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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Average treatment effect on the treated

There is something conceptual I don't understand with average treatment effect on the treated. Say you have two binary outcomes $Y_i(W_i)$ in which $W_i$ is either 0 or 1 (treatment). So I either ...
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14 views

Trying to calculate industry averages for female employees

I have a dataset that lists employers in a particular industry, the number of employees they have and the breakdown of employees as male or female. I'm trying to get a number that reveals something ...
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69 views

How do I test if the average difference between two groups are statistically significant?

Suppose I conduct a survey of 1000 males and 1000 females about their age and I found that the average male age is 50 while the average female age is 40. What information do I need and how do I test ...
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19 views

How to report standard deviation while averaging a dataset multiple times?

This question appears simple but it may not be. I have a year long, 1 degree, daily, 3-d global climate data set (temperature) representing different latitude, longitude, and days. That means the data ...
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1answer
41 views

Weighted average vs “unweighted” average in probability

[UPDATE] Terms I used: - Weighted average: weighted arithmetic mean - "Unweighted" average: arithmetic mean I went through some of the forums here and looked for explanations online but I couldn't ...
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17 views

Is weighted average the right method for this business problem?

I have 5 customers who order 10 products. Come April 1, 2016, the prices of all 10 products are increasing. The 5 customer each order all the 10 product types. I have the following: 1. Individual ...
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1answer
13 views

Calculating average of averages in absence of complete data

I have a dataset with three variables: ...
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26 views

Calculating the Title odds

Given a set of expected values within an event. How do you calculate the probability of each of them occuring the most? i.e. Who will win the league? total goals scored in a season , given expected ...
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1answer
37 views

How do you cross validate a regression model with a variable derived from historic information

I have a logistic regression model for conversion rate after sending a customer a voucher. The dataset consists of all previous occasions where customers were sent a voucher, with the response whether ...
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42 views

comparing averages of different sized groups

I want to look at the number of arrests per head of population in some counties. What I am doing is taking the census for each period and using 10 year periods (so dividing by 10). For 1810-19 I ...
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14 views

Determine contribution percentage

I'm trying to determine the individual category percentages once their weights have been applied. The easiest way to describe what I'm asking is to show my workings: ...
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13 views

Calculating mean and maximum with open ended bins

I am using excel and I need to work out the average lives of machinery as well as the maximum life. However all I have is the number of machines over ten years and the number of machines under 10 ...
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45 views

Types of Mean in statistics

Can anyone explain trimmed mean, interquartile mean and trimean with examples? And also explain what is the use of this and where we use in real life?
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18 views

Calculate Forecast Error: Different ways using the mean?

Example: I've got an forecast with 2000 values. Let's say they are for one year. I can group my values into months. Every month can include a different number of single values. (JAN with 200 values + ...
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18 views

How to compare 2 averages, when their sums are different

I am stuck at tring to find a convincing anwer to this question. Suppose I go a Shop A and Shop B to purchase Apples and Bananas / / Now If I calculate average Cost per Product in SHOP A = (10*10 ...
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5 views

Product Matching: Calculating average score for data-points with penalty for outliers

I'm working on a product matching feature that works on datasets like the one below: ...
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2answers
88 views

Average curve from set of curves

I have done some initial analyses on some patient datasets regarding neuro-degenerative diseases. A method I've used is DFA (Detrended Fluctuation Analysis) in MATLAB, which produced a family of ...
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1answer
17 views

How to properly calculate average need-based aid met by an institution?

As an institution we give out a certain amount of financial aid every year (need-based aid) to each student. This need-based aid does not always meet the students estimated need. My task is to compare ...
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28 views

Average waiting time in an exponential distribution

I have come across the following problem in one of my courses: Let's suppose a patient in a hospital is waiting to be picked by one of the two doctors available. The time till a new pacient arrives ...
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1answer
9 views

Average value when it is not included in the support

There are a few ways I think of averages of a (discrete) random variable: Average is an OLS estimate of running a regression of the random variable on a constant term. In that sense, it is a value ...
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11 views

How to decide about the number of looks (window size for ensemble averaging) in SAR images?

This question has frustrated me for a while. In order to find an answer I sent an email to prof. Yamaguchi, the author of the paper Four-Component Scattering Power Decomposition With Rotation of ...
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1answer
24 views

Method For Calculating Performance from Average Scores

In a simplification of my problem, let's assume we have players who can get an integer value score $s$ considering $\{ s \in \mathbb{N} : 0 \leq s \leq 3 \}$. Same sample data for scores: Player A: ...
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1answer
26 views

How do I compute an average when one of the measurements couldn't be measured?

In my biology class we were doing a lab on respiration rates of peas. We used a respirometer with a small pipet tube (markings up to 1 mL) to measure the volume of gas; by immersing in water, the gas ...
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36 views

Why 'Assumption of Uniformity' for Mean?

I am teaching some very basic statistics for grouped data. In a different class a few years ago I made an 'assumption of uniformity' about the data: within bins, data is uniformly distributed ...
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1answer
53 views

SVM classifier - can I average multiple models?

I'm performing SVM classification on a relatively large data set (~1M rows, 4 variables). I want to assign a classification score to each row, not evaluate input parameters, so following the top ...
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1answer
25 views

Estimate group averages

If I have 100 numbers from two separate groups $X$ and $Y$. How can I manually estimate or derive an algorithm to automatically estimate $AVG(X)$ and $AVG(Y)$? I know all the numbers, but I don't ...
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38 views

Should I exclude an individual being evaluated from group average?

