Residuals from regression on original data 1
|
|
- Noel Harmon
- 5 years ago
- Views:
Transcription
1 Residuals from regression on original data 1 Obs a b n i y
2 Residuals from regression on original data 2 Obs a b n i y
3 Residuals from regression on original data 3 The GLM Procedure Class Class Level Information Levels Values a b Number of Observations Read 18 Number of Observations Used 18
4 Residuals from regression on original data 4 The GLM Procedure Dependent Variable: y Source DF Sum of Squares Mean Square F Value Pr > F Model < Corrected Total R-Square Coeff Var Root MSE y Mean Source DF Type I SS Mean Square F Value Pr > F a <.0001 b <.0001 a*b Source DF Type III SS Mean Square F Value Pr > F a <.0001 b <.0001 a*b
5 Residuals from regression on original data 5 The GLM Procedure Class Class Level Information Levels Values a b Number of Observations Read 18 Number of Observations Used 18
6 Residuals from regression on original data 6 The GLM Procedure Dependent Variable: y Source DF Sum of Squares Mean Square F Value Pr > F Model Corrected Total R-Square Coeff Var Root MSE y Mean Source DF Type I SS Mean Square F Value Pr > F a b a*b Source DF Type III SS Mean Square F Value Pr > F a b a*b
7 Residuals from regression on original data 7 The ROBUSTREG Procedure Model Information Data Set WORK.TABLE922 Dependent Variable y Number of Independent Variables 2 Number of Continuous Independent Variables 0 Number of Class Independent Variables 2 Number of Observations 18 Method M Estimation Number of Observations Read 18 Number of Observations Used 18 Name Class Level Information Levels Values a b Summary Statistics Variable Q1 Median Q3 Mean Deviation MAD y Parameter Estimates Intercept <.0001 a <.0001 a b <.0001 b <.0001 b a*b a*b a*b a*b a*b
8 Residuals from regression on original data 8 The ROBUSTREG Procedure Parameter Estimates a*b Scale Diagnostics Summary Observation Type Proportion Cutoff Outlier Goodness-of-Fit Statistic Value R-Square AICR BICR Deviance Reduced Model Parameter Estimates for MAINA Intercept <.0001 a a b <.0001 b <.0001 b a*b <.0001 a*b <.0001 a*b a*b a*b a*b Scale
9 Residuals from regression on original data 9 The ROBUSTREG Procedure Robust Linear s MAINA Statistic Lambda DF Rho <.0001 Rn <.0001 Reduced Model Parameter Estimates for INTER Intercept <.0001 a <.0001 a b <.0001 b <.0001 b a*b a*b a*b a*b a*b a*b Scale Robust Linear s INTER Statistic Lambda DF Rho Rn
10 Residuals from regression on original data 10 The ROBUSTREG Procedure Model Information Data Set WORK.BAD922 Dependent Variable y Number of Independent Variables 2 Number of Continuous Independent Variables 0 Number of Class Independent Variables 2 Number of Observations 18 Method M Estimation Number of Observations Read 18 Number of Observations Used 18 Name Class Level Information Levels Values a b Summary Statistics Variable Q1 Median Q3 Mean Deviation MAD y Parameter Estimates Intercept <.0001 a <.0001 a b <.0001 b <.0001 b a*b <.0001 a*b <.0001 a*b a*b a*b
11 Residuals from regression on original data 11 The ROBUSTREG Procedure Parameter Estimates a*b Scale Obs Diagnostics ized Robust Residual Outlier * * * Diagnostics Summary Observation Type Proportion Cutoff Outlier Goodness-of-Fit Statistic Value R-Square AICR BICR Deviance Reduced Model Parameter Estimates for MAINA Intercept <.0001 a a b <.0001 b <.0001 b a*b <.0001 a*b <.0001 a*b
12 Residuals from regression on original data 12 The ROBUSTREG Procedure Reduced Model Parameter Estimates for MAINA a*b a*b a*b Scale Robust Linear s MAINA Statistic Lambda DF Rho <.0001 Rn <.0001 Reduced Model Parameter Estimates for INTER Intercept <.0001 a <.0001 a b <.0001 b <.0001 b a*b a*b a*b a*b a*b a*b Scale
