Please solve this problem using R program, provide the code and output, again so
ID: 3580024 • Letter: P
Question
Please solve this problem using R program, provide the code and output, again solve it with R The data called ”plasma” from Anderson et al. (1981) consists of measurements of plasma concentrations in micromols/liter from 10 subjects at times of 8 am, 11am, 2 pm, 5 pm, and 8 pm. Answer the following questions using R.
(a) Restructure the data into a 50 by 3 matrix form first so that you can capture the individual characteristics.
(b) Analyze the data in a 1-way ANOVA model.
data is
93 121 112 117 121
116 135 114 98 135
125 137 119 105 102
144 173 148 124 122
105 119 125 91 133
109 83 109 80 104
89 95 88 91 116
116 128 122 107 119
151 149 141 126 138
137 139 125 109 107
Explanation / Answer
By using r software we can analyse data.
Null and alternative hypothesis
H0 :µ1= µ2= µ3= µ4 Vs Ha : at least one of the mean is different.
R codes and output.
data2<-read.csv(file.choose(),header = T)
> head(data2)
plasma time
1 93 am8
2 116 am8
3 125 am8
4 144 am8
5 105 am8
6 109 am8
> attach(data2)
The following object is masked _by_ .GlobalEnv:
plasma
> anova<-aov(formula = plasma~time,data = data2)
> summary(anova)
Df Sum Sq Mean Sq F value Pr(>F)
time 4 2804 701.0 1.984 0.113
Residuals 45 15901 353.4
P value > 0.05 we do not reject null hypothesis.