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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15 views

Local median and local average

I have two pictures representing two laboratory experiments. The idea is that every black band represent one sample. Now I need to use special application to measure the bands intensity, which tell me ...
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1answer
59 views

How to tell which recipe rating is better?

Comparing ratings for recipes I have often wondered is, say, 50 reviews of average 4.5 better than 31 reviews of average 4.8? Orbiting these considerations has been some idea of statistical ...
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45 views

Calculate the average of hourly data of three sensors

I am trying to calculate the average of hourly data of three sensors but the hourly timestamps of all three sensors are different. How is it possible to measure the average of hourly data of all three ...
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0answers
29 views

Averaging z scores when doing a “group by”

I have a dataset where each row is an hourly measurement of certain fields (columns). For each column I then add another column that is its respective z score relative to the entire population. If I ...
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0answers
27 views

How do I measure a speedup?

I have two versions of the same program. I apply a number of performance tests to both and measure their response time, for instance https://gist.github.com/valtih1978/d2cc2fe96fbbe1987ada ...
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1answer
7 views

Appropriate weighting for averages

What is the appropriate (or the advantages of disadvantages for each) measure for weighting mortality rates across countries: total population or total number of deaths? For example, if you have ...
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0answers
10 views

Web page scoring function based on readability (LIX)

I'm creating a scoring system for web pages based on their level of readability using LIX. A selection of pages from a web site are crawled and given a score. Besides average and median, what ...
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28 views

Average of percentile ranks

I have a number of objects (e.g. students) and their scores (possibly transformed into percentile ranks) across various events (e.g. tests). I would like to identify the students who consistently ...
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0answers
26 views

Is one-way ANOVA appropriate for comparing differences in (calendar) monthly means?

I have data for solute export by month (monthly mean values with year aggregated so that n=12), in one-way ANOVA the groups should be independent. A month of high solute export will probably lead to ...
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0answers
28 views

“Average” line over irregular log series data

I have simulation data from 1000 runs, plotting some measurable (in this case convergence of the algorithm) as a function of simulation time. Each run produces a discrete set of points ...
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6answers
867 views

How to detect polarized user opinions (high and low star ratings)

If I have a star rating system where users can express their preference for a product or item, how can I detect statistically if the votes are highly "divided". Meaning, even if the average is 3 out ...
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0answers
19 views

How to calculate the average selling period from inventory list (uneven intervals)?

Will I be able to calculate the average sales time (number of days) for an item, simply from the following 6 data points? Or will I need to repeatedly collect data, such that I for each day (say in ...
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0answers
73 views

Propensity Score Matching – How do the mechanics lead to a different result than unmatched?

The gist of propensity score matching, as I understand it, is as follows: You want to estimate the average treatment effect (ATE) of a treatment on some outcome. However, if you simply calculate the ...
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1answer
32 views

What is a tertile average of a group?

I came across a paper , where they have taken tertile average of a hormone level in a group. I am wondering what difference does calculating tertile average make? Thank You!
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28 views

Robust estimator of mean for skewed data

For heavy-tailed symmetric data, a trimmed mean or other robust estimator of the mean could be a better estimator of the mean than the sample mean. The trimmed mean will be biased for a skewed ...
3
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0answers
43 views

Combining apples and pears to form a single comparator

(I am not a statistician, so this might seem a dumb question, but I need your expert help!) I have data that looks like this: ...
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2answers
97 views

What effect does data averaging have on the variogram?

What effect does data averaging have on the variogram? To be specific, please see a simple example: ...
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1answer
37 views

Moving average for continuous functions

In statistics, the moving average is usually defined for discrete data sets. Is there a moving average concept for continuous randomly fast-oscillating functions? I am seeking for the moving average ...
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0answers
84 views

When is Micro-average Precision = Micro-average Recall

This page describes briefly on micro and macro precision used in computational evaluation: http://rushdishams.blogspot.de/2011/08/micro-and-macro-average-of-precision.html This paper surveys the ...
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57 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
36 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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0answers
34 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
119 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
25 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
124 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 ...
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0answers
62 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
42 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
6 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
21 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
42 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
12 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
25 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
42 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
11 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 ...
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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
73 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
92 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
13 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
139 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
49 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 ...
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0answers
30 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
40 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
50 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
187 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
104 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
25 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
88 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 ...
1
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1answer
347 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
31 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 ...
0
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1answer
39 views

Average of arrival times excluding outliers

I'm working with a dataset of arrival times as below: ...