Time Series Analysis

Introduction to Time Series Analysis Time series analysis refers to methods used to analyze time-ordered data points. These data points are typically collected over consistent intervals (e.g., daily, monthly, yearly) and are used to understand underlying patterns and forecast future…

Sampling Methods

Introduction to Sampling In statistics, sampling refers to the process of selecting a subset (sample) from a larger group (population) to make inferences about the population. Sampling allows researchers to gather insights and draw conclusions without having to collect data…

ANOVA (Analysis of Variance)

Introduction to ANOVA Analysis of Variance (ANOVA) is a statistical method used to determine if there are significant differences between the means of three or more groups. Unlike a t-test, which compares means between two groups, ANOVA allows for comparisons…

Regression and Correlation

Introduction to Regression and Correlation Regression and correlation are two of the most widely used techniques in statistical analysis for examining the relationship between variables. While both aim to explore relationships, regression focuses on predicting one variable based on the…

Confidence Intervals

Introduction to Confidence Intervals A Confidence Interval (CI) is a range of values, derived from a sample, that is likely to contain the value of an unknown population parameter. The key idea behind confidence intervals is to provide an estimated…

Hypothesis Testing

Introduction to Hypothesis Testing Hypothesis testing is a fundamental statistical method used to determine whether there is enough evidence to reject a null hypothesis ($H_0$) in favor of an alternative hypothesis ($H_1$). It is commonly used in various fields like…

Probability Theory

Probability theory is the branch of mathematics that deals with the study of uncertainty, randomness, and the likelihood of different outcomes in various events. It provides a framework for quantifying and reasoning about uncertain events and forms the foundation for…