I am working on some statistics of work related performances. Now at first I did my code to calculate the performance of a single individual and compared it to the average of a group in which the ...
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78 views

Recommendation System in Python - weighted average with negative factors

I am building a recommendation system in python on the 100k movielens dataset. My code build a movie/user matrix where the (x,y) element is the rate that the user y gave to the movie x. Since i want ...
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1answer
27 views

determine the mean cost per unit

I have N orders. Each order consist of x units and I know the total cost of each order. If I would like to determine the mean cost per unit do I use approach 1 or 2 listed as follows: (1) Determine ...
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46 views

Does Average have Units

I know that the average of a discrete random variable X can be estimated as:$$\widehat{E[X]}=\frac{1}{N}\sum_{i}x_{i}$$ where $i$ are the units we are averaging over. In practice, we just call ...
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27 views

Average many logistic regression results?

I have performed logistic regressions on several similar data sets (same type of data, different locations). I have 9 different observation types, 11 predictors, and 8 data sets (~3000 data each). I ...
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1answer
29 views

Calculate 3-year average on survey results

Statistics is not a normal part of my job. I've been given survey data from three years. Survey data includes a number of categories the respondents are split into. There is a set of five possible ...
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12 views

Trouble understanding equations with a mix of variances, expected values and means

Let's assume we don't know the real value $\mu$ of the average of a of random variable $x$. We can find an estimator for the variance using the Bessel correction: $$\widehat{V(x)} = ...
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22 views

Estimating actual score from small sample when population known

My inclination here is that there's no statistically sounds way of doing this, but I want to verify this. Suppose you have a population P, and you are measuring test scores across the population such ...
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1answer
45 views

Probability that the average is within range

I'm currently preparing for an exam, and I just can't seem to grasp how to go about the question given the following information: Information: A brick factory produce bricks whose length $X_i$ can be ...
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1answer
45 views

Bounding “an average”?

I'm doing a practice problem that is about processing orders. The assumptions are: "On average 40 orders are received" "50 orders per day can be processed" The task is to formulate notions about ...
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2answers
53 views

Handling null values when taking averages

I am currently working with a universe of 100 companies and interested in how they compare on certain metrics. Some companies do not report all metrics that I am interested in so I am reporting them ...
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14 views

Any algorithm for knn average?

I have a set of 10 features in a dataset corresponding to member purchase behaviour. I want to use knn to determine nearest neighbours for each member from test dataset on the train dataset based on ...
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19 views

A revision to a question I asked yesterday but got no response to on calculating average tenure

Here’s my question and it’s going to be pretty long winded. My company works in the online space and we sell subscriptions. We’ve been selling subscriptions since like 2011. My boss wants me to ...
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37 views

Understanding how standard deviation effects overall life when two variables are used

What is the total number of wheel lives of a railway car based on the following maintenance details? Every time an railway car comes in for servicing the wheels are brought through a lathe to have ...
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1answer
61 views

What is average tree size?

Suppose that you generate a sequence which stops with prob q at every step or proceeds with prob p. That is you will get bernulli sequence 0 or 10 or 110 or 11...10 with corresponding lengths 1, 2, 3, ...
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10 views

Recommendations based on Averages

I have a website where people can rate objects. Each objects has a number of properties. Objects do not all have the same number of properties, it could have anywhere from 1 or greater. All the ...
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34 views

Relative Variable Importance with Model Averaging

I am doing occupancy analysis for mammals using data derived from camera traps. I've fit the model using Rmark, dredged for the p covariates by fixing psi covariates, then performed model averaging to ...
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1answer
52 views

Is this equation a mean value?

I met the following equation. $b=\frac{\sum_{i=1}^{N}x_i^2 }{\sum_{i=1}^{N}x_i }$, $0<x_i<1$ $x_i$ are probabilities. Is it a kind of mean value? It seems that it is used as a mean value ...
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39 views

Standard Deviation of Averages

Any help would be much appreciated: My data is grouped into 42 categories according to classification of bird catch. Each group contains "X" amount of species, but for ease of input we categorize ...
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26 views

Chi-square on average of counts

My data includes one set of field-observer data, which I want to compare with 8 camera-based observation data sets. The cameras are at two points (Point1 and Point2), two models (R and B), and two ...
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17 views

How to average data with confidence intervals from nonlinear fitting?

I have a set of Planck emission (Temperature-dependent emission) at different powers, which I fit to determine Temperature. I want to use this data set to produce a Temperature vs Power graph. Thus, ...
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17 views

Can I take average value for variables in same category?

I would like to find if there exists theoretical background for taking average of variables. I have variables in the category of information. All of variables are scaled with 5 points, survey ...
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23 views

How to analyze price of air travel per mile distance

I'm trying to find the average price/mile for air travel. I found in an article that the average price is £35 + 7p or something and I wanted to know where that come from. I also wanted to ultimately ...
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2answers
29 views

Visualization of Twitter activity over a time

I have tweet counts for a bunch of topics by day, by week and by month. Now I want to visualize them using bar charts. Is it a good practice to visualize the exact counts or shall I take weekly ...