Average most often refers to the arithmetic mean, but more generally to measures of central tendency that use most, or all, of the data values. Examples include trimmed mean, Winsorized mean, harmonic mean and geometric mean.

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24 views

Remove outliers and calculate average

I am trying to understand (by reverse engineer) the method a program is using to calculate an average value over a population. The program displays a (very very large) image consisting of tiles. Each ...
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1answer
26 views

Standard deviation of a sample when you know the average

I'm coding an app, a part of which is graphing values from a database. The graph plots the average value of every 10% of the values up to 100% so there are ten points along the x-axis. The graph ...
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25 views

Can mean values be seen as a form of PCA with a LOT of assumptions?

This question just occurred to me out of the blue. PCA is a way to reduce dimensions. Another way that is often (perhaps too often) used is to take mean values of two or more variables. This is done a ...
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4answers
111 views

Plotting averages when there are missing values

I have count data for a number of subjects in different groups I would like to compare. The averages of the cumulative sums are shown in the figure below. As you can see the Red group has a spike at ...
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1answer
17 views

Different group size average comparisons

I have 3800 stocks for which I calculate their return correlations. So I end up with a 3800 by 3800 matrix. Each stocks is related in some way to all the other 3799 stocks. For each stock, I create ...
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0answers
61 views

Average variable by another variable in R [migrated]

This may be a naive question but I am running a regression of a variable on a set of other variables. But each country has several observations and the original regression has a pooled sample. Now I ...
2
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0answers
94 views

Comparing Averages of Pearson Correlation Coefficients for Significance

How can I test if two averages of Pearson's correlation coefficients are significantly different? For instance, I have data pertaining to participants' estimates of certain percentages (e.g. how many ...
2
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0answers
42 views

Calculating standard deviation after spatially and temporally averaging data

I have a spatio-temporal data set with (n,m) spatial and k temporal dimensions. My initial analysis consisted of spatially averaging the data and looking at the time dependent behavior. This resulted ...
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1answer
35 views

How to calculate average of a group when you know overall average, average of other group, and sample sizes per group?

I know the average of a group that consists of two subgroups. the number in the two subgroups the total the average of one of the subgroups. How can I work out the average of the other ...
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0answers
5 views

Determining the quality of low-pass filter estimate

I'm taking a low-pass filter, specifically an exponential moving average, of samples coming in every second. Those samples are of electric field strength, and suffer sizable noise. How can I ...
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0answers
18 views

Covariances between forecasts from different time-series models

I'm trying to compute the variance of an average of forecasts. But I'm not sure on how to get the covariances required to compute the variances. Here is the situation: Three ARMA(p,q) models for a ...
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0answers
31 views

Combining forecast from ARMA models

I have three ARMA(p,q) models for the variable X and using each model I produce forecasts for 12 months ahead. Note that in all three models the residual is normally distributed. Now if I want to ...
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0answers
10 views

Number of occurrences gives higher weights

I have this algorithm that I'm implementing that I need to change to give it a better accuracy. To give you an idea of the problem, I have a a bunch of lists that contain items and all items in these ...
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0answers
20 views

Sports winning percentage distribution

I am doing a study where I am measuring parity in sports. To do this I am looking at how well a year's winning percentages (WP) are distributed. I am currently comparing them to a binomial ...
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1answer
34 views

Variance of average of Bernoulli variables

What is the variance of the average of n Bernoulli distributed random variables Ber(p)? So Var(sum(xi)/N)
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0answers
10 views

What is the most appropriate way to combine three NTP server results?

I need to query an internet time server, in order to assess the staleness of streamed data I am receiving on another channel. I periodically make 3 successive queries, then use the combined error to ...
0
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1answer
31 views

How to fix weight in bayesan average

I am reading the article of wikipedia about bayesian average. This seems very interesting about on developing rating systems, but I have a doubt. How to fix the weight C of the average?
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2answers
60 views

Which measures of statistical dispersion should be used to estimate dispersion of slope of a trendline

Although I know how to calculate many of the statistical values, I have some difficulties understanding which one should I use in a specific situation. Here is my example: In my experiment I tried to ...
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1answer
54 views

Weighted average of measurements with unequal errors

Suppose I have the numbers below. Consider them as results of some measurement. ...
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0answers
12 views

Popularity and Difficulty score calculations within groups and sub groups

I have an examination application that carries questions of various difficult groups: a) Basic b) Standard c) Advanced Based on data generated by users taking these questions I am trying to create ...
2
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1answer
56 views

Standard deviations and confidence intervals (weighted) running average

My question is related to this one. I am calculating averages, actually as many as I have samples because I calculate a running average, and for equal weighting I know how to calculate the $95\%$ CI, ...
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1answer
45 views

Can a moving average value result be higher than the highest constituent value on which the moving average is based?

Can a moving average value result be higher than the highest constituent value on which the moving average is based? I realize that somewhere here there maybe an answer, but I have been unable to ...
0
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0answers
24 views

Using IQR to find Mean without outliers

I am trying to figure out a away to calculate the average a set of data in the most robust way that I can, while staying accurate (this has to do with billing software). For example, let's say I ...
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1answer
34 views

How to apply Laplace rule of succession for any possible value in a range?

I am looking to have People rate certain items on a scale of 0-10 based on those items perceived utility to the particular Person performing the rating. Fractional values are permitted. Giving no ...
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2answers
47 views

How to average ordinal items across time

We have 1 pre-stress measurement point (t1), then a severe stressor, and after many months, 3 consecutive measurement points (t2 t3 t4) that are very close together. We cannot really handle these as ...
2
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1answer
171 views

How can I check if two numbers are equal (with some allowed error)?

