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JoVE Core

Statistics

Video textbook for undergraduate courses: Visualized concepts and experiments

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17 Chapters

200+ Videos

1,950+ Multiple Choice Questions

Chapter 1

Understanding Statistics

15 Videos · 16 Minutes

Introduction to Statistics

1.1: Introduction to Statistics

57.3K views

How Data are Classified: Categorical Data

1.2: How Data are Classified: Categorical Data

39.1K views

How Data are Classified: Numerical Data

1.3: How Data are Classified: Numerical Data

34.2K views

Nominal Level of Measurement

1.4: Nominal Level of Measurement

33.5K views

Ordinal Level of Measurement

1.5: Ordinal Level of Measurement

28.5K views

Interval Level of Measurement

1.6: Interval Level of Measurement

16.9K views

Ratio Level of Measurement

1.7: Ratio Level of Measurement

19.8K views

Data Collection by Observations

1.8: Data Collection by Observations

13.9K views

Data Collection by Experiments

1.9: Data Collection by Experiments

26.3K views

Data Collection by Survey

1.10: Data Collection by Survey

8K views

Random Sampling Method

1.11: Random Sampling Method

13.4K views

Systematic Sampling Method

1.12: Systematic Sampling Method

11.8K views

Convenience Sampling Method

1.13: Convenience Sampling Method

10.3K views

Stratified Sampling Method

1.14: Stratified Sampling Method

13.8K views

Cluster Sampling Method

1.15: Cluster Sampling Method

13.5K views

Chapter 2

Summarizing and Visualizing Data

15 Videos · 16 Minutes

Review and Preview

2.1: Review and Preview

10.2K views

What is a Frequency Distribution

2.2: What is a Frequency Distribution

23.9K views

Construction of Frequency Distribution

2.3: Construction of Frequency Distribution

11.1K views

Relative Frequency Distribution

2.4: Relative Frequency Distribution

12.4K views

Percentage Frequency Distribution

2.5: Percentage Frequency Distribution

60.7K views

Cumulative Frequency Distribution

2.6: Cumulative Frequency Distribution

7.7K views

2.7: Ogive Graph

6.2K views

2.8: Histogram

15.4K views

Relative Frequency Histogram

2.9: Relative Frequency Histogram

6K views

2.10: Scatter Plot

10.4K views

Time-Series Graph

2.11: Time-Series Graph

4.7K views

2.12: Bar Graph

20.5K views

Multiple Bar Graph

2.13: Multiple Bar Graph

8.5K views

2.14: Pareto Chart

7.3K views

2.15: Pie Chart

15.1K views

Chapter 3

Measure of Central Tendency

13 Videos · 14 Minutes

What is Central Tendency?

3.1: What is Central Tendency?

16.7K views

Arithmetic Mean

3.2: Arithmetic Mean

16.4K views

3.3: Geometric Mean

3.7K views

3.4: Harmonic Mean

3.4K views

3.5: Trimmed Mean

3.1K views

3.6: Weighted Mean

5.9K views

Root Mean Square

3.7: Root Mean Square

3.5K views

Mean From a Frequency Distribution

3.8: Mean From a Frequency Distribution

19.5K views

What is a Mode?

3.9: What is a Mode?

22.8K views

3.10: Median

25.2K views

3.11: Midrange

3.9K views

3.12: Skewness

15.2K views

Types of Skewness

3.13: Types of Skewness

15K views

Chapter 4

Measures of Variation

11 Videos · 12 Minutes

What is Variation?

4.1: What is Variation?

