Statistics-for-Data-Science

Statistics for Data Science and Machine Learning Handwritten Notes

Types of Statistics:

1) Descriptive statistics:

It includes analyzing, summarizing, organizing data in the form of numbers and graphs.

Types: Measure of central tendency- Mean, mode, median Measure of dispersion- range, variance, standard deviation

Graphs: bar plot, histogram, pie chart, pdf, cdf, normal distribution etc.

Here we take population or sample data and analyze, summarize, explore , visualize the data in the form of number and graphs.

2) Inferential statistics:

It is a technique wherein we use the data that we have measured to form conclusions.

eg: To get exit poll results during elections, we can take different samples from different locations from entire population , we are taking some sample and make inferences about population and coming to a conclusion like which party will win.

We take a sample from population and then we try to do some kind of test and then we come up with some inference and conclusion for that population.

It includes confidence interval , z- test, t-test, chi-square test etc.

Topics Covered in Hand Written Notes are:-

• Statistics and its type

• Variables

i. Quantitative variable and its type ii. Qualitative variable and its type

• Graph

i. Bar-graph ii. Histogram

• Measure of central Tendency

i. Mean ii. Median iii. Mode

• Measure of Dispersion

i. Variance ii. Standard Deviation

• Percentiles and Quartiles

• 5-Number Summary

• Boxplot

• Normal Distribution

• Standard Normal Distribution

• Standardization

• Normalization

i. Min-max scaler

• Covariance

• Pearson Correlation Coefficient

• Spearman's rank correlation coefficient

• Poisson Distribution

• Bernoulli Distribution

• Binomial Distribution

• Q-Q plot

• Chi-square Test

• Hypothesis Testing

• Annova Test

• 1-sample t-test and 2-sample t-test

• Kernel density estimation

• Probability density function

• P value

• Bell curve

References:

1. https://www.youtube.com/watch?v=zRUliXuwJCQ&list=PLZoTAELRMXVMhVyr3Ri9IQ-t5QPBtxzJO

2. https://www.youtube.com/watch?v=11unm2hmvOQ&list=PLZoTAELRMXVMgtxAboeAx-D9qbnY94Yay