Statistics 100 Hours Certificate Course

There are 10 lessons:

I Introduction

• Data
• Variables
• Measurements of Scale
• Data presentation
• Samples
• Probability
• Rounding of data
• Scientific Notation
• Significant figures
• Functions
• Equations
• Inequalities
• The Normal Curve
• Data Collection: Simple random sampling, Systematic Random Sampling, Stratified Random Sample, Cluster Random Sampling
• A Word of Encouragement

2 Distributions

• Introduction
• Class Intervals and Limits
• Class Boundaries
• General Rules for creating a Frequency Distribution
• Histograms
• Frequency Polygon
• Cumulative Frequency Polygon
• Normal Distributions
• Other Distributions
• Frequency Curves

3 Measures of Central Tendency

• Mesures of Central Tendency
• Deviation or Variance
• Standard Deviation
• Degrees of Freedom
• Interquartile and Semi-interquartile Deviations
• Example

4 The Normal Curve, Percentiles and Standard Scores

• Normal Distribution
• Normal Distribution Characteristics
• Worked Example
• Percentiles
• Standard Scores (Z Scores and T Scores)
• Z Score
• T Score
• Converting Standard Scores to Percentiles
• Area under a curve
• Table of Normal Distribution
• Worked Example

5 Correlation

• Introduction
• Some Points about Correlation
• Scatterplots
• Product Moment For Linear Correlation Coefficient (Product Moment Formala)
• Rank Correlation (Spearman's Formula For Rank Correlation)
• Multiple Correlation

6 Simple Linear Regression

• Regression
• Calculating Regression Equation With The Correlation Coefficient
• Worked Example
• Least Squares Method
• Worked Example
• Standard Error of the Estimate

7 Inferential Statistics

• Introduction
• Hypothesis Testing
• Test for a Mean
• Errors in accepting or rejecting null hypothesis
• Levels of significance
• One and Two tailed tests
• Sampling Theory
• Sampling distribution of the mean
• Central Limit Theorem
• Confidence Intervals
• Confidence Intervals for the Mean

8 The t Test

• Assessing Statistical Difference With the t Test
• t Test for Independent Samples
• Worked Example
• t Test for Dependent (Paired) Samples
• Worked Example
• Student t Test Probabilities

9 Analysis of Variance (ANOVA)

• Introduction
• Factors & Levels
• Worked Example: Hypothesis, Calculate the Degrees of Freedom, Calculate the Sum of Squares for within and between Groups, Calculate Mean Square

10 Chi-Square

• Introduction
• Chi-Square Goodness-of-Fitness Test
• Worked Example: Calculate Chi Squared, Calculate Degrees of Freedom
• Chi-Square Test of Independence (Pearson's Chi-Square)
• 2 x 2 Contingency Tables: Calculate the Expected Frequencies, Degrees of Freedom
• H x K Contingency Tables (With H Rows and K Columns): Finding the Expected Frequencies, Degrees of Freedom