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YouTube

Introductory Statistics

Math with Professor V via YouTube

Overview

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Learn fundamental statistical concepts and methods through this comprehensive video course covering descriptive statistics, probability theory, and inferential statistics. Master the nature of statistics and data organization, including qualitative and quantitative data presentation, distribution shapes, and identifying misleading graphs. Explore measures of central tendency and variation, apply Chebyshev's and Empirical rules, and construct five-number summaries and boxplots. Develop probability skills through basic probability rules, contingency tables, conditional probability, and independence concepts. Study discrete random variables, probability distributions, binomial and Poisson distributions, and the normal distribution. Understand sampling distributions and the Central Limit Theorem for sample means. Apply statistical inference techniques including confidence intervals and hypothesis testing for single population means and proportions. Compare two population means using various methods and perform paired t-tests. Conduct chi-square procedures and goodness-of-fit tests, analyze regression and correlation using both descriptive and inferential methods, and perform Analysis of Variance (ANOVA). Gain practical experience using StatCrunch software for finding critical values and conducting statistical analyses throughout the course.

Syllabus

Introductory Statistics: Chapter 1--The Nature of Statistics (1.1-1.3) | Math with Professor V
Introductory Statistics: Variables & Data/Organizing Qualitative Data (2.1 & 2.2)
Introductory Statistics: Organizing Quantitative Data; Distrib. Shapes; Misleading Graphs (2.3-2.5)
Introductory Statistics: Measures of Center & Variation; Chebyshev's Rule; Empirical Rule (3.1-3.3)
Introductory Stats: The 5 Number Summary; Boxplots; Descrip. Measures for Pop; Samples (3.4 & 3.5)
Introductory Statistics: Probability Basics; Events; Rules of Probability (4.1-4.3)
Intro Stats: Contingency Tables; Conditional Probability; Mult Rule; Independence (4.4-4.6)
Introductory Statistics: Discrete Random Variables; Probability Distributions (5.1 & 5.2)
Introductory Statistics: The Binomial and Poisson Distributions (5.3 & 5.4) | Math with Professor V
Introductory Statistics: The Normal Distribution (6.1-6.4) | Math with Professor V
Introductory Statistics: The Sampling Distribution of the Sample Mean (7.1-7.3)
Introductory Statistics: Confidence Intervals for One Population Mean (8.1-8.3)
Introductory Statistics: Hypothesis Testing for One Population Mean PART ONE (9.1-9.4)
Introductory Statistics: Hypothesis Testing for One Population Mean PART TWO (9.1-9.4)
Introductory Statistics: Inferences for Two Population Means (10.2, 10.3, 10.5)
Alternative Method for Paired t-Test in StatCrunch | Intro to Statistics | Math with Professor V
Introductory Statistics: Inferences for Population Proportions (12.1-12.3) | Math with Professor V
Introductory Statistics: Chi-Square Procedure & Goodness-of-Fit (13.1 & 13.2) | Math w/ Professor V
Introductory Statistics: Descriptive Methods in Regression & Correlation (14.1-14.4)
Introductory Statistics: Inferential Methods in Regression & Correlation (15.2 & 15.4)
Introductory Statistics: Analysis of Variance | ANOVA (16.1-16.3) | Math with Professor V
Finding Critical Values Using StatCrunch | Math with Professor V

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Math with Professor V

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