
Introduction
Introduction to Course Contents
Introduction to Statistics
Branches of Statistics
Population vs. Sample
Is Sample a true representative of population or not?
Parameter vs. Statistic
Data and its Types
Editing of Data
Types of Data
Primary data
Secondary data
Quantitative data
Qualitative data
Discrete data
Continuous data
Variable vs. Constant
Types of Variables
Dependent or Responding Variable
Independent and Explanatory Variable
Discrete Variable
Continuous Variable
Quantitative Variable
Qualitative Variable
Categorical or Nominal Variable
Confounding Variable
Endogenous Variable
Exogenous Variable
Binary or Dichotomous Variable
Random Variable
Intervening Variable
Census
Introduction
Classification
Types of Classification
Attributive or Qualitative Classification (Simple Classification)
Attributive or Qualitative Classification (Two way Classification)
Quantitative Data:
(i) Arrayed data or series of individual observations
(ii) Discrete Data or Discrete Frequency Distribution
(i) Frequency Distribution of Grouped Data
Class Boundaries
Inclusive Class & Exclusive Class
Class Mark
Cumulative Frequency
Height of the Class/ Class Interval
Graphical Presentation of the Data
Bar Diagrams
Simple Bar Diagram or Chart
Multiple Bar Diagram/Chart
Sub-divided Bars or Component Bar Chart
Rectangles
Pie Diagram
Historigram
Statistical Data & Graphs or Graphs of Frequency Distribution
Histogram
Frequency Polygon
Cumulative Frequency Polygon
Introduction to Measures of Central Tendency
Characteristics or Essentials of a Good Average
Types of Averages
Arithmetic Mean
Properties of Arithmetic Mean
Formulas for Arithmetic Mean for Ungrouped & Grouped Data
Calculation of Arithmetic Mean for Ungrouped Data
Calculation of Arithmetic Mean for Grouped Data
Weighted Mean & its Calculation
Trimmed Mean & its Calculation
Winsorized Mean & its Calculation
Median
Calculation of Median for Ungrouped Data
Calculation for Median for Grouped Data
Calculation for Median for Grouped Data
Mode
Calculation of Mode for Ungrouped Data
Calculation for Mode for Grouped Data
Calculation for Mode for Grouped Data
Empirical Method for Mode & its Calculation
Harmonic Mean, its Formulas & Calculation for ungrouped data
Harmonic Mean & its Calculation for Grouped Data
Geometric Mean, its Formulas & Calculation for ungrouped data
Calculation of Geometric Mean, Mean & Harmonic Mean for Grouped Data
Quartiles, Deciles, Percentiles
Formulas for Quartiles for Ungrouped & Grouped Data
Formulas for Deciles & Percentiles for Ungrouped & Grouped Data
Calculation of Quartiles, Deciles & Percentiles for Ungrouped Data
Calculation of Quartiles, Deciles & Percentiles for Grouped Data
Introduction to Measures of Dispersion
Absolute Measures of Dispersion
Relative Measures of Dispersion
Various Absolute & Relative Measures of Dispersion
Range
Absolute Range
Coefficient of Range
Calculation of Range and Coefficient of Range for ungrouped data
Calculation of Range and Coefficient of Range for Grouped data
Calculation of Range and Coefficient of Range for Grouped data
Quartile Deviation or Semi Inter Quartile Range
Formulas for Absolute & Relative measures Quartile Deviation or Semi Inter Quartile Range
Calculation of Quartile Deviation or Semi Inter Quartile Range & Coefficient of Quartile Deviation for ungrouped data
Calculation of Quartile Deviation or Semi Inter Quartile Range & Coefficient of Quartile Deviation for Grouped data
Mean Deviation
Mean Deviation from Mean & Coefficient Formulas
Mean Deviation from Median & Coefficient Formulas
Mean Deviation from Mode & Coefficient Formulas
Mean Deviation through Mean, Median & Mode & their respective coefficients Ungrouped Data
Mean Deviation through Mean, Median & Mode & their respective coefficients Grouped Data
Standard Deviation & Variance
Properties of Standard Deviation
Formulas for Standard Deviation & Coefficient of Standard Deviation (Both Ungrouped Data & Grouped Data)
Formulas for Variance & Coefficient of Variation (Both Ungrouped Data & Grouped Data)
Calculation of Standard Deviation, Variance & their Coefficients for ungrouped Data
Calculation of Standard Deviation, Variance & their Coefficients for Grouped Data
Symmetry & Skewness
Positive Skewness
Negative Skewness
Karl Pearson Coefficient of skewness Formula 1