13 Residuals from regression on original data 13 The ROBUSTREG Procedure Robust Linear s INTER Statistic Lambda DF Rho <.0001 Rn <.0001
14 Residuals from regression on original data 14 y a b
Detecting and Assessing Data Outliers and Leverage Points
Chapter 9 Detecting and Assessing Data Outliers and Leverage Points Section 9.1 Background Background Because OLS estimators arise due to the minimization of the sum of squared errors, large residuals
More informationAnswer Keys to Homework#10
Answer Keys to Homework#10 Problem 1 Use either restricted or unrestricted mixed models. Problem 2 (a) First, the respective means for the 8 level combinations are listed in the following table A B C Mean
More informationAssignment 9 Answer Keys
Assignment 9 Answer Keys Problem 1 (a) First, the respective means for the 8 level combinations are listed in the following table A B C Mean 26.00 + 34.67 + 39.67 + + 49.33 + 42.33 + + 37.67 + + 54.67
More information3 Variables: Cyberloafing Conscientiousness Age
title 'Cyberloafing, Mike Sage'; run; PROC CORR data=sage; var Cyberloafing Conscientiousness Age; run; quit; The CORR Procedure 3 Variables: Cyberloafing Conscientiousness Age Simple Statistics Variable
More informationChapter 11: Robust & Quantile regression
Chapter 11: Robust & Adapted from Timothy Hanson Department of Statistics, University of South Carolina Stat 704: Data Analysis I 1 / 13 11.3: Robust regression Leverages h ii and deleted residuals t i
More informationT-test: means of Spock's judge versus all other judges 1 12:10 Wednesday, January 5, judge1 N Mean Std Dev Std Err Minimum Maximum
T-test: means of Spock's judge versus all other judges 1 The TTEST Procedure Variable: pcwomen judge1 N Mean Std Dev Std Err Minimum Maximum OTHER 37 29.4919 7.4308 1.2216 16.5000 48.9000 SPOCKS 9 14.6222
More informationunadjusted model for baseline cholesterol 22:31 Monday, April 19,
unadjusted model for baseline cholesterol 22:31 Monday, April 19, 2004 1 Class Level Information Class Levels Values TRETGRP 3 3 4 5 SEX 2 0 1 Number of observations 916 unadjusted model for baseline cholesterol
More informationStatistics 512: Solution to Homework#11. Problems 1-3 refer to the soybean sausage dataset of Problem 20.8 (ch21pr08.dat).
Statistics 512: Solution to Homework#11 Problems 1-3 refer to the soybean sausage dataset of Problem 20.8 (ch21pr08.dat). 1. Perform the two-way ANOVA without interaction for this model. Use the results
More informationAssignment 6 Answer Keys
ssignment 6 nswer Keys Problem 1 (a) The treatment sum of squares can be calculated by SS Treatment = b a ȳi 2 Nȳ 2 i=1 = 5 (5.40 2 + 5.80 2 + 10 2 + 9.80 2 ) 20 7.75 2 = 92.95 Then the F statistic for
More informationANALYSES OF NCGS DATA FOR ALCOHOL STATUS CATEGORIES 1 22:46 Sunday, March 2, 2003
ANALYSES OF NCGS DATA FOR ALCOHOL STATUS CATEGORIES 1 22:46 Sunday, March 2, 2003 The MEANS Procedure DRINKING STATUS=1 Analysis Variable : TRIGL N Mean Std Dev Minimum Maximum 164 151.6219512 95.3801744
More informationHandout 1: Predicting GPA from SAT
Handout 1: Predicting GPA from SAT appsrv01.srv.cquest.utoronto.ca> appsrv01.srv.cquest.utoronto.ca> ls Desktop grades.data grades.sas oldstuff sasuser.800 appsrv01.srv.cquest.utoronto.ca> cat grades.data
More informationSTA 302 H1F / 1001 HF Fall 2007 Test 1 October 24, 2007
STA 302 H1F / 1001 HF Fall 2007 Test 1 October 24, 2007 LAST NAME: SOLUTIONS FIRST NAME: STUDENT NUMBER: ENROLLED IN: (circle one) STA 302 STA 1001 INSTRUCTIONS: Time: 90 minutes Aids allowed: calculator.