15.8K views

4.2: Range

13.2K views

Standard Deviation

4.3: Standard Deviation

25.3K views

Standard Error of the Mean

4.4: Standard Error of the Mean

10.1K views

Calculating Standard Deviation

4.5: Calculating Standard Deviation

10.3K views

4.6: Variance

11.3K views

Coefficient of Variation

4.7: Coefficient of Variation

7.2K views

Range Rule of Thumb to Interpret Standard Deviation

4.8: Range Rule of Thumb to Interpret Standard Deviation

11.5K views

Empirical Method to Interpret Standard Deviation

4.9: Empirical Method to Interpret Standard Deviation

7.5K views

Chebyshev’s Theorem to Interpret Standard Deviation

4.10: Chebyshev’s Theorem to Interpret Standard Deviation

4.7K views

Mean Absolute Deviation

4.11: Mean Absolute Deviation

3K views

Chapter 5

Measures of Relative Standing

9 Videos · 10 Minutes

Review and Preview

5.1: Review and Preview

8.1K views

Introduction to <em>z</em> Scores

5.2: Introduction to z Scores

10.6K views

<em>z</em> Scores and Unusual Values

5.3: z Scores and Unusual Values

10.7K views

5.4: Percentile

8K views

5.5: Quartile

7.6K views

5-Number Summary

5.6: 5-Number Summary

5.2K views

5.7: Boxplot

12K views

What Are Outliers?

5.8: What Are Outliers?

4.6K views

Modified Boxplots

5.9: Modified Boxplots

10.6K views

Chapter 6

Probability Distributions

14 Videos · 17 Minutes

Probability in Statistics

6.1: Probability in Statistics

19.6K views

Random Variables

6.2: Random Variables

16.3K views

Probability Distributions

6.3: Probability Distributions

10.6K views

Probability Histograms

6.4: Probability Histograms

12.7K views

Unusual Results

6.5: Unusual Results

3.6K views

6.6: Expected Value

6.8K views

Binomial Probability Distribution

6.7: Binomial Probability Distribution

14.2K views

Poisson Probability Distribution

6.8: Poisson Probability Distribution

10.8K views

Uniform Distribution

6.9: Uniform Distribution

5.7K views

Normal Distribution

6.10: Normal Distribution

15.4K views

<em>z</em> Scores and Area Under the Curve

6.11: z Scores and Area Under the Curve

15.8K views

Applications of Normal Distribution

6.12: Applications of Normal Distribution

8K views

Sampling Distribution

6.13: Sampling Distribution

15.6K views

Central Limit Theorem

6.14: Central Limit Theorem

18.3K views

Chapter 7

Estimates

11 Videos · 14 Minutes

What are Estimates?

7.1: What are Estimates?

