A sleep researcher conducts an experiment to determine whether sleep loss affects the ability to maintain sustained attention. Fifteen individuals are randomly divided into the following three groups of 5 subjects each: group 1, which gets the normal amount of sleep (7-8 hours); group 2, which is sleep-deprived for 24 hours; group 3, which is sleep-deprived for 48 hour. And group 4 which is sleep deprived for 72 hours. All four groups are tested on same auditory vigilance task.Subjects are presented with half-second tones spaced at irregular intervals over a 1-hour duration.Occasionally, one of the tones is slightly shorter than the rest. The subject's task is to detect the shorter tones. The following percentages of correct detections were observed:

Normal Sleep-Deprived Sleep-Deprived Sleep Deprived

Sleep for 24 Hours for 48 Hours for 72 Hours

85 60 60 55

83 58 48 47

76 76 38 27

64 52 47 41

75 63 50 43

using the Tukey, Neuman Keuls, LSD and Bonferroni for the sleep study above. Place the work for each test (show all work) below the label for each test and be specific when you state you conclusions.

Tukey test (show all work for Tukey below)

Group 4 3 2 1

42.6 48.6 61.8 76.6

42.6 ------ 6.0 19.2 34

48.6 --- 13.2 28

61.8 ----- 14.8

76.6 ----

Tukey CD=

Tukey conclusionns

Neuman Keuls (show all work for Neuman Keuls below)

Group 4 3 2 1

42.6 48.6 61.8 76.6

42.6 ------ 6.0 19.2 34

48.6 --- 13.2 28

61.8 ----- 14.8

76.6 ----

NK4cd =

NK3cd =

NK2cd =

Neuman Keuls conclusions

LSD (show all work for LSD below)

Group 4 3 2 1

42.6 48.6 61.8 76.6

42.6 ------ 6.0 19.2 34

48.6 --- 13.2 28

61.8 ----- 14.8

76.6 ----

LSD cd =

LSD conclusions

Bonferroni (show all work for Bonferroni below)

Group 4 3 2 1

42.6 48.6 61.8 76.6

42.6 ------ 6.0 19.2 34

48.6 --- 13.2 28

61.8 ----- 14.8

76.6 ----

BON CD=

bon conclusions