In: Statistics and Probability
A nursing audit was carried out for four populations of patients in a large community hospital. The total audit score for each patient reflects nursing performance for several basic areas (application of nursing procedures and promotion of total health, for example). The table below presents the total audit scores for five randomly selected patients on within each of the audited populations within the given hospital.
Medical |
Surgical |
Pediatrics |
Ob-Gyn |
75 |
75 |
70 |
50 |
65 |
80 |
70 |
65 |
50 |
85 |
60 |
70 |
60 |
70 |
75 |
70 |
70 |
90 |
80 |
75 |
The sample means: 64 80 71 66
Sample st deviations: 9.62 7.91 7.42 9.62
Perform analysis of variance on this data. The F-statistic for the ANOVA test, rounded to three decimal places, is
1 points
QUESTION 8
The P-value for the ANOVA test in number 7 is
A. |
between 0.05 and 0.10. |
|
B. |
greater than 0.10. |
|
C. |
less than 0.01. |
|
D. |
less than 0.05. |
1 points
QUESTION 9
Which one of the statements below is the best conclusion for your test in number 7?
A. |
The test shows that the differences in the mean scores are statistically significant but in looking at the descriptive summaries (sample means) we see that the differences are not practically significant. |
|
B. |
The test shows that the differences in mean scores are not statistically significant. |
|
C. |
The test allows us to conclude that the mean scores are not all the same, and descriptive summaries of the data (sample means) suggest the mean score for surgical nursing performance is highest. |
|
D. |
The test allows us to conclude that the mean scores are not all the same, but the mean scores for medical and Ob-Gyn patients are the same. |
1 points
QUESTION 10
The ANOVA test of the data in #7 is better than comparing the four populations of scores in six different two-sample tests (comparing all possible pairs) because
A. |
the conclusions from the six two-sample procedures might not agree. |
|
B. |
the two-sample tests can be one-sided or two sided and we don't know which alternatives are best. |
|
C. |
we can control the probability of making a type I error with a single ANOVA test but not with six separate tests, each of which could result in a Type I error. |
|
D. |
the conditions for two-sample procedures might not be met for all 6 pairs of scores. |
Sol:
Perform one way ANOVA in excel
Data >Data analysis>single factor ANOVA
you will get
Anova: Single Factor | ||||||
SUMMARY | ||||||
Groups | Count | Sum | Average | Variance | ||
Medical | 5 | 320 | 64 | 92.5 | ||
Surgical | 5 | 400 | 80 | 62.5 | ||
Pediatrics | 5 | 355 | 71 | 55 | ||
Ob-Gyn | 5 | 330 | 66 | 92.5 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 763.75 | 3 | 254.5833 | 3.366391 | 0.044836 | 3.238872 |
Within Groups | 1210 | 16 | 75.625 | |||
Total | 1973.75 | 19 |
The F-statistic for the ANOVA test, rounded to three decimal places, is
F=3.366
QUESTION 8
P value=0.0448
MARK OPTION
less than 0.05.
Solution9:
p<0.05
Reject Ho
Accept Ha
atleast one of the group means are different.
Groups | Average |
Medical | 64 |
Surgical | 80 |
Pediatrics | 71 |
Ob-Gyn | 66 |
The test allows us to conclude that the mean scores are not all the same, and descriptive summaries of the data (sample means) suggest the mean score for surgical nursing performance is highest.