
Welcome to the Euclid's Statistical Matrix! This
is a Multiilingual Dashboard designed to assist in the teaching and
learning of the basics of statistics. The Matrix includes 4 outstanding
youtube courses and an excellent ebook by David Lane. It is also
multilingual with an Arabic
Course by Dr. Serageldin and an
Arabic RMLA.
Videos from each series line up across the Matrix rows based on similar
video content so that if a student or teacher has difficulty with
lecture on hypothesis testing video, they can look at videos on the same
topic from other instructors. Each cell contains hyperlinks which will
take you to the video lecture on the YouTube website. If one has difficulty understanding a
statistical concept in class, they may try one or more of the following
videos in the grid! Also, this greatly helps the preparation of
statistics courses as one can see 6 or more different ways that others
have taught.
Agriculture
Statistics Matrix
Anthropology Statistics Matrix
Statistics Matrix
in Arabic Statistics
Matrix in English
Farsi Statistics
Matrix
Japanese
Statistics Matrix
Psychology
Statistics Matrix
Russian Statistics
Matrix
Sociology Statistics Matrix
The first column of the
Matrix
has been left empty; this allows for individual adaptation of the
Matrix, where a lecturer may insert their own lecture materials (video,
powerpoint, etc.). Enjoy! Contact Us 
supercoursehelp@gmail.com 











Add your own lectures here!
↓ ↓ 

Developer of English Matrix  Curtis Tilves under the direction of Ronald LaPorte, Ismail
Serageldin, Faina Linkov, Eugene Shubnikov and Francois Sauer,
Supercourse and Library of Alexandria
team. Developers of
Matrices. 


Research Methods Library of
Alexandria Statistical Matrix 

Khan Academy Channel: Statistics playlist 
Brandon Foltz 
Statslectures 
Statisticsfun 
OnlineStatBook.com 

Khan Academy (khanacademy.org) is a
nonprofit organization which utilizes a computerized blackboard to
illustrate each step of a problem. "Our mission to provide a worldclass
education for anyone, anywhere." 
Brandon Foltz has a masters in Education and
a passion for sharing knowledge. "My videos are fulllength lessons...so
grab some coffee, tea, lassi, Apokat, sbiten', soo chunkwa...or whatever
sounds tasty and relaxing." 
These series of YouTube videos are brought
to you by StatisticsLectures.com. "We focus on creating short, applied
content with an emphasis on the logic behind various statistical
methods." 
David Longstreet from MyBookSucks.com
expertly takes you through several statistical concepts. "The goal is
to use 21st century tools to deliver education and learning for
statistics." 
David Lane is the principal developer of this resource although many
others have made substantial contributions. This site was developed at
Rice University, University of HoustonClear Lake, and Tufts University. 

Statistics: The Average 
12:35 


Central Tendency: Mean, Median, and Mode 
3:47 
How to Calculate Mean and Standard Deviation 
2:12 
Median and Mean 









Mean and Median Demonstration 

Statistics: Sample vs. Population Mean 
6:42 
Population vs Sample Data 
26:47 
Arithmetic Mean for Samples and Populations 
2:46 


What is Central Tendency? 









Measures of Central Tendency 









Balance Scale Simulation 









Additional Measures of Central Tendency 









Comparing Measures of Central Tendency 



Point Estimators 
14:48 




Introduction to Estimation 









Characteristics of Estimators 

Statistics: Variance of a Population 
12:23 
Variance and its Sampling Distribution 
27:20 
Variance and Standard Deviation of a Population 
5:01 
Why are Degress of Freedom (n1) Used in Variance and Standard Deviation 
7:05 
Measures of Variability 









Variability Simulation 









Variation Simulation 









Effects of Linear Transformations 









Variance Sum Law I 

Statistics: Sample Variance 
11:18 


Variance and Standard Deviation of a Sample 
5:46 
How to Calculate Standard Deviation, Mean, Variance Statistics, Excel 
4:35 
Degrees of Freedom 

Statistics: Standard Deviation 
13:07 
Standard Deviation and NFL Field Goals  Part 1/3 
20:05 
Variance and Standard Deviation of Discrete Random Variables 
2:51 
Standard Deviation and Variance (Explaining Formulas) 
5:31 
Absolute Deviation Simulation 



Standard Deviation and NFL Field Goals  Part 2/3 
26:26 


How to Calculate Standard Deviation and Variance 
5:05 
Squared Deviation Simulation 



Standard Deviation and NFL Field Goals  Part 3/3 
6:45 


Calculating Standard Deviation Using Excel 
6:01 


Statistics: Alternate Variance Formulas 
12:17 








Introduction to Random Variables 
12:04 
Random Variable Basics 
11:59 
Types of Variables 
3:34 


Variables 



Discrete Random Variable Basics 
12:46 
Independent and Dependent Variables 
1:28 






Discrete Random Variable Probabilities 
19:42 
Discrete and Continuous Random Variables 
2:17 






Discrete Random Variable Variance 
26:16 






Probability Density Functions 
10:02 
Uniform Probability Distribution 
30:31 
Frequency Distributions and Cumulative Frequency Distributions 
1:35 


Distributions 





Discrete Probability Distributions 
1:56 


Shapes of Distributions 









Comparing Distributions 

Binomial Distribution 1 
12:16 
The Binomial Distribution 
36:50 
Binomial Distribution 
4:25 
Binomial Distribution Probability Coins 
7:52 
Binomial Distribution 

Binomial Distribution 2 
11:05 
Binomial Mean and Standard Deviation 
21:41 
Mean and Standard Deviation of Binomial Random Variables 
1:39 


Binomial Demonstration 

Binomial Distribution 3 
13:27 
Simple Binomial Sales Quota Analysis 
20:41 




Normal Approximation to the Binomial 

Binomial Distribution 4 
10:46 
Binomially Distributed Mac OS X User Rate 
32:43 




Multinomial Distribution 



Binomially Distributed Factory Accident Data 
20:42 






Expected Value: E(X) 
14:53 
Expected Value 
21:18 
Mean and Expected Value of Discrete Random Variables 
1:51 




Expected Value of a Binomial Distribution 
16:56 








Poisson Process 1 
11:01 
Introduction to the Poisson Distribution 
31:14 
Poisson Distribution/Process 
3:18 


Poisson Distribution 

Poisson Process 2 
12:42 
Poisson Practice Problems 
28:03 
Mean and Standard Deviation of Poisson Random Variables 
2:01 






Poisson Graphs in Excel 
17:52 






Law of Large Numbers 
9:00 


The Law of Large Numbers 
1:30 




Normal Distribution Excel Exercise 
26:04 
Is My Data Normal? 
25:31 






Introduction to the Normal Distribution 
26:24 
A Tour of the Normal Distribution 
26:58 




Introduction to Normal Distributions 

Normal Distribution Problems: Qualitative Sense of Normal Distributions 
10:53 
Sampling Distributions 
18:48 






Normal Distribution Problems: Zscore 
7:48 
Understanding Zscores 
22:57 
Zscores (Part One) 
3:03 
An Introduction to Zscores 
3:53 
History of the Normal Distribution 





Zscores (Part Two) 
4:01 
How to Calculate Zscores 
3:51 
Areas Under Normal Distributions 







How to Calculate Normalized Zscore 
7:15 
Varieties Demonstration 







How to Look Up Normalized Tables Zscores Standard Normal Curve Table 
7:34 
Standard Normal Distribution 







How to use Normalized Tables Zscore (Standard Table) 
5:03 
Normal Approximation Demonstration 

Normal Distribution Problems: Empirical Rule 
10:25 


The Normal Curve and Empirical Rule 
3:18 




Exercise: Standard Normal Distribution and the Empirical 
8:16 








More Empirical Rule and Zscore Practice 
5:57 


Exra Zscore Problems 
4:54 
An
Example of how to Zscore and Hypothesis Testing 
3:59 


Central Limit Theorem 
9:49 


The Central Limit Theorem 
1:17 


Central Limit Theorem Demonstration 

Sampling Distribution of the Sample Mean 
10:52 
Sample Mean Proximity to Population Mean 
38:59 
Distribution of the Sampling Mean 
4:49 


