Prerequisites

Probability

Statistics for Applications

Introduction

History

https://en.wikipedia.org/wiki/History_of_statistics

Statistics etymology

Statistique, statisticus, statista, statistics, estadística, Statistik: state data of community.

https://www.etymonline.com/word/statistics

https://www.youtube.com/watch?v=GS5B4Le7hhc&ab_channel=InstitutoJuandeMariana

Modern definition

Statistics is a branch of math, which studies the collection, analysis, interpretation, presentation, and organization of data about an object study.

Picture of object study.

A statistician is a mathematician who works in statistics.

Randomness

Probability

• Given a probability problem you need statistics. In fact, statistics will be about finding those basic numbers. Statistics is focused on frequently probability branches

Descriptive statistics

Central tendency

Variation

Shape

Worked examples

Inferential statistics

Confidence Intervals

Hypothesis tests

https://towardsdatascience.com/an-interactive-guide-to-hypothesis-testing-in-python-979f4d62d85

Chi-Square

One-Way Analysis on Variance

Skewness

Bias ≠ Skewness

Sesgo (def. 7 de la RAE) no es lo mismo que sesgo (def. 4 de la RAE). La def. 4 es la que nosotros estudiamos aqui: ¿hacia donde se tuercen o distorsionan los datos? La situación donde NO existe distorsión es cuando los datos son simétricos, en otro caso, los datos son asimétricos. Para está última situación necesitamos una medida de distorción.

Asale, R.-, & Rae. (2022, November 24). sesgo, sesga | Diccionario de la lengua española. Retrieved from https://dle.rae.es/sesgo

Comparative statistics

Visualizing relationships

Correlation coefficient

Correlation Analysis for More than Two Variables

Statistical Thinking and Data Analysis

The statistical methods arise from summarizing and characterizing data and making statements about “hidden” facts.

Sample statistic.

Implementation

n-1

https://www.youtube.com/watch?v=KkaU2ur3Ymw&ab_channel=KhanAcademy