I have a lot (about 10000 or more) measurement results. I measured the performance of different algorithms (it doesnt really matter which algorithms for now on). I want to check if my measurement ...
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2answers
80 views

average length of stay in hospital calculation

I need to calculate the average LOS (Length Of Stay) over 15 years. My formula is the following: ...
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0answers
23 views

Comparing groups with multiple related variables

I have four groups with six subjects in each group. For each subject I have measured their mean blood pressure every minute for 3 hours. This means that I have 180 variables. The first 60 minutes ...
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1answer
58 views

Is median better than mean for reporting on website speed

Whilst I understand why median can be a better metric than mean in certain circumstances (e.g. you're creating/marketing a ...
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1answer
125 views

Simple Average Method, calculating moving average and moving variance, how can I say if stationary or not?

Lets say I have a sample data (here is just 10 numbers, in real I have about 10000 measurement results). Then, I want to check if the data is stationary or not using Simple Average Method. For ...
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1answer
28 views

Approximate function observed through noise

I have a function $f : [a,b] \rightarrow \mathbb{R}$ that I can observe through some noise, i.e. I can only directly measure $f(x) + \eta$ where $\eta$ is some random noise with mean 0. I have a ...
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1answer
35 views

Average of arrival times excluding outliers

I'm working with a dataset of arrival times as below: ...
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0answers
165 views

(non) linear regression on graphs with multiple y per x values

I have a data set with multiple y values per x value. Using Excel the scatter plot and the regression line tools, I wish to apply regression on the data to determine if there is any connection between ...
0
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0answers
43 views

Variance of average of averages

You have sampled 1000 men and 1000 women. The men respond "yes" with observed probability $p_1=.642$, women $p_2 = .591$. You may compute the difference, $p_1-p_2 = .051$. The variance of this ...
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0answers
494 views

Calculating precision-recall curve from error matrix in MATLAB

How is a precision-recall curve calculated from an error matrix and vector of labels? The error matrix is of size NxN, and contains distances between the features associated with the respective row ...
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0answers
17 views

Calculate scores for users with varying activity

I have a web application which allows users to take questions. Ultimately I store the following data: 1) Questions attempted by each user 2) Questions correct by each user 3) Avg. Time per user for ...
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2answers
66 views

Comparison of average values of data sets

I am working with two data sets of unequal sample sizes of 998 and 857. Average of first (998 samples), come out to be higher than the other dataset. To my surprise, when I split my complete data into ...
2
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0answers
30 views

Given $n$ ratings from 0 to 1, how to calculate a weighted “average” estimating the “true” rating?

I've read How Not to Sort By Average Rating regarding how to average binary positive/negative ratings in a way that takes the number of ratings into account. The author uses the "lower bound of Wilson ...
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0answers
41 views

Averaging correlation matrices among subjects

Suppose I have N correlation coefficient matrices, containing the Pearson correlation coefficients of k different time series of ...
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0answers
20 views

Failure analysis on server

If you could review and share any insights/guidance you may have to share, i would sincerely appreciate it!!!!! Dataset Server id---------Repair id---------Repair Type---------Date of repair ...
2
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1answer
84 views

How to average variables having given standard deviations

I'm a physicist who has some issues in data treatment, so sorry if I get the maths wrong. I have some diffractograms, which are displayed as counts vs. angle. The points have standard deviations ...
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3answers
70 views

How would one calculate a geographic estimate from a dataset of people?

Given you had a large dataset of people with a name and country. How would you calculate an estimate of the origin country from one of the names? If i looked up a name, Kim and just averaged the rows ...
5
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0answers
171 views

Which normalization method for different units (zero, negative, etc.)

Commonly, normalization of ratings seems to mean adjusting values measured on different scales to a notionally common scale. I have different metrics that measure different performance aspects of a ...
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1answer
47 views

Calculate the arithmetic average and standard deviation of a survey response [duplicate]

If I have a market research with population of 100 individuals: 10 spend less than 10 dollars in clothing 20 spend between 10 - 20 dollars in clothing 30 spend between 20 - 100 dollars in ...
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0answers
13 views

Aggregating central tendencies from hourly samples

I have a stream of data that is collected and hourly a summary of count, arithmetic mean, mode, median and quartiles are calculated and the original data thrown away. I also want to calculate a ...
0
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0answers
28 views

standard deviation problem [duplicate]

The question is : You have found the following ages (in years) of 6 bears. Those bears were randomly selected from the 28 bears at your local zoo: 46,1,20,16,12,2 Based on your ...
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0answers
89 views

Explaining the difference between baseline data and subsequent experiment data if 1.00 is baseline

I have what I guess is a simple question really and it's probably as much about the English language as about stats. I should explain that this isn't my strong point at all but I have to write up ...
6
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2answers
207 views

Extract data points from moving average?

Is it possible to extract data points from moving average data? In other words, if a set of data only has simple moving averages of the previous 30 points, is it possible to extract the original data ...
1
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3answers
75 views

Which equation will give me meaningful insight?

I have 10 iPads. I am logging the number of times an app is crashing each day for each of these iPads. The number of crashes tends to be skewed towards just a couple of the devices such that taking an ...
2
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0answers
166 views

Model averaging - models with different covariates

I have run models using negative binomial glm.nb() in R and have 3 top models with really close AIC (<2). I was thinking about doing a model averaging using ...