STA 4702 - Multivariate Statistical Methods
STA 5701 - Applied Multivariate Methods



Spring 2019 Syllabus      WORD     PDF


Instructor: Larry Winner     Office: 228 Griffin/Floyd   Phone: (352) 273-2995    E-mail:  winner@stat.ufl.edu    Office Hours: M 12:15-1:30   Tu 11:00-12:15   W 1:00-2:15   Th 8:00-9:15

TA: Yuna Kim,   Office: FLO 116-D,   e-mail:  ynkim732@ufl.edu     Office Hours: Tu  11:00-3:00,  Th  10:00-2:00



Textbook Datasets

Homework Projects (Spring 2019):    

Project 1 (Due 2/4/2019):     Word       PDF
           

Project 2 (Due 3/1/2019)    Word    PDF      Part 1 Data  (D3 = hmSpDev, D4 = OUDev, Updated 8:20AM 2/26/2019)      Part 2 Data         Part 3/5 Data        Part 4  Data     Description

Project 3 (Due 4/1/2019)    Word    PDF     Part 1   4 Responses on Satsuma Stored for 4 Lengths at 3 Temperatures              Data (.csv)          Description      
                                                               Part 2
    Data (.csv)         Description      
                                                               Part 3 will be on Project 4

   ** Part 3     Data (.csv)
  R Program to Read Part 3 Data    

Project 4 (Due 4/24):  Part 3 of Project 3,   J&W: 9.34,   11.24a-f,    R Program    12.14-15     R Program

Exam 1 (2/8/2019) Topics         Exam 2  Topics        Tables for Exam 2:   Chi-Square / F     Bonferroni t

Exam 3      Topics         Practice Problems Updated 4/29/2019  Problem 1: n=22   Answers    Q..5:  a' = [ -0.7091  0.2246 ]   m = -9.802  

Spring 2017 Exams (Solutions will not be posted)    Exam 1   Word   PDF      Exam 2   Word   PDF      Exam 3   Word   PDF      


Chapter 1 Materials

Practice Problems:  
1,2,3,6,7a,9,11,12a-b,15,17,18      Solutions

Chapter 1 Notes

Chapter 1 Slides   (PPT)      Plot Program (R)         Ellipse Plot (R)

LPGA 2008 Performance        
Data      Description        R Program      EXCEL    Practice Problems   PDF

Chemical and Ethanol Contents of 25 Fake and 25 Original Perfumes             Data (.csv)         Description          R Program

Greenhouse Gas Production Growth Curves      EXCEL  

NFL Combine 2014              
Data (.csv)


Chapter 2 Materials


Practice Problems:    1b,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,23,24,25,26,27,32,34,35,36,41   Partial Solutions

Chapter 2 Notes

Introduction to Vectors and Matrices (PPT)


LPGA 2008 Performance         Data      Description        R Program

Perfume Forensics Study       Data (.csv)         Description       R Program  


Chapter 3 Materials


Practice Problems:  1,3,4,6,8,11,13,14,16,18,20     Solutions

Chapter 3 Notes

Chapter 3 Slides

NFL Combine 2014    R Program          

NHL Height/Weight       R Program

Height, Hand Length, Foot Length         Data (.csv)            Description        Worksheet           Base R Program     Complete R Program


Chapter 4 and Supplementary Materials

Practice Problems: 2,3,4a,5,6,7,16,17,19,21,22,29ab    Solutions

Chapter 4 Notes

Probability Distribution Slides

Distributions of Functions of Normal RVs         R Program        R Output         Graphics Output

Sampling Distributions - NHL and EPL BMIs  (R Program)

NBA Playoff Betting Lines and Outcomes     Worksheet       R Program         Data (.csv)

NHL Height/Weight      R Program         EXCEL

Bivariate Normal Density (Includes 3-D plot that updates with parameter changes)  (EXCEL)

 Generating Multivariate Normal Data    R Program


Chapter 5 Materials

Practice Problems:
 1,2,3,5,6,7,8,9,13,16, 18,20       Solutions    Note on 5.9 I did not use the large-sample version of Tests/CIs

Inference Regarding a Single Mean Vector Slides

WNBA Point Spreads/Game Outcomes      Data     R Program  

NFL Height/Weight Example     R Program
    
R Program for Plotting Confidence Ellipsoid for p=2

Data, Ellipse of Constant Distance (95% Confidence), and Major/Minor Axes  - LPGA Data      EXCEL      PPT

Florida Lotto Example         R Program1     R Program 2

Univariate and Multivariate Control Charts



Chapter 6 Materials

Textbook Practice Problems: 1,2,5,7,8,9,10,11,12,17,18,21,22,24,26,29,31,34,35,36,37     Solutions (Part 1)       Solutions (Part 2)    Solutions (Part 3)

Exam Practice Problems:      Part 1: Identification of Methods (Do these first!)         Part 2: Calculations     Solutions

Comparisons Among Treatments/Populations Slides    

Chapter 6 Notes    ( Confidence Region at bottom of p. 6.2 should have S_d^(-1) )        Approximate F-Tests for MANOVA Models     PDF

Bivariate Paired t-test - WNBA Home Spread and Over/Under Deviations 2010-2018 Regular Seasons         R Program

