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...

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The book is :

Design and Analysis of Experiments

Angela Dean, Daniel Voss, and Danel Dragulji_
Use the data in the book and r program to complete the homework



STAT3119-10 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,
stat3119-10-hw4-spring-2021-5jm2j4by.docx
Answered 1 days AfterFeb 08, 2021

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

Mohd answered on Feb 10 2021
148 Votes
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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 <- read_excel("react.xlsx")
first look of Data A comparison between the aural treatments and visual treatment. We have also considered elapsed time between cue and stimulus with their respective treatments(either visual or aural). 
react
## # A tibble: 18 x 3
## Treatments Reaction_time order_of_collection
##
## 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. Pay particular attention to the experimenter’s concerns about fatigue.
Boxplot for outliers As we can see from boxplot. There is no outliers present in...
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