There is a concern expressed that the general dental practitioners are more willing to work for NHS (National Health Service) after qualification however, later they choose private practice after gaining professional experience. To verify this concern, data regarding how many years the dentists have been practicing since qualification was collected for three sample groups of dentists: 1^{st}: The Dentists working in National Health Service only, 2^{nd}: The Dentists working in private practice only and 3^{rd}: the Dentists working in National Health Service and Private practice.
Thus Null hypothesis H0: The mean of the different groups will be equal
Alternative Hypothesis H1: The mean of the different groups will not be equal
The data collected is given below
NHS only 
Private only 
NHS and Private 
12 
15 
5 
27 
26 
16 
1 
38 
38 
26 
7 
24 
4 
33 
4 
6 
25 
42 
18 
12 
13 
23 
42 
22 
3 
31 
2 
10 
22 
28 
2 
16 
32 
3 
37 
37 
1
The scatter plot diagram of the above data is given below where 1 is the sample of dentists working in NHS only, 2 is the sample of dentists working in private practice only and 3 is the sample of dentists working in NHS and private practice. Each group has a sample of 12 dentists and the number of years they have practiced since qualification is noted. The each sample group is plotted on the x axis while the number of years they have practiced since qualification is on the y axis.
2
To find the one way analysis of variance
We know for the calculation of one way ANOVA, we need to calculate for each group mean and ∑ (X  X0)^2, where X is the sample data and X0 is the mean of the sample.
Thus, calculating the values for each group we have,
NHS only 
Private only 
NHS and Private 

Data 
(X  X0)^2 
Data 
(X  X0)^2 
Data 
(X  X0)^2 

12 
0.56 
15 
106.78 
5 
286.17 

27 
248.06 
26 
0.44 
16 
35.01 

1 
105.06 
38 
160.44 
38 
258.67 

26 
217.56 
7 
336.11 
24 
4.34 

4 
52.56 
33 
58.78 
4 
321.01 

6 
27.56 
25 
0.11 
42 
403.34 

18 
45.56 
12 
177.78 
13 
79.51 

23 
138.06 
42 
277.78 
22 
0.01 

3 
68.06 
31 
32.11 
2 
396.67 

10 
1.56 
22 
11.11 
28 
37.01 

2 
85.56 
16 
87.11 
32 
101.67 

3 
68.06 
37 
136.11 
37 
227.51 

Mean 
11.25 
25.33333 
21.91667 

∑(X  X0)^2 
1058.25 
1384.667 
2150.917 
We need to calculate mean and ∑ (X  X0) ^2 for overall data as well.
Overall data 
(X  X0)^2 
12 
56.25 
27 
56.25 
1 
342.25 
26 
42.25 
4 
240.25 
6 
182.25 
18 
2.25 
23 
12.25 
3 
272.25 
10 
90.25 
2 
306.25 
3 
272.25 
15 
20.25 
26 
42.25 
38 
342.25 
7 
156.25 
33 
182.25 
25 
30.25 
12 
56.25 
42 
506.25 
31 
132.25 
22 
6.25 
16 
12.25 
37 
306.25 
5 
210.25 
16 
12.25 
38 
342.25 
24 
20.25 
4 
240.25 
42 
506.25 
13 
42.25 
22 
6.25 
2 
306.25 
28 
72.25 
32 
156.25 
37 
306.25 
Mean = 19.5 

∑(X  X0)^2 = 5889 
Thus summarizing the overall data we have
NHS only 
Private only 
NHS and Private 
Overall 

Mean 
11.25 
25.33333 
21.91667 
19.5 
n 
12 
12 
12 
36 
Sum X 
135 
304 
263 
702 
∑(XX0)^2 
1058.25 
1384.667 
2150.917 
5889 
Thus difference within the group = 1058.25 + 1384.67 + 2150.91 = 4593.83
And the difference between the groups = 5889 – 4593.83 = 1295.17
The degree of freedom df for between group = 3 1 = 2, the degree of freedom df for within groups = (12 1) + (12 1) + (12 1) = 33. Thus, total degree of freedom = 33 + 2 =35
Mean is calculated by dividing sum of squares by df. (Laerd Statistics , 2013)
F = mean between groups/ mean within groups
Sum of squares 
df 
Mean 
F 

