Median Test step by step procedure with mathematical example

The median test is one of the simplest and most widely used procedure for testing the Ho that the independent sample have been drawn from the population with equal median value. This process is a non-parametric testing procedure. Assumptions of Median Test There are some assumptions, The date consist of two independent random samples x1,x2,…,xn and … Read more

Non-Parametric Tests in Statistics

Statistical analysis plays a crucial role in data interpretation across various fields. While parametric tests are widely used, non-parametric tests provide a robust alternative when data assumptions are not met. In statistics, Non-parametric tests test which does not make any assumption as to the form of distribution in the population from which the sample is drawn … Read more

Random Variable and its Types with Properties

Random variables are a fundamental concept in probability and statistics, widely used in data analysis, machine learning, and various scientific disciplines. In this article, we will explore what a random variable is, its types, properties, and applications. In statistics, A Random Variable is a set of possible values from a random experiment which is known … Read more

Measures of Dispersion in Statistics and its types

Measures of dispersion is statistical measure by which we determine how the observations spread out or scattered on each side of center. Variance and standard deviation is the most popular measures of dispersion. More precisely, Measures of dispersion in statistics refer to numerical values that describe the extent of variation or spread in a dataset. … Read more

Statistical Hypothesis Testing step by step procedure

Hypothesis testing helps statisticians infer information about populations from sample data. Researchers widely apply it in medicine, economics, and social sciences to validate claims and draw meaningful conclusions. Statistical hypothesis testing involves performing a test based on observed data, modeling it as the realized values taken by a collection. According to Investopedia, “Hypothesis testing is an … Read more

An Intuitive Study of Experimental Design

Experimental design involves researchers formulating a set of rules and principles to conduct an experiment. This process ensures the collection of appropriate data, leading to valid inferences for the problem under investigation. More precisely, experimental design is a way to carefully plan experiments to get valid and objective results. Experimental design is about establishing cause … Read more

Probability Distributions in Statistics

In statistics, probability distributions are a very important measure that relates to the random variable and statistical data. Every data pattern follows a probability distribution. Continuous data follow a continuous distribution, and discrete data follow discrete distributions. According to Wikipedia, “In probability theory and statistics, a probability distribution is the mathematical function that gives the … Read more

Variance and Standard Deviation in Statistics

Variance is one of the best measure of dispersion which measure the difference of all observation from the center value of the observations.       Population variance and standard deviation The average of the square of the deviations taken from mean is called variance. The population variance is generally denoted by σ2and its estimate … Read more

Geometric Mean definiton, formula and applications

The Geometric mean is a special types of average where we calculate the root of the product of a value of a set of observations. It is usually used to define various types of growth rates such as population growth, interest rates etc.    Formula of geometric mean By definition, the formula is as below,     … Read more

Harmonic Mean definition, formula and applications

The harmonic mean is the inverse of the arithmetic mean of the reciprocals of the observations of a set. It is a type of average generally used for numbers that represent a rate or ratio such as the precision and the recall in information retrieval and can be described as the reciprocal of the arithmetic mean … Read more

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