A weighted mean (or weighted average) is like an ordinary mean, but the observations don't contribute equally - more emphasis is placed on some data values than others; they are weighted by a bigger or smaller amount than 1/n.

learn more… | top users | synonyms

2
votes
0answers
34 views

How to symmetrically adjust data by removing certain value

Say I have a data set in the following format: {a:200, b: 100; c:400} The sum of a, b and c equals 700. Now, I have another value which is supposed to be the actual total say 500. How do I adjust ...
2
votes
2answers
577 views

Weighted mean of two 2D Gaussian random variables

I have two 2D Gaussian random variables. I'd like to find the weighted average of the two (based on their covariance matrix around the mean, meaning that the mean of the final Gaussian should be ...
0
votes
0answers
85 views

Weighting datapoints by uncertainty - asymmetric CIs

I have several estimates obtained using different softwares, these programs give me an estimate as well as a 95% confidence interval. However, these CIs are not symmetric around my point estimates, ...
7
votes
1answer
240 views

Averages of averages (of averages, of averages…)

Consider the following cell biology experiment. We are comparing $T$ different treatments of cultured cells. Each treatment $t$ is replicated in several (microtiter) wells, indexed by the variable ...
9
votes
1answer
409 views

Determining true mean from noisy observations

I have a large set of data points of the form (mean, stdev). I wish to reduce this to a single (better) mean, and a (hopefully) smaller standard deviation. Clearly I could simply compute $\frac{\sum ...
3
votes
1answer
185 views

How do I introduce features and their confidence values into classifiers

I would appreciate some advice on how best to weight or give more importance to a percentage with a larger denominator. Eg A. 1 out of 2 = 50% B. 5 out of 10 = 50% C. 500 out of 1000 = 50% Some of ...
6
votes
2answers
20k views

How do I calculate a weighted standard deviation? In Excel?

So, I have a data set of percentages like so: ...