Introduction to Sampling Distributions 

Sampling Distribution of the Sample Mean 2 
13:20 






Sampling Distribution Demonstration 

Sampling Distribution Example Problem 
14:28 






Sampling Size Demonstration 









Sampling Distribution of the Mean 

Standard Error of the Mean 
15:15 
Standard Error of the Mean 
32:03 
Parameters, Statistics, and Sampling Error 
2:20 




Confidence Interval 1 
14:03 




How to use Excel to Calculate Confidence Interval 
4:59 
Confidence Intervals Introduction 

Mean and Variance of Bernoulli Distribution Example 
8:20 








Bernoulli Distribution Mean and Variance Formulas 
6:59 








Margin of Error 1 
15:03 




How to Calculate Confidence Intervals and Margin of Error 
6:44 


Margin of Error 2 
10:05 




How to Calculate Sample Size and Margin of Error 
6:46 








How to Calculate Margin of Error and Standard Deviation 
6:42 








How to Calculate Margin of Error Confidence Interval for a Population
Proportion 
8:04 


Confidence Interval Example 
18:36 






Confidence Interval Demonstration 

Small Sample Size and Confidence Intervals 
11:11 








Hypothesis Testing and pvalues 
11:27 
Introduction to Hypothesis Formulation 
21:09 
Null and Alternative Hypotheses 
2:42 
Pvalues, Zscores, Alpha, Critical Values 
5:37 
Significance Testing 



Null and Alternative HypothesesPart 1 
22:17 
User Submitted Question: Alpha Levels 
2:26 


Introduction to Hypothesis Testing 



Null and Alternative HypothesesPart 2 
18:10 




Interpreting Significant Results 









Interpreting NonSignificant Results 









Steps in Hypothesis Testing 









Significance Testing and Confidence Intervals 









Misconceptions in Hypothesis Testing 









Sampling Distribution of p 

Onetailed and Twotailed Tests 
6:34 


OneTailed and TwoTailed Tests 
2:06 
How to Calculate One Tail and Two Tail Tests for Hypothesis Testing 
4:34 
One and TwoTailed Tests 

Zstatistics vs. Tstatistics 
6:40 
To Z or to T, That is the Question 
38:17 






Type I Errors 
3:24 
Type I and Type II ErrorsPart 1 
24:55 
Type I and Type II Errors 
4:25 
Learn to Understand Hypothesis Testing for Type I and Type II Errors 
7:01 
Type I and Type II Errors 



Type I and Type II ErrorsPart 2 
24:04 




Robustness Simulation 



Visualizing Type I and Type II Error 
37:43 








Calculating Type II ErrorPart 1 
23:39 








Calculating Type II ErrorPart 2 
20:57 








Controlling Type II Error Using Sample Size 
38:10 






Small Sample Hypothesis Test 
9:04 
Single Sample Hypothesis ZtestPart 1 
19:09 
One Sample Ztest 
6:17 


Testing a Single Mean 



Single Sample Hypothesis ZtestPart 2 
15:17 
One Sample Ztest for Proportions 
6:08 


Confidence Interval on the Mean 



Single Sample Hypothesis ZtestPart 3 
16:11 








Single Sample Hypothesis TtestPart 1 
25:41 
One Sample Ttest 
4:49 
How to Calculate T Distributions 
5:47 
t Distribution 



Single Sample Hypothesis TtestPart 2 
28:08 


How to Calculate T Statistics Test Between the Means of Related Groups
(Dependent Means) 
11:10 
t Distribution Demonstration 







How to Calculate T Statistics of Different Groups 
10:22 


Tstatistic Confidence Interval 
11:47 


Confidence Intervals for Independent Samples Ttest 
2:54 








Confidence Intervals for Dependent Samples Ttest 
2:33 




Large Sample Proportion Hypothesis Testing 
14:31 








Variance of Differences of Random Variables 
10:47 
Two Populations, Ztest with Hypothesis 
26:37 




Difference Between Two Means (Independent Groups) 



