PROGRAM ANOVA ANOVA Example Program ANOVA Example Data Input file name: AnovaExampleInput.txt This output file name: AnovaExampleOutputTwo.txt ALL GROUPS: One-Way Analysis of Variance F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 39.645971 4 9.911493 71.694837 2.533583 1.420581E-21 Within groups 7.879997 57 0.138246 Total 47.525968 61 0.779114 ALL GROUPS: Individual Group Statistics 95% confidence interval of the mean Number of Standard Standard lower upper responses Mean deviation error bound bound Group1 10 1.2 0.2 0.063246 0.808007 1.591993 Group2 12 1.5 0.5 0.144338 0.520018 2.479982 Group3 14 2.9 0.3 0.080178 2.312011 3.487989 Group4 11 0.9 0.1 0.030151 0.704003 1.095997 Group5 15 0.8 0.5 0.129099 -0.179982 1.779982 Total 62 1.491936 0.882675 0.1121 -0.238075 3.221946 minimum median maximum moment median quartile kurtosis excess skewness skewness skewness kurtosis Group1 0.707627 1.260295 1.444194 -1.40869 -0.904425 -0.273519 4.384987 1.384987 Group2 0.734716 1.602877 2.217603 -0.300377 -0.617259 0.137098 1.729251 -1.270749 Group3 2.188891 2.896188 3.260767 -0.867297 0.038126 0.00824 3.181533 0.181533 Group4 0.693198 0.939037 1.013007 -0.920833 -1.171105 0.433962 2.60365 -0.39635 Group5 0.244215 0.788955 1.874528 0.779399 0.06627 -1.0 2.619617 -0.380383 Total 0.244215 1.219797 3.260767 0.700137 0.924934 0.078237 2.235617 -0.764383 0.906237 Gaussian Probability Plot Correlation Gradient Intercept mu sigma coefficient Group1 0.807326 1.0 -1.855533E-8 1.2 0.179703 Group2 0.947279 1.0 -6.639827E-9 1.5 0.486641 Group3 0.908313 1.0 1.902037E-8 2.9 0.285916 Group4 0.892067 1.0 -2.403387E-8 0.9 0.09445 Group5 0.915202 1.0 -2.121944E-8 0.8 0.478331 total 0.906237 1.0 2.564543E-9 1.491936 0.840275 COMPARISON OF PAIRS OF GROUPS: One-Way Analysis of Variance Group1 and Group2 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 0.490909 1 0.490909 3.156975 4.351244 0.090817 Within groups 3.109998 20 0.1555 Total 3.600908 21 0.171472 Group1 and Group3 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 16.858335 1 16.858335 242.407577 4.30095 2.31562E-13 Within groups 1.529999 22 0.069545 Total 18.388334 23 0.799493 Group1 and Group4 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 0.471428 1 0.471428 19.472013 4.38075 2.989528E-4 Within groups 0.460001 19 0.024211 Total 0.931429 20 0.046571 Group1 and Group5 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 0.96 1 0.96 5.72021 4.279344 0.025337 Within groups 3.86 23 0.167826 Total 4.82 24 0.200833 Group2 and Group3 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 12.664615 1 12.664615 77.538521 4.259677 5.543669E-9 Within groups 3.919997 24 0.163333 Total 16.584612 25 0.663385 Group2 and Group4 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 2.066087 1 2.066087 15.223807 4.324794 8.214536E-4 Within groups 2.849999 21 0.135714 Total 4.916085 22 0.223458 Group2 and Group5 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 3.266668 1 3.266668 13.066678 4.241699 0.001323 Within groups 6.249997 25 0.25 Total 9.516665 26 0.366026 Group3 and Group4 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 24.64 1 24.64 446.236525 4.279344 1.462997E-16 Within groups 1.269999 23 0.055217 Total 25.909999 24 1.079583 Group3 and Group5 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 31.934487 1 31.934487 184.632017 4.210009 1.373322E-13 Within groups 4.669998 27 0.172963 Total 36.604485 28 1.307303 Group4 and Group5 F-ratio at Sum of Degrees of Mean 5% critical squares freedom square F-ratio level Significance Between groups 0.063462 1 0.063462 0.423078 4.259677 0.521584 Within groups 3.6 24 0.15 Total 3.663461 25 0.146539