Welcome to On Statistics

In the realm of statistics, we often encounter questions that involve estimating a population proportion – the true percentage of individuals in a population possessing a specific characteristic. However, directly accessing the entire population is often impractical or impossible. This is where confidence intervals (CIs) come into play, offering a powerful tool for estimating the…

In the realm of data analysis, comparing two populations or groups often lies at the heart of our inquiries. Whether it’s examining the effectiveness of different teaching methods, assessing the growth rates of two companies, or comparing the average age of residents in two neighbourhoods, understanding the difference between the populations becomes crucial. However, relying…

In the realm of statistics, where data reigns supreme, drawing conclusions and making inferences often involves peering through a veil of uncertainty. While sample statistics like the mean give us a glimpse into the population parameters, they are inherently estimates and not the absolute truth. This is where confidence intervals (CI) come in, playing a…

In the realm of probability and statistics, the Central Limit Theorem (CLT) stands as a cornerstone, offering a powerful tool for understanding the behavior of sample means. This fundamental theorem reveals a fascinating phenomenon: regardless of the original distribution of a population, if you draw sufficiently large samples from that population, the distribution of the…

In the realm of probability and statistics, understanding the likelihood of various outcomes in an experiment is crucial. The multinomial distribution emerges as a powerful tool for analyzing scenarios where multiple possible outcomes can occur in a single trial, and we’re interested in the probability of obtaining specific combinations of these outcomes over a series…