Two Populations, Ttest with Hypothesis 
33:58 








Two Populations, Matched Sample Ttest 
34:28 








Fratio Test for Two Equal Variances 
18:03 








Fratio test Practice for Two Equal Variances 
12:54 






Difference of Sample Means Distribution 
12:18 






Difference Between Means 









Difference Between Two Means 









Sampling Distribution of Difference Between Means 

Confidence Interval of Difference of Means 
15:49 


Confidence Intervals about the Mean, Population Standard Deviation
Unknown 
5:15 




Clarification of Confidence Interval of Difference of Means 
2:42 








Hypothesis Test for Difference of Means 
10:07 








Comparing Population Proportions 1 
10:47 
Confindence Intervals, Population Deviation Known 
44:07 
Sample Proportions 
3:09 


Proportion 

Comparing Population Proportions 2 
10:01 
Confidence Intervals, Population Deviation UnknownPart 1 
27:15 
Ztest for Proportions, Two Samples 
4:05 


Proportions 

Hypothesis Test Comparing Population Proportions 
16:13 
Confidence Intervals, Population Deviation UnknownPart 2 
20:57 
Confidence Intervals for Population Proportions 
4:18 


Proportion of Variance Explained 





Confidence Intervals for the Difference of Two Proportions 
1:58 




Squared Error of Regression Line 
6:47 






Introduction to Linear Regression 

Proof (Part 1) Minimizing Squared Error to Regression Line 
10:35 
Simple Linear Regression (Part 1), The Very Basics 
22:56 
Linear Regression 
4:31 
An
Introduction to Linear Regression Analysis 
2:14 
Linear Fit Demonstration 

Proof (Part 2) Minimizing Squared Error to Regression Line 
9:54 
Simple Linear Regression (Part 2), Algebra, Equations, and Patterns 
24:57 


An
Introduction to Regression Analysis 
4:41 
Partitioning the Sums of Squares 

Proof (Part 3) Minimizing Squared Error to Regression Line 
10:54 
Simple Linear Regression (Part 3), The Least Squares Method 
28:37 


How to Calculate Regression Equation Using Excel Statistics 
6:18 
Standard Error of the Estimate 

Proof (Part 4) Minimizing Squared Error to Regression Line 
4:18 
Simple Linear Regression (Part 4), Fit and the Coefficient of
Determination 
26:10 


How to Calculate Regression Equation, Rsquare, Using Excel Statistics 
6:52 
Inferential Statistics for b and r 

Regression Line Example 
9:27 




How to Calculate Linear Regression Using Least Squares Method 
8:29 
Influential Observations 

Rsquared or Coefficient of Determination 
12:41 




Standard Error of the Estimate Used in Regression Analysis (Mean Square
Error) 
3:41 
Regression Toward the Mean 

Second Regression Example 
9:15 








Calculating Rsquared 
9:45 




How to Calculate R Squared Using Regression Analysis 
7:41 


Covariance and the Regression Line 
15:08 
Understanding Covariance 
26:23 








The Covariance Matrix 
17:32 






Chisquare Distribution Introduction 
10:23 
Introduction to Chisquare Test 
37:39 
Chisquare Test for Goodness of Fit 
4:01 
How to Calculate Chisquare Goodness of Fit (One Way) 
9:33 
Chi Square Distribution 

Pearson's Chisquare Test (Goodness of Fit) 
11:48 
Quick Chisquare in SPSS 
18:26 
Chisquare Test for Independence 
3:54 
How to Calculate Chisquare Test for Independence (TwoWay) 
12:59 
OneWay Tables (Testing Goodness of Fit) 

Contingency Table Chisquare Test 
17:38 
Chisquare in Excel using College Enrollment Data 
41:35 




Testing Distribution Demonstration 









Contingency Tables 









2x2 Simulation 

ANOVA 1: Calculating SST (Total Sum of Squares) 
7:39 
ANOVA, a Visual Introduction 
24:18 
Introduction to ANOVA 
7:16 
How to Calculate and Understand ANOVA Ftest 
14:30 
Introduction to ANOVA 