More informationdata proc sort proc corr run proc reg run proc glm run proc glm run proc glm run proc reg CONMAIN CONINT run proc reg DUMMAIN DUMINT run proc reg
data one; input id Y group X; I1=0;I2=0;I3=0;if group=1 then I1=1;if group=2 then I2=1;if group=3 then I3=1; IINT1=I1*X;IINT2=I2*X;IINT3=I3*X; *************************************************************************;
More informationChapter 11: Robust & Quantile regression
Chapter 11: Robust & Timothy Hanson Department of Statistics, University of South Carolina Stat 704: Data Analysis I 1/17 11.3: Robust regression 11.3 Influential cases rem. measure: Robust regression
More informationSTAT 3A03 Applied Regression Analysis With SAS Fall 2017
STAT 3A03 Applied Regression Analysis With SAS Fall 2017 Assignment 5 Solution Set Q. 1 a The code that I used and the output is as follows PROC GLM DataS3A3.Wool plotsnone; Class Amp Len Load; Model CyclesAmp
More informationMulticollinearity Exercise
Multicollinearity Exercise Use the attached SAS output to answer the questions. [OPTIONAL: Copy the SAS program below into the SAS editor window and run it.] You do not need to submit any output, so there
More informationChapter 8 (More on Assumptions for the Simple Linear Regression)
EXST3201 Chapter 8b Geaghan Fall 2005: Page 1 Chapter 8 (More on Assumptions for the Simple Linear Regression) Your textbook considers the following assumptions: Linearity This is not something I usually
More informationTopic 14: Inference in Multiple Regression
Topic 14: Inference in Multiple Regression Outline Review multiple linear regression Inference of regression coefficients Application to book example Inference of mean Application to book example Inference
More information171:162 Design and Analysis of Biomedical Studies, Summer 2011 Exam #3, July 16th
Name 171:162 Design and Analysis of Biomedical Studies, Summer 2011 Exam #3, July 16th Use the selected SAS output to help you answer the questions. The SAS output is all at the back of the exam on pages
More informationAnalysis of Variance. Source DF Squares Square F Value Pr > F. Model <.0001 Error Corrected Total
Math 221: Linear Regression and Prediction Intervals S. K. Hyde Chapter 23 (Moore, 5th Ed.) (Neter, Kutner, Nachsheim, and Wasserman) The Toluca Company manufactures refrigeration equipment as well as
More informationSAS Procedures Inference about the Line ffl model statement in proc reg has many options ffl To construct confidence intervals use alpha=, clm, cli, c
Inference About the Slope ffl As with all estimates, ^fi1 subject to sampling var ffl Because Y jx _ Normal, the estimate ^fi1 _ Normal A linear combination of indep Normals is Normal Simple Linear Regression
More informationTopic 17 - Single Factor Analysis of Variance. Outline. One-way ANOVA. The Data / Notation. One way ANOVA Cell means model Factor effects model
Topic 17 - Single Factor Analysis of Variance - Fall 2013 One way ANOVA Cell means model Factor effects model Outline Topic 17 2 One-way ANOVA Response variable Y is continuous Explanatory variable is
More informationOutline. Review regression diagnostics Remedial measures Weighted regression Ridge regression Robust regression Bootstrapping
Topic 19: Remedies Outline Review regression diagnostics Remedial measures Weighted regression Ridge regression Robust regression Bootstrapping Regression Diagnostics Summary Check normality of the residuals
More informationLecture 11: Simple Linear Regression
Lecture 11: Simple Linear Regression Readings: Sections 3.1-3.3, 11.1-11.3 Apr 17, 2009 In linear regression, we examine the association between two quantitative variables. Number of beers that you drink
More informationChapter 1: Linear Regression with One Predictor Variable also known as: Simple Linear Regression Bivariate Linear Regression
BSTT523: Kutner et al., Chapter 1 1 Chapter 1: Linear Regression with One Predictor Variable also known as: Simple Linear Regression Bivariate Linear Regression Introduction: Functional relation between
More informationSTA 303 H1S / 1002 HS Winter 2011 Test March 7, ab 1cde 2abcde 2fghij 3
STA 303 H1S / 1002 HS Winter 2011 Test March 7, 2011 LAST NAME: FIRST NAME: STUDENT NUMBER: ENROLLED IN: (circle one) STA 303 STA 1002 INSTRUCTIONS: Time: 90 minutes Aids allowed: calculator. Some formulae
More informationLecture 13 Extra Sums of Squares
Lecture 13 Extra Sums of Squares STAT 512 Spring 2011 Background Reading KNNL: 7.1-7.4 13-1 Topic Overview Extra Sums of Squares (Defined) Using and Interpreting R 2 and Partial-R 2 Getting ESS and Partial-R
More informationSTAT 350: Summer Semester Midterm 1: Solutions
Name: Student Number: STAT 350: Summer Semester 2008 Midterm 1: Solutions 9 June 2008 Instructor: Richard Lockhart Instructions: This is an open book test. You may use notes, text, other books and a calculator.
