WK 5 dis Data
This student completed a Rapid Response Team (RRT) analysis with a sample of 75 completed RRTs. The student provided a survey on completed Rapid Response Team (RRT) calls asking activating nurses to respond to seven questions about the RRT, indicating their level of satisfaction with the RRT call. Each of the seven questions was measured on a 5-point scale where 1 indicated strong dissatisfaction with the RRT process and 5 equaled a very strong satisfaction with the way the RRT was conducted. Thus, the highest possible score on the RRT evaluation survey was 35 (5 x 7), and the lowest possible score was 7 (i.e., 7 x 1). Higher scores indicate higher satisfaction with the RRT response, and lower scores indicate lower satisfaction with the RRT response.
This sample had 75 observations. This time, there were no entries in the “other” category, only cardiac, respiratory, and neurology.
Description of the Call 1= cardiac 2= respiratory 3= neurology 4= other
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Case Processing Summary |
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Description of the Call 1= cardiac 2= respiratory 3= neurology 4= other |
Cases |
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Valid |
Missing |
Total |
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N |
Percent |
N |
Percent |
N |
Percent |
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RRT Evaluation |
cardiac |
42 |
100.0% |
0 |
0.0% |
42 |
100.0% |
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respiratory |
12 |
100.0% |
0 |
0.0% |
12 |
100.0% |
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neurology |
21 |
100.0% |
0 |
0.0% |
21 |
100.0% |
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Descriptives |
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Description of the Call 1= cardiac 2= respiratory 3= neurology 4= other |
Statistic |
Std. Error |
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RRT Evaluation |
cardiac |
Mean |
30.0238 |
.99095 |
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95% Confidence Interval for Mean |
Lower Bound |
28.0225 |
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Upper Bound |
32.0251 |
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5% Trimmed Mean |
30.8466 |
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Median |
31.0000 |
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Variance |
41.243 |
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Std. Deviation |
6.42210 |
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Minimum |
5.00 |
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Maximum |
35.00 |
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Range |
30.00 |
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Interquartile Range |
7.00 |
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Skewness |
-2.152 |
.365 |
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Kurtosis |
5.323 |
.717 |
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respiratory |
Mean |
31.0000 |
.95346 |
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95% Confidence Interval for Mean |
Lower Bound |
28.9014 |
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Upper Bound |
33.0986 |
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5% Trimmed Mean |
31.0000 |
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Median |
31.0000 |
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Variance |
10.909 |
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Std. Deviation |
3.30289 |
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Minimum |
27.00 |
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Maximum |
35.00 |
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Range |
8.00 |
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Interquartile Range |
7.00 |
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Skewness |
.000 |
.637 |
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Kurtosis |
-1.872 |
1.232 |
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neurology |
Mean |
13.9524 |
2.81955 |
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95% Confidence Interval for Mean |
Lower Bound |
8.0709 |
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Upper Bound |
19.8339 |
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5% Trimmed Mean |
13.5582 |
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Median |
7.0000 |
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Variance |
166.948 |
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Std. Deviation |
12.92082 |
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Minimum |
.00 |
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Maximum |
35.00 |
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Range |
35.00 |
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Interquartile Range |
21.50 |
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Skewness |
.718 |
.501 |
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Kurtosis |
-.999 |
.972 |
Notice the difference in the means by type of RRT. It seems as if there is a difference. But remember, this is just descriptive statistics. To see if there is statistical significance, we need an inferential test. This time, I can assure you that the data meets the assumptions of the one-way ANOVA test, which is what we are going to do next.
One-Way
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ANOVA |
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RRT Evaluation |
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Sum of Squares |
df |
Mean Square |
F |
Sig. |
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Between Groups |
4020.391 |
2 |
2010.196 |
28.104 |
<.001 |
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Within Groups |
5149.929 |
72 |
71.527 |
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Total |
9170.320 |
74 |
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Now, there is a lot of information in these results, most of which you do not see mentioned in a published study that used ANOVA. Sometimes, you see the F statistic (28.104). In Salkind and Frey (2019), you can learn how to actually do an ANOVA in Excel, which is for your information. In this course, we are most concerned about understanding the basic elements of the test and how to interpret it.
So, the F statistic is accompanied by the all-important p value in the table above, and as you can see, it indicates a statistically significant result. With a p value of <.001, we can be confident that the differences are not due to chance and more likely to some factor. But the ANOVA level of significance does NOT tell us WHERE those differences are. Is it between cardiac and respiratory, cardiac and neurology, or respiratory and neurology? Three groups, three possible comparisons.
A one-way ANOVA test is used when there is more than one comparison (that would be two groups and an independent sample t test). As we have three groups, we also have three comparisons. So, a post hoc test helps to fathom just where those comparisons are located.
Post Hoc Tests
There are a number of different types of post hoc comparisons. I chose the Scheffe test.
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Multiple Comparisons |
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Dependent Variable: RRT Evaluation |
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Scheffe |
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(I) Description of the Call 1= cardiac 2= respiratory 3= neurology 4= other |
(J) Description of the Call 1= cardiac 2= respiratory 3= neurology 4= other |
Mean Difference (I-J) |
Std. Error |
Sig. |
95% Confidence Interval |
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Lower Bound |
Upper Bound |
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cardiac |
respiratory |
-.97619 |
2.76832 |
.940 |
-7.8958 |
5.9434 |
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neurology |
16.07143* |
2.26032 |
<.001 |
10.4216 |
21.7212 |
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respiratory |
cardiac |
.97619 |
2.76832 |
.940 |
-5.9434 |
7.8958 |
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neurology |
17.04762* |
3.06049 |
<.001 |
9.3977 |
24.6975 |
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neurology |
cardiac |
-16.07143* |
2.26032 |
<.001 |
-21.7212 |
-10.4216 |
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respiratory |
-17.04762* |
3.06049 |
<.001 |
-24.6975 |
-9.3977 |
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*. The mean difference is significant at the 0.05 level. |
As you can see, the Scheffe post hoc test computes the difference in the means and then calculates the significance level. (Behind the scenes in the statistical software, there are actually several independent sample t tests that make these two-group comparisons.)
Note the lack of statistical significance between cardiac and respiratory. That is likely because the difference was so small—less than a point. You would need a huge sample, far greater than 75 cases, to be able to see this statistically. But notice that the difference between cardiac and neurology is much bigger, and the p value is also statistically significant ( p <.001). Finally, notice that the difference between respiratory and neurology is also statistically significant (also with a p value of < .001).