WNBA Home/Away Stats Example - Paired Comparisons        R Program      EXCEL File to Generate Data

Blood Alcohol Concentration Determinations by 3 Methods - Repeated Measures to Compare Treatments      Data (.csv)      R Program    

Theophylline Clearance and Heartburn Medication - Repeated Measures to Compare Treatments       EXCEL

Chemical and Ethanol Contents of 25 Fake and 25 Original Perfumes             Data (.csv)         Description          R Program1     R Program 2

Comparison of NFL Combine Offensive Linemen and Defensive Linemen - Hotelling's T^2      R Program

Comparison of 3 Methods for Meniscal Repair on 3 Outcome measures                  Data                 Description       EXCEL      R Program

Isotopes Measured in Elephant Tusks in 4 Regions of Africa - 1-Way MANOVA              R Program     Data(.csv)     Description

Isotopes Measured in Elephant Tusks in 4 Regions of Africa - Box's Test of Equal Variance-Covariance Matrices       R Program

Balance and Color of Plates on Consumer Attributes - 2-Way MANOVA             Data (.csv w/ induced correlation)       Description         R Program        EXCEL      Worksheet

Efficiency of 4 Dryers on 3 Clothing Categories - 2-Way MANOVA           Data     Description       R Program (Updated 3/28/2019)      EXCEL

Potato Quality Ratings (Boiled vs Bake@450) - Profile Analysis with 2 Groups              Data      Description        R Program      EXCEL (WIP)

J&W Growth Curve Example    EXCEL

Caffeine versus Placebo for Psychomotor Performance Lases under Sleep Deprivation - Growth Curves (Repeated Measures)
  Data      Description     R Program (Multivariate)     R Program (Univariate LME Model)
     EXCEL

Greenhouse Gas emissions for Large Nations 1970-2012    EXCEL


Chapter 7 Materials

Practice Problems: 1,2,7,8,9,10,12,13,14,15,19.21,25     Solutions    Part 1    Part 2

Chapter 7 Notes            F-Tests Based on Wilks' Lambda and Pillai's Trace     Wilks' Lambda formula corrected 3/27/2017     

Multivariate Regression Slides    

Using EXCEL for Matrix Form of Multiple Regression Model - Hotel Energy Consumption   PPT      EXCEL     (Uses X for Z and p for r)

WNBA 2018 Scores Regression Model     R Program

Linear Regression - NFL Point Predictions and Actual Scores - 2007

Multiple Linear Regression - Texas January High Temperatures  (Complete/Reduced Models)

Multivariate Regression - Monthly British Butter Prices (1930-1936)    

Biodiesel Transesterification from Rapseed Oil in 3 Alcohols               Data (.csv)              Description           R Program      EXCEL

Miami Weather          Data (.csv)      R Program



Chapter 8 Materials

Practice Problems:  1,2,3,4,6,7,8,10,11,15,26     Solutions

Chapter 8 Notes  

Principal Components Slides      

LPGA 2008 Example     PPT       R Program       R Program (princomp function)      R Program (FactoMineR and factoextra functions)

Triple Crown Horse Racing     Data       Description      R Program

Example 8.4    R Program             Example 8.5    R Program      

Albacore Chemical          Data      Description           R Program

LPGA Performance          Data       Description          R Program  

Multiple Linear Regression - Standing Heights and Other Stature Attributes for Female Police Officer Candidates (Multicollinearity/Principal Component Regression)

Interesting R Package for Principal Component Analysis

Chapter 9 Materials


Practice Problems:  1,2,3,6,10,12,13,19,24     Solutions   Part 1      Part 2

Chapter 9 Notes

Factor Analysis Slides

Guide Dog Factor Analysis          Correlation Matrix (.csv)      R Program      PPT

Rock Strength Factor Analysis based on Raw Data       R Program       Data (.csv)        Description

Shampoo Factor Analysis beased on Singular Correlation Matrix       R Program

Problem 9.19          R Program

Problem 9.24           R Program



Chapter 10 Materials


Practice Problems:  1,9,10

Chapter 10 Notes

Canonical Correlation Analysis Slides   

Example 10.1        R Program

NFL Combine Analysis: X(1) = Body Dimensions   X(2) = Athletic Performance Dimensions
    R Program     Data (.csv)        Data Analysis (pdf)

Marvel Movies:  X(1) = Revenues    X(2) = Reviews/Running Time        R Program         Data (.csv)

Personality Traits and Shopping Motivations and Behaviors          R Program      Data (.csv)


Chapter 11 Materials

Practice Problems:  1,4,5,7,8

Chapter 11 Notes

Discrimination and Classification Slides

Example with p=1 Variable: Discriminating Between WNBA/NBA Players by BMI  (PPT)     EXCEL

PGA/LPGA Driving Distance/Accuracy        R Program          Data            Description        Data Analysis (pdf)

NHL/EPL Height/Weight                      R Program               Data Analysis (pdf)


Chapter 12 Materials

Practice Problems:  1,2,5,7,11

Chapter 12 Notes

Cluster Analysis Slides (WIP)

WNBA Points/Assists/Rebounds per 48 Minutes         Data (.csv)       R Program

Example 12.19     R Program