# Statistics

• Basic Probability Formula - Learn how to calculate the probability of an event using the basic probability formula. Understand the concept of favorable and total outcomes.
• Batting Average - Calculate the batting average of a baseball player based on hits and at-bats.
• Bayes' Theorem Probability - Bayes' Theorem calculator to determine the posterior probability of an event based on prior probabilities and likelihood.
• Bayesian Probability - Bayesian probability formula computes updated probability of a hypothesis based on prior probability and newly acquired evidence or likelihood.
• Binomial Coefficient - Calculate the binomial coefficient or combinations of selecting k items from a set of n items. Understand the mathematical formula C(n, k) and its use in combinatorics.
• Central Limit Theorem Example - The Central Limit Theorem calculator uses population mean, standard deviation, and sample size to estimate the mean and standard error of the sampling distribution.
• Coefficient of Determination (R²) - The Coefficient of Determination (R²) is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.
• Coefficient of Variation - Learn to calculate the coefficient of variation (CV), a statistical measure of the dispersion of data points around the mean, expressed as a percentage.
• Cohen's Kappa - Cohen's Kappa is a statistical metric used to measure the reliability of inter-rater agreement for qualitative items, taking into account the possibility of the agreement occurring by chance.
• Conditional Probability - Calculate conditional probability P(A|B) with our easy-to-use tool. Learn how the occurrence of one event affects the probability of another.
• Effect Size (Cohen’s D) for T-Test - Cohen’s D is a standardized measure of the difference between two means and is used to quantify the size of the effect in a T-Test. This calculator helps find the effect size.
• Email Open Rate - Email open rate is a measure of how many recipients open an email campaign. This calculator helps find the email open rate as a percentage.
• F-Test of Equality of Variances - The F-Test of Equality of Variances calculates the ratio of two variances to verify the assumption of equal variances for statistical analysis. Parameters are the variances of the two samples.
• Geometric Mean - Learn how to calculate the geometric mean, which is used to determine the central tendency of a set of numbers by using the product of their values.
• Harmonic Mean - The harmonic mean is a type of average calculated for a set of numbers, especially for rates such as speed. This calculator helps find the harmonic mean of a given set of values.
• Marginal Probability Distribution - The marginal probability distribution formula calculates the probability of an event occurring irrespective of the outcome of another random variable.
• Median of a Set of Numbers - Calculate the median of a set of numbers by ordering and identifying the middle value or the average of two middle values for even sets.
• Normal Distribution Probability - The normal distribution probability function calculates the probability of a specific value occurring in a normal distribution, given the mean and standard deviation.
• Permutation Formula - The permutation formula calculates the number of ways to arrange a certain number of objects from a set. Learn the formula and its application.
• Principal Component Analysis (PCA) - Principal Component Analysis (PCA) is a statistical procedure used for dimensionality reduction and data visualization.
• Probability Density Function with Normal Distribution - The probability density function (PDF) for the normal distribution describes the likelihood of a random variable taking on a certain value within a probability distribution. This calculator helps calculate the PDF for a given value in a normal distribution.
• Probability of Intersection of Two Events - Learn how to calculate the probability of the intersection of two independent events with this probability calculator.
• Range - The range is the difference between the largest and smallest values within a dataset. This calculator helps find the range of a set of numbers.
• Range of Numbers - This calculator helps find the range of a set of numbers by calculating the difference between the maximum and minimum values within the set.
• Simple Moving Average - Simple Moving Average (SMA) calculation tool, averaging data points over a specified period. Useful for smoothing data trends in financial analysis.
• Standard Deviation (Population) - Standard deviation is a statistical measure of the spread or variability of a dataset. Calculate the population standard deviation using the provided formula.
• Cumulative Distribution Function for a Standard Normal Distribution - Calculate the cumulative distribution function (CDF) for a standard normal distribution for any given z-score using this tool. It utilizes the error function for approximation.
• Uniform Distribution Probability - The uniform distribution probability formula calculates the likelihood of a number falling within a specified range, where each outcome is equally likely. Understand its application in statistics.
• Z-Score (Standard Score) - Z-score, or standard score, is a statistical measure that indicates how many standard deviations a value is from the mean of its data set. It's crucial for data standardization, outlier detection, and probability calculations.