Ten subjects read a paragraph consisting of seven sentences. The reading time (in seconds) for each sentence was the outcome measure. The predictors are the serial position of the sentence (Sp), the number of words in the sentences (Wrds), and the number of new arguments in the sentence (New).
(a) Rank subjects by their reading speeed .
dta <- read.table("readingtimes.txt", header = T)
head(dta)
## Snt Sp Wrds New S01 S02 S03 S04 S05 S06 S07 S08 S09
## 1 1 1 13 1 3.429 2.795 4.161 3.071 3.625 3.161 3.232 7.161 1.536
## 2 2 2 16 3 6.482 5.411 4.491 5.063 9.295 5.643 8.357 4.313 2.946
## 3 3 3 9 2 1.714 2.339 3.018 2.464 6.045 2.455 4.920 3.366 1.375
## 4 4 4 9 2 3.679 3.714 2.866 2.732 4.205 6.241 3.723 6.330 1.152
## 5 5 5 10 3 4.000 2.902 2.991 2.670 3.884 3.223 3.143 6.143 2.759
## 6 6 6 18 4 6.973 8.018 6.625 7.571 8.795 13.188 11.170 6.071 7.964
## S10
## 1 4.063
## 2 6.652
## 3 2.179
## 4 3.661
## 5 3.330
## 6 7.866
rank(colMeans(dta[,5:14]))
## S01 S02 S03 S04 S05 S06 S07 S08 S09 S10
## 5 4 2 3 10 9 8 7 1 6
(b) Estimate, on average, how long does it take to read a word.
mean(colMeans(dta[,5:14])/mean(dta$Wrds))
## [1] 0.3802173
END