This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: STA 100 Lecture 3 Paul Baines Department of Statistics University of California, Davis January 7th, 2011 Admin for the Day I Homework 1 posted, due Wednesday, Jan 12th in class I Electronic submissions are not valid: We must receive a paper copy I Handwritten or printed versions are both fine I If you complete your homework on computer (e.g., doc, pdf) then please also submit it to Smartsite via the Assignments tab I Smartsite submission not required if you handwrite your homework solutions I Detailed R and R Commander Instructions Online Admin for the Day I Homework 1 posted, due Wednesday, Jan 12th in class I Electronic submissions are not valid: We must receive a paper copy I Handwritten or printed versions are both fine I If you complete your homework on computer (e.g., doc, pdf) then please also submit it to Smartsite via the Assignments tab I Smartsite submission not required if you handwrite your homework solutions I Detailed R and R Commander Instructions Online References for Today: Rosner, Ch 2.12.12 (7th Ed.) Topics For Today 1. Exploratory Data Analysis: 2. Descriptive Statistics: Exploratory Summaries We have seen some graphs – lets look at other descriptive statistics. Measures of Center Mean The ‘average’ value: Median The middle value. Mode The most common value. Measures of Center Mean The ‘average’ value: ¯ x = 1 n n X i =1 x i (1) Median The middle value. Mode The most common value. Measures of Center Mean The ‘average’ value: ¯ x = 1 n n X i =1 x i (1) Median The middle value. Median ( x ) = x ( n +1 2 ) if n is odd 1 2 x ( n 2 ) + x ( n 2 +1 ) if n is even (2) where x ( i ) denotes the i th smallest value i.e., x (1) = min , x ( n ) = max . Mode The most common value. Beyond the Center The median naturally describes the center of a distribution. What other quantities might we want to describe? Beyond the Center The median naturally describes the center of a distribution. What other quantities might we want to describe? Definition Percentiles Definition 2.6, Rosner: Define the p th percentile by: 1. The ( k + 1)th largest value, if np / 100 is not an integer (where k is the largest integer less than np / 100 ). 2. The average of the np / 100th and ( np / 100 + 1)th largest values, if np / 100 is an integer. Beyond the Center The median naturally describes the center of a distribution. What other quantities might we want to describe? Definition Percentiles Definition 2.6, Rosner: Define the p th percentile by: 1. The ( k + 1)th largest value, if np / 100 is not an integer (where k is the largest integer less than np / 100 ). 2. The average of the np / 100th and ( np / 100 + 1)th largest values, if np / 100 is an integer....
View
Full
Document
This note was uploaded on 03/09/2011 for the course STAT 100 taught by Professor drake during the Spring '10 term at UC Davis.
 Spring '10
 DRAKE
 Statistics

Click to edit the document details