Karl Pearson Coefficient of skewness Formula 2
Bowley’s Coefficient of skewness
Calculation of absolute skewness & Coefficient of Skewness in ungrouped data
Calculation of absolute skewness & Coefficient of Skewness in Grouped data
Moments & Kurtosis
Moments about Mean (Formulas)
Moments about Orihin or Zero (Formulas)
Moments about Provisional Mean or Arbitrary Value (Non Central Moment) Shortcut Method
Moments about Provisional Mean or Arbitrary Value (Non Central Moment) Coding or Step Deviation Method
Calculation of moments and Kurtosis related to Grouped Data
§ Initial Introduction
§ Introduction of Index Numbers
§ Simple & Composite Index
§ Types of Index Numbers
§ Price Index
§ Quantity Index
§ Weighted & Aggregative Index
§ Steps in construction of index numbers
§ Difference between weighted & un-weighted index numbers
§ Important uses of index numbers
§ Diagrammatical Representation of Methods & Types
§ Diagrammatical Representation of Weighted & Un-weighted Index
§ Difference between fixed base and chain base
§ Formulas & Calculations
§ Calculation of Simple Index Number (Fixed Base method)
§ Calculation of Simple Index Number (Fixed Base method)
§ Calculation of Simple Index Number (Fixed Base method)
§ Calculation of Simple Index Number (Fixed Base method)
§ Calculation of Simple Index Number (Chain Base method)
§ Composite Index Un-weighted Methods
§ Calculation of composite index number (Aggregative method)
§ Calculation of composite index number (average of relative method using price relative)
§ Calculation of composite index number (average of relative method using Chain index)
§ Calculation of composite index number (average of relative method using Chain index)
§ Calculation of composite index number (average of relative method using Chain index)
§ Composite Index Weighted Methods
§ Calculation of weighted index through all five methods
(1) Laspeyre’s index or Base year weighted
(2) Paasche’s index or current year weighted
(3) Fisher’s Ideal index
(4) Marshal Edgeworth’s index
(5) Walsh index
§ Consumer price index (CPI)
§ Methods of Calculation Consumer Price Index
§ Aggregative Expenditure Method
§ Family Budget Method
§ Calculation of Consumer’s Price Index number through Aggregative Expenditure Method & Family Budget Method
§ Introduction of the Chapter
§ Types of Correlation
§ Positive
§ Negative
§ Perfectly Positive
§ Perfectly Negative
§ Zero or No Correlation
§ Properties of Correlation
§ Uses of Correlation
§ Coefficient Calculation of Correlation (Formula 1)
§ Calculation of Correlation Coefficient (Formula 2)
§ Calculation of Correlation Coefficient (Formula 3)
§ Calculation of Correlation Coefficient (Formula 4)
§ Calculation of Correlation Coefficient (Other Formulas)
§ Rank Correlation
§ Assumptions of Rank Correlation
§ Methods to Calculate Rank Correlation Coefficient
§ Spearman’s Rank Correlation Coefficient
§ Kendall Tau-b Rank Correlation Coefficient
§ Goodman & Kruskal’s Gamma Coefficient of Rank Correlation
§ Spearman’s Rank Correlation Coefficient (Calculation with data has no ties)
§ Spearman’s Rank Correlation Coefficient (Calculation with data has ties)
§ Kendall Tau-b Rank Correlation Coefficient (Calculation)
§ Kendall Tau-b Rank Correlation Coefficient (Calculation)
§ Goodman & Kruskal’s Gamma Coefficient of Rank Correlation (Calculation)
§ Goodman & Kruskal’s Gamma Coefficient of Rank Correlation (Calculation)
§ Understanding Simple Regression
§ Understanding Multiple Regression
§ Standard Error of Estimate
§ Coefficient of Determination
§ Formulas of Simple Linear Regression
§ Simple Linear Regression (Calculation)
§ Standard Error of Estimate (Calculation)
§ Coefficient of Determination (Calculation)
§ Interpretation of results of Correlation Coefficient
§ Multiple Regression
Multiple Regression using Combined Correlation Method (Calculation)
Standard Error of estimate in Multiple Regression (Calculation)
Coefficient of Determination in Multiple Regression (Calculation)
Interpretation of Results
Tally With Excel Results
§ Introduction of the Chapter
§ Time Series Introduction
§ Historigram
§ Signal & Noise
§ Uses of Time Series
§ Components of Time Series
§ Secular Trend
§ Seasonal Variation
§ Cyclical Variation
§ Irregular Variation
§ Additive Model
§ Multiplicative Model
