One-Way ANOVA and Grouping Information using Turkey Method

DBlaylock1979
One-wayANOVAusingTukeyMethod.xlsx

Number of Shots

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
LOT # 12 78 6.5 13
(ATC) Number of Shots 12 176 14.6666666667 27.1515151515
(RIA) Number of Shots 12 164 13.6666666667 20.7878787879
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 476.2222222222 2 238.1111111111 11.7220288414 0.0001424883 3.284917651
Within Groups 670.3333333333 33 20.3131313131
Total 1146.5555555556 35

Mean Velocity

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
LOT # 12 78 6.5 13
(ATC) Mean Velocity 12 26549 2212.4166666667 302401.537878788
(RIA) Mean Velocity 12 26556 2213 309462.909090909
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 38938843.7222222 2 19469421.8611111 95.4574578171 0 3.284917651
Within Groups 6730651.91666667 33 203959.148989899
Total 45669495.6388889 35

Standard Deviation

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
LOT # 12 78 6.5 13
(ATC) Standard Deviation 12 130 10.8333333333 52.1515151515
(RIA) Standard Deviation 12 126 10.5 72.2727272727
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 139.5555555556 2 69.7777777778 1.5232635061 0.2329343016 3.284917651
Within Groups 1511.6666666667 33 45.8080808081
Total 1651.2222222222 35

Total Data Analysis

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
LOT # 12 78 6.5 13
(ATC) Number of Shots 12 176 14.6666666667 27.1515151515
(RIA) Number of Shots 12 164 13.6666666667 20.7878787879
LOT # 12 78 6.5 13
(ATC) Mean Velocity 12 26549 2212.4166666667 302401.537878788
(RIA) Mean Velocity 12 26556 2213 309462.909090909
LOT # 12 78 6.5 13
(ATC) Standard Deviation 12 130 10.8333333333 52.1515151515
(RIA) Standard Deviation 12 126 10.5 72.2727272727
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 90579913.962963 8 11322489.2453704 166.486571504 7.03082593040216E-54 2.0332946244
Within Groups 6732833.91666667 99 68008.4234006734
Total 97312747.8796296 107

Sheet1

LOT # (ATC) Number of Shots (RIA) Number of Shots LOT # (ATC) Mean Velocity (RIA) Mean Velocity LOT # (ATC) Standard Deviation (RIA) Standard Deviation
1 14 9 1 1419 1409 1 10 27
2 10 15 2 1832 1821 2 29 5
3 12 12 3 1812 1819 3 18 11
4 26 10 4 1902 1882 4 3 6
5 11 10 5 2679 2738 5 10 28
6 13 11 6 1426 1430 6 15 7
7 13 15 7 2352 2343 7 9 5
8 12 18 8 2367 2349 8 6 4
9 25 20 9 2894 2865 9 2 3
10 14 23 10 2116 2133 10 9 8
11 14 10 11 2696 2678 11 9 8
12 12 11 12 3054 3089 12 10 14