More informationData Set 8: Laysan Finch Beak Widths
Data Set 8: Finch Beak Widths Statistical Setting This handout describes an analysis of covariance (ANCOVA) involving one categorical independent variable (with only two levels) and one quantitative covariate.
More informationSTATISTICS 479 Exam II (100 points)
Name STATISTICS 79 Exam II (1 points) 1. A SAS data set was created using the following input statement: Answer parts(a) to (e) below. input State $ City $ Pop199 Income Housing Electric; (a) () Give the
More informationST 512-Practice Exam I - Osborne Directions: Answer questions as directed. For true/false questions, circle either true or false.
ST 512-Practice Exam I - Osborne Directions: Answer questions as directed. For true/false questions, circle either true or false. 1. A study was carried out to examine the relationship between the number
More informationIntroduction to Linear regression analysis. Part 2. Model comparisons
Introduction to Linear regression analysis Part Model comparisons 1 ANOVA for regression Total variation in Y SS Total = Variation explained by regression with X SS Regression + Residual variation SS Residual
More informationHandling Categorical Predictors: ANOVA
Handling Categorical Predictors: ANOVA 1/33 I Hate Lines! When we think of experiments, we think of manipulating categories Control, Treatment 1, Treatment 2 Models with Categorical Predictors still reflect
More informationCOMPREHENSIVE WRITTEN EXAMINATION, PAPER III FRIDAY AUGUST 26, 2005, 9:00 A.M. 1:00 P.M. STATISTICS 174 QUESTION
COMPREHENSIVE WRITTEN EXAMINATION, PAPER III FRIDAY AUGUST 26, 2005, 9:00 A.M. 1:00 P.M. STATISTICS 174 QUESTION Answer all parts. Closed book, calculators allowed. It is important to show all working,
More informationChecking the Poisson assumption in the Poisson generalized linear model
Checking the Poisson assumption in the Poisson generalized linear model The Poisson regression model is a generalized linear model (glm) satisfying the following assumptions: The responses y i are independent
More informationLecture 3: Inference in SLR
Lecture 3: Inference in SLR STAT 51 Spring 011 Background Reading KNNL:.1.6 3-1 Topic Overview This topic will cover: Review of hypothesis testing Inference about 1 Inference about 0 Confidence Intervals
More informationBooklet of Code and Output for STAC32 Final Exam
Booklet of Code and Output for STAC32 Final Exam December 12, 2015 List of Figures in this document by page: List of Figures 1 Time in days for students of different majors to find full-time employment..............................
More informationData Mining and Data Warehousing. Henryk Maciejewski. Data Mining Predictive modelling: regression
Data Mining and Data Warehousing Henryk Maciejewski Data Mining Predictive modelling: regression Algorithms for Predictive Modelling Contents Regression Classification Auxiliary topics: Estimation of prediction
More informationR Output for Linear Models using functions lm(), gls() & glm()
LM 04 lm(), gls() &glm() 1 R Output for Linear Models using functions lm(), gls() & glm() Different kinds of output related to linear models can be obtained in R using function lm() {stats} in the base
More informationSAS Commands. General Plan. Output. Construct scatterplot / interaction plot. Run full model
Topic 23 - Unequal Replication Data Model Outline - Fall 2013 Parameter Estimates Inference Topic 23 2 Example Page 954 Data for Two Factor ANOVA Y is the response variable Factor A has levels i = 1, 2,...,
More informationGeneral Linear Model (Chapter 4)
General Linear Model (Chapter 4) Outcome variable is considered continuous Simple linear regression Scatterplots OLS is BLUE under basic assumptions MSE estimates residual variance testing regression coefficients
More informationHomework 2: Simple Linear Regression
STAT 4385 Applied Regression Analysis Homework : Simple Linear Regression (Simple Linear Regression) Thirty (n = 30) College graduates who have recently entered the job market. For each student, the CGPA
More informationWeek 7.1--IES 612-STA STA doc
Week 7.1--IES 612-STA 4-573-STA 4-576.doc IES 612/STA 4-576 Winter 2009 ANOVA MODELS model adequacy aka RESIDUAL ANALYSIS Numeric data samples from t populations obtained Assume Y ij ~ independent N(μ
More informationIn Class Review Exercises Vartanian: SW 540
