POINT ESTIMATION AND CONFIDENCE INTERVALS

Point estimation provides a single estimation for an unknown population parameter, such as the mean or proportion while confidence intervals give a range of values within which the true population parameter is likely to fall at a certain confidence level around the point estimate

Point estimation

What is an estimator?

Explore the concept of estimators in statistics and their role in estimating population parameters from sample data.

Estimation of a population mean

Learn how to estimate the mean of a population based on sample data using point estimation techniques.

Estimation of a population variance

Learn how to estimate the population variance from sample data, including key formulas and interpretations.

Estimation of a proportion

Explore techniques for estimating proportions in statistics. Understand the methods and formulas used to accurately estimate and analyze proportions in various contexts

Sample size calculation

Determine the minimum sample size needed to estimate a population parameter with a specified margin of error and confidence level.

Confidence intervals

What is a confidence interval?

Understand confidence intervals: what they are, how to interpret them, and their role in making informed estimates about population parameters.

Confidence intervals for a sample

Confidence interval for a mean

Understand the concept of confidence intervals for a mean and how they help estimate the true population mean.

Confidence interval for the variance of a normal distribution

Understand how to construct and interpret confidence intervals for the variance of a normal distribution, an essential step in statistical analysis.

Confidence interval for a proportion

Understand the method for constructing a confidence interval for a population proportion, a fundamental tool in estimating population parameters based on sample data.

Confidence intervals for two samples

Confidence interval for the difference between two means

Understand how to construct and interpret confidence intervals for the difference between two population means, whether the samples are independent or paired.

Confidence interval for the difference of paired means

Learn how to calculate and interpret confidence intervals for the difference of paired means, commonly used in studies where measurements are taken on the same subjects before and after an intervention.

Confidence interval for variances ratio

Learn how to construct and interpret confidence intervals for the ratio of variances between two independent samples, often used in comparing the variability of different processes or treatments.

Confidence interval for the difference between two proportions

Estimate the difference between two population proportions with a confidence interval, used in A/B testing, clinical trials and survey comparisons.