How Do You Estimate the Number of Elements with a Specific Property in a Sample?

  • Context: Undergrad 
  • Thread starter Thread starter emob2p
  • Start date Start date
  • Tags Tags
    Estimation Point
Click For Summary
SUMMARY

The discussion focuses on estimating the number of elements with a specific property in a sample drawn from a population. It emphasizes that if a population has x/y percent of elements with property q, then in a sample of size n, the expected number of elements with property q (denoted as z) should approximate the fraction x/y. The conversation highlights the relevance of the binomial distribution in maximizing the accuracy of this estimation.

PREREQUISITES
  • Understanding of binomial distribution principles
  • Familiarity with statistical sampling techniques
  • Knowledge of population proportions
  • Basic probability theory
NEXT STEPS
  • Study the properties of the binomial distribution in detail
  • Learn about confidence intervals for population proportions
  • Explore statistical sampling methods and their applications
  • Investigate the Central Limit Theorem and its implications for sample size
USEFUL FOR

Statisticians, data analysts, researchers, and anyone involved in sampling and estimation processes in various fields.

emob2p
Messages
56
Reaction score
1
Suppose I have a total population with x/y percent having a certain property q. If I take an n-number sample of this population, what is the most likely number of elements in this sample that will have property q?

I want to say the fraction z/n will be as close to x/y as possible where z is the number of q-elements in our sample. Any thoughts on how to prove this?
 
Physics news on Phys.org
You want to maximize the binomial distribution.
 
Last edited:

Similar threads

Undergrad Desirable estimator properties...
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad What to do with biased estimators if we don't know the bias term?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Is the Sample Size Calculation in This Article Accurate?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Sampling theory and random sample
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Is Unbiasedness in Estimation Truly Reflective of Population Parameters?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad How to implement proper error estimation using MC
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad What are the commonly used estimators in regression models?
  • · Replies 23 ·
Replies
23
Views
4K
Undergrad Error bars in Excel (standard deviation, standard error, percentage)
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Estimating Gene Mutation Proportion: A & B Approaches
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Stratified sampling based on properties of random number streams
  • · Replies 1 ·
Replies
1
Views
2K