In Class Review Exercises Vartanian: SW 540 1. Given the following output from an OLS model looking at income, what is the slope and intercept for those who are black and those who are not black? b SE
More informationTopic 20: Single Factor Analysis of Variance
Topic 20: Single Factor Analysis of Variance Outline Single factor Analysis of Variance One set of treatments Cell means model Factor effects model Link to linear regression using indicator explanatory
More informationBooklet of Code and Output for STAC32 Final Exam
Booklet of Code and Output for STAC32 Final Exam December 7, 2017 Figure captions are below the Figures they refer to. LowCalorie LowFat LowCarbo Control 8 2 3 2 9 4 5 2 6 3 4-1 7 5 2 0 3 1 3 3 Figure
More informationStatistics for exp. medical researchers Regression and Correlation
Faculty of Health Sciences Regression analysis Statistics for exp. medical researchers Regression and Correlation Lene Theil Skovgaard Sept. 28, 2015 Linear regression, Estimation and Testing Confidence
More informationA Short Introduction to Curve Fitting and Regression by Brad Morantz
A Short Introduction to Curve Fitting and Regression by Brad Morantz bradscientist@machine-cognition.com Overview What can regression do for me? Example Model building Error Metrics OLS Regression Robust
More informationSTA 303H1F: Two-way Analysis of Variance Practice Problems
STA 303H1F: Two-way Analysis of Variance Practice Problems 1. In the Pygmalion example from lecture, why are the average scores of the platoon used as the response variable, rather than the scores of the
More informationTopic 18: Model Selection and Diagnostics
Topic 18: Model Selection and Diagnostics Variable Selection We want to choose a best model that is a subset of the available explanatory variables Two separate problems 1. How many explanatory variables
More informationSTAT 350. Assignment 4
STAT 350 Assignment 4 1. For the Mileage data in assignment 3 conduct a residual analysis and report your findings. I used the full model for this since my answers to assignment 3 suggested we needed the
More informationRegression: Main Ideas Setting: Quantitative outcome with a quantitative explanatory variable. Example, cont.
TCELL 9/4/205 36-309/749 Experimental Design for Behavioral and Social Sciences Simple Regression Example Male black wheatear birds carry stones to the nest as a form of sexual display. Soler et al. wanted
More information22S39: Class Notes / November 14, 2000 back to start 1
Model diagnostics Interpretation of fitted regression model 22S39: Class Notes / November 14, 2000 back to start 1 Model diagnostics 22S39: Class Notes / November 14, 2000 back to start 2 Model diagnostics
More informationLecture 3 Linear random intercept models
Lecture 3 Linear random intercept models Example: Weight of Guinea Pigs Body weights of 48 pigs in 9 successive weeks of follow-up (Table 3.1 DLZ) The response is measures at n different times, or under
More informationEconometrics 1. Lecture 8: Linear Regression (2) 黄嘉平
Econometrics 1 Lecture 8: Linear Regression (2) 黄嘉平 中国经济特区研究中 心讲师 办公室 : 文科楼 1726 E-mail: huangjp@szu.edu.cn Tel: (0755) 2695 0548 Office hour: Mon./Tue. 13:00-14:00 The linear regression model The linear
More informationSTAT 3A03 Applied Regression With SAS Fall 2017
STAT 3A03 Applied Regression With SAS Fall 2017 Assignment 2 Solution Set Q. 1 I will add subscripts relating to the question part to the parameters and their estimates as well as the errors and residuals.
More informationStat 302 Statistical Software and Its Applications SAS: Simple Linear Regression
1 Stat 302 Statistical Software and Its Applications SAS: Simple Linear Regression Fritz Scholz Department of Statistics, University of Washington Winter Quarter 2015 February 16, 2015 2 The Spirit of
More informationStat 5303 (Oehlert): Randomized Complete Blocks 1
Stat 5303 (Oehlert): Randomized Complete Blocks 1 > library(stat5303libs);library(cfcdae);library(lme4) > immer Loc Var Y1 Y2 1 UF M 81.0 80.7 2 UF S 105.4 82.3 3 UF V 119.7 80.4 4 UF T 109.7 87.2 5 UF
More informationOne-sided and two-sided t-test
One-sided and two-sided t-test Given a mean cancer rate in Montreal, 1. What is the probability of finding a deviation of > 1 stdev from the mean? 2. What is the probability of finding 1 stdev more cases?
