Discussion Analysis Of Variance (ANOVA)

MA3010 – Statistics for Health Professions

Discussion 09.1: 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).

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A

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	818.2706	2	409.1353	1.7298909281	0.181885	3.07514
Within Groups	27198.57	115	236.5093043478
Total	28016.8406	117

B

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1056.2626	2	528.1313	2.2669739408	0.108159	3.07376
Within Groups	27257.2	117	232.9675213675
Total	28313.4626	119

C

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	852.3782	2	426.1891	2.0190059229	0.137274	3.07178
Within Groups	25330.63	120	211.0885833333
Total	26183.0082	122

D

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1937.851	2	968.9255	4.2926071619	0.015828	3.07178
Within Groups	27086.35	120	225.7195833333
Total	29024.201	122

E

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	278.0884	2	139.0442	0.5783449484	0.165332	3.06929
Within Groups	29811.76	124	240.4174193548
Total	30089.8484	126

F

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1863.01	2	931.505	3.8026934641	0.025327	3.0796
Within Groups	26700.56	109	244.959266055
Total	28563.57	111

G

Source of Variation	SS	df	MS	F	p-value	F crit
	781.034	2	390.517	1.7825464123	0.172634	3.07178
Within Groups	26289.38	120	219.0781666667
Total	27070.414	122

H

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1041.33	2	520.665	2.5092991998	0.085694	3.07376
Within Groups	24276.82	117	207.4941880342
Total	25318.15	119

I

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	2146.7056	2	1073.3528	4.5180042008	0.01283	3.07178
Within Groups	28508.68	120	237.5723333333
Total	30655.3856	122

J

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1656.5376	2	828.2688	3.6820848565	0.028158	3.07445
Within Groups	26093.69	116	224.9456034483
Total	27750.2276	118

K

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	972.7018	2	486.3509	2.2989484292	0.104732	3.07114
Within Groups	25597.99	121	211.5536363636
Total	26570.6918	123

L

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	968.589	2	484.2945	2.3999320386	0.095376	3.07731
Within Groups	22601.05	112	201.7950892857
Total	23569.639	114

M

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1844.0508	2	922.0254	4.0526965252	0.019962	3.07657
Within Groups	25708.53	113	227.5091150442
Total	27552.5808	115

N

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1166.7528	2	583.3764	2.3384227386	0.101012	3.07445
Within Groups	28939.02	116	249.4743103448
Total	30105.7728	118

O

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1562.6958	2	781.3479	3.686444508	0.028017	3.07376
Within Groups	24798.34	117	211.9516239316
Total	26361.0358	119

P

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	745.1258	2	372.5629	1.7740889332	0.173849	3.0681
Within Groups	26460.3	126	210.0023809524
Total	27205.4258	128

Q

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	803.2472	2	401.6236	1.7325586408	0.180984	3.06752
Within Groups	29439.81	127	231.8095275591
Total	30243.0572	129

R

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1068.0474	2	534.0237	2.4336156729	0.092038	3.07178
Within Groups	26332.36	120	219.4363333333
Total	27400.4074	122

S

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1503.3684	2	751.6842	3.6668825597	0.028512	3.07309
Within Groups	24189.14	118	204.9927118644
Total	25692.5084	120

T

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	705.3136	2	352.6568	1.5891850943	0.208827	3.08039
Within Groups	23966.33	108	221.910462963
Total	24671.6436	110

U

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1878.8744	2	939.4372	4.5682064964	0.012245	3.07178
Within Groups	24677.62	120	205.6468333333
Total	26556.4944	122

V

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	2178.7892	2	1089.3946	4.4868145809	0.013143	3.06929
Within Groups	30107.09	124	242.7991129032
Total	32285.8792	126

W

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1105.0486	2	552.5243	2.2162859876	0.113609	3.07445
Within Groups	28919.02	116	249.3018965517
Total	30024.0686	118

X

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	1720.6592	2	860.3296	4.2710624473	0.016206	3.07376
Within Groups	23567.57	117	201.4322222222
Total	25288.2292	119

Y

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	2061.5046	2	1030.7523	4.1509855247	0.017954	3.0681
Within Groups	31287.7	126	248.3150793651
Total	33349.2046	128

Z

Source of Variation	SS	df	MS	F	p-value	F crit
Between Groups	910.782	2	455.391	2.0244270107	0.136343	3.0681
Within Groups	28343.46	126	224.9480952381
Total	29254.242	128