Mathematics Stack Exchange
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Questions tagged [statistics]

Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory and other branches of mathematics such as linear algebra and analysis.

Statistics is the science of the collection, organization, and interpretation of data. It deals with many aspects of data, which includes the planning of data collection in terms of the design of surveys and experiments. (From Wikipedia)

More specifically, mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and mathematical analysis. (From Wikipedia)

For questions which are more generally about collecting and treating data, it is advised that you post your question on Cross Validated and DSSE.

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How can you calculate the accuracy rate of the following set of statements?

If we can say that we're able to determine the weather at 10ms intervals, and if we observe that over a whole second (1000 samples) that it's raining at every sample, what is the accuracy rate within which we've calculated the weather for the…
Complex Fish
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How to predict next number from a given set of measurement data?

I have to do some experiment and measure it on a specific time 0, 3, 6, 9, 12, 18, 24, 36 months $$ \begin{array}{l|c|c|c|c|c|c} \text{Month} &ID1 & ID2 & ID3 & ID4 & ID5 & ID6\\\hline 0 & 101.7& 102.6& 101.7 &100.5 &100.4…
Modnoiz Antonio
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How to prove a given statistical test has the greatest power

It is very conventional in evaluating the null hypothesis to consider the distribution of the mean of a sample of some size if the null hypothesis were true and to compare the mean of your own sample to that distribution. (At least if the…
mathlawguy
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Critical region and power function for hypothesis test

Hi all I have a question about Hypothesis test, could you please help me? If $X_{1},X_{2},\ldots,X_{n}$ are independent, where $X_{i}$ is $N(\theta_{i},1)$ , find the critical region and power function for the Most Powerful test of size $\alpha$ …
John
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Number of channels required to provide access to subscribers 80% of the time

A multichannel microwave link is to provide telephone communicationto a remote community having 12 subscribers, each of whom uses the link 20% of the time during peak hours. How many channels are needed to make the link available during peak hours…
Aditya
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Statistics; looking for a practical example-based book

I'm looking for an example-based 2nd year or thereabouts undergraduate statistics textbook in the style of Engineering Maths by Ken Stroud (http://www.amazon.co.uk/Stroud-Engineering-Mathematics/dp/0387912185 easily my favourite maths text book). At…
James
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What is asymmetry index in an array of numbers?

Someone gave me this question , and I cannot find any source that can be helpful. Find the asymmetry index given an array of numbers and an integer -> find asymmetry index of the array Note: I posted this question at stackoverflow, and I have…
Kick Buttowski
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Simple way to derive formula from dataset?

I'm not too good at math but I'm going to give this ago anyway and try and explain. Say I have a dataset, where each object in the set (not too sure about my correct use of terminology!) has $4$ different characteristics, and an overall score. If I…
user166754
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What do I need in order to draw conclusions from this data?

I have three techniques, called A, B and C. Each can be used independently when trying to perform four related tasks (Tasks 1, 2, 3 and 4). I have run lots of tests, and tried all combinations of each technique being on or off. My results look…
John Wickerson
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Is it possible to determine the average and median if we only have the upper part of a bell curve?

Practical example: http://dota2.com/leaderboards shows the ~800 best solo ranked match-making scores in an Elo rating system. The lowest possible score is 1. There were 9318362 players last month, but not all of them participate in ranked…
daxim
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Statistics - Finding the median

Problem : x = 0-4 , 4-10 , 10-18 , 18-30 , 30-40 f(x) = 15 , 35 , 20 , 20 , 10 Finding the median? This is that I did : Cumulative frequency distribution : F(x) = 15 , 50 , 70 , 90 , 100 Midpoint : 2 , 7 , 14 , 24 , 35 Formula : $Md = L_0 +…
JaVaPG
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Mean of this experiment

Let the following experience : Let $x=n_0\in\mathbb{N}$. Each step, $x$ has a $1/2$ probability of increasing by one and a $1/2$ probability of decreasing by one. The goal is to determine the Mean of this experience for an infinite number of…
Hippalectryon
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What is the "Logistic Regression"? I cannot have a unified concept.

I have a question about logistic regression. Recently, I interested in logistic regression for modeling some classification problem. So I tried to study logistic regression with two books, "Discrete Choice Methods with Simulation" (Train) and…
S.Hong
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Advantage of Bootstrapping Confidence Intervals over Standard Error

I want to compare means from samples of varying size, plug them into a bar graph and have appropriate values to plug in for the error bars. My sample sizes are: A = 1 B = 3 C = 14 D = 7 E = 13 F = 190 G = 33 I intended to use the typical standard…
Slavatron
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Statistical search for two needles in random haystacks

I have written a script to analyze some data at work, and for each run, it outputs a long list of integers. Each set of results is a frequency distribution (each integer appears one to many times). The result set also includes two particular…
Cogicero
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