7K views

Sample Proportion and Population Proportion

7.2: Sample Proportion and Population Proportion

5.9K views

Confidence Intervals

7.3: Confidence Intervals

8.8K views

Confidence Coefficient

7.4: Confidence Coefficient

9.4K views

Interpretation of Confidence Intervals

7.5: Interpretation of Confidence Intervals

8.2K views

Critical Values

7.6: Critical Values

9K views

Margin of Error

7.7: Margin of Error

6K views

Sample Size Calculation

7.8: Sample Size Calculation

5.3K views

Estimating Population Mean with Known Standard Deviation

7.9: Estimating Population Mean with Known Standard Deviation

9.1K views

Estimating Population Mean with Unknown Standard Deviation

7.10: Estimating Population Mean with Unknown Standard Deviation

8.4K views

Confidence Interval for Estimating Population Mean

7.11: Confidence Interval for Estimating Population Mean

8.4K views

Chapter 8

Distributions

15 Videos · 19 Minutes

Distributions to Estimate Population Parameter

8.1: Distributions to Estimate Population Parameter

4.5K views

Degrees of Freedom

8.2: Degrees of Freedom

5.7K views

Student <em>t</em> Distribution

8.3: Student t Distribution

10.6K views

Choosing Between <em>z</em> and <em>t</em> Distribution

8.4: Choosing Between z and t Distribution

3.3K views

Chi-square Distribution

8.5: Chi-square Distribution

5.5K views

Finding Critical Values for Chi-Square

8.6: Finding Critical Values for Chi-Square

3.6K views

Estimating Population Standard Deviation

8.7: Estimating Population Standard Deviation

3.2K views

Goodness-of-Fit Test

8.8: Goodness-of-Fit Test

6.8K views

Expected Frequencies in Goodness-of-Fit Tests

8.9: Expected Frequencies in Goodness-of-Fit Tests

4.8K views

Contingency Table

8.10: Contingency Table

3.1K views

Introduction to Test of Independence

8.11: Introduction to Test of Independence

2.6K views

Hypothesis Test for Test of Independence

8.12: Hypothesis Test for Test of Independence

5.6K views

Determination of Expected Frequency

8.13: Determination of Expected Frequency

2.3K views

Test for Homogeneity

8.14: Test for Homogeneity

2.2K views

<em>F</em> Distribution

8.15: F Distribution

6.5K views

Chapter 9

Hypothesis Testing

13 Videos · 16 Minutes

What is a Hypothesis?

9.1: What is a Hypothesis?

13.5K views

Null and Alternative Hypotheses

9.2: Null and Alternative Hypotheses

11.1K views

Critical Region, Critical Values and Significance Level

9.3: Critical Region, Critical Values and Significance Level

12.6K views

<em>P</em>-value

9.4: P-value

7.7K views

Types of Hypothesis Testing

9.5: Types of Hypothesis Testing

27.1K views

Decision Making: <em>P</em>-value Method

9.6: Decision Making: P-value Method

6.2K views

Decision Making: Traditional Method

9.7: Decision Making: Traditional Method

4.6K views

Hypothesis: Accept or Fail to Reject?

9.8: Hypothesis: Accept or Fail to Reject?

28.7K views

Errors In Hypothesis Tests

9.9: Errors In Hypothesis Tests

5.2K views

Testing a Claim about Population Proportion

9.10: Testing a Claim about Population Proportion

3.5K views

Testing a Claim about Mean: Known Population SD

9.11: Testing a Claim about Mean: Known Population SD

2.9K views

Testing a Claim about Mean: Unknown Population SD

9.12: Testing a Claim about Mean: Unknown Population SD

4.6K views

Testing a Claim about Standard Deviation

9.13: Testing a Claim about Standard Deviation

2.6K views

Chapter 10

Analysis of Variance

7 Videos · 8 Minutes

What is an ANOVA?

10.1: What is an ANOVA?

8.6K views

10.2: One-Way ANOVA

10K views

One-Way ANOVA: Equal Sample Sizes

10.3: One-Way ANOVA: Equal Sample Sizes

3.6K views

One-Way ANOVA: Unequal Sample Sizes

10.4: One-Way ANOVA: Unequal Sample Sizes

6.1K views

Multiple Comparison Tests

10.5: Multiple Comparison Tests

4.1K views

Bonferroni Test

10.6: Bonferroni Test

3K views

10.7: Two-Way ANOVA

2.9K views

Chapter 11

Correlation and Regression

10 Videos · 11 Minutes

11.1: Correlation

13.3K views

Coefficient of Correlation

11.2: Coefficient of Correlation

7.1K views

Calculating and Interpreting the Linear Correlation Coefficient

11.3: Calculating and Interpreting the Linear Correlation Coefficient

6.8K views

Regression Analysis

11.4: Regression Analysis

6.7K views

Outliers and Influential Points

11.5: Outliers and Influential Points

5K views

Residuals and Least-Squares Property

11.6: Residuals and Least-Squares Property

8.2K views

11.7: Residual Plots

5.3K views

11.8: Variation

7.4K views

Prediction Intervals

11.9: Prediction Intervals

2.5K views

Multiple Regression

11.10: Multiple Regression

3.4K views

Chapter 12

Statistics in Practice

10 Videos · 12 Minutes

What is an Experiment?

12.1: What is an Experiment?

