Chapter 1 - Chapter 1. Introduction to Statistics and Data...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 1. Introduction to Statistics and Data Analysis 1.1 Overview ▪ Probability ▪ Random variable and Probability Distribution ▪ Mathematical Expectation ▪ Some Discrete Probability Distributions ▪ Some Continuous Probability Distribution ▪ Fundamental Sampling Distributions and Data Descriptions ▪ Estimation ▪ Test of Hypotheses ▪ Simple Linear Regression ▪ Multiple Linear Regression / Variable Selection Methods 1.2 Probability and Statistics Population Population Sample ○ ▲ Parameters Parameters ▲ × × µ, σ 2 × ○▲ ○ Sampling ▲○ × technique ×○ ○ ▲ ▲× Inference ▲ ○ × ×▲ ○ Statistical procedure Probability random variables X 1 , X 2 ,..., X n before before observation after observation Statistics x1 , x2 ,..., xn data Statistics Statistics x , s2 1.3 Measures of Location : The Sample Mean and Median Data : x1 , x2 ,..., xn ▪ Sample mean x1 + x2 + ... + xn 1 n x= = ∑ xi n n i =1 ▪ Sample median x( n +1) / 2 if n is odd ⎧ x=⎨ ⎩{xn / 2 + x( n / 2) +1}/ 2 if n is even - Provided that data is in increasing order e.g. data : 2, 2, 3, 4, 15 x = 5.2, x = 3 1.4 Measures of Variability Data set A : 9, 9, 10, 10, 10, 11, 11 x A = 10 Data set B : 1, 2, 10, 10, 10, 18, 19 xB = 10 ▪ Sample range R = xmax − xmin ▪ Sample variance n s2 = ∑ (x − x ) i i =1 n −1 2 = sum of squares degree of freedom ▪ Sample standard deviation s= n ∑ (x − x ) i =1 i 2 (n − 1) ...
View Full Document

This note was uploaded on 10/02/2011 for the course STAT 3011 taught by Professor Wang,zhan during the Spring '09 term at Minnesota.

Page1 / 4

Chapter 1 - Chapter 1. Introduction to Statistics and Data...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online