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:

NormalSleep-DeprivedSleep-Deprived Sleep Deprived

Sleepfor 24 Hoursfor 48 Hoursfor 72 Hours

85606055

83584847

7676 3827

64524741

75635043

In the space below conduct pairwise comparisons 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)

Group4321

42.648.661.876.6

42.6------6.019.234

48.6---13.228

61.8-----14.8

76.6----

Critical difference Tukey =

Tukey conclusions:

Neuman Keuls (show all work for Neuman Keuls below)

Group4321

42.648.661.876.6

42.6------6.019.234

48.6---13.228

61.8-----14.8

76.6----

Critical difference NK4 =

Critical difference NK3 =

Critical difference NK2 =

Neuman Keuls conclusions

LSD (show all work for LSD below)

Group4321

42.648.661.876.6

42.6------6.019.234

48.6---13.228

61.8-----14.8

76.6----

Critical difference LSD =

LSD conclusions:

Bonferroni (show all work for Bonferroni below)

Group4321

42.648.661.876.6

42.6------6.019.234

48.6---13.228

61.8-----14.8

76.6----

Critical difference Bonferroni =

Bonferroni conclusions