16.8K views

Study Design in Statistics

12.2: Study Design in Statistics

9.7K views

Observational Studies

12.3: Observational Studies

10.3K views

Experimental Designs

12.4: Experimental Designs

16.2K views

Randomized Experiments

12.5: Randomized Experiments

8.5K views

Crossover Experiments

12.6: Crossover Experiments

4.2K views

Controls in Experiments

12.7: Controls in Experiments

14.3K views

12.8: Bias

6.5K views

12.9: Blinding

3.6K views

Clinical Trials

12.10: Clinical Trials

9.9K views

Chapter 13

Nonparametric Statistics

22 Videos · 27 Minutes

Introduction to Nonparametric Statistics

13.1: Introduction to Nonparametric Statistics

1K views

13.2: Ranks

322 views

Introduction to the Sign Test

13.3: Introduction to the Sign Test

1.1K views

Sign Test for Matched Pairs

13.4: Sign Test for Matched Pairs

255 views

Sign Test for Nominal Data

13.5: Sign Test for Nominal Data

211 views

Sign Test for Median of Single Population

13.6: Sign Test for Median of Single Population

211 views

Wilcoxon Signed-Ranks Test for Matched Pairs

13.7: Wilcoxon Signed-Ranks Test for Matched Pairs

279 views

Wilcoxon Signed-Ranks Test for Median of Single Population

13.8: Wilcoxon Signed-Ranks Test for Median of Single Population

287 views

Wilcoxon Rank-Sum Test

13.9: Wilcoxon Rank-Sum Test

437 views

13.10: Bootstrapping

708 views

The Anderson-Darling Test

13.11: The Anderson-Darling Test

954 views

Spearman’s Rank Correlation Test

13.12: Spearman’s Rank Correlation Test

1.1K views

Kendall’s Tau Test

13.13: Kendall’s Tau Test

919 views

Kruskal-Wallis Test

13.14: Kruskal-Wallis Test

1K views

Wald-Wolfowitz Runs Test I

13.15: Wald-Wolfowitz Runs Test I

786 views

Wald-Wolfowitz Runs Test II

13.16: Wald-Wolfowitz Runs Test II

374 views

Behrens–Fisher Test

13.17: Behrens–Fisher Test

154 views

Fisher's Exact Test

13.18: Fisher's Exact Test

928 views

Friedman Two-way Analysis of Variance by Ranks

13.19: Friedman Two-way Analysis of Variance by Ranks

353 views

Cochran’s Q Test

13.20: Cochran’s Q Test

682 views

13.21: McNemar’s Test

560 views

Kendall’s Coefficient of Concordance

13.22: Kendall’s Coefficient of Concordance

668 views

Chapter 14

Biostatistics

19 Videos · 25 Minutes

Overview of Biostatistics in Health Sciences

14.1: Overview of Biostatistics in Health Sciences

3.6K views

Introduction to Epidemiology

14.2: Introduction to Epidemiology

1.2K views

Prevalence and Incidence

14.3: Prevalence and Incidence

1.1K views

Sensitivity, Specificity, and Predicted Value

14.4: Sensitivity, Specificity, and Predicted Value

906 views

Receiver Operating Characteristic Plot

14.5: Receiver Operating Characteristic Plot

365 views

Study Designs in Epidemiology

14.6: Study Designs in Epidemiology

575 views

Response Surface Methodology

14.7: Response Surface Methodology

357 views

14.8: Relative Risk

866 views

14.9: Odds Ratio

692 views

Causality in Epidemiology

14.10: Causality in Epidemiology

1.2K views

Confounding in Epidemiological Studies

14.11: Confounding in Epidemiological Studies

347 views

Strategies for Assessing and Addressing Confounding

14.12: Strategies for Assessing and Addressing Confounding

191 views

Criteria for Causality: Bradford Hill Criteria – I

14.13: Criteria for Causality: Bradford Hill Criteria – I

700 views

Criteria for Causality: Bradford Hill Criteria – II

14.14: Criteria for Causality: Bradford Hill Criteria – II

863 views

Bias in Epidemiological Studies

14.15: Bias in Epidemiological Studies

902 views

Statistical Methods for Analyzing Epidemiological Data

