The book is :Design and Analysis of ExperimentsAngela Dean, Daniel Voss, and Danel Dragulji_Use the...

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The book is :Design and Analysis of ExperimentsAngela Dean, Daniel Voss, and Danel Dragulji_Use the data in the book and r program to complete the homeworkSTAT3119-10 HW#4  Due Date: 2/11/2020 (Thursday) · Homework must be submitted to Assignment #4 on Blackboard · On the top right corner, write your name, date, and HW #. · All problem numbers refer to the problem from Dean, Voss, and Dragulijic (DVD) · Please summarize your results from statistical software such as R or SAS 1) (10 pts) (DVD #5.4) (L. Cai, T. Li, Nishant, and A. van der Kouwe, 1996) The reaction time pilot experiment was described in Exercise 4 of Chap. 4. The experimenters were interested in the different effects on the reaction time of the aural and visual cues and also in the different effects of the elapsed time between the cue and the stimulus. There were six treatment combinations:  1 = aural, 5 seconds 4 = visual, 5 seconds 2=aural,10seconds 5=visual,10seconds 3=aural,15seconds 6=visual,15seconds  The data are reproduced, together with their order of observation, in Table 5.17. The pilot experiment employed a single subject. Of concern to the experimenters was the possibility that the subject may show signs of fatigue. Consequently, fixed rest periods were enforced between every pair of observations.  (a) (8 pts) Check whether or not the assumptions on the one-way analysis of variance model (3.3.1) are approximately satisfied for these data. Pay particular attention to the experimenter’s concerns about fatigue.  (b) (2 pts) Suggest a way to design the experiment using more than one subject. (Hint: consider using subjects as blocks in the experiment). Data is on the books website,

Mohd · Accepted Answer

Untitled
Untitled
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2/10/2021
Q.a)
Answer:
Assumptions:
Check the form of model Check for outliers Dependence of Residuals Check for constant variance Homogeneity of variance All Importing Dataset
library(readxl)
library(ggplot2)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
react                         
##  1          1         0.204                   9
##  2          1         0.17                   10
##  3          1         0.181                  18
##  4          2         0.167                   3
##  5          2         0.182                   5
##  6          2         0.187                  12
##  7          3         0.202                  13
##  8          3         0.198                  16
##  9          3         0.236                  17
## 10          4         0.257                   7
## 11          4         0.279                  14
## 12          4         0.269                  15
## 13          5         0.283                   6
## 14          5         0.235                   8
## 15          5         0.26                   11
## 16          6         0.256                   1
## 17          6         0.281                   2
## 18          6         0.258                   4
summary(react)
##    Treatments  Reaction_time    order_of_collection
##  Min.   :1.0   Min.   :0.1670   Min.   : 1.00      
##  1st Qu.:2.0   1st Qu.:0.1898   1st Qu.: 5.25      
##  Median :3.5   Median :0.2355   Median : 9.50      
##  Mean   :3.5   Mean   :0.2281   Mean   : 9.50      
##  3rd Qu.:5.0   3rd Qu.:0.2595   3rd Qu.:13.75      
##  Max.   :6.0   Max.   :0.2830   Max.   :18.00
str(react)
## tibble [18 × 3] (S3: tbl_df/tbl/data.frame)
##  $ Treatments         : num [1:18] 1 1 1 2 2 2 3 3 3 4 ...
##  $ Reaction_time      : num [1:18] 0.204 0.17 0.181 0.167 0.182 0.187 0.202 0.198 0.236 0.257 ...
##  $ order_of_collection: num [1:18] 9 10 18 3 5 12 13 16 17 7 ...
A.Check whether or not the assumptions on the one-way analysis of variance model are approximately satisfied for these data.

STAT XXXXXXXXXXHW#4 Due Date: 2/11/2020 (Thursday) · Homework must be submitted to Assignment #4 on Blackboard · On the top right corner, write your name, date, and HW #. · All problem numbers refer...

Design and Analysis of Experiments

Answer To: STAT XXXXXXXXXXHW#4 Due Date: 2/11/2020 (Thursday) · Homework must be submitted to Assignment #4 on...

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