Data Distribution
Understanding Data Distribution
Statistics
Statistics for AI & ML
This course includes
9 articles
54 mins reading time
28 videos • 8 hr 39 mins
Course content
9 sections • 83 topics • Read: 54 mins • Video: 8 hr 39 mins
Data Distribution
Measures of Central Tendency
Mean
Median
Mode
Measures of Dispersion(Spread)
Range
Variance
Standard Deviation
Mean Absolute Deviation
Skewness
Kurtosis
Measures of Position
Percentile
Quartile
Inter Quartile Range(IQR)
Outlier Detection
Anscombe's Quartet
Measure of Central Tendency | Mean, Median & Mode | Explained with Example
Measures of Data Spread | Range | Variance | Standard Deviation| Skewness | Kurtosis | Explained
Measures of Position | Percentile | Quartile | Inter Quartile Range | Explained with Example.
Exploratory Data Analysis |Measure of Central Tendency | Measure of Dispersion | Measure of Position
Correlation
Covariance
Correlation
Pearson Correlation Coefficient (r)
Spearman Rank Correlation Coefficient (\(\rho\))
Correlation Application
Correlation Vs Causation
Covariance Explained | Direction of Relationship Between Two Variables | Explained with Example
Correlation | Pearson Correlation Coefficient | Spearman's Rank Correlation Coefficient | Explained
Correlation vs Causation Explained | Why Correlation Does NOT Mean Causation
Central Limit Theorem
Population Mean
Sample Mean
Law of Large Numbers
Central Limit Theorem
Central Limit Theorem | Standard Error | Explained with Intuition, Formula & Example
Confidence Interval
Confidence Interval
Meaning of Confidence Interval
Confidence Interval | Real Meaning of "95% Confidence" | Explained with Example
Hypothesis Testing
Hypothesis
Hypothesis Testing
Types of Hypothesis Testing
Framework for Hypothesis Testing
Left or Right Sided (Tailed) Test
Significance Level (\(\alpha\))
Critical Value
Power of Test
P-Value
Effect Size
Hypothesis Testing | Null Hypothesis | Alternate Hypothesis | Types of Hypothesis Test | Explained
Framework for Hypothesis Testing | Null & Alternate Hypothesis | P Value | Explained with Example
Left Tailed | Right Tailed | Two Tailed or Sided HypothesisTest | Explained with Example
Power of a Test in Hypothesis Testing | Explained with Example
Understanding Effect Size | Cohen’s d - How big is the effect | Hypothesis Testing | Explained
T-Test
T-Test
Student's t-distribution
Degrees of Freedom (\(\nu\))
1-Sample T-Test
2-Sample T-Test
Student’s T Test | T Distribution | Degrees of Freedom | Hypothesis Testing | Explained with Example
1 Sample T Test | Hypothesis Testing | Explained with Example
2-Sample T Test for Equal & Unequal Variance | Welch's T Test | Hypothesis Testing | Explained
Z-Test
Z-Test
Z-Score
1-Sample Z-Test
2-Sample Z-Test
Z Test of Proportion
Sampling Distribution of a Proportion
1-Sample Z-Test of Proportion
2-Sample Z-Test of Proportion
Z-Score | Gaussian Distribution | Hypothesis Testing | Explained with Example
Z Test | Gaussian Distribution | Standard Error | Hypothesis Testing | Explained with Example
Z test of Proportion | Gaussian Distribution | Hypothesis Testing | A/B Testing | Example
Chi-Square Test
Chi-Square Distribution (\(\chi^2\))
Degrees of Freedom (\(\nu\))
Central Limit Theorem
Sampling Distribution of Counts
Chi-Square (\(\chi^2\)) Test Statistic
Name of Test
Chi-Square (\(\chi^2\)) Test
Test of Goodness of Fit
Other Goodness of Fit Tests
Test of Independence
What is Chi-Square Distribution? | Properties | Explained with Maths
Chi- Square (χ²) Test Statistic for Categorical Data | Hypothesis Testing
Chi-Square Goodness of Fit Test | Chi- Square Test | Hypothesis Testing | Explained with Example
Test of Independence | Chi- Square Test | Hypothesis Testing
Performance Metrics
Performance Metrics
Confusion Matrix
Important Metrics
Receiver Operating Characteristic (ROC) Curve
Precision-Recall Curve
Confusion Matrix in Machine Learning | False Positive (Type 1 Error) | False Negative (Type 2 Error)
Precision | Recall | F1 Score | Confusion Matrix | Explained with Example
Receiver Operating Characteristic | ROC Curve | Issue with Imbalanced Data | Explained With Example
Precision Recall Curve | AU PRC | Relation to ROC
Correlation
Covariance & Correlation
Central Limit Theorem
Central Limit Theorem
Confidence Interval
Confidence Interval
Hypothesis Testing
Hypothesis Testing
T-Test
Student’s T-Test
Z-Test
Z-Test
Chi-Square Test
Chi-Square Test
Performance Metrics
Performance Metrics