Free Course Image Statistics Course for Beginners

Free online courseStatistics Course for Beginners

Duration of the online course: 9 hours and 48 minutes

New course

Learn the basics of statistics with this comprehensive beginner’s course. Explore key concepts like data visualization, hypothesis testing, ANOVA, regression, and more. Enroll now!

In this free course, learn about

  • Course Overview and Statistical Foundations
  • Study Designs and Types of Variables
  • Graphical Summaries of Data
  • Describing Distributions and Central Tendency
  • Measures of Variability and Populations vs Samples
  • Sampling Distributions and the Central Limit Theorem
  • Confidence Intervals and Margin of Error
  • Introduction to Hypothesis Testing and t-Distribution
  • Errors, Power, and Resampling Methods
  • Bivariate Analysis and Categorical Data Methods
  • Analysis of Variance and Multiple Comparisons
  • Risk Measures and Epidemiologic Study Measures
  • Linear Regression and Model Fit
  • Advanced Hypothesis Testing Concepts
  • Probability Puzzles and Intuition

Course Description

Welcome to the "Statistics Course for Beginners." Perfectly designed for those new to statistics, this comprehensive course offers a duration of 9 hours and 48 minutes to thoroughly cover fundamental statistical concepts.

In the introduction, you'll delve into an overview of the course, encapsulating the essentials of what you will learn and exploring why this course is hailed as one of the best introductory statistics courses available.

The journey begins with a series of video tutorials that provide a broad yet detailed look at the statistics curriculum. Terminologies and definitions will be explained, ensuring you are familiar with the essential language of statistics.

One of the most critical aspects of any study is the design. This section covers various study designs, including cross-sectional, case-control, and cohort studies, giving you insight into how to structure your statistical inquiries.

Understanding variables and their types is crucial in any statistical analysis. You'll learn to distinguish between different types of variables and the applications of bar charts, pie charts, and frequency tables in representing data.

For those interested in visual data representation, the course explores histograms and density plots for numeric data, as well as boxplots and plots for two variables, providing the skills needed to graphically summarize data effectively.

Distributions are a cornerstone of statistical analysis. You'll learn to describe distributions in terms of center and spread and gain insights into key metrics like mean, median, mode, percentiles, quantiles, and quartiles.

Key components like standard deviation, understanding the difference between sample and population, and the normal distribution are covered extensively. You'll also explore the concept of Z-scores and the relevance of the Central Limit Theorem.

Confidence intervals and hypothesis testing form the backbone of inferential statistics. This course offers thorough explanations of these concepts, alongside practical examples to heighten your understanding of the material.

Deep dive into specialized topics such as the t-distribution, margin of error, bootstrapping, and resampling techniques. You’ll learn to compare confidence intervals and hypothesis tests to draw more precise conclusions from your data.

When it comes to hypothesis testing, you'll understand one-sided versus two-sided alternatives and gain insights into errors and power in hypothesis testing and the intricacies of power calculations.

Move beyond single-variable analysis with bivariate analysis, exploring its meaning and practical applications through categorical data and various tests such as the paired t-test and Wilcoxon signed rank test.

For those comparing groups, the two-sample t-test is discussed, including considerations of equal versus unequal variance assumptions and bootstrap methods for hypothesis testing and creating confidence intervals.

ANOVA or Analysis of Variance offers a robust method for assessing differences among group means. This section covers all necessary details, from introduction to the computation of F-statistic and p-values, and includes the Bonferroni correction for multiple comparisons.

Broaden your statistical toolkit with tests such as the Chi-square test for independence and measures like odds ratios, relative risks, and risk differences, specifically in the context of case-control studies.

Conclude your journey with a focus on simple linear regression, underst.

