Introduction To Elementary Statistical Methods

Statistics

What you'll learn

Distinguish and describe the difference between Statistics and Probability and explain the role of probability in statistics.

Represent, organize and visualize given data through tables or pictures.

Calculate confidence intervals and interpret the outcomes and do testing of hypotheses using Normal table and t table for p-values and critical values

Solve linear regression and correlation problems and interpret their outcomes

Requirements

No prerequisites are needed

Description

This course provides an elementary overview of the nature and uses of descriptive statistics, inferential statistics, and probability. Topics include statistical graphs, measures of central tendency and dispersion, linear regression, empirical and theoretical concepts of probability, the Central Limit Theorem, interval estimation, and hypothesis testing.Upon successful completion of this course, students will:A. Distinguish between a population and a sample and identify which is a representative sample and which is not.B. Distinguish and describe the difference between Statistics and Probability and explain the role of probability in statistics.C. Represent, organize and visualize given data through tables or pictures.D. Distinguish the differences between central tendencies and dispersions and be able to use calculators (or software in general) to calculate them.E. Solve linear regression and correlation problems and interpret their outcomes.F. Develop skills in dealing with univariate and bivariate data and be able to draw conclusions on the required parameters.G. Calculate probabilities for binomial and normal probability distributions and use binomial and normal probability tables.H. Calculate confidence intervals and interpret the outcomes and do testing of hypotheses using Normal table and t table for p-values and critical values (or software) and interpret outcomes drawn from hypothesis testing.

Overview

Section 1: The Nature of Probability and Statistics

Lecture 1 Introduction to Chapter 1

Lecture 2 Chapter 1

Lecture 3 Summary

Lecture 4 Chapter 1 Worksheet : Strengthening Your Statistical Foundations

Section 2: Frequency Distributions and Graphs

Lecture 5 Introduction to Chapter 2

Lecture 6 Chapter 2 Part One

Lecture 7 Chapter 2 Part Two

Lecture 8 Summary

Lecture 9 Chapter 2 Worksheet: Mastering Data Organization and Visualization

Section 3: Data Description

Lecture 10 Introduction to Chapter 3

Lecture 11 Chapter 3 Part One

Lecture 12 Chapter 3 Part Two

Lecture 13 Chapter 3 Part Three

Lecture 14 Summary

Lecture 15 Chapter 3 Worksheet: Exploring Data Through Measures and Distributions

Section 4: Probability and Counting Rules

Lecture 16 Introduction to Chapter 4

Lecture 17 Chapter 4 Part One

Lecture 18 Chapter 4 Part Two

Lecture 19 Summary

Lecture 20 Chapter 4 Worksheet: Mastering Probability and Counting Rules

Section 5: Discrete Probability Distributions

Lecture 21 Introduction to Chapter 5

Lecture 22 Chapter 5

Lecture 23 Summary

Lecture 24 Chapter 5 Worksheet: Understanding Discrete Probability Distributions

Section 6: The Normal Distribution

Lecture 25 Introduction to Chapter 6

Lecture 26 Chapter 6 Part One

Lecture 27 Chapter 6 Part Two

Lecture 28 Summary

Lecture 29 Chapter 6 Worksheet: Exploring the Normal Distribution and Its Applications

Section 7: Confidence Intervals and Sample Size

Lecture 30 Introduction to Chapter 7

Lecture 31 Chapter 7 Part One

Lecture 32 Chapter 7 Part Two

Lecture 33 Summary

Lecture 34 Chapter 7 Worksheet: Confidence Intervals and Sample Size Mastery

Section 8: Hypothesis Testing

Lecture 35 Introduction to Chapter 8

Lecture 36 Chapter 8 Part One

Lecture 37 Chapter 8 Part Two

Lecture 38 Summary

Lecture 39 Chapter 8 Worksheet: Hypothesis Testing Fundamentals

Section 9: Correlation and Regression

Lecture 40 Introduction to Correlation and Regression

Lecture 41 Chapter 9

Lecture 42 Summary

Lecture 43 Chapter 9 Worksheet: Exploring Correlation and Regression

Section 10: Final Exam

Introduction to Elementary Statistics