Between Group 
1295.17 
2 
647.59 
4.65 
Within Group 
4593.83 
33 
139.21 

Total 
5889 
35 
From F table for 95% confidence level we have, F critical = 3.284
F > F critical. Thus we reject the null hypothesis.
Thus we can say that there exist significant differences in the mean of the three groups. (Roberts, 2008)
c)
From the analysis done above we can conclude that the mean of the three samples which are 1^{st}: The Dentists working in National Health Service only, 2^{nd}: The Dentists working in private practice only and 3^{rd}: the Dentists working in National Health Service and Private practice are significantly different i.e. the number of years practiced by the dentist in the three samples is different and we can say that number of years of practice by dentists in National Health Service and private are different. (Laerd Statistics , 2013)
d)
There is a significant difference among the mean of the number of years of practice by dentists in National Health Service and private. By looking at the mean values of the number of years of practice by dentists, it can be said that the number of years of practice by dentists in private is more than the number of years of practice by dentists in NHS as the mean value of the sample for private only is more than two times the mean vale for NHS only. Thus we can conclude that the dentist choose private practice after gaining professional experience.
Penny, H 2006, Analysis of Variance, viewed 17 August 2016, <https://www.fil.ion.ucl.ac.uk/~wpenny/publications/spmbook/anova.pdf>
Roberts, M 2008, Analysis of Variance, Routledge.
Laerd Statistics 2013, Oneway ANOVA, viewed 17 August 2016, <https://statistics.laerd.com/statisticalguides/onewayanovastatisticalguide.php>
The Pennsylvania State University 2016, Five Step Hypothesis Testing Procedure, viewed 17 August 2016, <https://onlinecourses.science.psu.edu/stat200/node/67>
To export a reference to this article please select a referencing stye below.
Assignment Hippo (2022) . Retrive from https://assignmenthippo.com/sampleassignment/nationalhealthserviceanalysisassessmentanswer
"." Assignment Hippo ,2022, https://assignmenthippo.com/sampleassignment/nationalhealthserviceanalysisassessmentanswer
Assignment Hippo (2022) . Available from: https://assignmenthippo.com/sampleassignment/nationalhealthserviceanalysisassessmentanswer
[Accessed 26/09/2022].
Assignment Hippo . ''(Assignment Hippo,2022) https://assignmenthippo.com/sampleassignment/nationalhealthserviceanalysisassessmentanswer accessed 26/09/2022.
Talk to our expert to get the help with National Health Service : Analysis Assessment Answers from Assignment Hippo Experts to complete your assessment on time and boost your grades now
The main aim/motive of the finance assignment help services is to get connect with a greater number of students, and effectively help, and support them in getting completing their assignments the students also get find this a wonderful opportunity where they could effectively learn more about their topics, as the experts also have the best team members with them in which all the members effectively support each other to get complete their diploma assignment help Australia. They complete the assessments of the students in an appropriate manner and deliver them back to the students before the due date of the assignment so that the students could timely submit this, and can score higher marks.Â The experts of the assignment help services at www.assignmenthippo.com are so much skilled, capable, talented, and experienced in their field and use our best and free Citation Generator and cite your writing assignments, so, for this, they can effectively write the best economics assignment help services.
Want to order fresh copy of the Sample National Health Service : Analysis Assessment Answers? online or do you need the old solutions for Sample National Health Service : Analysis Assessment Answer, contact our customer support or talk to us to get the answers of it.
Assignment Help AustraliaWant to order fresh copy of the National Health Service : Analysis Assessment Answers? online or do you need the old solutions for Sample National Health Service : Analysis Assessment Answer, contact our customer support or talk to us to get the answers of it.
Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.
Get reliable and unique assignments by using our 100% plagiarismfree.
Get connected 24*7 with our Live Chat support executives to receive instant solutions for your assignment.
Get Help with all the subjects like: Programming, Accounting, Finance, Engineering, Law and Marketing.
Get premium service at a pocketfriendly rate at AssignmentHippo
I was struggling so hard to complete my marketing assignment on brand development when I decided to finally reach to the experts of this portal. They certainly deliver perfect consistency and the desired format. The content prepared by the experts of this platform was simply amazing. I definitely owe my grades to them.
Get instant assignment help