Course content

  • Video class: Statistics Course Overview | Best Statistics Course | MarinStatsLectures 14m
  • Exercise: In an introductory statistics course, what is an example of a numeric summary statistic used to summarize a sample?
  • Video class: Statistics Video Tutorials at a Glance | Best Statistics Tutorials | MarinStatsLectures 02m
  • Exercise: What is the main goal of the video series?
  • Video class: Statistics Terminology and Definitions| Statistics Tutorial | MarinStatsLectures 09m
  • Exercise: In the context of statistical analysis, what does inferential statistics aim to accomplish?
  • Video class: Study Designs (Cross-sectional, Case-control, Cohort) | Statistics Tutorial | MarinStatsLectures 11m
  • Exercise: What is the main difference between observational and experimental study designs in health research?
  • Video class: Variables and Types of Variables | Statistics Tutorial | MarinStatsLectures 13m
  • Exercise: What is the correct term for variables that can take on integer values, potentially ranging up to infinity, but cannot be fractions?
  • Video class: Bar Chart, Pie Chart, Frequency Tables | Statistics Tutorial | MarinStatsLectures 07m
  • Exercise: What is the best method to visually represent a categorical variable distribution?
  • Video class: Histograms and Density Plots for Numeric Variables | Statistics Tutorial | MarinStatsLectures 07m
  • Exercise: What is the main advantage of using kernel density plots over histograms?
  • Video class: Boxplots in Statistics | Statistics Tutorial | MarinStatsLectures 08m
  • Exercise: What is the purpose of a box plot in data analysis?
  • Video class: Plots for Two Variables | Statistics Tutorial | MarinStatsLectures 09m
  • Exercise: Which of the following is an appropriate plot to analyze the relationship between a categorical and a numeric variable?
  • Video class: Describing Distributions: Center, Spread 07m
  • Exercise: How are income distributions typically characterized?
  • Video class: Mean, Median and Mode in Statistics | Statistics Tutorial | MarinStatsLectures 10m
  • Exercise: Which measure of central tendency is known for being robust, meaning it is not sensitive to outliers or extreme values in a dataset?
  • Video class: Percentiles, Quantiles and Quartiles in Statistics | Statistics Tutorial | MarinStatsLectures 07m
  • Exercise: What is a median in statistics?
  • Video class: Standard Deviation 11m
  • Exercise: What is the reason for using the (n-1) term in the denominator when calculating the sample standard deviation rather than just 'n'?
  • Video class: Sample and Population in Statistics | Statistics Tutorial | MarinStatsLectures 09m
  • Exercise: What is the sample proportion of individuals with the disease in a sample of 100?
  • Video class: Normal Distribution, Z-Scores 09m
  • Exercise: According to the 68, 95, 99.7 rule for a normal distribution, if the mean height of a population is 175 cm with a standard deviation of 10 cm, what percentage of the population will have heights between 155 cm and 195 cm?
  • Video class: Measures of Spread 11m
  • Video class: Samples from a Normal Distribution | Statistics Tutorial #4 | MarinStatsLectures 05m
  • Exercise: What is the key concept of statistical inference?
  • Video class: Central Limit Theorem 07m
  • Exercise: What is the central limit theorem?
  • Video class: Standard Error of the Mean: Concept and Formula | Statistics Tutorial #6 | MarinStatsLectures 05m
  • Exercise: What is the standard error of the sample mean formula?
  • Video class: Confidence Interval Concept Explained | Statistics Tutorial #7 | MarinStatsLectures 08m
  • Exercise: What is the standard error of the mean used to estimate when constructing a confidence interval for a single mean?
  • Video class: Confidence Interval for Mean with Example | Statistics Tutorial #10 | MarinStatsLectures 13m
  • Video class: Margin of Error 09m
  • Exercise: Which of the following actions can effectively decrease the margin of error when constructing a confidence interval?
  • Video class: Hypothesis Testing Explained | Statistics Tutorial | MarinStatsLectures 09m
  • Exercise: What is the probability of obtaining a sample mean of 135 or more?
  • Video class: t-distribution in Statistics and Probability | Statistics Tutorial #9 | MarinStatsLectures 04m
  • Exercise: Why is the t-distribution used instead of the standard normal (Z) distribution when dealing with sample data?
  • Video class: Hypothesis Testing: Calculations and Interpretations| Statistics Tutorial #13 | MarinStatsLectures 16m
  • Exercise: In hypothesis testing, what is the purpose of a null hypothesis (H0)?
  • Video class: Hypothesis Test vs. Confidence Interval | Statistics Tutorial #15 | MarinStatsLectures 05m
  • Exercise: What can we infer about the relationship between the p-value of a hypothesis test and the corresponding confidence interval?
  • Video class: Errors and Power in Hypothesis Testing | Statistics Tutorial #16 | MarinStatsLectures 12m