More information36-309/749 Experimental Design for Behavioral and Social Sciences. Sep. 22, 2015 Lecture 4: Linear Regression
36-309/749 Experimental Design for Behavioral and Social Sciences Sep. 22, 2015 Lecture 4: Linear Regression TCELL Simple Regression Example Male black wheatear birds carry stones to the nest as a form
More informationIES 612/STA 4-573/STA Winter 2008 Week 1--IES 612-STA STA doc
IES 612/STA 4-573/STA 4-576 Winter 2008 Week 1--IES 612-STA 4-573-STA 4-576.doc Review Notes: [OL] = Ott & Longnecker Statistical Methods and Data Analysis, 5 th edition. [Handouts based on notes prepared
More informationChapter 12: Multiple Regression
Chapter 12: Multiple Regression 12.1 a. A scatterplot of the data is given here: Plot of Drug Potency versus Dose Level Potency 0 5 10 15 20 25 30 0 5 10 15 20 25 30 35 Dose Level b. ŷ = 8.667 + 0.575x
More informationFailure Time of System due to the Hot Electron Effect
of System due to the Hot Electron Effect 1 * exresist; 2 option ls=120 ps=75 nocenter nodate; 3 title of System due to the Hot Electron Effect ; 4 * TIME = failure time (hours) of a system due to drift
More informationSection Least Squares Regression
Section 2.3 - Least Squares Regression Statistics 104 Autumn 2004 Copyright c 2004 by Mark E. Irwin Regression Correlation gives us a strength of a linear relationship is, but it doesn t tell us what it
More informationExample: Four levels of herbicide strength in an experiment on dry weight of treated plants.
The idea of ANOVA Reminders: A factor is a variable that can take one of several levels used to differentiate one group from another. An experiment has a one-way, or completely randomized, design if several
More informationSTAT 420: Methods of Applied Statistics
STAT 420: Methods of Applied Statistics Model Diagnostics Transformation Shiwei Lan, Ph.D. Course website: http://shiwei.stat.illinois.edu/lectures/stat420.html August 15, 2018 Department
More informationMULTILEVEL MODELS. Multilevel-analysis in SPSS - step by step
MULTILEVEL MODELS Multilevel-analysis in SPSS - step by step Dimitri Mortelmans Centre for Longitudinal and Life Course Studies (CLLS) University of Antwerp Overview of a strategy. Data preparation (centering
More informationANOVA Longitudinal Models for the Practice Effects Data: via GLM
Psyc 943 Lecture 25 page 1 ANOVA Longitudinal Models for the Practice Effects Data: via GLM Model 1. Saturated Means Model for Session, E-only Variances Model (BP) Variances Model: NO correlation, EQUAL
More informationAnalysis of Covariance
Analysis of Covariance (ANCOVA) Bruce A Craig Department of Statistics Purdue University STAT 514 Topic 10 1 When to Use ANCOVA In experiment, there is a nuisance factor x that is 1 Correlated with y 2
More informationK. Model Diagnostics. residuals ˆɛ ij = Y ij ˆµ i N = Y ij Ȳ i semi-studentized residuals ω ij = ˆɛ ij. studentized deleted residuals ɛ ij =
K. Model Diagnostics We ve already seen how to check model assumptions prior to fitting a one-way ANOVA. Diagnostics carried out after model fitting by using residuals are more informative for assessing
More informationLab # 11: Correlation and Model Fitting
Lab # 11: Correlation and Model Fitting Objectives: 1. Correlations between variables 2. Data Manipulation, creation of squares 3. Model fitting with regression 4. Comparison of models Correlations between
More informationSTATISTICS 110/201 PRACTICE FINAL EXAM
STATISTICS 110/201 PRACTICE FINAL EXAM Questions 1 to 5: There is a downloadable Stata package that produces sequential sums of squares for regression. In other words, the SS is built up as each variable
