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.
Since this a two way ANOVA analysis, three hypotheses are being tested.
The null and alternate hypotheses are defined as,
Null Hypothesis 1: The population means of display panel are equal.
Alternate Hypothesis 1: There is a statistically significant difference among population means of display panel.
Null Hypothesis 2: The population means of emergency condition are equal.
Alternate Hypothesis 2: There is a statistically significant difference among population means of emergency condition.
Null Hypothesis 3: There is no interaction between display panel and emergency condition.
Alternate Hypothesis 2: There is a statistically significant interaction between display panel and emergency condition.
a)
From the ANOVA table, the F statistic and P- value for display panel are,
F-stat | 26.49 |
P-value | 0.00 |
Since,
b)
From the ANOVA table, the F statistic and P- value for emergency condition are,
F-stat | 100.8 |
P-value | 0.00 |
Since,
c)
From the ANOVA table, the F statistic and P- value for emergency condition are,
F-stat | 0.66 |
P-value | 0.681 |
Since,
Hence there is a statistically significant interaction between display panel and emergency condition.
ANOVA result doesn't tell which means are statistically different. ANOVA doesn't compare means pairwise, it only tell atleast one one population mean is different if null hypothesis is rejected.
A study compared three display panels used by air traffic controllers. Each display panel was tested...
Emergency Condition Display Panel 1 2 3 4 A 18 26 33 14 18 26 36 14 B 15 22 30 12 11 18 31 5 C 22 28 35 10 23 32 38 15 Two-way ANOVA: Time versus Panel, Condition Source DF SS MS F P Panel 2 144.542 144.542 25.32 .0000 Condition 3 1,647.12 549.042 96.18 .0000 Interaction 6 24.25 4.042 .71 .6498 Error 12 68.50 5.708 Total 23 2,028.96 Tabulated statistics: Panel, Condition Rows: Panel Columns: Condition...
please complete the entire case study pertaining to cirrhosis and nursing, thank you. 3 Cirrhosis John Richards, 45 years old Primary Concept Nutrition Interrelated Concepts (In order of emphasis) I. Fluid and Electrolyte Balance 2. Perfusion 3. Cognition 4. Addiction 5. Clinical Judgment 6. Patient Education 7. Communication 8.Collaboration O 2016 Keith Rischer/www.KeithRN.com UNFOLDING Reasoning Case Study: STUDENT History of Present Problem: John Richards is a 4S year-old male who Cirrhosis presents to the emergency department (ED) with abdominal pain...