  • Video class: Power Calculations in Hypothesis Testing | Statistics Tutorial #17 | MarinStatsLectures 19m
  • Exercise: Which of the following factors does NOT affect the power of a hypothesis test?
  • Video class: Statistical Inference Definition with Example | Statistics Tutorial #18 | MarinStatsLectures 05m
  • Video class: Bootstrapping and Resampling in Statistics with Example| Statistics Tutorial #12 |MarinStatsLectures 17m
  • Video class: Bootstrap Hypothesis Testing in Statistics with Example |Statistics Tutorial #35 |MarinStatsLectures 16m
  • Exercise: In the context of a hypothesis test involving two diets for chicks, which of the following is a characteristic of the null hypothesis?
  • Video class: Bootstrap Confidence Interval with Examples | Statistics Tutorial #36 | MarinStatsLectures 09m
  • Video class: Permutation Hypothesis Testing with Example | Statistics Tutorial # 37 | MarinStatsLectures 17m
  • Exercise: In the context of hypothesis testing, which of the following best describes a permutation test?
  • Video class: Bivariate Analysis Meaning | Statistics Tutorial #19 | MarinStatsLectures 09m
  • Exercise: Which one of the following is NOT a typical property of parametric approaches?
  • Video class: Bivariate Analysis for Categorical 12m
  • Video class: Paired t Test | Statistics Tutorial #21| MarinStatsLectures 14m
  • Exercise: What is the primary reason for pairing or matching individuals in a paired t-test?
  • Video class: Wilcoxon Signed Rank Test | Statistics Tutorial #22 | MarinStatsLectures 19m
  • Video class: Two Sample t-test for Independent Groups | Statistics Tutorial #23| MarinStatsLectures 15m
  • Exercise: What does the independent two-sample t-test compare?
  • Video class: Two Sample t-Test:Equal vs Unequal Variance Assumption| Statistics Tutorial #24| MarinStatsLectures 14m
  • Video class: One Way ANOVA (Analysis of Variance): Introduction | Statistics Tutorial #25 | MarinStatsLectures 09m
  • Video class: ANOVA (Analysis of Variance) and Sum of Squares | Statistics Tutorial #26 | MarinStatsLectures 17m
  • Exercise: In the context of one-way ANOVA, what does the sum of squares within groups (SS within) represent?
  • Video class: ANOVA Part III: F Statistic and P Value | Statistics Tutorial #27 | MarinStatsLectures 09m
  • Video class: ANOVA Part IV: Bonferroni Correction | Statistics Tutorial #28 | MarinStatsLectures 16m
  • Exercise: What does the Bonferroni correction do in the context of multiple hypothesis testing?
  • Video class: Chi Square Test of Independence | Statistics Tutorial #29| MarinStatsLectures 24m
  • Video class: Odds Ratio, Relative Risk, Risk Difference | Statistics Tutorial #30| MarinStatsLectures 11m
  • Exercise: What is the definition of the odds ratio in the context of a 2x2 table when comparing two groups?
  • Video class: Case-Control Study and Odds Ratio | Statistics Tutorial #31| MarinStatsLectures 09m
  • Video class: Simple Linear Regression Concept | Statistics Tutorial #32 | MarinStatsLectures 18m
  • Exercise: Which of the following statements best describes the interpretation of the slope in a simple linear regression model?
  • Video class: Linearity and Nonlinearity in Linear Regression | Statistics Tutorial #33 | MarinStatsLectures 18m
  • Video class: R Squared or Coefficient of Determination | Statistics Tutorial | MarinStatsLectures 15m
  • Exercise: What does R-squared (coefficient of determination) indicate in a linear regression model?
  • Video class: Bootstrapping and Resampling in Statistics with Example| Statistics Tutorial #12 |MarinStatsLectures 17m
  • Video class: Hypothesis Testing: Calculations and Interpretations| Statistics Tutorial #13 | MarinStatsLectures 16m
  • Exercise: In hypothesis testing, what is the purpose of a null hypothesis (H0)?
  • Video class: Hypothesis Testing: One Sided vs Two Sided Alternative | Statistics Tutorial #14 |MarinStatsLectures 08m
  • Video class: Hypothesis Test vs. Confidence Interval | Statistics Tutorial #15 | MarinStatsLectures 05m
  • Exercise: What can we infer about the relationship between the p-value of a hypothesis test and the corresponding confidence interval?
  • Video class: Errors and Power in Hypothesis Testing | Statistics Tutorial #16 | MarinStatsLectures 12m
  • Video class: Power Calculations in Hypothesis Testing | Statistics Tutorial #17 | MarinStatsLectures 19m
  • Exercise: Which of the following factors does NOT affect the power of a hypothesis test?
  • Video class: The Monty Hall Problem in Statistics | Statistics Tutorial | MarinStatsLectures 06m
  • Exercise: In the Monty Hall problem, you start with three doors, behind one is a car (the winning prize) and behind the other two are goats (gag prizes). After choosing a door, the host (who knows where the car is) opens one of the other two doors, revealing a goat. You are then given the chance to stick with your initial choice or switch to the other unopened door. What is the optimal strategy to increase your chances of winning the car?

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