ANOVA 2: Calculating SSW and SSB (Total Sum of Squares Within and
Between) 
13:20 
Oneway ANOVA (Part 1), A Visual Guide 
24:14 
OneWay ANOVA 
6:51 
How to Read F Distribution Table Used in ANOVA 
5:52 
Analysis of Variance Designs 

ANOVA 3: Hypothesis Test with Fstatistic 
10:14 
Oneway ANOVA (Part 2), Understanding the Calculation 
35:22 
Effect Size for OneWay ANOVA 
2:03 
How to Calculate ANOVA (Plugging Numbers Into Equation) 
9:57 
OneFactor ANOVA (Between Subjects) 



TwoWay ANOVA without Replication (Part 1), A Visual Guide 
37:36 
PostHoc Tests for OneWay ANOVA 
6:10 


Oneway ANOVA Demonstration 



TwoWay ANOVA without Replication (Part 2), The Calculation 
43:02 
RepeatedMeasures ANOVA 
9:03 


MultiFactor BetweenSubjects Designs 



Twoway ANOVA with Replication (Part 1), An Introduction 
34:15 
Factorial ANOVA, Two Independent Factors 
9:10 
How to Calculate a Two Way ANOVA (Factorial Analysis) 
18:02 
Unequal Sample Sizes 



Twoway ANOVA with Replication (Part 2A), Interactions 
18:28 
Factorial ANOVA, Two Dependent Factors 
13:38 
How to Interpret the Results of a Two Way ANOVA 
17:41 
Tests Supplementing ANOVA 



Twoway ANOVA with Replication (Part 2B), Marginal Means Graphs 
28:53 
Factorial ANOVA, Two Mixed Factors 
11:08 
Introduction to Two Way ANOVA 
8:01 
WithinSubjects ANOVA 









Power of WithinSubjects Designs Demonstration 

Correlation and Causality 
10:45 
Understanding Correlation 
27:06 
Correlation vs. Causation 
2:19 


Correlation 





Pearson's r Correlation 
4:03 


Causation 





Hypothesis Testing with Pearson's r 
2:58 


Introduction to Bivariate Data 





Spearman Correlation 
3:13 


Values of the Pearson Correlation 









Guessing Correlations 









Properties of Pearson's r 









Computing Pearson's r 









Range Restriction Demonstration 









Variance Sum Law II 









Sampling Distribution of Pearson's r 









All Pairwise Comparisons Among Means 









Specific Comparisons (Independent Groups) 









Difference Between Two Means (Correlated Pairs) 









Correlated t Demonstration 









Specific Comparisons (Correlated Observations) 









Pairwise Comparisons (Correlated Observations) 



Multiple Regression (Part 1), The Very Basics 
20:26 




Introduction to Multiple Regression 



Multiple Regression (Part 2), Preparation 
24:05 








Multiple Regression (Part 3A), Evaluating Basic Models 
25:17 








Multiple Regression (Part 3B), Evaluating Basic Models 
26:22 








Multiple Regression (Part 4), Dummy Variables 
20:59 








Multiple Regression (Part 5A), Two Categorical Variables 
18:34 








Multiple Regression (Part 5B), Two Categorical Variables 
18:03 








Logistic Regression, An Introduction 
11:26 








Logistic Regression Probability, Odds and Odds ratio 
13:03 








Logistic Regression, Logit and Regression Equation 
16:58 








Logistic Regression, Estimating the Probability 
11:22 








Logistic Regression, Odds Ratio for Any Interval 
24:47 








Logistic Regression in Excel/Google Sheets, PC/Mac 
10:10 








Permutations vs. Combinations 
21:00 




Hypergeometric Distribution 



Combinations 
20:54 
Combinations 
2:50 






Permutations 
19:04 
Permutations 
3:04 






CombinationsLosing Your Marbles 
28:43 








CombinationsDogs of the Dow 
28:50 








CombinationsNearly Normal 
23:45 








CombinationsUnder the Curve 
29:22 








Joint and Marginal Probabilities 
21:20 




Basic Concepts in Probability 



CombinationsPlaying with a Full Deck 
29:35 








Estimating Sample Size Requirements 
37:42 
Calculating Required Sample Size to Estimate Population Mean 
2:19 
How to Calculate Sample Size Proportions 
2:44 
Introduction to Power 





