TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2020W/HW10.2

Processors - Part 1

The heating of five different types of processors is to be compared. For each type of processor the temperature (in celsius) was measured multiple times (each time a new processor of the same type was used). The technical setup was the same throughout. The data is stored in the file temperatures.Rdata

• (a)  Plot the data using a stripchart
• (b)  For each group add the mean and the standard error of the mean

• (c)  From what you see in the plot, would you say that the shift between the groups happened easily if the data was sampled from the same distribution?

Lösungsvorschlag von Friday

--Friday Sa 30 Jan 2021 17:41:53 CET

# Statistics and Probability - HW #10
# Friday 
# Duedate: 14.12.2020

# Problem 2 - Processors - Part 1
# The heating of five different types of processors is to be compared. For 
# each type of processor the temperature (in celsius) was measured multiple 
# times (each time a new processor of the same type was used). The technical 
# setup was the same throughout. The data is stored in the file 
# temperatures.Rdata

load("temperatures.Rdata")
(par(mfrow=c(1,1)))


# Problem 2a)
# Plot the data using a stripchart
stripchart(temp, 
           main = "Processors Temperatures",
           ylab= "processors",
           xlab= "temperatures (in °C)",
           jitter = 0.1, 
           method='jitter', 
           pch=1,
           col = rainbow(5, v=0.7)
           #col = c('blue', 'seagreen', 'tan3', 'purple', 'slategray')
           )

# Problem 2b)
# For each group add the mean and the standard error of the mean
for (i in 1:5) {
  md = mean(temp[[i]])
  sem = sd(temp[[i]])/sqrt(length(temp[[i]]))
  rect(md-sem, i-0.15, md+sem, i+0.15, density=10, col='pink')
  lines(c(md,md), c(i-0.2, i+0.2), col='red', lwd=2)
}

# Problem 2c)
# From what you see in the plot, would you say that the shift between the 
# groups happened easily if the data was sampled from the same distribution?

# No, as as the means are quite "far" apart (multiple sem).