More informationTABLES AND FORMULAS FOR MOORE Basic Practice of Statistics
TABLES AND FORMULAS FOR MOORE Basic Practice of Statistics Exploring Data: Distributions Look for overall pattern (shape, center, spread) and deviations (outliers). Mean (use a calculator): x = x 1 + x
More information5.3 Three-Stage Nested Design Example
5.3 Three-Stage Nested Design Example A researcher designs an experiment to study the of a metal alloy. A three-stage nested design was conducted that included Two alloy chemistry compositions. Three ovens
More informationANALYSIS OF VARIANCE OF BALANCED DAIRY SCIENCE DATA USING SAS
ANALYSIS OF VARIANCE OF BALANCED DAIRY SCIENCE DATA USING SAS Ravinder Malhotra and Vipul Sharma National Dairy Research Institute, Karnal-132001 The most common use of statistics in dairy science is testing
More informationStat 500 Midterm 2 12 November 2009 page 0 of 11
Stat 500 Midterm 2 12 November 2009 page 0 of 11 Please put your name on the back of your answer book. Do NOT put it on the front. Thanks. Do not start until I tell you to. The exam is closed book, closed
More informationSTAT 3900/4950 MIDTERM TWO Name: Spring, 2015 (print: first last ) Covered topics: Two-way ANOVA, ANCOVA, SLR, MLR and correlation analysis
STAT 3900/4950 MIDTERM TWO Name: Spring, 205 (print: first last ) Covered topics: Two-way ANOVA, ANCOVA, SLR, MLR and correlation analysis Instructions: You may use your books, notes, and SPSS/SAS. NO
More informationChapter 6 Multiple Regression
STAT 525 FALL 2018 Chapter 6 Multiple Regression Professor Min Zhang The Data and Model Still have single response variable Y Now have multiple explanatory variables Examples: Blood Pressure vs Age, Weight,
More informationLecture 10: 2 k Factorial Design Montgomery: Chapter 6
Lecture 10: 2 k Factorial Design Montgomery: Chapter 6 Page 1 2 k Factorial Design Involving k factors Each factor has two levels (often labeled + and ) Factor screening experiment (preliminary study)
More informationVariance. Standard deviation VAR = = value. Unbiased SD = SD = 10/23/2011. Functional Connectivity Correlation and Regression.
10/3/011 Functional Connectivity Correlation and Regression Variance VAR = Standard deviation Standard deviation SD = Unbiased SD = 1 10/3/011 Standard error Confidence interval SE = CI = = t value for
More informationBooklet of Code and Output for STAC32 Final Exam
Booklet of Code and Output for STAC32 Final Exam December 8, 2014 List of Figures in this document by page: List of Figures 1 Popcorn data............................. 2 2 MDs by city, with normal quantile
More informationUNIVERSITY EXAMINATIONS NJORO CAMPUS SECOND SEMESTER 2011/2012
UNIVERSITY EXAMINATIONS NJORO CAMPUS SECOND SEMESTER 2011/2012 THIRD YEAR EXAMINATION FOR THE AWARD BACHELOR OF SCIENCE IN AGRICULTURE AND BACHELOR OF SCIENCE IN FOOD TECHNOLOGY AGRO 391 AGRICULTURAL EXPERIMENTATION
More informationRepeated Measures Part 2: Cartoon data
Repeated Measures Part 2: Cartoon data /*********************** cartoonglm.sas ******************/ options linesize=79 noovp formdlim='_'; title 'Cartoon Data: STA442/1008 F 2005'; proc format; /* value
More informationSTA 108 Applied Linear Models: Regression Analysis Spring Solution for Homework #6
STA 8 Applied Linear Models: Regression Analysis Spring 011 Solution for Homework #6 6. a) = 11 1 31 41 51 1 3 4 5 11 1 31 41 51 β = β1 β β 3 b) = 1 1 1 1 1 11 1 31 41 51 1 3 4 5 β = β 0 β1 β 6.15 a) Stem-and-leaf
More informationThe program for the following sections follows.