Calculating Required Sample Size to Estimate Population Proportions 
2:45 
How to Calculate Sample Size 
2:46 
Example Calculations (Power) 





Power 
6:23 


Power Demonstration 1 









Power Demonstration 2 









Factors Affecting Power 





Effect Size 
2:26 
How to Calculate Cohen d Effect Size 
4:50 






Effect Size for Dependent Samples tTest 
2:26 








Effect Size for Independent Samples tTest 
2:25 






Confidence Intervals for the Variance 
40:41 








Hypothesis Test for the Variance 
26:53 












How to Calculate Weighted Mean and Weighted Average 
2:17 






The Basics: Descriptive and Inferential Statistics 
2:51 


Descriptive Statistics 









Inferential Statistics 





Sampling Methods 
3:56 


Sampling Simulation 





Variable Measurement Scales 
2:43 


Measurement 









Basics of Data Collection 









Levels of Measurement 









Measurement Demonstration 





Bar Graphs and Pie Charts 
2:13 


Bar Charts 









Graphing Qualitative Variables 





Histograms and Stem & Leaf Plots 
5:35 


Stem and Leaf Displays 





Probability Histograms 
1:24 


Histograms 





Percentiles and Quartiles 
3:37 


Percentiles 





The Five Number Summary, Interquartile Range (IQR), and Boxplots 
3:31 


Box Plots 





Coordinate (Cartesian) Planes 
1:19 


Box Plot Demo 





Quadrants 
1:04 


Quantitative Variables 





Scatter Plots 
1:21 


Frequency Polygons 









Line Graphs 









Dot Plots 









QuantileQuantile (qq) Plots 









Contour Plots 









3D Plots 





The Effects of Outliers 
3:08 


Log Transformations 





Skewness 
1:36 


Tukey's Ladder of Powers 









BoxCox Transformations 





Statistical vs. Practical Significance 
2:02 


What are Statistics? 









Importance of Statistics 





Independent and Dependent Samples 
2:17 












Benefits of DistributionFree Tests 









Randomization Tests: Two Conditions 









Randomization Tests: Two or More Conditions 









Randomization Tests: Association (Pearson's r) 









Randomization Tests: Contingency Tables (Fisher's Exact Test) 





MannWhitney UTest 
4:36 


Rank Sum Randomization: Two Conditions (MannWhitney U, Wilcoxon Rank
Sum) 





Wilcoxon SignedRanks Test 
3:48 








The KruskalWallis Test 
5:20 


Rank Randomization: Two or More Conditions (KruskalWallis) 





The Friedman Test 
3:27 












Rank Randomization for Association (Spearman's p) 





Student's Tdistribution 
2:56 








Independent Samples Ttest 
6:53 








Dependent Samples Ttest 
4:59 








Confidence Intervals about the Mean, Population Standard Deviation Known 
4:30 












Summation 









Linear Transformations 









Logarithms 









Scientific Method 









Experimental Designs 









Sampling Bias 









Statistical Literacy (Introduction) 









Exercises (Introduction) 









Statistical Literacy (Research Design) 









Exercises (Research Design) 









Statistical Literacy (Normal Distribution) 









Exercises (Normal Distribution) 









Statistical Literacy (Hypothesis Testing) 









Exercises (Hypothesis Testing) 









Statistical Literacy (Tests of Means) 









Exercises (Tests of Means) 









Statistical Literacy (Power) 









Exercises (Power) 









Statistical Literacy (Regression) 









Exercises (Regression) 









Statistical Literacy (Transformations) 









Exercises (Transformations) 









Statistical Literacy (ANOVA) 









Exercises (ANOVA) 









Statistical Literacy (Chi Square) 









Exercises (Chi Square) 









Statistical Literacy (Effect Size) 









Exercises (Effect Size) 









Statistical Literacy (Distribution Free Tests) 









Exercises (Distribution Free Tests) 









Statistical Literacy (Sampling Distributions) 









Exercises (Sampling Distributions) 









Statistical Literacy (Estimation) 




