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DAV, fasdf - Coggle Diagram
DAV
Probability Distributions and Inferential Statistics
Common Distributions
Pareto/Power Law Distribution
Properties
Mean and Variance
Real-world Examples
Multinomial Distribution
Properties
Mean and Variance
Real-world Examples
Gaussian (Normal Distribution)
Properties
Mean, Variance, Standard Deviation
Real-world Examples
Bernoulli Distribution
Properties
Mean and Variance
Real-world Examples
Log-normal Distribution
Properties
Mean and Variance
Real-world Examples
Probability Density Function (PDF)
Definition
Examples
Applications
Probability Mass Function (PMF)
Definition
Examples
Applications
Cumulative Distribution Function (CDF)
Definition
Examples
Applications
Percent Point Function (PPF)
Definition
Examples
Applications
Inferential Statistics
Confidence Interval Estimates
Definition
Calculation
Interpretation
Examples
Central Limit Theorem (CLT)
Statement
Proof (Brief)
Applications
Examples
Probability Theory and Descriptive Statistics
Probability
Bayes Theorem
Conditional Probability
Joint Probability
Marginal Probability
Combinatorics
Permutations
Formula: nPr = n! / (n-r)!
Combinations
Formula: nCr = n! / [r!(n-r)!]
Descriptive Statistics
Measures of Central Tendency
Mean
Arithmetic Mean
Definition
Examples
Weighted Mean
Definition
Examples
Median
Calculation Method
Median in Different Data Distributions
Use Cases
Mode
Calculation
Mode in Different Data Distributions
Use Cases
Measures of Dispersion
Percentile
Calculation
Interpretation
Percentiles in Real-world Data
Interquartile Range (IQR)
Calculation
Interpretation
Applications
Outlier Detection
Methods
Z-scores
Calculation
Interpretation
IQR Method
Calculation
Interpretation
Analysis of Variance (ANOVA)
Interpretation of Results
p-value
F-statistic
One-way ANOVA
Assumptions
Steps
Examples
Two-way ANOVA
Assumptions
Steps
Examples
Exploratory Data Analysis (EDA)
Data Preprocessing
Handling Missing Values
Deletion Methods
Listwise Deletion
Definition
Examples
Pairwise Deletion
Definition
Examples
Imputation Methods
Mean/Median/Mode Imputation
Definition
Examples
Predictive Imputation
Definition
Methods (e.g., Linear Regression)
Examples
K-Nearest Neighbors (KNN) Imputation
Definition
Steps
Examples
Multiple Imputation
Definition
Steps
Examples
Column Normalization
Min-Max Scaling
Definition
Formula
Examples
Max Abs Scaling
Definition
Formula
Examples
Standardization
Z-score Standardization
Definition
Formula
Examples
Mean Normalization
Definition
Formula
Examples
Covariance
Definition
Calculation
Interpretation
Examples
Correlation
Pearson Correlation
Definition
Formula
Calculation
Interpretation
Examples
Spearman Rank Correlation
Definition
Formula
Calculation
Interpretation
Examples
Hypothesis Testing
Chi-square Test
Chi-square Test of Independence
Assumptions
Steps
Examples
Chi-square Goodness of Fit
Assumptions
Steps
Examples
Z-test
One-sample Z-test
Assumptions
Steps
Examples
Two-sample Z-test
Assumptions
Steps
Examples
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