Never in the same shape
The Probability Mass Function (PMF) is a function that associates with each value of a discrete random variable the probability that the variable takes on that particular value. In other words, the PMF provides the probability distribution of a discrete random variable.
Descriptive statistics is a crucial step in data analysis, providing a detailed overview of the main characteristics of a dataset. R, with its vast ecosystem of packages, offers a powerful and coherent solution to address this phase. Among these, Tidyverse stands out, a set of packages designed to improve data manipulation, analysis and visualization in R.
Statistics is a discipline that deals with the collection, analysis and interpretation of data. Through the use of statistical methods, it is possible to extract meaningful information from data, draw …
Bayesian statistics is an approach to statistics that relies on Bayes’ theorem to update the probabilities of hypotheses in light of new available data. Unlike the Frequentist approach, Bayesian statistics treats probabilities as expressions of knowledge or uncertainty rather than as frequencies of events.
Centrality measures, such as the mean, median, and mode, identify the typical value of a data set, providing a reference point for understanding the distribution. These measures work synergistically with measures of dispersion, such as standard deviation and IQR, to quantify the variability around the central value. Considering both of these aspects offers a comprehensive perspective of the distribution, essential for statistical modeling, informed decisions, and the accurate description of data.
Calculating measures of dispersion, such as standard deviation and IQR, is crucial for evaluating the variability of data around its central tendency. These measures provide critical information about the distribution, allowing you to identify outliers, compare distributions, and make informed decisions. Understanding variability is essential for process control, building accurate statistical models, and supporting predictions and decisions in different contexts.
Evaluating the shape of a distribution in statistics is crucial for selecting appropriate models, ensuring the validity of inferences, and identifying anomalous behavior. With measures such as skewness and kurtosis, the skewness, tail and concentration of the distribution are evaluated. This analysis guides the choice of descriptive statistics, regression models and hypothesis tests, ensuring correct interpretation of the data. Understanding the shape of the distribution is essential for preparing data, comparing groups, and making reliable predictions.
Regression analysis is a statistical technique that is used to explore the relationship between a dependent variable and one or more independent variables. While classic regression analysis focuses on the …
Statistical regression is a powerful tool in the data analyst’s arsenal, allowing you to explore relationships between variables and make predictions based on these relationships. In this article, we will delve deeper into regression, exploring its fundamental concepts, different types and practical applications.
Marginal probability is a probability measure that is obtained by adding (or integrating, in the case of continuous variables) the joint probability over one or more events. In other words, it involves obtaining the probability of an individual event while ignoring information about the other events involved. This operation can be performed on both discrete variables and continuous variables.