Question

In: Statistics and Probability

A study compared three display panels used by air traffic controllers. Each display panel was tested...

A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel–emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The resulting data and analysis results are given below.

Display panel data
Emergency condition
Display panel 1 2 3 4
A 17 25 31 14
14 24 34 13
B 15 22 28 9
12 19 31 10
C 21 29 32 15
24 28 37 19
Two-way ANOVA results
Source of Variation DF SS MS F P
Panel 2 218.58 109.29 26.49 0.000
Condition 3 1247.46 15.82 100.80 0.000
Interaction 6 16.42 2.74 0.66 0.681
Error 12 49.50 4.13
Total 23 1531.96

Tasks:

  • Set up null and alternative hypotheses to (a) test the significance of display panel effect, (b) test the significance of emergency condition effects, and (c) test the interaction a between the two factors.
  • Justify the type of ANOVA (one-way or two-way) you will apply to test the hypotheses.
  • Interpret the p values in the results table for an accept/reject decision regarding the hypotheses.
  • State your conclusions including what the ANOVA results do not tell you and your needed actions as a researcher.

Solutions

Expert Solution


orchestra answered 2 years ago
Next > < Previous

Related Solutions

A study compared three display panels used by air traffic controllers. Each display panel was tested...
A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel-emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The following table gives the resulting data and the MINITAB output of a two-way ANOVA of the data. Emergency Condition Display Panel 1 2...
A study compared three display panels used by air traffic controllers. Each display panel was tested...
A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel-emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The following table gives the resulting data and the MINITAB output of a two-way ANOVA of the data. Emergency Condition Display Panel 1 2...
study compared three different display panels for use by air traffic controllers. Each display panel was...
study compared three different display panels for use by air traffic controllers. Each display panel was test in a simulated emergency condition; 12 highly trained air traffic controllers took part in the study. Four controllers were randomly assigned to each display panel. The time (in seconds) needed to stabilize the emergency condition was recorded. The results of are given below. Let μ, μB, and μC represent the mean times to stabilize the emergency conditions when using display panels A, B,...
A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions.
  A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel–emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The resulting data and analysis results are given below. Display panel data   Emergency condition Display panel 1 2 3 4 A 17...
A study measuring the fatigue of air traffic controllers resulted in proposals for modficiation and redesign...
A study measuring the fatigue of air traffic controllers resulted in proposals for modficiation and redesign of the controllers' workstation. After consideration of several designs for the workstation, three specific alternatives are selected as having the best potential for reducing controller stress. The key question is: To what extent do the three alternatives differ in terms of their effect on controller stress? A randomized block design is used to test the hypothesis of no difference in stress levels for the...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test thier ability to make basic decisions as they become increasingly sleep deprived. To test their abilities,a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12 hour, 24 hour, and 48 hour sleep deprivation, Higher scores indicate better decision-making skills. The table list the hypothetical results...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT