Descriptive Statistics for Data Science (DSM- 1001)

I'm very very thankful to

Professor Aquil Ahmad
Department of Statistics and Operation Research
Aligarh Muslim University , Aligarh(202002)

In this file I have discussed on the foloowing topics :

Unit - I

Graphs :

1. Line Diagram
2. Bar Diagram
3. Histogram
4. Pie Chart
5. Dot Diagram
6. Box Plot
7. Stem and Leaf, dot plot

Measures of Central Tendency

1. Arithmetic Mean
2. Median
3. Mode

Variability

1. Range
2. Quartile Deviation
3. Mean Deviation
4. Variance
5. Standard Deviation

Skewness Kurtosis

Unit - II

Measures of Association

1. Correlation
2. Scatter Plot
3. Karl Pearsons’s Correlation coefficient
4. Rank Correlation 5.Partial Correlation
5. Multiple Correlations

Regression analysis

• Covariance Matrix
• Correlation Matrix

Attributes

Unit III

Hypothesis Testing :

• Formulation of Statistical Hypothesis

1. Z-Test

• Test of Proportions
• Test of Mean

2. t-test

• Single Mean Test
• Independent Sample t-test
• Paired Sample t-test

3. $\chi^2$- test

• Goodness of Fit
• test of
• Test of Independence of Attributes
• Tests of population variances

Confidence Limits and Confidence Intervals.

Unit IV

ANOVA

1. One way ANOVA
2. Two way ANOVA

Non-Parametric Tests

1. Sign Test
2. Mann-Whiney U Test (Rank Sum Test)