 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.     Statistics Matrix in Arabic   Statistics Matrix in English 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 non-profit organization which utilizes a computerized blackboard to illustrate each step of a problem. "Our mission to provide a world-class education for anyone, anywhere." Brandon Foltz has a masters in Education and a passion for sharing knowledge. "My videos are full-length 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 Houston-Clear 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 (n-1) 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: Z-score 7:48 Understanding Z-scores 22:57 Z-scores (Part One) 3:03 An Introduction to Z-scores 3:53 History of the Normal Distribution Z-scores (Part Two) 4:01 How to Calculate Z-scores 3:51 Areas Under Normal Distributions How to Calculate Normalized Z-score 7:15 Varieties Demonstration How to Look Up Normalized Tables Z-scores Standard Normal Curve Table 7:34 Standard Normal Distribution How to use Normalized Tables Z-score (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 Z-score Practice 5:57 Exra Z-score Problems 4:54 An Example of how to Z-score 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 p-values 11:27 Introduction to Hypothesis Formulation 21:09 Null and Alternative Hypotheses 2:42 P-values, Z-scores, Alpha, Critical Values 5:37 Significance Testing Null and Alternative Hypotheses-Part 1 22:17 User Submitted Question: Alpha Levels 2:26 Introduction to Hypothesis Testing Null and Alternative Hypotheses-Part 2 18:10 Interpreting Significant Results Interpreting Non-Significant Results Steps in Hypothesis Testing Significance Testing and Confidence Intervals Misconceptions in Hypothesis Testing Sampling Distribution of p One-tailed and Two-tailed Tests 6:34 One-Tailed and Two-Tailed Tests 2:06 How to Calculate One Tail and Two Tail Tests for Hypothesis Testing 4:34 One- and Two-Tailed Tests Z-statistics vs. T-statistics 6:40 To Z or to T, That is the Question 38:17 Type I Errors 3:24 Type I and Type II Errors-Part 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 Errors-Part 2 24:04 Robustness Simulation Visualizing Type I and Type II Error 37:43 Calculating Type II Error-Part 1 23:39 Calculating Type II Error-Part 2 20:57 Controlling Type II Error Using Sample Size 38:10 Small Sample Hypothesis Test 9:04 Single Sample Hypothesis Z-test-Part 1 19:09 One Sample Z-test 6:17 Testing a Single Mean Single Sample Hypothesis Z-test-Part 2 15:17 One Sample Z-test for Proportions 6:08 Confidence Interval on the Mean Single Sample Hypothesis Z-test-Part 3 16:11 Single Sample Hypothesis T-test-Part 1 25:41 One Sample T-test 4:49 How to Calculate T Distributions 5:47 t Distribution Single Sample Hypothesis T-test-Part 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 T-statistic Confidence Interval 11:47 Confidence Intervals for Independent Samples T-test 2:54 Confidence Intervals for Dependent Samples T-test 2:33 Large Sample Proportion Hypothesis Testing 14:31 Variance of Differences of Random Variables 10:47 Two Populations, Z-test with Hypothesis 26:37 Difference Between Two Means (Independent Groups) Two Populations, T-test with Hypothesis 33:58 Two Populations, Matched Sample T-test 34:28 F-ratio Test for Two Equal Variances 18:03 F-ratio 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 Unknown-Part 1 27:15 Z-test for Proportions, Two Samples 4:05 Proportions Hypothesis Test Comparing Population Proportions 16:13 Confidence Intervals, Population Deviation Unknown-Part 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, R-square, 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 R-squared 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 R-squared 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 Chi-square Distribution Introduction 10:23 Introduction to Chi-square Test 37:39 Chi-square Test for Goodness of Fit 4:01 How to Calculate Chi-square Goodness of Fit (One Way) 9:33 Chi Square Distribution Pearson's Chi-square Test (Goodness of Fit) 11:48 Quick Chi-square in SPSS 18:26 Chi-square Test for Independence 3:54 How to Calculate Chi-square Test for Independence (Two-Way) 12:59 One-Way Tables (Testing Goodness of Fit) Contingency Table Chi-square Test 17:38 Chi-square 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 F-test 14:30 Introduction to ANOVA ANOVA 2: Calculating SSW and SSB (Total Sum of Squares Within and Between) 13:20 One-way ANOVA (Part 1), A Visual Guide 24:14 One-Way ANOVA 6:51 How to Read F Distribution Table Used in ANOVA 5:52 Analysis of Variance Designs ANOVA 3: Hypothesis Test with F-statistic 10:14 One-way ANOVA (Part 2), Understanding the Calculation 35:22 Effect Size for One-Way ANOVA 2:03 How to Calculate ANOVA (Plugging Numbers Into Equation) 9:57 One-Factor ANOVA (Between Subjects) Two-Way ANOVA without Replication (Part 1), A Visual Guide 37:36 Post-Hoc Tests for One-Way ANOVA 6:10 One-way ANOVA Demonstration Two-Way ANOVA without Replication (Part 2), The Calculation 43:02 Repeated-Measures ANOVA 9:03 Multi-Factor Between-Subjects Designs Two-way 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 Two-way 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 Two-way ANOVA with Replication (Part 2B), Marginal Means Graphs 28:53 Factorial ANOVA, Two Mixed Factors 11:08 Introduction to Two Way ANOVA 8:01 Within-Subjects ANOVA Power of Within-Subjects 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 Combinations-Losing Your Marbles 28:43 Combinations-Dogs of the Dow 28:50 Combinations-Nearly Normal 23:45 Combinations-Under the Curve 29:22 Joint and Marginal Probabilities 21:20 Basic Concepts in Probability Combinations-Playing 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 t-Test 2:26 Effect Size for Independent Samples t-Test 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 Quantile-Quantile (q-q) Plots Contour Plots 3D Plots The Effects of Outliers 3:08 Log Transformations Skewness 1:36 Tukey's Ladder of Powers Box-Cox Transformations Statistical vs. Practical Significance 2:02 What are Statistics? Importance of Statistics Independent and Dependent Samples 2:17 Benefits of Distribution-Free 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) Mann-Whitney U-Test 4:36 Rank Sum Randomization: Two Conditions (Mann-Whitney U, Wilcoxon Rank Sum) Wilcoxon Signed-Ranks Test 3:48 The Kruskal-Wallis Test 5:20 Rank Randomization: Two or More Conditions (Kruskal-Wallis) The Friedman Test 3:27 Rank Randomization for Association (Spearman's p) Student's T-distribution 2:56 Independent Samples T-test 6:53 Dependent Samples T-test 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)