Data, Description & Measurement Scales
  • Concept of Statistical Description of Data
  • Application of Data
  • Categorical and Continuous data_ Nominal, Categorical, Interval & Ration Scales
  • Variance & Bessel's Correction
  • Fence_Wiskers_Inter Quartile Range_Outliers
  • Covariance
  • Population vs Sample mean
  • Stem & Leaf display
  • Valid & Reliable Data
  • Questionnaire Building
Visualisation of Data
  • Simple and Multiple line chart
  • Different types of Bar Diagrams
  • Video explanation: Application of Bar charts
  • Pie Chart
  • Tabulation and its guidelines
  • The Secret Locker & Key problem
  • Concept of Frequency Distribution
  • Important terms related to Frequency Distribution
  • Graphical representation of Frequency Distribution, and HISTOGRAM
  • Calculation of MODE from Histogram
  • Frequency Polygon
  • Ogives & Calculation of Median
  • Ogives (continued)
  • Types of Frequency curves
Dispersions
  • Measurement of Dispersions
  • Range & coefficient of Range
  • Quartile Deviation & coefficient of Q.D
  • Calculating QD for open ended C.I when cumulative frequency is given
  • concept of Mean Deviations & coefficients of M.D
  • Calculating M.D & Coefficient of M.D
  • Standard Deviation
  • Standard Deviation explained with animation
  • Composite standard deviation
  • Coefficient of variance
  • Are you a selector of your national cricket team? Batsman Problem
  • CV- missing frequency problem
  • calculating correct mean & SD from Wrong mean & wrong S.D
Calculation of Population Mean & Standard Deviation
  • Expected Value of Random Variable (Population Mean & SD calculation)
  • Calculating Expected Value of Random Variable
Correlation Analysis
  • Concept of Correlation Analysis
  • Scattered Diagram
  • Karl Pearson's Correlation coefficient
  • Karl Pearson's solved problem
  • Karl Pearson's solved problem-2
  • Covariance & KP correlation coefficient
  • Spearmans rank Correlation Coefficient
  • Spearman's Correlation Solved problem
  • Coefficient of Concurrent Deviation
Regression Analysis & Predictive Modelling
  • Concept and types of Regression Analysis
  • Linear Regression
  • Minimum Least Square Method (MLSM)
  • Calculating coefficients values
  • Ascombe's Quartet
  • Regression Equations- x on y & y on x
  • Solved Problem-1
  • Predicting mom's height based on daughter's height
  • Solved problem-2
  • Calculating correlation coefficient of POPULATION (Probable Error)
  • Solved Problem of Probable Error
  • Coefficient of Determination & Non- Determination
Probability Distribution
  • Concept of data distribution
  • Uniform Distribution
  • Binomial Distribution
  • Application of Binomial Distribution
  • Poison Distribution
  • Application of Poison Distribution
  • Poisson Distribution: Partial Interval
  • Normal Distribution,Standard Normal Distribution & formulae
  • Normal Distribution & Standard Normal Distribution
  • Z-Score & solving Business problems
Hypothesis Testing
  • Concept of Hypothesis Testing
  • Burden of proof
  • Standard Error
  • Why do we need Hypothesis testing?
  • Difference between Std Error & std Deviation
  • Type1 & Type 2 errors
  • Forming Hypothesis correctly
  • Examples-Forming Null & Alternate Hypothesis
  • Lower, Upper & 2 tailed Test
  • How to prove Hypothesis
  • What if researchers set 0% error?
Chi- Squared Analysis: Non- Parametric Test
  • Concept of Chi-Squared Test
  • CS2-Further clarification of Chi-Squared Test
  • Understanding Chi- Square Test Hypothesis
  • Solved Problem 1
  • Solved Problem 2
ANOVA: Parametric Test
  • Concept of ANOVA
  • Degree of Freedom
  • How to prove Hypothesis in ANOVA
  • Calculating F cal Value