Randomized Incomplete Block Design
Randomized Incomplete Block Design
Stepping and Heart Rate (Data are Missing By Design)
Data Source: DASL (Data and Stories Library) Carnegie Mellon Institute
Description: An experiment was conducted by students at The Ohio State University in the fall of 1993 to explore the nature of the relationship between a person's heart rate and the frequency at which that person stepped up and down on steps of various heights. The response variable, heart rate, was measured in beats per minute. There were two different step heights: 5.75 inches (coded as 0), and 11.5 inches (coded as 1). There were three rates of stepping: 14 steps/min. (coded as 0), 21 steps/min. (coded as 1), and 28 steps/min. (coded as 2). This resulted in six possible height/frequency combinations. Each subject performed 5 of the 6 possible combinations, in random order. Each subject performed the activity for three minutes. Subjects were kept on pace by the beat of an electric metronome. One experimenter counted the subject's pulse for 20 seconds before and after each trial. The subject always rested between trials until her or his heart rate returned to close to the beginning rate. Another experimenter kept track of the time spent stepping. Each subject was always measured and timed by the same pair of experimenters to reduce variability in the experiment. Each pair of experimenters/subject was treated as a block.
Number of cases: 30. (Not included in Lecture Notes).
Study Design: Table Entries are Order of Combination
| | | Combination | | | |
| | |(first value indicates Height of step, second indcates | | | |
| | |rate of stepping ) | | | |
| | |00 |01 |02 |10 |11 |12 |
|Subject/Exp | | | | | | | |
|Block |1 |4 |2 |5 |3 |1 |-- |
| |2 |1 |2 |5 |4 |-- |3 |
| |3 |-- |2 |4 |3 |1 |5 |
| |4 |4 |-- |1 |3 |5 |2 |
| |5 |1 |4 |2 |-- |3 |5 |
| |6 |4 |3 |-- |2 |5 |1 |
Variable Descriptions:
1. Order: the overall performance order of the trial
2. Block: the subject and experimenters' block number
3. Height: 0 if step at the low (5.75") height, 1 if at the high (11.5") height
4. Frequency: the rate of stepping. 0 if slow (14 steps/min), 1 if medium (21 steps/min), 2 if high (28 steps/min)
5. Rest_HR: the resting heart rate of the subject before a trial, in beats per minute
6. HR: the final heart rate of the subject after a trial, in beats per minute
Command File: Stepping.sas
data step;
input
Order Block Height Freq Rest_HR HR;
cards;
16 2 0 0 60 75
18 2 0 1 63 84
19 2 1 2 69 135
21 2 1 0 69 108
25 2 0 2 69 93
17 4 1 1 96 141
20 4 1 0 87 120
22 4 0 0 90 99
23 4 1 2 93 153
27 4 0 2 87 129
24 3 1 1 72 99
26 3 0 1 69 93
28 3 1 0 78 93
29 3 0 2 72 99
30 3 1 2 78 129
1 5 0 0 87 93
2 1 1 1 87 111
3 6 1 2 81 120
4 5 0 2 75 123
5 1 0 1 81 96
6 6 1 0 84 99
7 1 1 0 84 99
8 5 1 1 90 129
9 6 0 1 75 90
10 1 0 0 78 87
11 6 0 0 84 84
12 5 0 1 90 108
13 1 0 2 78 96
14 6 1 1 84 90
15 5 1 2 90 147
;
title "Lab Example2: Randomized Incomplete Block";
proc mixed data=step;
class block height freq;
model hr = height freq height*freq;
random int / subject=block vcorr;
lsmeans height*freq/ slice=height slice=freq;
estimate "Mean ht 0 freq 0" int 1 height 1 0 freq 1 0 0
height*freq 1 0 0 0 0 0;
estimate "Freq 0: ht 0 vs 1" height 1 -1
height*freq 1 0 0 -1 0 0; run;
Lab Example2: Randomized Incomplete Block
The Mixed Procedure
Model Information
Data Set WORK.STEP
Dependent Variable HR
Covariance Structure Variance Components
Subject Effect Block
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Containment
Class Level Information
Class Levels Values
Block 6 1 2 3 4 5 6
Height 2 0 1
Freq 3 0 1 2
Dimensions
Covariance Parameters 2
Columns in X 12
Columns in Z Per Subject 1
Subjects 6
Max Obs Per Subject 5
Number of Observations
Number of Observations Read 30
Number of Observations Used 30
Number of Observations Not Used 0
Iteration Evaluations -2 Res Log Like Criterion
0 1 204.33612092
1 1 183.52381478 0.00000000
Convergence criteria met.
Estimated V Correlation Matrix for Block 1
Row Col1 Col2 Col3 Col4 Col5
1 1.0000 0.7665 0.7665 0.7665 0.7665
2 0.7665 1.0000 0.7665 0.7665 0.7665
3 0.7665 0.7665 1.0000 0.7665 0.7665
4 0.7665 0.7665 0.7665 1.0000 0.7665
5 0.7665 0.7665 0.7665 0.7665 1.0000
Covariance Parameter Estimates
Cov Parm Subject Estimate
Intercept Block 149.57
Residual 45.5763
Fit Statistics
-2 Res Log Likelihood 183.5
AIC (smaller is better) 187.5
AICC (smaller is better) 188.1
BIC (smaller is better) 187.1
Type 3 Tests of Fixed Effects
Num Den
Effect DF DF F Value Pr > F
Height 1 19 74.85 ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- review chapter 5 and 6 los angeles mission college
- hearth n home
- dhs 0069 foster care juvenile justice action summary
- reading assignment sas textbook chapter 2
- chapter 6 sinusoidal functions opentextbookstore
- cp7e ch 9 problems
- arcat free building product cad details bim specs and
- randomized incomplete block design
Related searches
- complete and incomplete sentences pdf
- complete or incomplete sentence worksheet
- identifying complete and incomplete sentences
- complete vs incomplete sentences
- complete or incomplete sentences
- incomplete sentences for kids
- incomplete colonoscopy due to poor prep
- what is an incomplete sentence
- incomplete colonoscopy icd 10 code
- how to code incomplete colonoscopy
- incomplete bowel prep icd 10
- icd incomplete colonoscopy