Statistical Analysis Stack Exchange
Statistical Analysis Stack Exchange

Questions tagged [inference]

Drawing conclusions about population parameters from sample data. See https://en.wikipedia.org/wiki/Inference and https://en.wikipedia.org/wiki/Statistical_inference

Inference, in a statistical context, refers to drawing conclusions from data containing an element of randomness introduced by e.g. measurement error, sampling variation, or assignment of experimental treatments. A common inferential paradigm is drawing conclusions about population parameters from sample data.

3045 questions
11
votes
3 answers

Auction problem

Let's say an auction house holds $N$ exactly same copies of some valuable asset and holds an auction to sell them off. It knows that the attending public has some opinions about the value of this lot, which are distributed with a CDF $\Phi$. The…
SBF
  • 425
10
votes
3 answers

Measuring some of the patients more than once

I'm conducting a clinical study where I determine an anthropometrical measure of the patients. I know how to handle the situation where I have one measure per patient: I make a model, where I have a random sample $X_1,\dots,X_n$ from some density…
Wronski
  • 101
6
votes
1 answer

Puzzle: Detecting Duplicate Solutions

This question has been on my mind for a while, so I am asking it here. Suppose there are n students who are tasked with an assignment. Students can either produce an original solution, or they can copy a solution from one of their collegues. Let's…
r0f1
  • 237
4
votes
0 answers

Inference and noninference parts of statistical theory

I was wondering from the view of dividing the topics of statistical theory into inference part and non-inference part, what inference topics and non-inference topics statistical theory is covering? By inference, I mean the task in logic to reach…
Tim
  • 19,445
3
votes
1 answer

Compare two (or more?) groups of regression coefficients

Short version: I need to compare two small (~10) groups of numbers, usual setup for a non-paired t-test, or Mann-Whitney. But -- the numbers come each with its own SE, and since the groups are small, this is presumably relevant. Question -- how do I…
AVB
  • 628
3
votes
2 answers

Two different standard deviations?

I'm reading this book and on page 419 the authors state the following theorem: I'm really confused. What is the standard deviation? $\sigma$ or $\sigma/\sqrt{n}$?
user45523
  • 547
3
votes
1 answer

Cramèr-Rao lower bound on the variance of an unbiased estimator

When is the variance of an unbiased estimator lower than the Cramèr-Rao lower bound ??
P.mcs
  • 33
3
votes
0 answers

What type of drawn sample is more informative about $\theta$?

We have two sampling methods: 1. $X_1,\ldots,X_n$ from a Bernoulli$(\theta)$ distribution; 2. $Y_1,\ldots,Y_n$ from a Geom($\theta$) distribution. Which is more informative about $\theta$ and also what would you choose if the sample size $n$ is…
Mr. Bromwich I
  • 131
3
votes
1 answer

Can I use inferential statistics and its assumptions with data that is capped by physical limits?

I am measuring the read speed of a device that reads files from a microSD card through a custom device (I therefore cannot use benchmarks posted on the internet for this). I'm doing this because I am developing a time-critical application and I need…
Zimano
  • 219
2
votes
1 answer

Left-tail and right-tail method

I've been reading on one-tailed tests. I get that the direction is determined in the hypotheses. However, in doing the test statistic itself, how do I know if I'm doing it in the right way or the other? Or is the process the same and only the…
NoobPers0n
  • 21
  • 1
2
votes
0 answers

Compute the parameters of a distribution from samples drawn from the tail of the distribution

I have a collection of N samples drawn from a population by the following process: Draw M samples from the population, where each sample is a non-negative real number Drop all but the N samples with the highest values, where N << M. Note that N…
Tom Ault
  • 21
1
vote
1 answer

Is this a correct usage of confidence intervals?

I need to quantify the relative error of a process that computes the volume of some objects. I also have a sample ($n=400$) of objects that are known to be made of a homogeneous material. Since the density is fixed and known, I figured one could…
statsnewbie
  • 13
1
vote
0 answers

What statistical tool should I use to determine the best and worst dependent variable from two measured independent variable?

I am researching the effect of temperature on the water-resistant properties of paper by measuring contact angle and water absorption. How can I determine the best and worst temperatures using the values from the two parameters? Thank you.
Polen
  • 11
1
vote
0 answers

Approaches for testing a weighted coin to find the true probability

I have a question I've been wondering about. Say you have some weighted coin and you have a reasonable belief that it has a 1/10 chance of heads on a flip (although this is not necessarily the true probability). And after 5000 trials you obtain 455…
user1133454
  • 11
1
vote
1 answer

Confusion on a Statistical Statement

I am confused about the statistical statement I am making based on the following scenario: Scenario: The membership of a professional organisation is only open to the top 10% of students in a district. There are 400 members, coming from (say) 45…
Javeer Baker
  • 111
  • 4
1
2 3 4