Homework 6 nswer sheet Page 31 The program for the following sections follows. dm'log;clear;output;clear'; *************************************************************; *** EXST734 Homework Example 1
More informationVerification of Continuous Forecasts
Verification of Continuous Forecasts Presented by Barbara Brown Including contributions by Tressa Fowler, Barbara Casati, Laurence Wilson, and others Exploratory methods Scatter plots Discrimination plots
More informationComparing Nested Models
Comparing Nested Models ST 370 Two regression models are called nested if one contains all the predictors of the other, and some additional predictors. For example, the first-order model in two independent
More informationOct Simple linear regression. Minimum mean square error prediction. Univariate. regression. Calculating intercept and slope
Oct 2017 1 / 28 Minimum MSE Y is the response variable, X the predictor variable, E(X) = E(Y) = 0. BLUP of Y minimizes average discrepancy var (Y ux) = C YY 2u C XY + u 2 C XX This is minimized when u
More informationST Correlation and Regression
Chapter 5 ST 370 - Correlation and Regression Readings: Chapter 11.1-11.4, 11.7.2-11.8, Chapter 12.1-12.2 Recap: So far we ve learned: Why we want a random sample and how to achieve it (Sampling Scheme)
More informationSTAT 512 MidTerm I (2/21/2013) Spring 2013 INSTRUCTIONS
STAT 512 MidTerm I (2/21/2013) Spring 2013 Name: Key INSTRUCTIONS 1. This exam is open book/open notes. All papers (but no electronic devices except for calculators) are allowed. 2. There are 5 pages in
More information11 Factors, ANOVA, and Regression: SAS versus Splus
Adapted from P. Smith, and expanded 11 Factors, ANOVA, and Regression: SAS versus Splus Factors. A factor is a variable with finitely many values or levels which is treated as a predictor within regression-type
More informationUNIVERSITY OF TORONTO. Faculty of Arts and Science APRIL 2010 EXAMINATIONS STA 303 H1S / STA 1002 HS. Duration - 3 hours. Aids Allowed: Calculator
UNIVERSITY OF TORONTO Faculty of Arts and Science APRIL 2010 EXAMINATIONS STA 303 H1S / STA 1002 HS Duration - 3 hours Aids Allowed: Calculator LAST NAME: FIRST NAME: STUDENT NUMBER: There are 27 pages
More informationSTOR 455 STATISTICAL METHODS I
STOR 455 STATISTICAL METHODS I Jan Hannig Mul9variate Regression Y=X β + ε X is a regression matrix, β is a vector of parameters and ε are independent N(0,σ) Es9mated parameters b=(x X) - 1 X Y Predicted
More informationCorrelation and Simple Linear Regression
Correlation and Simple Linear Regression Sasivimol Rattanasiri, Ph.D Section for Clinical Epidemiology and Biostatistics Ramathibodi Hospital, Mahidol University E-mail: sasivimol.rat@mahidol.ac.th 1 Outline
More informationSMAM 319 Exam 1 Name. 1.Pick the best choice for the multiple choice questions below (10 points 2 each)
SMAM 319 Exam 1 Name 1.Pick the best choice for the multiple choice questions below (10 points 2 each) A b In Metropolis there are some houses for sale. Superman and Lois Lane are interested in the average
More informationCorrelation and the Analysis of Variance Approach to Simple Linear Regression
Correlation and the Analysis of Variance Approach to Simple Linear Regression Biometry 755 Spring 2009 Correlation and the Analysis of Variance Approach to Simple Linear Regression p. 1/35 Correlation
More informationRegression Review. Statistics 149. Spring Copyright c 2006 by Mark E. Irwin
Regression Review Statistics 149 Spring 2006 Copyright c 2006 by Mark E. Irwin Matrix Approach to Regression Linear Model: Y i = β 0 + β 1 X i1 +... + β p X ip + ɛ i ; ɛ i iid N(0, σ 2 ), i = 1,..., n
More informationssh tap sas913, sas
B. Kedem, STAT 430 SAS Examples SAS8 ===================== ssh xyz@glue.umd.edu, tap sas913, sas https://www.statlab.umd.edu/sasdoc/sashtml/onldoc.htm Multiple Regression ====================== 0. Show
More informationUPDATED STANDARDIZED CATCH RATES FOR BLUEFIN TUNA (Thunnus thynnus) FROM THE TRAP FISHERY IN THE STRAITS OF GIBRALTAR
SCRS/02/109 UPDATED STANDARDIZED CATCH RATES FOR BLUEFIN TUNA (Thunnus thynnus) FROM THE TRAP FISHERY IN THE STRAITS OF GIBRALTAR J. Mª Ortiz de Urbina 1 and J. M. de la Serna 2 SUMMARY A General Linear
More informationTopic 25 - One-Way Random Effects Models. Outline. Random Effects vs Fixed Effects. Data for One-way Random Effects Model. One-way Random effects
Topic 5 - One-Way Random Effects Models One-way Random effects Outline Model Variance component estimation - Fall 013 Confidence intervals Topic 5 Random Effects vs Fixed Effects Consider factor with numerous
More information