881
7 votes
2 answers
2k views

Is there an R package with a pretty function that can deal effectively with outliers?

One of the data sets I deal with is quite strange. The datawarehouse I downloaded the data from has a lot 999999999 values in one of the variables. Apparently the computer system on which the ...
xiaodai's user avatar
  • 726
4 votes
1 answer
1k views

Tests for consistent measurements and outliers

I have 3 experiments, where some quantity was measured 3 times. Thus, 3 biological replicas, 3 technical replicas in each biological replica, 9 measurements in total. I need to answer the following ...
Leo's user avatar
  • 2,634
7 votes
5 answers
7k views

Computing average value ignoring outliers

This is more of a general statistics question, though if it matters I'm writing PHP code. Let's say I'm trying to compute the average value of a toy that is commonly bought and sold on the secondary ...
Max's user avatar
  • 173
10 votes
4 answers
5k views

Does the variable order matter in linear regression [duplicate]

I'm investigating interplay between two variables ($x_1$ and $x_2$). There is a great deal of linear correlation between these variables with $r>0.9$. From the nature of the problem I cannot say ...
George's user avatar
  • 101
5 votes
1 answer
7k views

How to get Cook's distance and carry out residual analysis for non-lm() and non-glm() models in R?

I usually use the plot(lm()) or plot(glm()) (combined with par(mfrow=c(2,2)) to analyze ...
MarkDollar's user avatar
  • 6,023
8 votes
1 answer
751 views

Weird residuals in linear regression

I analyze a set of multivariate measurements. It is known that several pairs of independent variables show high linear correlation. The graph below shows a scatterplot of one such pair (X and Y, upper ...
Boris Gorelik's user avatar
15 votes
5 answers
13k views

Automatic threshold determination for anomaly detection

I am working with a time series of anomaly scores (the background is anomaly detection in computer networks). Every minute, I get an anomaly score $x_t \in [0, 5]$ which tells me how "unexpected" or ...
cryptron's user avatar
  • 149
8 votes
1 answer
255 views

Is there a name for the high sensitivity of frequency of extreme data points to the mean of a normal distribution?

I remember hearing an argument that if a certain population of people has a mean IQ of 110 rather than the typical 100, it will have far more people of IQ 150 than a similarly-sized group from the ...
Mark Eichenlaub's user avatar
6 votes
2 answers
511 views

Learning a univariate transform (kernel?) for novelty detection

I have 150 observations, 500 features, and I am interested in novelty detection (outlier detection): given a new observation (let's say 'patient') I want to know if it is different from the previous ...
Gael Varoquaux's user avatar
19 votes
5 answers
2k views

Can data cleaning worsen the results of statistical analysis?

An increase in the number of cases and deaths occurs during epidemics (sudden increase in numbers) due to a virus circulation (like West Nile Virus in USA in 2002) or decreasing resistance of people ...
DrWho's user avatar
  • 949
47 votes
8 answers
11k views

Rigorous definition of an outlier?

People often talk about dealing with outliers in statistics. The thing that bothers me about this is that, as far as I can tell, the definition of an outlier is completely subjective. For example, ...
dsimcha's user avatar
  • 8,879
7 votes
4 answers
3k views

Detecting abnormal points in point cloud

I've asked the same question at Math SE, but the suggestion is that probably this question belongs here. Given a list of point cloud in terms of $(x,y,z)$ how to determine abnormal points? The ...
Graviton's user avatar
  • 1,025
8 votes
3 answers
1k views

How to identify outliers in server uptime performance data?

I have a python script that creates a list of lists of server uptime and performance data, where each sub-list (or 'row') contains a particular cluster's stats. For example, nicely formatted it looks ...
septagram's user avatar
  • 165