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).
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