§ Measurement of Secular Trend
§ Free Hand Curve Method
§ Measurement of Secular Trend (Method of Semi Average) Calculation
§ Measurement of Secular Trend (Method of Semi Average) Calculation
§ Measurement of Secular Trend (Method of Moving Average) Calculation
§ Measurement of Secular Trend (Method of Least Square) Calculation
§ Measurement of Secular Trend (Method of Least Square) Calculation
§ Measurement of Secular Trend (Method of Least Square Changing Origin) Calculation
§ Measurement of Secular Trend (Method of Least Square Changing Origin) Calculation
§ Measurement of Seasonal Variation
§ Measurement of Seasonal Variation (Simple Average Method) Calculation
§ Measurement of Seasonal Variation (Link Relative Method) Calculation
§ Measurement of Seasonal Variation (Ratio to Moving Average Method) Calculation
§ Measurement of Seasonal Variation (Ratio to Trend Method) Calculation
Deseasonalization under Multiplicative Law
Deseasonalization under Additive Law
Explore practical probability by counting marbles, dice outcomes, and coin tosses, using sample spaces and events to compute simple probabilities for white, orange or red, and not red or blue.
Explore the multiplicative laws of probability derived from conditional probability, including probability of intersection and the impact of independence, with an example of at least two players hitting six.
Explore probability distribution concepts, including binomial and hypergeometric models, and define the random variable. Apply discrete probability function properties to a defective boards example with p(defective)=1/5.
Explore the hypergeometric distribution, where success probability changes in sampling without replacement. Derive its mean and variance and apply to real problems, comparing it with binomial distribution.
Explore sampling with replacement from a two-letter population to compute proportions, build the sampling distribution, and verify mean, variance, and standard deviation against population parameters.
Welcome to Complete Statistics for Business Analysis and Data Science + Practical questions!
This course has been designed from Scratch to Advanced level.
Fundamentals of Statistics
Learn about Statistics including important statistic business terms.
Presentation Of Data & Data Distribution, Measurements Of Central Tendency including Arithmetic Mean, Median, Mode, Harmonic Mean, Geometric Mean, Winsorized Mean, Trimmed Mean, Quartiles, Deciles & Percentiles.
Detailed Data Distribution Measures of Dispersion including absolute measures of dispersion and relative measures of dispersion , Range, Coefficient of Range, Quartile Deviation, Coefficient of Quartile Deviation, Mean Deviation through Mean, Median and Mode, Coefficient of Mean Deviation Median Deviation & Mode Deviation, Standard Deviation & Coefficient of Standard Deviation, Variance & Coefficient of Variation.
Learning Skewness and its measures & Kurtosis
Learn Correlation simple, Ranked and combined, Regression simple and Multiple.
Regression, including scatterplots, correlation coefficient
Numbers simple and composite including simple and chain index, weighted and un-weighted index & Consumer Price Index
Time series Analysis including semi average method, moving average, 4 quarter moving average centered, least square method, decomposition, ratio to moving average .
Probability
All with Practical Questions
YOU'LL ALSO GET:
Lifetime access to Complete Statistics for Business Analysis and Data Science
Friendly support in the Q&A section
Udemy Certificate of Completion available for download
30-day money back guarantee
Who this course is for:
People who want a career in Data Science
People who want a career in Business Intelligence
Business analysts
Business executives
Research Analysis
Individuals who are passionate about numbers and quant analysis
Anyone who wants to learn the subtleties of Statistics and how it is used in the business world
People who want to start learning statistics
People who want to learn the fundamentals of statistics
Students, I hope you will enjoy the course as much as I have wile designing the course. Students if you have any questions related to topics mentioned above kindly leave in the comments feedback section below.
Enroll Now to start the journey!
Best Regards
Iftikhar A.