Discussion 08.1: Analysis of Variance (ANOVA)

 MA3010 – Statistics for Health Professions SU20 B – Section D01

 Discussion 08.1: Analysis of Variance (ANOVA)

 For this discussion forum, refer to the Excel file Discussion 8-1 Data Set that contains information on the following:

 In the healthcare profession, you will be presented with ANOVA tables using different forms of technology (i.e. SPSS, Minitab, Excel, SAS,  etc.). An important part of the analysis is to take the results from the ANOVA and make the proper inferences from it.

 1.Identify the worksheet (tab) that matches the first letter of your LAST name (i.e., if your last name were “Fudd” you would use the data from  the “F” tab). This will be the source data you will use to answer your remaining questions for this initial post.

 2.From your ANOVA table: What is the test statistic?

 3.From your ANOVA table: What is the p-value?

 4.Assuming a level of significance at 0.05, would you reject or fail to reject your null hypothesis? Explain how you came to this conclusion  (i.e., either use the test-statistic/critical value or p-value to support your claim).

2

>A

S

ource of

V

ariation

SS df

M

S

F

p-value F crit

B

etween

G

roups

818.2706

2

409.1353 1.7298909281 0.181885 3.07514

W

ithin Groups

27198.57 115 236.5093043478

T

otal

28016.8406 117

B

SS df

F p-value F crit

2

159

117

																									Source of Variation																										MS
																								Between Groups	1056.2626	528.1313	2.2669739408	0.	108				3.07376
																									Within Groups	27257.2	232.9675213675
																									Total	28313.4626				119

C

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

852.3782	426.1891	2.0190059229	0.137274						3.07178
25330.63							120	211.0885833333
26183.0082						122

D

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07178

Within Groups

120

Total

122

1937.851	968.9255	4.2926071619	0.015828
27086.35	225.7195833333
29024.201

E

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

278.0884	139.0442	0.5783449484	0.165332		3.06929
29811.76		124	240.4174193548
30089.8484					126

F

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

1863.01	931.505	3.8026934641	0.025327	3.0796
26700.56	109	244.959266055
28563.57	111

G

Source of Variation SS df MS F p-value F crit

2

3.07178

Within Groups

120

Total

122

781.034	390.517	1.7825464	123	0.172634
26289.38	219.0781666667
27070.414

H

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07376

Within Groups

117

Total

119

1041.33	520.665	2.5092991998	0.085694
24276.82	207.4941880342
25318.15

I

Source of Variation SS df MS F p-value F crit

Between Groups

2

3

3.07178

Within Groups

120

Total

122

2146.7056	1073.3528	4.5180042008	0.0			128
28508.68	237.5723333333
30655.3856

J

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

1656.5376	828.2688	3.6820848565	0.028158			3.07445
26093.69			116	224.9456034483
27750.2276				118

K

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

123

972.7018	486.3509	2.2989484292	0.104732	3.07	114
25597.99	121	211.5536363636
26570.6918

L

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

114

968.589	484.2945	2.3999320386	0.095376	3.07731
22601.05	112	201.7950892857
23569.639

M

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

115

1844.0508	922.0254	4.0526965252	0.019962	3.07657
25708.53	113	227.5091150442
27552.5808

N

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07445

Within Groups

116

Total

118

1166.7528	583.3764	2.3384227386	0.101012
28939.02	249.4743103448
30105.7728

O

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07376

Within Groups

117

Total

119

1562.6958	781.3479	3.686444508	0.028017
24798.34	211.9516239316
26361.0358

P

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

126

Total

128

745.1258	372.5629	1.7740889332	0.173849			3.0681
26460.3	210.0023809524
27205.4258

Q

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

Total

803.2472	401.6236	1.7325586408	0.180984	3.06752
29439.81	127	231.8095275591
30243.0572	129

R

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07178

Within Groups

120

Total

122

1068.0474	534.0237	2.4336156729	0.092038
26332.36	219.4363333333
27400.4074

S

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

118

Total

120

1503.3684	751.6842	3.6668825597	0.028512	3.07309
24189.14	204.9927118644
25692.5084

T

Source of Variation SS df MS F p-value F crit

Between Groups

2

Within Groups

108

Total

705.3136	352.6568	1.5891850943	0.208827	3.08039
23966.33	221.910462963
24671.6436	110

U

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07178

Within Groups

120

Total

122

1878.8744	939.4372	4.5682064964	0.012245
24677.62	205.6468333333
26556.4944

V

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.06929

Within Groups

124

Total

126

2178.7892	1089.3946	4.4868145809	0.013143
30107.09	242.7991129032
32285.8792

W

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07445

Within Groups

116

Total

118

1105.0486	552.5243	2.2162859876	0.113609
28919.02	249.3018965517
30024.0686

X

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.07376

Within Groups

117

Total

119

1720.6592	860.3296	4.2710624473	0.016206
23567.57	201.4322222222
25288.2292

Y

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.0681

Within Groups

126

Total

128

2061.5046	1030.7523	4.1509855247	0.017954
31287.7	248.3150793651
33349.2046

Z

Source of Variation SS df MS F p-value F crit

Between Groups

2

3.0681

Within Groups

126

Total

128

910.782	455.391	2.0244270107	0.136343
28343.46	224.9480952381
29254.242