Statistics: The average
Statistics: Sample vs. Population Mean
Statistics: Variance of a population
Statistics: Sample variance
Statistics: Standard deviation
Statistics: Alternate variance formulas
Introduction to Random Variables
Probability density functions
Binomial Distribution
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Expected Value: E(X)
Expected value of binomial distribution
Poisson process 1
Poisson process 2
Law of large numbers
Normal distribution excel exercise
Introduction to the normal distribution
Central limit theorem
Sampling distribution of the sample mean
Sampling distribution of the sample mean 2
Standard error of the mean
Sampling distribution example problem
Mean and variance of Bernoulli distribution example
Bernoulli distribution mean and variance formulas
Margin of error 1
Margin of error 2
Confidence interval example
Small sample size confidence intervals
Hypothesis testing and p-values
One-tailed and two-tailed tests
Z-statistics vs. T-statistics
Type 1 errors
Small sample hypothesis test
T-statistic confidence interval
Large sample proportion hypothesis testing
Variance of differences of random variables
Difference of sample means distribution
Confidence interval of difference of means
Clarification of confidence interval of difference of means
Hypothesis test for difference of means
Comparing population proportions 1
Hypothesis test comparing population proportions
Squared error of regression line
Proof (part 1) minimizing squared error to regression line
Proof (part 3) minimizing squared error to regression line
Proof (part 4) minimizing squared error to regression line
Regression line example
Proof (part 2) minimizing squared error to regression line
R-squared or coefficient of determination
Second regression example
Calculating R-squared
Covariance and the regression line
Chi-square distribution introduction
Pearson's chi square test (goodness of fit)
Contingency table chi-square test
ANOVA 1: Calculating SST (total sum of squares)
ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)
ANOVA 3: Hypothesis test with F-statistic
Correlation and causality | Statistical studies