Membrane.jmp Locked File /Library/App Treatments Count1 Notes From Jason Hsu's 11 37 Oneway 21 36 31 35 42 26 52 19 62 9 73 27 83 25 93 31 10 4 33 11 4 25 12 4 26 13 5 34 14 5 23 15 5 28 Columns (2/0) 16 6 40 2. 17 6 36 Treatments 18 6 37 Count1 19 7 26 20 7 33 21 7 32 Distributions Treatments=1 Count1 35 36 37 32 Distributions Treatments=2 Count1 Quantiles Summary Statistics Mean Std Dev Fitted Normal Distribution 36 Parameter Estimate Std Error Lower 95% Upper 95% 1 Location 36 0.5773503 33.515862 38.484138 Std Err Mean 0.5773503 Dispersion 1 0.5773503 0.5206583 6.2847347 Upper 95% Mean 38.484138 Measures Lower 95% Mean 33.515862 -2*LogLikelihood 7.5136312 N N Missing 3 AICC 0 BIC 9.7108558 Compare Distributions 38 10 15 20 20 25 25 Goodness-of-Fit Test Shapiro-Wilk W Prob Distributions Treatments=3 Count1 25 26 27 27 88 28 20 29 Quantiles Summary Statistics Mean Std Dev Fitted Normal Distribution 27.666667 Parameter Estimate Std Error Lower 95% Upper 95% 3.0550505 Location 27.666667 1.7638342 20.077501 35.255833 Std Err Mean 1.7638342 Dispersion 3.0550505 1.7638342 1.5906373 19.200182 Upper 95% Mean 35.255833 Lower 95% Mean 20.077501 Measures -2*LogLikelihood 14.214408 Compare Distributions 30 30 31 32 32 Distributions Treatments=4 Count1 26 - 28 8- 30 32 N N Missing 3 AICC 0 BIC 16.411632 Goodness-of-Fit Test W Prob Distributions Treatments=5 Count1 23 24 25 26 27 28 29 30 31 32 33 34 35 Distributions Treatments=6 Count1 36 40 37 88 38 39 Fitted Normal Distribution 28.333333 5.5075705 3.1797973 Parameter Estimate Std Error Lower 95% Upper 95% Location 28.333333 3.1797973 Dispersion 5.5075705 3.1797973 14.65177 2.8675621 42.014897 34.61362 42.014897 14.65177 Measures -2*LogLikelihood 17.750373 3 AICC 0 BIC 19.947597 Quantiles Summary Statistics Mean Std Dev Std Err Mean Upper 95% Mean Lower 95% Mean N N Missing Compare Distributions 10 40 41 Quantiles Summary Statistics Mean Std Dev Std Err Mean Upper 95% Mean 37.666667 2.081666 1.2018504 Compare Distributions Goodness-of-Fit Test W Prob Distributions Treatments=7 Count1 26 27 27 28 29 29 50 30 31 32 32 Quantiles Summary Statistics Mean Std Dev Std Err Mean Upper 95% Mean Fitted Normal Distribution 30.333333 3.7859389 2.1858128 Parameter Estimate Std Error Lower 95% Upper 95% Location 30.333333 2.1858128 Dispersion 3.7859389 2.1858128 20.92854 1.9711804 39.738127 23.793622 39.738127 Lower 95% Mean 20.92854 Measures -2*LogLikelihood 15.501395 N N Missing 3 AICC 0 BIC 17.698619 Compare Distributions 33 33 34 Goodness-of-Fit Test W Prob Oneway Analysis of Count1 By Treatments Count1 30 20 20 10 1 2 3 4 5 6 7 Treatments Tests that the Variances are Equal Std Dev 806 + 2 0 1 2 3 4 5 6 7 Treatments MeanAbsDif MeanAbsDif Level Count Std Dev to Mean to Median 1234567 3 1.000000 0.666667 0.666667 3 8.544004 6.000000 5.666667 3 3.055050 2.222222 2.000000 3 4.358899 3.333333 2.666667 3 5.507571 3.777778 3.666667 33 2.081666 1.555556 1.333333 3.785939 2.888889 2.333333 Test F Ratio DFNum DFDen Prob > F O'Brien[.5] Brown-Forsythe Levene Bartlett 1.0938 6 14 0.4127 0.8399 6 14 0.5596 1.7801 6 14 0.1752 1.2615 6 0.2714 Warning: Small sample sizes. Use Caution. Welch's Test Welch Anova testing Means Equal, allowing Std Devs Not Equal F Ratio DFNum DFDen 5.6872 6 5.8471 Prob > F 0.0278* Count1 10 30 20- Oneway Analysis of Count1 By Treatments 40 000 : 1 2 3 4 5 6 7 Treatments Oneway Anova Summary of Fit Rsquare 0.711511 Adj Rsquare 0.587872 Root Mean Square Error 4.649629 Mean of Response 29.42857 Observations (or Sum Wgts) 21 Analysis of Variance Sum of Source DF Squares Mean Square Treatments 6 746.4762 Error 14 302.6667 124.413 21.619 F Ratio Prob > F 5.7548 0.0034* C. Total 20 1049.1429 1234567 Means for Oneway Anova Level Number Mean Std Error 3 36.0000 2.6845 Lower 95% Upper 95% 30.242 41.758 3 18.0000 2.6845 12.242 23.758 3 27.6667 2.6845 21.909 33.424 3 28.0000 2.6845 22.242 33.758 3 28.3333 2.6845 22.576 34.091 3 37.6667 2.6845 31.909 43.424 3 30.3333 2.6845 24.576 36.091 Std Error uses a pooled estimate of error variance