14.16: Statistical Methods for Analyzing Epidemiological Data

669 views

Steps in Outbreak Investigation

14.17: Steps in Outbreak Investigation

286 views

Principles of Disease Surveillance

14.18: Principles of Disease Surveillance

287 views

Longitudinal Studies

14.19: Longitudinal Studies

300 views

Chapter 15

Survival Analysis

16 Videos · 20 Minutes

Introduction To Survival Analysis

15.1: Introduction To Survival Analysis

469 views

15.2: Life Tables

289 views

Survival Curves

15.3: Survival Curves

419 views

Actuarial Approach

15.4: Actuarial Approach

175 views

Kaplan-Meier Approach

15.5: Kaplan-Meier Approach

348 views

Assumptions of Survival Analysis

15.6: Assumptions of Survival Analysis

230 views

Comparing the Survival Analysis of Two or More Groups

15.7: Comparing the Survival Analysis of Two or More Groups

376 views

The Mantel-Cox Log-Rank Test

15.8: The Mantel-Cox Log-Rank Test

729 views

Applications of Life Tables

15.9: Applications of Life Tables

154 views

Cancer Survival Analysis

15.10: Cancer Survival Analysis

496 views

15.11: Hazard Rate

246 views

15.12: Hazard Ratio

339 views

Truncation in Survival Analysis

15.13: Truncation in Survival Analysis

370 views

Censoring Survival Data

15.14: Censoring Survival Data

318 views

15.15: Survival Tree

207 views

Parametric Survival Analysis: Weibull and Exponential Methods

15.16: Parametric Survival Analysis: Weibull and Exponential Methods

779 views

Chapter 16

Statistical Softwares

16 Videos · 20 Minutes

Statistical Software for Data Analysis and Clinical Trials

16.1: Statistical Software for Data Analysis and Clinical Trials

1K views

Overview of Microsoft Excel as a Data Analysis Tool

16.2: Overview of Microsoft Excel as a Data Analysis Tool

1.2K views

Performing a Simple Data Analysis using MS-Excel Function

16.3: Performing a Simple Data Analysis using MS-Excel Function

725 views

Statistical Package for the Social Sciences (SPSS)

16.4: Statistical Package for the Social Sciences (SPSS)

727 views

Introduction to R

16.5: Introduction to R

3.3K views

Statistical Analysis System (SAS)

16.6: Statistical Analysis System (SAS)

495 views

Introduction to MATLAB

16.7: Introduction to MATLAB

404 views

Overview of Minitab

16.8: Overview of Minitab

338 views

Econometric Views (EViews)

16.9: Econometric Views (EViews)

337 views

16.10: Statgraphics

243 views

Microsoft Excel: Finding Central Tendency, Skew, and Kurtosis

16.11: Microsoft Excel: Finding Central Tendency, Skew, and Kurtosis

465 views

Microsoft Excel: Plotting Mean, SD, and SE

16.12: Microsoft Excel: Plotting Mean, SD, and SE

687 views

Microsoft Excel: Median, Quartile range, and Box Plots

16.13: Microsoft Excel: Median, Quartile range, and Box Plots

2.4K views

Microsoft Excel: Pearson’s Correlation

16.14: Microsoft Excel: Pearson’s Correlation

1.3K views

Microsoft Excel: Regression Analysis

16.15: Microsoft Excel: Regression Analysis

1.2K views

Microsoft Excel: Student’s <em>t</em>-Test

16.16: Microsoft Excel: Student’s t-Test

929 views

Chapter 17

Control Charts

7 Videos · 8 Minutes

Introduction to Statistical Process Control

17.1: Introduction to Statistical Process Control

383 views

17.2: Run Charts

158 views

Interpreting Run Charts

17.3: Interpreting Run Charts

2.9K views

17.4: The R Chart

207 views

Interpreting R Charts

17.5: Interpreting R Charts

174 views

17.6: The X̄ Chart

289 views

Interpreting X̄ Charts

17.7: Interpreting X̄ Charts

162 views

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