2-Way Mixed Analysis of Variance
Womens PBA - 2009
Data Description
Womens Professional Bowling Association
Qualifying rounds at Alan Park, Michigan (2009).
Factors:
A: Oil Pattern (Fixed) with a=4 levels:
B: Bowler (Random) with b=15 levels:
1=Viper, 2=
Repeated Measures ANOVA
Rogaine for Hair Growth in Women
V.H. Price and E. Menefee (1990). Quantitative Estimation of Hair Growth I. Androgenic Alopecia
in Women: Effect of Minoxidil, The journal of Investigative Dermatology, Vol.95, pp.683-687
Data Descr
Case Study Rogaine for Hair Growth in Women
Repeated Measures Analysis
Data Description:
N=8 Women selected
g=2 Treatments (Minoxodil vs Placebo)
t=4 Post-tx Measurements (weeks 8,16,24,32)
Assigned at random so that nm=4 received Minoxodil, np=4 received
The GLM Procedure
Dependent Variable: co2uptake
Sum of
Source
DF
Squares
Mean Square
Model
35
9518.347024
271.952772
Error
48
188.628571
3.929762
Corrected Total
83
9706.975595
Source
DF
pop
trt
pop*trt
id(pop*trt)
co2conc
pop*co2conc
trt*co2conc
pop*trt*
Chapter 13
Complete Block Designs
Randomized Block Design (RBD)
g > 2 Treatments (groups) to be compared
r Blocks of homogeneous units are sampled. Blocks can
be individual subjects. Blocks are made up of t subunits
Subunits within a block receive one
STA 6208 Spring 2013 Homework 1
Due Friday 1/23/15
Part 1: Kuehl: Chapter 1: 5, 6, 10, 11, 12
Part 2: A paired difference experiment is to be conducted to compare 2 treatments (paired implies that each
subject receives each treatment). The data are genera
ShampooComparisonWorksheet
ExperimentalStructure/Elements
PrimaryGoal: Compare 2 formulations of shampoo (A vs B) on hair combability
ExperimentalUnits:16 hair swatches created from human hair clippings
ObservationalUnits:Each swatch measured on 5 occasio
Project 5 - Design Problems / RBD / Latin Square / BIBD
P.1. The Professional Bowling Association (PBA) has 15 traditional tournaments per year (as well as several others with
different formats). The tournaments are played at 15 different bowling centers.
STA 6208 Homework 2 Due Friday, 2/6/15
Kuehl: Chapter 2 Exercises: 1,3,5,7,8,9
Part 2: Comparison of Three Methods of Teaching Drawing to Children Summary Stats
Experiment to compare effects of 3 methods on improving drawing:
Edwards' Training Procedure
Repeated Measures ANOVA
Univariate and Multivariate
Approaches
Setting
t Treatments/Conditions to compare
N subjects to be included in study (each subject
will receive only one treatment)
r subjects receive trt i: tr = N
p time periods of data will be
Balanced Incomplete Block Design 2008 SEC East Football Games
Treatments: Teams (t=6) _ Blocks: Games (k=2 Teams/Game)
Selecting # of Blocks, reps, and :
t
6
t
5
t
4
- 1
- 2
6!
b =
=
=
=15 r = 5 =
=
=
=
=
1
k
2
k
1
k
0
( 2!) ( ( 6 - 2 ) !)
- 1
Split-Plot Experiment
Top Shrinkage by Wool Fiber Treatment and
Number of Drying Revolutions
J. Lindberg (1953). Relationship Between Various Surface Properties of Wool Fibers: Part
II: Frictional Properties, Textile Research Journal, Vol. 23, pp. 225-237
Latin Square Design Worksheet Tang Sales and Shelf Space
Source: K. Cox (1964). "The Responsiveness to Shelf Space Changes in Supermarkets,"
Journal of Marketing Research, Vol.1 #2, pp. 63-67
Description: Latin Square Design of weekly sales for 6 weeks in
2-Factor ANOVA
Beauty and Judgment Halo Effect
Landy and Sigall (1974). Beauty is Talent: Task Evaluation as a Function of the Performers
Physical Attraction, Journal of Personality and Social Psychology, 29:299-304.
Experiment Description
Goal: determin
2-Factor ANOVA Fixed Effects Model
Factor A @ a levels, Factor B @ b levels. r replicates/treatment
i =1,., a j =1,., b k =1,., r eijk ~ NID ( 0, s 2 )
Cell Means Model: yijk =mij +eijk
A\ B
1
2
1
m11
m12 L m1b
m 1
2
M
m21
M
m22 L m2b
M O
M
m 2
M
a
ma1 ma
Unbalanced 2-Way ANOVA Based
on Summary Statistics
Ethics by Gender and Rank Among
Members of the Coast Guard
R.D. White, Jr. (1999). Are Women More Ethical? Recent Findings on the
Effects of Gender Upon Moral Development, Journal of Public
Administration
Satterthwaites Approximation for
Degrees of Freedom
Art Instruction Effect on Reading
Development
J.C. Mills (1973), The Effect of Art Instruction Upon a Reading Development Test: An
Experimental Study with Rural Appalachian Children, Studies in Art Educa
An experiment is conducted to compare five formulations of cookies and 4 cooking temperatures in an
oven. Due to the nature of the experiment and time constraints, it was decided that on each of 7 days, there
would be 4 cooking periods (one at each of the
5Fac to rExpe rime nt
Flavor Scores for Potatoes
A. Mackey and J. Stockman (1958). Cooking Quality of Oregon-Grown Russet Potatoes, American Potato
Journal, Vol.35, pp.395-407
DataDe s c riptio n
Response: Flavor Score (Mean of 5 judges/4 reps)
Factors:
Multiple Comparison
Procedures
Comfort Ratings of 13 Fabric Types
A.V. Cardello, C. Winterhalter, and H.G. Schultz (2003). "Predicting the Handle and
Comfort of Military Clothing Fabrics from Sensory and Instrumental Data:
Development and Application of N
Hasse Diagrams for Linear Models
2006 Professional Bowlers Association
Qualifying Scores
Description
2006-7 Pro Bowlers Association Tournaments
Bowlers: 37 Bowlers Competing in all Tournaments
Oil Patterns: 5 Patterns Used (Chameleon, Cheetah,
Scorpion
STA 6207 Exam 3 Fall 2014
PRINT Name _
Unless stated otherwise, all Questions are based on the following 2 regression models, where SIMPLE
REGRESSION refers to the case where p=1, and X is of full column rank (no linear dependencies among
predictor variab
STA 6207 Exam 3a Fall 2013
PRINT Name _
Unless stated otherwise, all Questions are based on the following 2 regression models, where SIMPLE
REGRESSION refers to the case where p=1, and X is of full column rank (no linear dependencies among
predictor varia
STA 6207 Exam 3 Fall 2013
PRINT Name _
Unless stated otherwise, all Questions are based on the following 2 regression models, where SIMPLE
REGRESSION refers to the case where p=1, and X is of full column rank (no linear dependencies among
predictor variab
STA 6207 Exam 3 Fall 2010
PRINT Name _
Q.1. A researcher fits a multiple linear regression model, relating yield (Y) of a chemical process to
temperature (X1), and the amounts of 2 additives (X2 and X3, respectively). She fits the following model:
E Y 0 1
STA 6207 Exam 1 Fall 2014
PRINT Name _
Conduct all tests at the = 0.05 Significance level.
All Models on test are of the forms:
Scalar: Y 0 1 X 1 . p X p
~ N 0, 2 independent Matrix: Y X ~ N 0, 2I
Critical Values for t, 2, and F Distributions
F Distrib