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.

learn more… | top users | synonyms

0
votes
0answers
33 views

Average Ratio vs Linear Regression Analysis

Let's say I have a data set with $n$ corresponding data points each for two variables $\alpha$ and $\beta$. So, I have a total of $2n$ data points. In order to find the average ratio $\frac{\alpha}{\...
3
votes
2answers
40 views

Can I use a paired t-test on data that are averages?

I am comparing 15 pairs of averages paired by two categories with a paired t test. The samples used to determine the averages in each pair are not equal within any single pair of data. For example, if ...
0
votes
1answer
19 views

Average of Average Quantities and Their Associated Error

consider the measurements: $x_1, x_2,x_3$. Each is the average value of some sample $x_{s1}$ of the physical quantity $x$ that is measured on a nodal point $i$. $x_1 = \frac{1}{N_1} \sum_{i=1}^{N_1}...
0
votes
0answers
15 views

Arithmetic vs Geometric mean for absolute error of a rate [duplicate]

What is the most appropriate average to use if I want to compute the average of the absolute error of a rate? Example: This sounds a bit complicated, so let me break it down. Suppose I have a box ...
0
votes
1answer
45 views

Spearman Correlation from 'two-ways' [closed]

I have two data sets where I am comparing where an object in the first data set, ranks in the second data set and vice versa. This leads to the assumption that the data set being compared against is ...
0
votes
0answers
21 views

What do attendance figures tell me about regularity? What does the average tell me about individual attendance?

Suppose I have a group of $N$ people, attending a series of $M$ events, and (for simplicity) let's assume the overall attendance happens to be the same at each event, say $A$ people (ranging between 1 ...
1
vote
1answer
49 views

Proper way of averaging histograms

How does one go about averaging multiple histograms of a quantity $x,$ if the individual histograms do not have the same range, that is, $R_i=\text{max}(x_i)-\text{min}(x_i)$ will be different for two ...
0
votes
1answer
43 views

Averaging correlation coefficients

I am calculating Spearman correlations multiple times between individual data vectors that are not necessarily of the same length. So for example, ...
0
votes
0answers
24 views

How to cancel out the effect of a voter voting again?

I couldn't come up with a better title but here is the problem I have: in a voting system members are allowed to rank a subject as many as they want. The final rank will be calculate based on the ...
2
votes
0answers
65 views

Poisson Modeling ANOVA

I'm looking to model percent change in transaction year over year for sales people grouped in certain categories (7 categories total). The percent change in transactions would be Q1 of the current ...
0
votes
0answers
5 views

Weighted mean / average where you reward the lowest value / cost / distance

Best I've several weather-station (200), placed across the country (508 municipalities). Now, I would like to prescribe the weather info, e.g. temperature, to each of the municipalities of that ...
0
votes
0answers
8 views

Combining the results of 4 fits performed on 4 different dataset

I have 4 dataset which are independent measurement of the same physical quantity. I have fitted each dataset with a certain model, as a result of the fit I estimated one parameter with its uncertaity (...
0
votes
0answers
23 views

how to average standard deviations of independent groups

I have means and standard deviations on a given variable, $X$, for six independent samples of unequal sample sizes: Group 1: $SD = 0.96 , n = 290$ Group 2: $SD = 1.082, n = 250$ Group 3: $SD = 0.70, ...
0
votes
0answers
4 views

Analysis to show averages for more each year of exposure to a treatment does not shift the averages toward an expected average

I apologize if there is appropriate terminology I should be using in my description that I do not know. Hopefully the way I've made my question generic for the sake of preserving the integrity of my ...
3
votes
2answers
62 views

Which PDF of X leads to a Gumbel distribution of the finite-size average of X?

Consider the statistic "average of $N$ idd random variables $X_i$", $$S_N = \frac{1}{N} \sum_{i=1}^N X_i$$ Consider also that, by a numerical experiment, it is observed that the distribution of $...
2
votes
1answer
32 views

How to get a mean from multiple categorical fields

I have some census data on income I would love to analyze. But income, in the data, is split into different income groups, each group is a column containing the number of people in an area that earns ...
1
vote
0answers
9 views

Calculate sentiment and compare it to other variables

Everyday I receive a data of three variables (neutral, negative and positive). ...
5
votes
2answers
182 views

Simple example of how “Bayesian Model Averaging” actually works

I'm trying to follow this tutorial on Bayesian Model Averaging by putting it in context of machine-learning and the notations that it generally uses (i.e.): ...
0
votes
0answers
10 views

Average timeseries with regards to information

I am defining the distance between timeseries using a compression based metric (CDM) https://blog.acolyer.org/2016/05/10/towards-parameter-free-data-mining/. In that context, do you guys have any idea ...
0
votes
0answers
6 views

CFA indicators - means across raters

I have a CFA model that has six items, each rated by 2 raters (no rater ids). The models with residuals across raters or items was nonidentified, and the second order model was non identified. The ...
0
votes
2answers
48 views

Estimating classifier performance using cross validation, average accuracy and standard deviation and

I want to estimate a classifier accuracy on benchmark data. Data is not split into training and testing so I use 5-fold cross validation, using 80% of data as training and testing on 20%. Each test is ...
1
vote
0answers
15 views

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 ...
0
votes
0answers
17 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 ...
1
vote
1answer
87 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 ...
0
votes
0answers
32 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 ...
2
votes
1answer
155 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 ...
0
votes
0answers
21 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 ...
0
votes
1answer
17 views

Calculating average of averages in absence of complete data

I have a dataset with three variables: ...
0
votes
0answers
27 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 ...
1
vote
1answer
40 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 ...
0
votes
1answer
43 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 ...
0
votes
0answers
15 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: ...
0
votes
0answers
16 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 ...
2
votes
0answers
74 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?
0
votes
1answer
25 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 + ...
0
votes
0answers
19 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 ...
0
votes
0answers
8 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: ...
3
votes
2answers
119 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 ...
0
votes
1answer
18 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 ...
0
votes
0answers
29 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 ...
0
votes
1answer
10 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 ...
0
votes
0answers
17 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 ...
0
votes
1answer
25 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: ...
4
votes
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 ...
0
votes
1answer
47 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 E....
1
vote
1answer
82 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 ...
0
votes
1answer
27 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 ...
1
vote
1answer
44 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 ...
0
votes
0answers
115 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 ...
0
votes
1answer
41 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 ...